Upper and Lower Bounds to Structural Deformations by Dual Analysis in Finite Elements PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Upper and Lower Bounds to Structural Deformations by Dual Analysis in Finite Elements PDF full book. Access full book title Upper and Lower Bounds to Structural Deformations by Dual Analysis in Finite Elements by G. Sander. Download full books in PDF and EPUB format.
Author: G. Sander Publisher: ISBN: Category : Boundary value problems Languages : en Pages : 330
Book Description
Extensive comparison studies were run on different idealizations and on the use of different types of finite elements for the analysis of a single spar, a rectangular section box beam, a multispar swept wing and a centrally loaded rectangular plate. The results indicate that the principle of a dual analysis, with its capability to provide upper and lower bounds to the structural deflections, is of practical value. Convergence in the deflection pattern, from above and from below, is equally satisfactory. Convergence and evaluation of the stress output is sometimes more difficult. However, the more sophisticated elements generate stresses that are simpler to interpret and less sensitive to the geometrical subdivision pattern. The report contains the theory of the conforming displacement models and stress-diffusing equilibrium models required for obtaining strain energy bounds, with a description of the models that were operational in the numerical studies. It also contains a description of the ASEF, direct stiffness type, program.
Author: G. Sander Publisher: ISBN: Category : Boundary value problems Languages : en Pages : 330
Book Description
Extensive comparison studies were run on different idealizations and on the use of different types of finite elements for the analysis of a single spar, a rectangular section box beam, a multispar swept wing and a centrally loaded rectangular plate. The results indicate that the principle of a dual analysis, with its capability to provide upper and lower bounds to the structural deflections, is of practical value. Convergence in the deflection pattern, from above and from below, is equally satisfactory. Convergence and evaluation of the stress output is sometimes more difficult. However, the more sophisticated elements generate stresses that are simpler to interpret and less sensitive to the geometrical subdivision pattern. The report contains the theory of the conforming displacement models and stress-diffusing equilibrium models required for obtaining strain energy bounds, with a description of the models that were operational in the numerical studies. It also contains a description of the ASEF, direct stiffness type, program.
Author: Michael Griebel Publisher: Springer Science & Business Media ISBN: 354027099X Category : Mathematics Languages : en Pages : 307
Book Description
The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the papers from the proceedings of the Second International Workshop on Meshfree Methods held in September 2003 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this new and exciting area of interdisciplinary research and to present recent advances and results in this field.
Author: Publisher: ISBN: Category : Aeronautics Languages : en Pages : 732
Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author: O. C. Zienkiewicz Publisher: Elsevier ISBN: 0080531679 Category : Technology & Engineering Languages : en Pages : 1863
Book Description
The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics.* This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference
Author: Society for Industrial and Applied Mathematics Publisher: American Mathematical Soc. ISBN: 9780821813218 Category : Mathematics Languages : en Pages : 294
Author: O. C. Zienkiewicz Publisher: Butterworth-Heinemann ISBN: 008095135X Category : Technology & Engineering Languages : en Pages : 753
Book Description
The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book's content to enable clearer development of the finite element method, with major new chapters and sections added to cover: - Weak forms - Variational forms - Multi-dimensional field problems - Automatic mesh generation - Plate bending and shells - Developments in meshless techniques Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis. - A proven keystone reference in the library of any engineer needing to understand and apply the finite element method in design and development - Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience - Features reworked and reordered contents for clearer development of the theory, plus new chapters and sections on mesh generation, plate bending, shells, weak forms and variational forms
Author: J. T. Oden Publisher: Courier Corporation ISBN: 0486317900 Category : Technology & Engineering Languages : en Pages : 517
Book Description
Geared toward undergraduate and graduate students, this text extends applications of the finite element method from linear problems in elastic structures to a broad class of practical, nonlinear problems in continuum mechanics. It treats both theory and applications from a general and unifying point of view. The text reviews the thermomechanical principles of continuous media and the properties of the finite element method, and then brings them together to produce discrete physical models of nonlinear continua. The mathematical properties of these models are analyzed, along with the numerical solution of the equations governing the discrete model. Though the theory and methods are sufficiently general to be applied to any nonlinear problem, emphasis has been placed on problems in finite elasticity, viscoelasticity, heat conduction, and thermoviscoelasticity. Problems in rarefied gas dynamics and nonlinear partial differential equations are also examined. Other topics include topological properties of finite element models, applications to linear and nonlinear boundary value problems, and discrete models of nonlinear thermomechanical behavior of dissipative media. This comprehensive text is valuable not only to students of structural analysis and continuum mechanics but also to professionals researching the numerical analysis of continua
Author: G. Sander
Author: G. Sander
Author: Haichang Hu
Author: 
Author: Michael Griebel
Author: 
Author: O. C. Zienkiewicz
Author: Society for Industrial and Applied Mathematics
Author: O. C. Zienkiewicz
Author: O. C. Zienkiewicz
Author: J. T. Oden