Abstract
The integro-partial-differential equation that governs the dynamical behavior of homogeneous viscoelastic beams was established. The material of the beams obeys the Leaderman nonlinear constitutive relation. In the case of two simply supported ends, the mathematical model is simplified into an integro-differential equation after a 2nd-order truncation by the Galerkin method. Then the equation is further reduced to an ordinary differential equation which is convenient to carry out numerical experiments. Finally, the dynamical behavior of 1 st-order and 2 nd-order truncation are numerically compared.
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Paper from Cheng Chang-jun, member of Editorial Committee, AMM
Foundation item: the National Natural Science Foundation of China (19727027); China Postdoctoral Science Foundation; Shanghai Municipal Development Foundation of Science and Technology (98JC14032, 98SHB1417)
Biographies: Chen Li-qun (1963-); Cheng Chang-jun (1937-)
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Li-qun, C., Chang-jun, C. Dynamical behavior of nonlinear viscoelastic beams. Appl Math Mech 21, 995–1001 (2000). https://doi.org/10.1007/BF02459308
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DOI: https://doi.org/10.1007/BF02459308