A Symplectic Method for Dynamic Response of Structures

Publisher: Trans Tech Publications

E-ISSN: 1662-7482|2015|724|7-11

ISSN: 1660-9336

Source: Applied Mechanics and Materials, Vol.2015, Iss.724, 2015-03, pp. : 7-11

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Abstract

A modified Hamilton’s principle corresponding to initial value problems of dynamics is presented. Based on this principle and combined with Lagrange interpolation method, a symplectic method is constructed. The evaluations of the stability and accuracy of the proposed method are also given in this paper. With some numerical examples introduced, the proposed method is performing well and is a powerful tool for practical dynamic analyses.