应用数学和力学2001，Vol.22Issue(3)：250-258,9.
具有分数导数型本构关系的粘
弹性柱的动力稳定性
Dynamical Stability of Viscoelastic Column With Fractional Derivative Constitutive Relation
摘要
Abstract
The dynamic stability of simple supported viscoelastic column, subjected to a periodic axial force, is investigated. The viscoelastic material was assumed to obey the fractional derivative constitutive relation. The governing equation of motion was derived as a weakly singular Volterra integro-partial-differential equation, and it was simplified into a weakly singular Volterra integro-ordinary-differential equation by the Galerkin method. In terms of the averaging method, the dynamical stability was analyzed. A new numerical method is proposed to avoid storing all history data. Numerical examples are presented and the numerical results agree with the analytical ones.关键词
粘弹性柱/分数导数型本构关系/平均化方法/弱奇异性Volterra积分_
微分方程/动力稳定性分类
数理科学引用本文复制引用
李根国,朱正佑,程昌钧..具有分数导数型本构关系的粘
弹性柱的动力稳定性[J].应用数学和力学,2001,22(3):250-258,9.
