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| DIFFERENTIAL QUADRATURE METHOD FOR NONLINEAR DYNAMICAL BEHAVIOR OF VISCOELASTIC TIMOSHENKO BEAM. |
LI Jing-Jing; Hu Yu Jia; Cheng Chang-jun; Zheng Jian
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| Shanghai Institute of Applied Mathematics and Mechanics, and College of Science, Shanghai University, Shanghai 200072, China |
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Abstract By the extended differential quadrature method , the motion equations governing the dynamical behavior of visco-elastic beam with finite deformations are discretized, and the nonlinear governing equations can be converted into an explicit matrix form in spatial domain. The dynamic behaviors of visco-elastic beam are numerically analyzed by introducing new variables in time domain. The classical methods in nonlinear dynamics are applied to reveal dynamical phenomena of visco-elastic beam. The convergence and comparison of solutions are studied. The results show that the DQ method presented in this paper is very reliable and valid. At the same time, the influences of geometric and material parameters on dynamic behaviors are investigated.
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Received: 04 June 2008
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2010, Vol. 29 
