Author: Eric C. N. WesterPublisher:
ISBN:
Category : Sound-waves
Languages : en
Pages : 524
Book Description
A Wave Component Approach to the Analysis of Vibrations in Complex Structures
Author: Eric C. N. WesterPublisher:
ISBN:
Category : Sound-waves
Languages : en
Pages : 524
Book Description
Wave Propagation Approach for Structural Vibration
Author: Chongjian WuPublisher: Springer Nature
ISBN: 9811572372
Category : Technology & Engineering
Languages : en
Pages : 288
Book Description
This book is intended for researchers, graduate students and engineers in the fields of structure-borne sound, structural dynamics, and noise and vibration control. Based on vibration differential equations, it presents equations derived from the exponential function in the time domain, providing a unified framework for structural vibration analysis, which makes it more regular and normalized. This wave propagation approach (WPA) divides structures at “discontinuity points,” and the waves show characteristics of propagation, reflection, attenuation, and waveform conversion. In each segment of the system between two “discontinuity points,” the governing equation and constraint are expressed accurately, allowing the dynamic properties of complex systems to be precisely obtained. Starting with basic structures such as beams and plates, the book then discusses theoretical research on complicated and hybrid dynamical systems, and demonstrates that structural vibration can be analyzed from the perspective of elastic waves by applying WPA.
Structural Vibration
Author: C. BeardsPublisher: Elsevier
ISBN: 0080518052
Category : Technology & Engineering
Languages : en
Pages : 289
Book Description
Many structures suffer from unwanted vibrations and, although careful analysis at the design stage can minimise these, the vibration levels of many structures are excessive. In this book the entire range of methods of control, both by damping and by excitation, is described in a single volume.Clear and concise descriptions are given of the techniques for mathematically modelling real structures so that the equations which describe the motion of such structures can be derived. This approach leads to a comprehensive discussion of the analysis of typical models of vibrating structures excited by a range of periodic and random inputs. Careful consideration is also given to the sources of excitation, both internal and external, and the effects of isolation and transmissability. A major part of the book is devoted to damping of structures and many sources of damping are considered, as are the ways of changing damping using both active and passive methods. The numerous worked examples liberally distributed throughout the text, amplify and clarify the theoretical analysis presented. Particular attention is paid to the meaning and interpretation of results, further enhancing the scope and applications of analysis. Over 80 problems are included with answers and worked solutions to most. This book provides engineering students, designers and professional engineers with a detailed insight into the principles involved in the analysis and damping of structural vibration while presenting a sound theoretical basis for further study. Suitable for students of engineering to first degree level and for designers and practising engineersNumerous worked examplesClear and easy to follow
Mechanical Wave Vibrations
Author: Chunhui MeiPublisher: John Wiley & Sons
ISBN: 1119135052
Category : Technology & Engineering
Languages : en
Pages : 452
Book Description
Mechanical Wave Vibrations An elegant and accessible exploration of the fundamentals of the analysis and control of vibration in structures from a wave standpoint In Mechanical Wave Vibrations: Analysis and Control, Professor Chunhui Mei delivers an expert discussion of the wave analysis approach (as opposed to the modal-based approach) to mechanical vibrations in structures. The book begins with deriving the equations of motion using the Newtonian approach based on various sign conventions before comprehensively covering the wave vibration analysis approach. It concludes by exploring passive and active feedback control of mechanical vibration waves in structures. The author discusses vibration analysis and control strategies from a wave standpoint and examines the applications of the presented wave vibration techniques to structures of various complexity. Readers will find in the book: A thorough introduction to mechanical wave vibration analysis, including the governing equations of various types of vibrations Comprehensive explorations of waves in simple rods and beams, including advanced vibration theories Practical discussions of coupled waves in composite and curved beams Extensive coverage of wave mode conversions in built-up planar and spatial frames and networks Complete treatments of passive and active feedback wave vibration control MATLAB® scripts both in the book and in a companion solutions manual for instructors Mechanical Wave Vibrations: Analysis and Control is written as a textbook for both under-graduate and graduate students studying mechanical, aerospace, automotive, and civil engineering. It will also benefit researchers and educators working in the areas of vibrations and waves.
Mechanical and Structural Vibrations
Author: Jerry H. GinsbergPublisher: John Wiley & Sons
ISBN: 0471370843
Category : Technology & Engineering
Languages : en
Pages : 727
Book Description
This book provides a new viewpoint for the study of vibrations exhibited by mechanical and structural systems. Tight integration of mathematical software makes it possible to address real world complexity in a manner that is readily accessible to the reader. It offers new approaches for discrete system modeling and for analysis of continuous systems. Substantial attention is given to several topics of practical importance, including FFT's experimental modal analysis, substructuring concepts, and response of heavily damped and gyroscopic systems.
3-DIMENSIONAL VIBRATION ANALYS
Author: Ding ZhouPublisher: Open Dissertation Press
ISBN: 9781374716315
Category : Technology & Engineering
Languages : en
Pages : 284
Book Description
This dissertation, "Three-dimensional Vibration Analysis of Structural Elements Using Chebyshev-Ritz Method" by Ding, Zhou, 周叮, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract of thesis entitled "Three-dimensional Vibration Analysis of Structural Elements Using Chebyshev-Ritz Method" Submitted by ZHOU Ding for the degree of Doctor of Philosophy at The University of Hong Kong in May 2003 The three-dimensional (3-D) free vibration of structural components with common shapes is analyzed based on the theory of small strain linear elasticity. The Ritz method is applied to derive the eigenfrequency equation. For each displacement component, the kinematically admissible functions are taken as the product of the Chebyshev polynomial series and a boundary characteristic function. The Chebyshev polynomial series forms the main part of the admissible functions while the boundary characteristic function ensures the satisfaction of the geometric boundary conditions. Such a method is called the Chebyshev-Ritz method. The excellent properties of the Chebyshev polynomials in numerical analysis and functional approximation guarantee high accuracy, rapid convergence and numerical robustness. In the analysis, four approaches to the construction of the admissible functions were explored. The Direct-A approach was applied to structures with regular shapes and simple boundary conditions. The Direct-B approach was applied to structures with convex shapes and simple boundary conditions. The Mapping approach, which used the coordinate mapping method, was applied to structures with convex shapes and simple boundary conditions. The R-function approach, the most general method, is suitable for structures with arbitrary shapes and any boundary conditions, and was applied to structures with complex boundary conditions. iThese approaches, if coupled with a suitable coordinate system to describe displacements, stresses and strains in the structure under consideration, allow most common structures to be dealt with. The vibratory characteristics of thirteen kinds of common structures were analyzed in details to illustrate their application. The Direct-A approach was used to study rectangular plates with/without elastic foundation, circular and annular plates with/without elastic foundation, circular and annular cylinders, and solid tori have been studied in Cartesian coordinate system, cylinder coordinate system and toroidal coordinate system respectively. This approach was also coupled with the domain decomposition technique to analyze the built-in circular plates. The Direct-B approach was used to analyze generalized super elliptical plates. The Mapping approach was used to analyze triangular plates/prisms and skew plates/prisms. The R-function method was used to analyze rectangular plates with complex boundary conditions. These approaches obtained results of high accuracy and robustness, indicating that the Chebyshev-Ritz method can be usefully applied in a variety of practical applications. ii DOI: 10.5353/th_b2751120 Subjects: Vibration - Mathematical models Strains and stresses Chebyshev polynomials
IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties
Author: Alexander K. BelyaevPublisher: Springer Science & Business Media
ISBN: 9400702892
Category : Technology & Engineering
Languages : en
Pages : 471
Book Description
The Symposium was aimed at the theoretical and numerical problems involved in modelling the dynamic response of structures which have uncertain properties due to variability in the manufacturing and assembly process, with automotive and aerospace structures forming prime examples. It is well known that the difficulty in predicting the response statistics of such structures is immense, due to the complexity of the structure, the large number of variables which might be uncertain, and the inevitable lack of data regarding the statistical distribution of these variables. The Symposium participants presented the latest thinking in this very active research area, and novel techniques were presented covering the full frequency spectrum of low, mid, and high frequency vibration problems. It was demonstrated that for high frequency vibrations the response statistics can saturate and become independent of the detailed distribution of the uncertain system parameters. A number of presentations exploited this physical behaviour by using and extending methods originally developed in both phenomenological thermodynamics and in the fields of quantum mechanics and random matrix theory. For low frequency vibrations a number of presentations focussed on parametric uncertainty modelling (for example, probabilistic models, interval analysis, and fuzzy descriptions) and on methods of propagating this uncertainty through a large dynamic model in an effi cient way. At mid frequencies the problem is mixed, and various hybrid schemes were proposed. It is clear that a comprehensive solution to the problem of predicting the vibration response of uncertain structures across the whole frequency range requires expertise across a wide range of areas (including probabilistic and non-probabilistic methods, interval and info-gap analysis, statistical energy analysis, statistical thermodynamics, random wave approaches, and large scale computations) and this IUTAM symposium presented a unique opportunity to bring together outstanding international experts in these fields.
Random Vibrations
Author: Loren D. LutesPublisher: Butterworth-Heinemann
ISBN: 0750677651
Category : Science
Languages : en
Pages : 652
Book Description
The topic of Random Vibrations is the behavior of structural and mechanical systems when they are subjected to unpredictable, or random, vibrations. These vibrations may arise from natural phenomena such as earthquakes or wind, or from human-controlled causes such as the stresses placed on aircraft at takeoff and landing. Study and mastery of this topic enables engineers to design and maintain structures capable of withstanding random vibrations, thereby protecting human life. Random Vibrations will lead readers in a user-friendly fashion to a thorough understanding of vibrations of linear and nonlinear systems that undergo stochastic-random-excitation. Provides over 150 worked out example problems and, along with over 225 exercises, illustrates concepts with true-to-life engineering design problems Offers intuitive explanations of concepts within a context of mathematical rigor and relatively advanced analysis techniques. Essential for self-study by practicing engineers, and for instruction in the classroom.
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