摘要
基于经典弹性理论,利用欧拉方程组推导了橡胶筒承受径向载荷时的平面问题位移解析解,推导过程中未采用体积不可压缩假设,考虑了泊松比的影响,得到平面问题径向刚度。利用变型贝塞尔函数导出了有限长橡胶筒端面解除约束后径向位移的改变量,叠加平面应变时的径向位移得到有限长橡胶筒径向刚度的精确解。结果表明泊松比在0.48-0.5的范围内取值不同对平面应变时的径向刚度影响非常大。有限长橡胶筒径向刚度精确解与试验数据是一致的。
Based on the theory of elasticity, an analytic expression is derived for the displacement of a cylindrical rubber bush mountings subjected to radial loading using Euler equations. The assumption of incompressibility is not adopted to evaluate the influence of Poisson＇s ratio. And the radial stiffness for plane problem is deduced. The displacement＇s increment after releasing the restrictions of both ends is derived using modified Bessel functions, and then, the exact radial stiffness of the bush with finite lengths is obtained according to superposition of displacements. It is shown that the influence of Poisson＇s ratio on the radial stiffness is great when it is from 0.48 to 0.5. The calculated radial stiffness is consistent with that from the available experimental data.
出处
《工程力学》
EI
CSCD
北大核心
2009年第4期202-206,共5页
Engineering Mechanics
基金
国家部委基金项目(10105010202)
关键词
橡胶简
径向刚度
三维弹性理论
解析解
位移法
欧拉方程组
贝塞尔函数
rubber bush mountings
radial stiffness
3D elastic theory
analytic solution
displacement methods
Euler equations
Bessel function
