Stability and Chaotic Motion in Columns of Nonlinear Viscoelastic Material
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摘要: 研究了受轴向周期力作用的各向同性简支柱的动力学稳定性。假定粘弹性材料满足Lea-derman非线性本构关系。导出运动方程为非线性偏微分-积分方程,并利用Galerkin方法简化为非线性微分-积分方程。应用平均法进行了稳定性分析,并用数值结果进行验证。数值结果还表明系统可能存在混沌运动。
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关键词:
- 稳定性 /
- 混沌 /
- 平均法 /
- Galerkin方法 /
- 粘弹性柱
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 ralation.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.-
Key words:
- stability /
- chaos /
- averaging method /
- Galerkin method /
- viscoelastic column
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