摘要
建立了描述均匀粘弹性梁动力学行为的偏微分—积分方程,梁的材料满足Leaderman非线性本构关系,对于两端简支的情形用Galerkin方法进行了截断简化为常微分—积分方程,对于特定材料进一步简化为常微分方程。
The integro-partial-differential equation that governs the dynamical behavior of homogeneous vis-coelastic beams is established. The material of the beams obeys the Leaderman nonlinear constitutive relation. In the case of two simple supported ends, the Galerkin method is applied to simplify the equation to a integro-differ-ential equation. For a class of certain material, the equation is further simplified to a differantial equation.
基金
国家自然科学基金(1972702)
中国博士后科学基金
上海市科技发展基金(98SHB1417和98JC14032)
关键词
粘弹性梁
非线性
微分积分方程
动力学模型
viscoelastic beam, differential equation of motion, Leaderman relation, Galerkin method
