摘要
从一维黏弹性本构方程出发，导出了黏弹性变截面直杆纵向振动微分方程的一般形式，采用了有限差分法，并以二阶矩阵表示的递推形式，建立了该问题的复特征值方程组．两种Ｍａｘｗｅｌｌ弹性变截面（指数函数、线性函数）直杆的数值计算表明，该方法运算简单，计算精度高，能适用于求解任意变截面黏弹性直杆的纵向自由振动问题．
Based on uniaxial viscoelastic constitu- tive law, a general differential equation of motion for free longitudinal vibration of viscoelastic straight rod with varying crosssection and the differential equations of motion for its commonly used model are derived. Then, using finite difference method and the- recurrence formula represented by two-order matrix, the complex eigenequations under various classical boundary conditions are established. The numerical calculations for viscoelastic straight rod with varying cross-section in exponential and linear functions show that this method not only is simpler and enjoys higher accuracy but also can be used to investigate the free longitudinal vibration prob- lem of the viscoelastic straight rod with arbitrarily varying crosssection function.
出处
《力学与实践》
CSCD
北大核心
2001年第5期39-41,共3页
Mechanics in Engineering
基金
陕西省自然科学基金项目(99SL07)资助
