微分求积法处理轴向变速黏弹性梁混杂边界条件

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (5) : 87-91.

论文

微分求积法处理轴向变速黏弹性梁混杂边界条件

王波1; 陈立群 2,3

作者信息 +

Solving hybrid support boundary condition of an axially accelerating viscoelastic beam via Differential Quadrature scheme

Wang Bo 1; Chen Liqun 2,3

Author information +

文章历史 +

摘要

给出了一种利用微分求积法处理非线性轴向变速黏弹性梁的混杂边界条件的方法。利用微分求积法数值求解具有混杂边界轴向变速黏弹性梁的控制微分方程，将混杂边界条件直接引入到控制微分方程高阶导数的微分求积解权系数矩阵中。使用这种方法研究了非线性轴向变速黏弹性梁主参数共振的稳态幅频响应，并对算例的微分求积解和解析近似解做了比较。

Abstract

A methodology that to solve hybrid support boundary condition of nonlinear axially accelerating viscoelastic beam via Differential Quadrature scheme is presented. Differential Quadrature scheme is employed to solve numerically nonlinear governing differential equation of an axially accelerating viscoelastic beam under hybrid support. The procedure how hybrid support boundary condition is built to the Differential Quadrature weighting coefficients matrices themselves is explained. Steady-state response is investigated when the principal parameter resonance of axially accelerating viscoelastic beam occurs. Numerical and analytical solutions are compared in numerical examples.

导出引用

王波;陈立群;. 微分求积法处理轴向变速黏弹性梁混杂边界条件[J]. 振动与冲击, 2012, 31(5): 87-91

Wang Bo;Chen Liqun;. Solving hybrid support boundary condition of an axially accelerating viscoelastic beam via Differential Quadrature scheme[J]. Journal of Vibration and Shock, 2012, 31(5): 87-91