摘要
研究了轴向运动粘弹性矩形薄板的动力特性和稳定性问题.从二维粘弹性微分型本构关系出发,建立了轴向运动粘弹性板的运动微分方程.采用微分求积法,对四边简支、一对边简支一对边固支两种边界条件下粘弹性板的无量纲复频率进行了数值计算.分析了薄板的长宽比、无量纲运动速度及材料的无量纲延滞时间对其横向振动及稳定性的影响.
The dynamic characteristics and stability of axially moving viscoelastic tectangulr thin plate are investigated. Based on the two dimensional viscoelastic differential constitutive relation, the differential equations of motion of the axially moving viscoelastic plate were established. Dimensionless complex frequencies of an axially moving viscoelastic plate with four edges simply supported, two opposite edges simply supported and other two edges clamped were calculated by the differential quadrature method. The effects of the aspect ratio, moving speed and dimensionless delay time of the material on the transverse vibration.and stability of the axially moving viscoelastic plate were analyzed.
出处
《应用数学和力学》
CSCD
北大核心
2007年第2期191-199,共9页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(50575180)
关键词
轴向运动粘弹性板
横向振动
微分求积法
axially moving viscoelastic plate
transverse vibration
differential quadrature method
