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Direct method for the steady state response of structures

Author(s)
Leung, Andrew Yee Tak  
Date Issued
1988
Publisher
Elsevier
Journal
Journal of Sound and Vibration
Volume
124
Issue
1
Start page
135
End page
139
Abstract
A new method for finding the steady state response of structures is presented. It is an alternative to the Ritz and Lanczos vectors methods for a wide class of excitations and the exact steady state response can be obtained in a finite number of matrix operations. The Duhamel integral and natural modes are completely eliminated. A simple subroutine is written for all possible combinations of polynomial, exponential and sinusoidal excitations. Piecewise continuous excitations are also studied. Heavy damping can be analyzed without modifications. The method is very suitable for microcomputers.
URI
https://repository.sfu.edu.hk/handle/sfu/3283
DOI
10.1016/S0022-460X(88)81409-3
SFU Affiliated Publication
No
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