Convolution Semi-analytical Differential Quadrature Method for Structural Dynamic Response

doi:10.3969/j.issn.1001-246X.2009.03.011

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2009, Vol. 26 ›› Issue (3): 409-414.DOI: 10.3969/j.issn.1001-246X.2009.03.011

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Convolution Semi-analytical Differential Quadrature Method for Structural Dynamic Response

PENG Jianshe¹, LIU Yan¹, YANG Jie²

1. School of Physics and Electronic Information, China West Normal University, Nanchong 637002, China;
2. School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, P. O. Box 71, Bundoora, VIC 3083 Australia

Received:2007-09-27 Revised:2008-04-21 Online:2009-05-25 Published:2009-05-25

Abstract

Abstract: A convolution type semi-analytical approach is proposed for structural dynamic response.With convolution original governing equation is transformed into a complete initial-value problem with initial conditions.The equation is mathematically equivalent to Gutrin's variational principle while it involves no functional and complicated calculation in variational principle.The new governing equation is solved by differential quadrature method in space domain and analytical series in time domain to obtain dynamic response.Dynamic response of a beam is studied.It is shown that the proposed method is accurate and efficient.

Key words: convolution, dynamic response, differential quadrature method, semi-analytical method, governing equation

CLC Number:

O302

PENG Jianshe, LIU Yan, YANG Jie. Convolution Semi-analytical Differential Quadrature Method for Structural Dynamic Response[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 26(3): 409-414.

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Convolution Semi-analytical Differential Quadrature Method for Structural Dynamic Response

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