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Appl. Sci. 2017, 7(5), 471; doi:10.3390/app7050471

An Improved Differential Quadrature Time Element Method

1
Institute of Solid Mechanics, Beihang University, No. 37, Xueyuan Road, Haidian District, Beijing 100191, China
2
Science and Technology on Reliability and Environment Engineering Laboratory, Beijng Institute of Structure and Environment Engineering, No. 1, Dahongmen Road, Fengtai District, Beijing 100076, China
*
Author to whom correspondence should be addressed.
Academic Editor: Francesco Tornabene
Received: 10 March 2017 / Revised: 26 April 2017 / Accepted: 26 April 2017 / Published: 3 May 2017
View Full-Text   |   Download PDF [804 KB, uploaded 3 May 2017]   |  

Abstract

A Differential Quadrature Time Element Method (DQTEM) was proposed by the author and co-worker, its drawback is the need of larger storage capacity since the dimension of the coefficients matrix for solution is the product of both spatial degrees of freedom and temporal degrees of freedom. To solve this problem, an improved DQTEM is developed in this work, in which the differential quadrature method is used to discretize both spatial and time domains, sequentially, and the dimension of the coefficients matrix is greatly reduced without losing solution accuracy. Theoretical studies demonstrate the improved DQTEM features superiorities including higher-order accuracy, adequate stability and symplectic characteristics. The improvement of DQTEM is validated by extensive comparisons of the present DQTEM with the original DQTEM. View Full-Text
Keywords: differential quadrature rule; direct integration method; time element; symplectic differential quadrature rule; direct integration method; time element; symplectic
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Qin, M.; Xing, Y.; Guo, J. An Improved Differential Quadrature Time Element Method. Appl. Sci. 2017, 7, 471.

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