Pole-Residue Method for Numerical Dynamic Analysis
Publication: Journal of Engineering Mechanics
Volume 142, Issue 8
Abstract
Systems of second-order linear ordinary differential equations (ODEs) to arbitrary input functions appear in many fields of physics and engineering. Numerical methods for solving these kinds of problems have been mainly performed in the time and frequency domains. In contrast, this paper develops an efficient, seminumerical pole-residue method implemented in the Laplace domain. In this article, a key concept and development is on how to compute the poles and residues of the output from those of the input and system transfer functions. Once the poles and residues of the output are known, the corresponding time history of the output is readily obtained. Even though the correctness of the new method has been verified by using a step-by-step time-domain solution, the accuracy of the new method in theory is higher than that of any time-domain approach, partially because the output obtained from the new method is a continuous function of time.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 142 • Issue 8 • August 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Jun 21, 2015
Accepted: Jan 19, 2016
Published online: Mar 29, 2016
Published in print: Aug 1, 2016
Discussion open until: Aug 29, 2016
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