叠加原理
情态动词
自由度(物理和化学)
线性系统
模态分析
振动
系列(地层学)
结构体系
航程(航空)
计算机科学
数学
数学分析
控制理论(社会学)
工程类
物理
结构工程
声学
地质学
人工智能
航空航天工程
古生物学
化学
量子力学
高分子化学
控制(管理)
作者
Anestis S. Veletsos,Carlos E. Ventura
标识
DOI:10.1002/eqe.4290140205
摘要
Abstract A critical, textbook‐like review of the generalized modal superposition method of evaluating the dynamic response of nonclassically damped linear systems is presented, which it is hoped will increase the attractiveness of the method to structural engineers and its application in structural engineering practice and research. Special attention is given to identifying the physical significance of the various elements of the solution and to simplifying its implementation. It is shown that the displacements of a non‐classically damped n ‐degree‐of‐freedom system may be expressed as a linear combination of the displacements and velocities of n similarly excited single‐degree‐of‐freedom systems, and that once the natural frequencies of vibration of the system have been determined, its response to an arbitrary excitation may be computed with only minimal computational effort beyond that required for the analysis of a classically damped system of the same size. The concepts involved are illustrated by a series of examples, and comprehensive numerical data for a three‐degree‐of‐freedom system are presented which elucidate the effects of several important parameters. The exact solutions for the system are also compared over a wide range of conditions with those computed approximately considering the system to be classically damped, and the interrelationship of two sets of solutions is discussed.
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