A cubic spline symplectic algorithm for dynamic analysis of space truss structure

LI Wei-hua;WANG Yu;LUO En

Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (15) : 89-94.

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PDF(1154 KB)
Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (15) : 89-94.
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A cubic spline symplectic algorithm for dynamic analysis of space truss structure

  • LI Wei-hua, WANG Yu, LUO En
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Abstract

According to the basic idea of dual-complementarity, the unconventional Hamilton-type variational principle in phase space for dynamics of space truss structure is established, which can fully characterize the initial-boundary-value problem of this dynamics.In addition, the Euler function of this variation principle has symplectic structure character.Based on this vairiational principle, a symplectic algorithm which is the result of combining finite element method in space domain with time subdomain method by applying the cubic spline interpolation as approximation to the time subdomain is conducted. The results of numerical example show that the method is a highly efficient method with better computational performance and superior ability of stability compared to Wilson-θ and Newmark-β methods.

Key words

space truss structure / dynamic response / symplectic algorithm / spline interpolation / variational principle

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LI Wei-hua;WANG Yu;LUO En. A cubic spline symplectic algorithm for dynamic analysis of space truss structure[J]. Journal of Vibration and Shock, 2013, 32(15): 89-94
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