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Indexed by:会议论文

Date of Publication:2010-01-01

Included Journals:CPCI-S

Volume:1233

Page Number:863-868

Key Words:Variable Principle; Symplectic Method; Mix Variables; Hamilton System; Dual

Abstract:In this paper, the generalized displacements and momentum are approximated by Lagrange polynomial and the displacements at the two ends of time interval are taken as the independent variables, then the discrete Hamilton canonical equations and the corresponding symplectic method are derived based on the dual variable principle. A fixed point iteration formula can be derived when the order of the approximate polynomials of displacements and momentum satisfy some certain conditions. In the numerical examples part, the smallest number of Gauss integration point required for different order of the approximate polynomials of displacements and momentum is discussed, and also the numerical precision of the proposed symplectic method for different orders of the approximate polynomials of displacements and momentum and numbers of Gauss integration point is discussed. The fixed point iteration formula is the optimal one.