Abstract
The dynamical stability of a homogeneous, simple supported column, subjected to a periodic axial force, is investigated. The viscoelastic material is assumed to obey the Leaderman nonlinear constitutive relation. The equation of motion was derived as a nonlinear integro-partial-differential equation, and was simplified into a nonlinear integro-differential equation by the Galerkin method. The averaging method was employed to carry out the stability analysis. Numerical results are presented to compare with the analytical ones. Numerical results also indicate that chaotic motion appears.
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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. Stability and chaotic motion in columns of nonlinear viscoelastic material. Appl Math Mech 21, 987–994 (2000). https://doi.org/10.1007/BF02459307
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DOI: https://doi.org/10.1007/BF02459307