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RESEARCH PAPERS

Mode Superposition Analysis of Viscously Damped Nonlinear Structural Systems Using an Incremental Algorithm

[+] Author and Article Information
Yang-Tai Lin, Te-Chang Sun

Department of Mechanical Engineering, National Taiwan Institute of Technology, 43, Keefung Road, Sec. 4, Taipei, Taiwan, 10772, Rep. of China

J. Vib. Acoust 115(4), 397-402 (Oct 01, 1993) (6 pages) doi:10.1115/1.2930363 History: Received February 01, 1992; Online June 17, 2008

Abstract

A mode superposition method for approximately solving the dynamic response of viscously damped nonlinear structural systems is presented, which is characterized by high accuracy and low computational cost. The method is based on an incremental decomposition procedure to formulate the motion of the discrete system, which is established by finite element theory for spatial dependence and both geometric and material nonlinearities are considered. The accuracy and efficiency are studied through two practical problems. By comparing the results using the present method with those using the direct time integration, it is found that the error is negligible and the computational effort can be significantly reduced.

Copyright © 1993 by The American Society of Mechanical Engineers
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