Author: Alexander Belyaev
Publisher: World Scientific
ISBN: 9789812795526
Category : Technology
Languages : en
Pages : 464
Book Description
In the past twenty years, the scientific community has witnessed a technological revolution in products and processes, from consumer goods to factory automation systems. This revolution is based on the integration, right from the design phase, of the best that current technology can offer in electronics, control systems, computers, structures and mechanics. The terms that have emerged, for the synergetic approach to design, and integration of sensors, actuators, computers, structures and mechanics, are OC structronicsOCO and OC mechatronicsOCO. Structronics can be viewed as an integration of mechatronic systems into structures, which emphasizes a synergistic integration beginning at fertilization. Similar to mechatronics (established in the 1980s), structronics is recognized as one of the essential technologies in the 21st century. This comprehensive reference book gives an overview of the current state of structronics and mechatronics in both structural/mechanical and material systems. Consisting of nine self-contained chapters, it presents recent developments and covers emerging topics in the field. The key features include: . OCo treatment of the nonholonomic variables in robotics. OCo attenuation of fluid flow pulsation in hydraulic systems. OCo presentation of mathematical modeling and experiments on complex nonlinear dynamics of washing machines. OCo a survey of research findings in hydraulic gap control of rolling mills. OCo detailed description of mathematical modeling and nonlinear control of a temper controlling mill. OCo applications of high frequency dynamics in engineering structures. OCo development of novel computational methods to include plasticity and damage in flexible multibody systems. OCo new trends in optimal design of engineering structures. OCo a review of ionic polymer metal composites (IPMCs) as sensors, actuators and artificial muscles. Selected Topics in Structronics and Mechatronic Systems will be of interest to engineers, materials scientists, physicists and applied mathematicians. Contents: On the Use of Nonholonomic Variables in Robotics (H Bremer); Compensators for the Attenuation of Fluid Flow Pulsations in Hydraulic Systems (J Mikota); Some Aspects of Washing Complex Nonlinear Dynamics (M BolteAcentsar); Analysis and Nonlinear Control of Hydraulic Systems in Rolling Mills (R M Novak); Mathematical Modeling and Nonlinear Control of a Temper Rolling Mill (S Fuchshumer et al.); Combining Continuous and Discrete Energy Approaches to High Frequency Dynamics of Structures (A K Belyaev); Computational Methods for Elasto-Plastic Multibody Systems (J Gerstmayr); New Trends in Optimal Structural Control (K G Arvanitis et al.); Ionic PolymerOCoConductor Composites (IPCC) as Biomimietic Sensors, Actuators and Artificial Muscles (M Shahinpoor & A Guran). Readership: Engineers, materials scientists, physicists and applied mathematicians."
Selected Topics in Structronics and Mechatronic Systems
Author: Alexander Belyaev
Publisher: World Scientific
ISBN: 9789812795526
Category : Technology
Languages : en
Pages : 464
Book Description
In the past twenty years, the scientific community has witnessed a technological revolution in products and processes, from consumer goods to factory automation systems. This revolution is based on the integration, right from the design phase, of the best that current technology can offer in electronics, control systems, computers, structures and mechanics. The terms that have emerged, for the synergetic approach to design, and integration of sensors, actuators, computers, structures and mechanics, are OC structronicsOCO and OC mechatronicsOCO. Structronics can be viewed as an integration of mechatronic systems into structures, which emphasizes a synergistic integration beginning at fertilization. Similar to mechatronics (established in the 1980s), structronics is recognized as one of the essential technologies in the 21st century. This comprehensive reference book gives an overview of the current state of structronics and mechatronics in both structural/mechanical and material systems. Consisting of nine self-contained chapters, it presents recent developments and covers emerging topics in the field. The key features include: . OCo treatment of the nonholonomic variables in robotics. OCo attenuation of fluid flow pulsation in hydraulic systems. OCo presentation of mathematical modeling and experiments on complex nonlinear dynamics of washing machines. OCo a survey of research findings in hydraulic gap control of rolling mills. OCo detailed description of mathematical modeling and nonlinear control of a temper controlling mill. OCo applications of high frequency dynamics in engineering structures. OCo development of novel computational methods to include plasticity and damage in flexible multibody systems. OCo new trends in optimal design of engineering structures. OCo a review of ionic polymer metal composites (IPMCs) as sensors, actuators and artificial muscles. Selected Topics in Structronics and Mechatronic Systems will be of interest to engineers, materials scientists, physicists and applied mathematicians. Contents: On the Use of Nonholonomic Variables in Robotics (H Bremer); Compensators for the Attenuation of Fluid Flow Pulsations in Hydraulic Systems (J Mikota); Some Aspects of Washing Complex Nonlinear Dynamics (M BolteAcentsar); Analysis and Nonlinear Control of Hydraulic Systems in Rolling Mills (R M Novak); Mathematical Modeling and Nonlinear Control of a Temper Rolling Mill (S Fuchshumer et al.); Combining Continuous and Discrete Energy Approaches to High Frequency Dynamics of Structures (A K Belyaev); Computational Methods for Elasto-Plastic Multibody Systems (J Gerstmayr); New Trends in Optimal Structural Control (K G Arvanitis et al.); Ionic PolymerOCoConductor Composites (IPCC) as Biomimietic Sensors, Actuators and Artificial Muscles (M Shahinpoor & A Guran). Readership: Engineers, materials scientists, physicists and applied mathematicians."
Publisher: World Scientific
ISBN: 9789812795526
Category : Technology
Languages : en
Pages : 464
Book Description
In the past twenty years, the scientific community has witnessed a technological revolution in products and processes, from consumer goods to factory automation systems. This revolution is based on the integration, right from the design phase, of the best that current technology can offer in electronics, control systems, computers, structures and mechanics. The terms that have emerged, for the synergetic approach to design, and integration of sensors, actuators, computers, structures and mechanics, are OC structronicsOCO and OC mechatronicsOCO. Structronics can be viewed as an integration of mechatronic systems into structures, which emphasizes a synergistic integration beginning at fertilization. Similar to mechatronics (established in the 1980s), structronics is recognized as one of the essential technologies in the 21st century. This comprehensive reference book gives an overview of the current state of structronics and mechatronics in both structural/mechanical and material systems. Consisting of nine self-contained chapters, it presents recent developments and covers emerging topics in the field. The key features include: . OCo treatment of the nonholonomic variables in robotics. OCo attenuation of fluid flow pulsation in hydraulic systems. OCo presentation of mathematical modeling and experiments on complex nonlinear dynamics of washing machines. OCo a survey of research findings in hydraulic gap control of rolling mills. OCo detailed description of mathematical modeling and nonlinear control of a temper controlling mill. OCo applications of high frequency dynamics in engineering structures. OCo development of novel computational methods to include plasticity and damage in flexible multibody systems. OCo new trends in optimal design of engineering structures. OCo a review of ionic polymer metal composites (IPMCs) as sensors, actuators and artificial muscles. Selected Topics in Structronics and Mechatronic Systems will be of interest to engineers, materials scientists, physicists and applied mathematicians. Contents: On the Use of Nonholonomic Variables in Robotics (H Bremer); Compensators for the Attenuation of Fluid Flow Pulsations in Hydraulic Systems (J Mikota); Some Aspects of Washing Complex Nonlinear Dynamics (M BolteAcentsar); Analysis and Nonlinear Control of Hydraulic Systems in Rolling Mills (R M Novak); Mathematical Modeling and Nonlinear Control of a Temper Rolling Mill (S Fuchshumer et al.); Combining Continuous and Discrete Energy Approaches to High Frequency Dynamics of Structures (A K Belyaev); Computational Methods for Elasto-Plastic Multibody Systems (J Gerstmayr); New Trends in Optimal Structural Control (K G Arvanitis et al.); Ionic PolymerOCoConductor Composites (IPCC) as Biomimietic Sensors, Actuators and Artificial Muscles (M Shahinpoor & A Guran). Readership: Engineers, materials scientists, physicists and applied mathematicians."
Selected Topics In Structronics & Mechatronic Systems
Author: Alexander K Belyaev
Publisher: World Scientific
ISBN: 9814488038
Category : Technology & Engineering
Languages : en
Pages : 458
Book Description
In the past twenty years, the scientific community has witnessed a technological revolution in products and processes, from consumer goods to factory automation systems. This revolution is based on the integration, right from the design phase, of the best that current technology can offer in electronics, control systems, computers, structures and mechanics. The terms that have emerged, for the synergetic approach to design, and integration of sensors, actuators, computers, structures and mechanics, are “structronics” and “mechatronics”. Structronics can be viewed as an integration of mechatronic systems into structures, which emphasizes a synergistic integration beginning at fertilization. Similar to mechatronics (established in the 1980s), structronics is recognized as one of the essential technologies in the 21st century.This comprehensive reference book gives an overview of the current state of structronics and mechatronics in both structural/mechanical and material systems. Consisting of nine self-contained chapters, it presents recent developments and covers emerging topics in the field.The key features include:• treatment of the nonholonomic variables in robotics• attenuation of fluid flow pulsation in hydraulic systems• presentation of mathematical modeling and experiments on complex nonlinear dynamics of washing machines• a survey of research findings in hydraulic gap control of rolling mills• detailed description of mathematical modeling and nonlinear control of a temper controlling mill• applications of high frequency dynamics in engineering structures• development of novel computational methods to include plasticity and damage in flexible multibody systems• new trends in optimal design of engineering structures• a review of ionic polymer metal composites (IPMCs) as sensors, actuators and artificial musclesSelected Topics in Structronics and Mechatronic Systems will be of interest to engineers, materials scientists, physicists and applied mathematicians.
Publisher: World Scientific
ISBN: 9814488038
Category : Technology & Engineering
Languages : en
Pages : 458
Book Description
In the past twenty years, the scientific community has witnessed a technological revolution in products and processes, from consumer goods to factory automation systems. This revolution is based on the integration, right from the design phase, of the best that current technology can offer in electronics, control systems, computers, structures and mechanics. The terms that have emerged, for the synergetic approach to design, and integration of sensors, actuators, computers, structures and mechanics, are “structronics” and “mechatronics”. Structronics can be viewed as an integration of mechatronic systems into structures, which emphasizes a synergistic integration beginning at fertilization. Similar to mechatronics (established in the 1980s), structronics is recognized as one of the essential technologies in the 21st century.This comprehensive reference book gives an overview of the current state of structronics and mechatronics in both structural/mechanical and material systems. Consisting of nine self-contained chapters, it presents recent developments and covers emerging topics in the field.The key features include:• treatment of the nonholonomic variables in robotics• attenuation of fluid flow pulsation in hydraulic systems• presentation of mathematical modeling and experiments on complex nonlinear dynamics of washing machines• a survey of research findings in hydraulic gap control of rolling mills• detailed description of mathematical modeling and nonlinear control of a temper controlling mill• applications of high frequency dynamics in engineering structures• development of novel computational methods to include plasticity and damage in flexible multibody systems• new trends in optimal design of engineering structures• a review of ionic polymer metal composites (IPMCs) as sensors, actuators and artificial musclesSelected Topics in Structronics and Mechatronic Systems will be of interest to engineers, materials scientists, physicists and applied mathematicians.
Impact & Friction Of Solids, Structures & Machines: Theory & Applications In Engineering & Science, Intl Symp
Author: Ardeshir Guran
Publisher: World Scientific
ISBN: 9814492701
Category : Technology & Engineering
Languages : en
Pages : 376
Book Description
This book deals with the dynamics of mechanical systems in presence of impact and friction. The contributors are an international group of engineers and scientists from industrial and academic institutions of more than 23 countries around the world concerned with the modeling, analysis, measurement and control of nonsmooth mechanical structures. Contact laws lead to mathematical models that are highly nonlinear and nonsmooth or discontinuous. Discontinuous and nonsmooth processes introduce problems with data processing techniques and analytical methods. Thanks to great advances in computer technology and computational analysis, as well as the introduction of new experimental devices such as the atomic-force microscope and the quartz-crystal-microbalance probe, the study of impact and friction — one of the oldest problems in physics, is now in a phase of rapid and exciting development. The growing number of research breakthroughs have promoted the development of new technologies in the description and design of systems with impact and friction models to understand nature, structures, machines, transportation systems, and other processes. A fairly comprehensive picture of these new developments is presented in this book by researchers who are giving up-to-date accounts of the present state of the field in many aspects.The book is essential for introducing readers in mechanical engineering, material science, applied mathematics, aerospace engineering, ocean engineering, biomechanics, and civil engineering to recent developments in nonsmooth mechanics. It is also useful for self-study purposes by professionals and practitioners in the field.
Publisher: World Scientific
ISBN: 9814492701
Category : Technology & Engineering
Languages : en
Pages : 376
Book Description
This book deals with the dynamics of mechanical systems in presence of impact and friction. The contributors are an international group of engineers and scientists from industrial and academic institutions of more than 23 countries around the world concerned with the modeling, analysis, measurement and control of nonsmooth mechanical structures. Contact laws lead to mathematical models that are highly nonlinear and nonsmooth or discontinuous. Discontinuous and nonsmooth processes introduce problems with data processing techniques and analytical methods. Thanks to great advances in computer technology and computational analysis, as well as the introduction of new experimental devices such as the atomic-force microscope and the quartz-crystal-microbalance probe, the study of impact and friction — one of the oldest problems in physics, is now in a phase of rapid and exciting development. The growing number of research breakthroughs have promoted the development of new technologies in the description and design of systems with impact and friction models to understand nature, structures, machines, transportation systems, and other processes. A fairly comprehensive picture of these new developments is presented in this book by researchers who are giving up-to-date accounts of the present state of the field in many aspects.The book is essential for introducing readers in mechanical engineering, material science, applied mathematics, aerospace engineering, ocean engineering, biomechanics, and civil engineering to recent developments in nonsmooth mechanics. It is also useful for self-study purposes by professionals and practitioners in the field.
Analytical and Numerical Methods for Wave Propagation in Fluid Media
Author: Krzysztof Murawski
Publisher: World Scientific
ISBN: 9812381554
Category : Science
Languages : en
Pages : 255
Book Description
This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance. Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.
Publisher: World Scientific
ISBN: 9812381554
Category : Science
Languages : en
Pages : 255
Book Description
This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance. Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.
Generalized Point Models in Structural Mechanics
Author: Ivan V. Andronov
Publisher: World Scientific
ISBN: 9789810248789
Category : Technology & Engineering
Languages : en
Pages : 284
Book Description
This book presents the idea of zero-range potentials and shows the limitations of the point models used in structural mechanics. It also offers specific examples from the theory of generalized functions, regularization of super-singular integral equations and other specifics of the boundary value problems for partial differential operators of the fourth order.
Publisher: World Scientific
ISBN: 9789810248789
Category : Technology & Engineering
Languages : en
Pages : 284
Book Description
This book presents the idea of zero-range potentials and shows the limitations of the point models used in structural mechanics. It also offers specific examples from the theory of generalized functions, regularization of super-singular integral equations and other specifics of the boundary value problems for partial differential operators of the fourth order.
Dynamics with Friction
Author: Ardshir Guran
Publisher: World Scientific
ISBN: 9810229542
Category : Technology & Engineering
Languages : en
Pages : 329
Book Description
The dynamics of dissipative mechanical and structural systems is being investigated at various institutions and laboratories worldwide with ever-increasing sophistication of modeling, analysis and experiments.This book offers a collection of contributions from these research centers that represent the state-of-the-art in the study of friction oscillators. It provides the reader with the fruits of a team effort by leaders in this fascinating field.The present part II of this volume on Dynamics with Friction is a continuation of the previous part I, and is designed to help synthesize our current knowledge regarding the role of friction in mechanical and structural systems as well as everyday life. The topics covered include interaction of vibration and friction at dry sliding contacts, friction-induced instability in disks, dynamics of lubricated flexible links in kinematic chains, modal interactions in periodic structures, dynamics of an experimentally excited beam, transient waves in viscoelastic materials, dynamic stability of plates with damping, friction modeling and dynamic computation, damping through use of passive and semi-active dry friction forces.This book gives a comprehensive picture of dynamics of dissipative mechanical and structural systems. It also gives an up-to-date account of the present state of the field. It will be of interest to engineers, rheologists, material scientists, applied mathematicians, physicists and historians of science and technology.
Publisher: World Scientific
ISBN: 9810229542
Category : Technology & Engineering
Languages : en
Pages : 329
Book Description
The dynamics of dissipative mechanical and structural systems is being investigated at various institutions and laboratories worldwide with ever-increasing sophistication of modeling, analysis and experiments.This book offers a collection of contributions from these research centers that represent the state-of-the-art in the study of friction oscillators. It provides the reader with the fruits of a team effort by leaders in this fascinating field.The present part II of this volume on Dynamics with Friction is a continuation of the previous part I, and is designed to help synthesize our current knowledge regarding the role of friction in mechanical and structural systems as well as everyday life. The topics covered include interaction of vibration and friction at dry sliding contacts, friction-induced instability in disks, dynamics of lubricated flexible links in kinematic chains, modal interactions in periodic structures, dynamics of an experimentally excited beam, transient waves in viscoelastic materials, dynamic stability of plates with damping, friction modeling and dynamic computation, damping through use of passive and semi-active dry friction forces.This book gives a comprehensive picture of dynamics of dissipative mechanical and structural systems. It also gives an up-to-date account of the present state of the field. It will be of interest to engineers, rheologists, material scientists, applied mathematicians, physicists and historians of science and technology.
Acoustic Interactions With Submerged Elastic Structures: Part Iv: Nondestructive Testing, Acoustic Wave Propagation And Scattering
Author: Anders Bostrom
Publisher: World Scientific
ISBN: 9814493317
Category : Science
Languages : en
Pages : 506
Book Description
This series of volumes constitutes an outstanding collection of contributions by the most active research workers in the area of acoustics and mechanics. It brings the reader up to date on the status of the various aspects of research in this field. The volumes should preserve their value for a long time, as they represent a monument to the achievements of human research capabilities in the underwater-acoustics aspects of the environment.
Publisher: World Scientific
ISBN: 9814493317
Category : Science
Languages : en
Pages : 506
Book Description
This series of volumes constitutes an outstanding collection of contributions by the most active research workers in the area of acoustics and mechanics. It brings the reader up to date on the status of the various aspects of research in this field. The volumes should preserve their value for a long time, as they represent a monument to the achievements of human research capabilities in the underwater-acoustics aspects of the environment.
Acoustic Interactions With Submerged Elastic Structures - Part Ii: Propagation, Ocean Acoustics And Scattering
Author: Juri Engelbrecht
Publisher: World Scientific
ISBN: 9814497827
Category : Science
Languages : en
Pages : 389
Book Description
The interaction of acoustic fields with submerged elastic structures, both by propagation and scattering, is being investigated at various institutions and laboratories world-wide with ever-increasing sophistication of experiments and analysis. This book offers a collection of contributions from these research centers that represent the present state-of-the-art in the study of acoustic elastic interaction, being on the cutting edge of these investigations. This includes the description of acoustic scattering from submerged elastic objects and shells by the Resonance Scattering Theory of Flax, Dragonette and Überall, and the interaction of these phenomena in terms of interface waves. It also includes the use of this theory for the purpose of inverse scattering, i.e. the determination of the scattered objects properties from the received acoustic backscattered signals. The problem of acoustically excited waves in inhomogeneous and anisotropic materials, and of inhomogeneous propagating waves is considered. Vibrations and resonances of elastic shells, including shells with various kinds of internal attachments, are analyzed. Acoustic scattering experiments are described in the time domain, and on the basis of the Wigner-Ville distribution. Acoustic propagation in the water column over elastic boundaries is studied experimentally both in laboratory tanks, and in the field, and is analyzed theoretically. Ultrasonic nondestructive testing, including such aspects like probe modelling, scattering by various types of cracks, receiving probes and calibration by a side-drilled hole is also studied in details.A comprehensive picture of these complex phenomena and other aspects is presented in the book by researchers that are experts in each of these domains, giving up-to-date accounts of the field in all these aspects.
Publisher: World Scientific
ISBN: 9814497827
Category : Science
Languages : en
Pages : 389
Book Description
The interaction of acoustic fields with submerged elastic structures, both by propagation and scattering, is being investigated at various institutions and laboratories world-wide with ever-increasing sophistication of experiments and analysis. This book offers a collection of contributions from these research centers that represent the present state-of-the-art in the study of acoustic elastic interaction, being on the cutting edge of these investigations. This includes the description of acoustic scattering from submerged elastic objects and shells by the Resonance Scattering Theory of Flax, Dragonette and Überall, and the interaction of these phenomena in terms of interface waves. It also includes the use of this theory for the purpose of inverse scattering, i.e. the determination of the scattered objects properties from the received acoustic backscattered signals. The problem of acoustically excited waves in inhomogeneous and anisotropic materials, and of inhomogeneous propagating waves is considered. Vibrations and resonances of elastic shells, including shells with various kinds of internal attachments, are analyzed. Acoustic scattering experiments are described in the time domain, and on the basis of the Wigner-Ville distribution. Acoustic propagation in the water column over elastic boundaries is studied experimentally both in laboratory tanks, and in the field, and is analyzed theoretically. Ultrasonic nondestructive testing, including such aspects like probe modelling, scattering by various types of cracks, receiving probes and calibration by a side-drilled hole is also studied in details.A comprehensive picture of these complex phenomena and other aspects is presented in the book by researchers that are experts in each of these domains, giving up-to-date accounts of the field in all these aspects.
Mathematical Problems Of Control Theory: An Introduction
Author: Gennady A Leonov
Publisher: World Scientific
ISBN: 981449058X
Category : Mathematics
Languages : en
Pages : 182
Book Description
This book shows clearly how the study of concrete control systems has motivated the development of the mathematical tools needed for solving such problems. In many cases, by using this apparatus, far-reaching generalizations have been made, and its further development will have an important effect on many fields of mathematics.In the book a way is demonstrated in which the study of the Watt flyball governor has given rise to the theory of stability of motion. The criteria of controllability, observability, and stabilization are stated. Analysis is made of dynamical systems, which describe an autopilot, spacecraft orientation system, controllers of a synchronous electric machine, and phase-locked loops. The Aizerman and Brockett problems are discussed and an introduction to the theory of discrete control systems is given.
Publisher: World Scientific
ISBN: 981449058X
Category : Mathematics
Languages : en
Pages : 182
Book Description
This book shows clearly how the study of concrete control systems has motivated the development of the mathematical tools needed for solving such problems. In many cases, by using this apparatus, far-reaching generalizations have been made, and its further development will have an important effect on many fields of mathematics.In the book a way is demonstrated in which the study of the Watt flyball governor has given rise to the theory of stability of motion. The criteria of controllability, observability, and stabilization are stated. Analysis is made of dynamical systems, which describe an autopilot, spacecraft orientation system, controllers of a synchronous electric machine, and phase-locked loops. The Aizerman and Brockett problems are discussed and an introduction to the theory of discrete control systems is given.
Asymptotic Methods in the Buckling Theory of Elastic Shells
Author: P. E. Tovstik
Publisher: World Scientific
ISBN: 9789812794567
Category : Mathematics
Languages : en
Pages : 368
Book Description
1. Equations of thin elastic shell theory. 1.1. Elements of surface theory. 1.2. Equilibrium equations and boundary conditions. 1.3. Errors of 2D shell theory of Kirchhoff-Love type. 1.4. Membrane stress state. 1.5. Technical shell theory equations. 1.6. Technical theory equations in the other cases. 1.7. Shallow shells. 1.8. Initial imperfections. 1.9. Cylindrical shells. 1.10. The potential energy of shell deformation. 1.11. Problems and exercises -- 2. Basic equations of shell buckling. 2.1. Types of elastic shell buckling. 2.2. The buckling equations. 2.3. The buckling equations for a membrane state. 2.4. buckling equations of the general stress state. 2.5. Problems and exercises -- 3. Simple buckling problems. 3.1. Buckling of a shallow convex shell. 3.2. Shallow shell buckling modes. 3.3. The non-uniqueness of buckling modes. 3.4. A circular cylindrical shell under axial compression. 3.5. A circular cylindrical shell under external pressure. 3.6. Estimates of critical load. 3.7. Problems and examples -- 4. Buckling modes localized near parallels. 4.1. Local shell buckling modes. 4.2. Construction algorithm of buckling modes. 4.3. Buckling modes of convex shells of revolution. 4.4. Buckling of shells of revolution without torsion. 4.5. Buckling of shells of revolution under torsion. 4.6. Problems and exercises -- 5. Non-homogeneous axial compression of cylindrical shells. 5.1. Buckling modes localized near generatrix. 5.2. Reconstruction of the asymptotic expansions. 5.3. Axial compression and bending of cylindrical shell. 5.4. The influence of internal pressure. 5.5. Buckling of a non-circular cylindrical shell. 5.6. Cylindrical shell with curvature of variable sign. 5.7. Problems and exercises -- 6. Buckling modes localized at a point. 6.1. Local buckling of convex shells. 6.2. Construction of the buckling mode. 6.3. Ellipsoid of revolution under combined load. 6.4. Cylindrical shell under axial compression. 6.5. Construction of the buckling modes. 6.6. Problems and exercises -- 7. Semi-momentless buckling modes. 7.1. Basic equations and boundary conditions. 7.2. Buckling modes for a conic shell. 7.3. Effect of initial membrane stress resultants. 7.4 Semi-momentless buckling modes of cylindrical shells. 7.5. Problems and exercises -- 8. Effect of boundary conditions on semi-momentless modes. 8.1. Construction algorithm for semi-momentless solutions. 8.2. Semi-momentless solutions. 8.3. Edge effect solutions. 8.4. Separation of boundary conditions. 8.5. The effect of boundary conditions on the critical load. 8.6. Boundary conditions and buckling of a cylindrical shell. 8.7. Conic shells under external pressure. 8.8. Problems and exercises -- 9. Torsion and bending of cylindrical and conic shells. 9.1. Torsion of cylindrical shells. 9.2. Cylindrical shell under combined loading. 9.3. A shell with non-constant parameters under torsion. 9.4. Bending of a cylindrical shell. 9.5. The torsion and bending of a conic shell. 9.6. Problems and exercises -- 10. Nearly cylindrical and conic shells. 10.1. Basic relations. 10.2. Boundary problem in the zeroth approximation. 10.3. Buckling of a nearly cylindrical shell. 10.4. Torsion of a nearly cylindrical shell. 10.5. Problems and exercises -- 11. Shells of revolution of negative Gaussian curvature. 11.1. Initial equations and their solutions. 11.2. Separation of the boundary conditions. 11.3. Boundary problem in the zeroth approximation. 11.4. Buckling modes without torsion. 11.5. The case of the neutral surface bending. 11.6. The buckling of a torus sector. 11.7. Shell with Gaussian curvature of variable sign. 11.8. Problems and exercises -- 12. Surface bending and shell buckling. 12.1. The transformation of potential energy. 12.2. Pure bending buckling mode of shells of revolution. 12.3. The buckling of a weakly supported shell of revolution. 12.4. Weakly supported cylindrical and conical shells. 12.5. Weakly supported shells of negative Gaussian curvature. 12.6. Problems and exercises -- 13. Buckling modes localized at an edge. 13.1. Rectangular plates under compression. 13.2. Cylindrical shells and panels under axial compression. 13.3. Cylindrical panel with a weakly supported edge. 13.4. Shallow shell with a weak edge support. 13.5. Modes of shells of revolution localized near an edge. 13.6. Buckling modes with turning points. 13.7. Modes localized near the weakest point on an edge. 13.8. Problems and exercises -- 14. Shells of revolution under general stress state. 14.1. The basic equations and edge effect solutions. 14.2. Buckling with pseudo-bending modes. 14.3. The cases of significant effect of pre-buckling strains. 14.4. The weakest parallel coinciding with an edge. 14.5. Problems and exercises.
Publisher: World Scientific
ISBN: 9789812794567
Category : Mathematics
Languages : en
Pages : 368
Book Description
1. Equations of thin elastic shell theory. 1.1. Elements of surface theory. 1.2. Equilibrium equations and boundary conditions. 1.3. Errors of 2D shell theory of Kirchhoff-Love type. 1.4. Membrane stress state. 1.5. Technical shell theory equations. 1.6. Technical theory equations in the other cases. 1.7. Shallow shells. 1.8. Initial imperfections. 1.9. Cylindrical shells. 1.10. The potential energy of shell deformation. 1.11. Problems and exercises -- 2. Basic equations of shell buckling. 2.1. Types of elastic shell buckling. 2.2. The buckling equations. 2.3. The buckling equations for a membrane state. 2.4. buckling equations of the general stress state. 2.5. Problems and exercises -- 3. Simple buckling problems. 3.1. Buckling of a shallow convex shell. 3.2. Shallow shell buckling modes. 3.3. The non-uniqueness of buckling modes. 3.4. A circular cylindrical shell under axial compression. 3.5. A circular cylindrical shell under external pressure. 3.6. Estimates of critical load. 3.7. Problems and examples -- 4. Buckling modes localized near parallels. 4.1. Local shell buckling modes. 4.2. Construction algorithm of buckling modes. 4.3. Buckling modes of convex shells of revolution. 4.4. Buckling of shells of revolution without torsion. 4.5. Buckling of shells of revolution under torsion. 4.6. Problems and exercises -- 5. Non-homogeneous axial compression of cylindrical shells. 5.1. Buckling modes localized near generatrix. 5.2. Reconstruction of the asymptotic expansions. 5.3. Axial compression and bending of cylindrical shell. 5.4. The influence of internal pressure. 5.5. Buckling of a non-circular cylindrical shell. 5.6. Cylindrical shell with curvature of variable sign. 5.7. Problems and exercises -- 6. Buckling modes localized at a point. 6.1. Local buckling of convex shells. 6.2. Construction of the buckling mode. 6.3. Ellipsoid of revolution under combined load. 6.4. Cylindrical shell under axial compression. 6.5. Construction of the buckling modes. 6.6. Problems and exercises -- 7. Semi-momentless buckling modes. 7.1. Basic equations and boundary conditions. 7.2. Buckling modes for a conic shell. 7.3. Effect of initial membrane stress resultants. 7.4 Semi-momentless buckling modes of cylindrical shells. 7.5. Problems and exercises -- 8. Effect of boundary conditions on semi-momentless modes. 8.1. Construction algorithm for semi-momentless solutions. 8.2. Semi-momentless solutions. 8.3. Edge effect solutions. 8.4. Separation of boundary conditions. 8.5. The effect of boundary conditions on the critical load. 8.6. Boundary conditions and buckling of a cylindrical shell. 8.7. Conic shells under external pressure. 8.8. Problems and exercises -- 9. Torsion and bending of cylindrical and conic shells. 9.1. Torsion of cylindrical shells. 9.2. Cylindrical shell under combined loading. 9.3. A shell with non-constant parameters under torsion. 9.4. Bending of a cylindrical shell. 9.5. The torsion and bending of a conic shell. 9.6. Problems and exercises -- 10. Nearly cylindrical and conic shells. 10.1. Basic relations. 10.2. Boundary problem in the zeroth approximation. 10.3. Buckling of a nearly cylindrical shell. 10.4. Torsion of a nearly cylindrical shell. 10.5. Problems and exercises -- 11. Shells of revolution of negative Gaussian curvature. 11.1. Initial equations and their solutions. 11.2. Separation of the boundary conditions. 11.3. Boundary problem in the zeroth approximation. 11.4. Buckling modes without torsion. 11.5. The case of the neutral surface bending. 11.6. The buckling of a torus sector. 11.7. Shell with Gaussian curvature of variable sign. 11.8. Problems and exercises -- 12. Surface bending and shell buckling. 12.1. The transformation of potential energy. 12.2. Pure bending buckling mode of shells of revolution. 12.3. The buckling of a weakly supported shell of revolution. 12.4. Weakly supported cylindrical and conical shells. 12.5. Weakly supported shells of negative Gaussian curvature. 12.6. Problems and exercises -- 13. Buckling modes localized at an edge. 13.1. Rectangular plates under compression. 13.2. Cylindrical shells and panels under axial compression. 13.3. Cylindrical panel with a weakly supported edge. 13.4. Shallow shell with a weak edge support. 13.5. Modes of shells of revolution localized near an edge. 13.6. Buckling modes with turning points. 13.7. Modes localized near the weakest point on an edge. 13.8. Problems and exercises -- 14. Shells of revolution under general stress state. 14.1. The basic equations and edge effect solutions. 14.2. Buckling with pseudo-bending modes. 14.3. The cases of significant effect of pre-buckling strains. 14.4. The weakest parallel coinciding with an edge. 14.5. Problems and exercises.