Mechanics: Dynamical Systems Ser.: Computational Methods in Structural Dynamics

Description: Contains mild wear consistent with age and use, mostly seen on dustjacket. “The last several decades have witnessed impressive progress in structural dynamics. This progress can be attributed to a happy confluence of new methods of analysis, such as the finite element method and substructure synthesis, and the digital computer. The newly developed methods of analysis permit the structural analyst to formulate increasingly complex problems and the computer enables him to obtain numerical results to these problems. As a result, the emphasis in the field of structural dynamics has been shifting steadily toward computational methods. But, a good understanding of the techniques for deriving the equations of motion for complex structures and of the computational algorithms for solving these equations demands an increasing mathematical sophistica- tion on the part of the structural dynamicist. This book presents the latest developments in structural dynamics and it also provides the mathemati- cal background necessary for the understanding of the various modelling techniques and computational algorithms. The book is intended as a text for a one-year graduate course in structural dynamics as well as a reference book for structural dynamicists. It assumes some prior know- ledge of the field of vibrations, such as that normally acquired in an elementary course in mechanical and structural vibrations. An important aspect of structural dynamics is mathematical model- ling. Mathematical models can be classified according to the spatial distribution of the parameters describing the system properties. There are two major classes, namely, discrete and distributed-parameter models. Less often one encounters hybrid systems, i.e., systems that are part discrete and part distributed. Discrete systems are commonly described by ordinary differential equations and distributed systems by partial differential equations. Most dynamical systems are actually distributed and, except for some simple classical examples, exact solutions for the response are difficult, if not impossible to produce. This points to approxi- mate solutions as an alternative, which almost invariably amounts to the representation of the distributed model by a discrete one in a process…”

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Location: Centreville, Virginia

End Time: 2024-10-16T22:45:12.000Z

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