Dynamics Of Elastic Systems
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Author | : Surkay D. Akbarov |
Publisher | : Springer |
Total Pages | : 1018 |
Release | : 2015-02-11 |
Genre | : Science |
ISBN | : 331914460X |
This book deals with dynamics of pre-stressed or pre-strained bi-material elastic systems consisting of stack of pre-stressed layers, stack of pre-stressed layers and pre-stressed half space (or half plane), stack of pre-stressed layers as well as absolute rigid foundation, pre-stressed compound solid and hollow cylinders and pre-stressed sandwich hollow cylinders. The problems considered in the book relate to the dynamics of a moving and oscillating moving load, forced vibration caused by linearly located or point located time-harmonic forces acting to the foregoing systems. Moreover, a considerable part of the book relate to the problems regarding the near surface, torsional and axisymmetric longitudinal waves propagation and dispersion in the noted above bi-material elastic systems. The book carries out the investigations within the framework of the piecewise homogeneous body model with the use of the Three-Dimensional Linearized Theory of Elastic Waves in Initially Stressed Bodies.
Author | : Hartmut Bremer |
Publisher | : Springer Science & Business Media |
Total Pages | : 457 |
Release | : 2008-06-19 |
Genre | : Science |
ISBN | : 1402086806 |
1. Background This textbook is an introduction to and exploration of a number of core topics in the ?eld of applied mechanics. Mechanics, in both its theoretical and applied contexts, is, like all scienti?c endeavors, a human construct. It re?ects the personalities, thoughts, errors, and successes of its creators. We therefore provide some personal information about each of these individuals when their names arise for the ?rst time in this book. This should enable the reader to piece together a cultural-historical picture of the ?eld s origins and development. This does not mean that we are writing history. Nevertheless, some remarks putting individuals and ideas in context are necessary in order to make clear what we are speaking about – and what we are not speaking about. At the end of the 19th century, technical universities were established eve- where in Europe in an almost euphoric manner. But the practice of technical mechanics itself, as one of the basics of technical development, was in a desolate state, due largely to the refusal of its practitioners to recognize the in?uence of kinetics on motion. They were correct to the extend that then current mechanical systems moved with small velocities where kinetics does not play a signi?cant role. But they had failed to keep up with developments in the science underlying their craft and were unable to keep pace with the speeds of such systems as the steam engine.
Author | : Witold Nowacki |
Publisher | : |
Total Pages | : 406 |
Release | : 1963 |
Genre | : Elastic plates and shells |
ISBN | : |
Author | : Jan Awrejcewicz |
Publisher | : Springer Science & Business Media |
Total Pages | : 351 |
Release | : 2013-03-14 |
Genre | : Technology & Engineering |
ISBN | : 3662089920 |
This monograph is devoted to recent advances in nonlinear dynamics of continuous elastic systems. A major part of the book is dedicated to the analysis of non-homogeneous continua, e.g. plates and shells characterized by sudden changes in their thickness, possessing holes in their bodies or/and edges, made from different materials with diverse dynamical characteristics and complicated boundary conditions. New theoretical and numerical approaches for analyzing the dynamics of such continua are presented, such as the method of added masses and the method of proper orthogonal decomposition. The presented hybrid approach leads to results that cannot be obtained by other standard theories in the field. The demonstrated methods are illustrated by numerous examples of application.
Author | : J. D. Kaplunov |
Publisher | : Academic Press |
Total Pages | : 241 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 0123975905 |
This text is a study of the asymptotic approximations of the 3-D dynamical equations of elasticity in the case of thin elastic shells of an arbitrary shape.
Author | : Ahmed A. Shabana |
Publisher | : Cambridge University Press |
Total Pages | : 397 |
Release | : 2013-09-02 |
Genre | : Science |
ISBN | : 1107435889 |
This enhanced fourth edition of Dynamics of Multibody Systems includes an additional chapter that provides explanations of some of the fundamental issues addressed in the book, as well as new detailed derivations of some important problems. Many common mechanisms such as automobiles, space structures, robots and micromachines have mechanical and structural systems that consist of interconnected rigid and deformable components. The dynamics of these large-scale multibody systems are highly nonlinear, presenting complex problems that in most cases can only be solved with computer-based techniques. The book begins with a review of the basic ideas of kinematics and the dynamics of rigid and deformable bodies before moving on to more advanced topics and computer implementation. The book's wealth of examples and practical applications will be useful to graduate students, researchers and practising engineers working on a wide variety of flexible multibody systems.
Author | : Robert A. Guyer |
Publisher | : John Wiley & Sons |
Total Pages | : 410 |
Release | : 2009-09-28 |
Genre | : Science |
ISBN | : 3527407030 |
This handbook brings together a great deal of new data on the static and dynamic elastic properties of granular and other composite material. The authors are at the very center of today's research and present new and imported theoretical tools that have enabled our current understanding of the complex behavior of rocks. There are three central themes running throughout the presentation: · Rocks as the prototypical material for defining a class of materials · The PM space model as a useful theoretical construct for developing a phenomenology · A sequence of refined analysis methods. This suite of new methods for both recording and analyzing data is more than a single framework for interpretation, it is also a toolbox for the experimenter. A comprehensive and systematic book of utmost interest to anybody involved in non-destructive testing, civil engineering, and geophysics.
Author | : Zhihui Zhou |
Publisher | : Elsevier |
Total Pages | : 287 |
Release | : 2021-06-08 |
Genre | : Technology & Engineering |
ISBN | : 0128237058 |
Dynamics of Structural Dynamics explains foundational concepts and principles surrounding the theory of vibrations and gives equations of motion for complex systems. The book presents classical vibration theory in a clear and systematic way, detailing original work on vehicle-bridge interactions and wind effects on bridges. Chapters give an overview of structural vibrations, including how to formulate equations of motion, vibration analysis of a single-degree-of-freedom system, a multi-degree-of-freedom system, and a continuous system, the approximate calculation of natural frequencies and modal shapes, and step-by-step integration methods. Each chapter includes extensive practical examples and problems. This volume presents the foundational knowledge engineers need to understand and work with structural vibrations, also including the latest contributions of a globally leading research group on vehicle-bridge interactions and wind effects on bridges. - Explains the foundational concepts needed to understand structural vibrations in high-speed railways - Gives the latest research from a leading group working on vehicle-bridge interactions and wind effects on bridges - Lays out routine procedures for generating dynamic property matrices in MATLAB© - Presents a novel principle and rule to help researchers model time-varying systems - Offers an efficient solution for readers looking to understand basic concepts and methods in vibration analysis
Author | : Igor A. Karnovsky |
Publisher | : Springer Nature |
Total Pages | : 824 |
Release | : 2021-03-16 |
Genre | : Technology & Engineering |
ISBN | : 3030443949 |
This revised and significantly expanded edition contains a rigorous examination of key concepts, new chapters and discussions within existing chapters, and added reference materials in the appendix, while retaining its classroom-tested approach to helping readers navigate through the deep ideas, vast collection of the fundamental methods of structural analysis. The authors show how to undertake the numerous analytical methods used in structural analysis by focusing on the principal concepts, detailed procedures and results, as well as taking into account the advantages and disadvantages of each method and sphere of their effective application. The end result is a guide to mastering the many intricacies of the range of methods of structural analysis. The book differentiates itself by focusing on extended analysis of beams, plane and spatial trusses, frames, arches, cables and combined structures; extensive application of influence lines for analysis of structures; simple and effective procedures for computation of deflections; introduction to plastic analysis, stability, and free and forced vibration analysis, as well as some special topics. Ten years ago, Professor Igor A. Karnovsky and Olga Lebed crafted a must-read book. Now fully updated, expanded, and titled Advanced Methods of Structural Analysis (Strength, Stability, Vibration), the book is ideal for instructors, civil and structural engineers, as well as researches and graduate and post graduate students with an interest in perfecting structural analysis.
Author | : Bingen Yang |
Publisher | : Elsevier |
Total Pages | : 961 |
Release | : 2005-04-07 |
Genre | : Technology & Engineering |
ISBN | : 0080541879 |
Stress, Strain, and Structural Dynamics is a comprehensive and definitive reference to statics and dynamics of solids and structures, including mechanics of materials, structural mechanics, elasticity, rigid-body dynamics, vibrations, structural dynamics, and structural controls. This text integrates the development of fundamental theories, formulas and mathematical models with user-friendly interactive computer programs, written in the powerful and popular MATLAB. This unique merger of technical referencing and interactive computing allows instant solution of a variety of engineering problems, and in-depth exploration of the physics of deformation, stress and motion by analysis, simulation, graphics, and animation. This book is ideal for both professionals and students dealing with aerospace, mechanical, and civil engineering, as well as naval architecture, biomechanics, robotics, and mechtronics. For engineers and specialists, the book is a valuable resource and handy design tool in research and development. For engineering students at both undergraduate and graduate levels, the book serves as a useful study guide and powerful learning aid in many courses. And for instructors, the book offers an easy and efficient approach to curriculum development and teaching innovation. - Combines knowledge of solid mechanics--including both statics and dynamics, with relevant mathematical physics and offers a viable solution scheme. - Will help the reader better integrate and understand the physical principles of classical mechanics, the applied mathematics of solid mechanics, and computer methods. - The Matlab programs will allow professional engineers to develop a wider range of complex engineering analytical problems, using closed-solution methods to test against numerical and other open-ended methods. - Allows for solution of higher order problems at earlier engineering level than traditional textbook approaches.