Quadrature element analysis on dynamic characteristics and transient responses of Timoshenko composite beams

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (18) : 257-265.

LI Xiaowei1, HE Guanghui2

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Abstract

Aiming at improving the efficiency of finite element method (FEM) in the dynamic characteristics and transient responses analyses of partial-interaction composite beams, firstly, the primary unknowns and their derivatives of the composite beams were discretized by the differential quadrature method, and the differential quadrature element equations were formulated, using the principle of virtual work on the Timoshenko composite beams’ dynamic problem.For comparing the analysis efficiency between the proposed quadrature element method (QEM) and FEM, parabolic interpolation finite element equations were also provided.Then, the computational efficiency of FEM and QEM were compared through the eigenvalue analysis on free vibration and the direct integration analysis on seismic time-history, after the verification of the proposed FEM and QEM algorithms.The numerical results show that comparing with the FEM, the efficiency of the natural frequency analysis is increased by 479 times by using the presented QEM and that for the time-history response prediction by 42 times.

Key words

Timoshenko composite beams / differential quadrature element / finite element / dynamic analysis / CPU time

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LI Xiaowei1, HE Guanghui2. Quadrature element analysis on dynamic characteristics and transient responses of Timoshenko composite beams[J]. Journal of Vibration and Shock, 2018, 37(18): 257-265

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