海绵/橡胶适配器应力和变形模式的轴对称平面应变解析
收稿日期: 2013-12-24
修回日期: 2014-03-03
网络出版日期: 2014-03-28
基金资助
国家自然科学基金(51303081);江苏省普通高校学术学位研究生科研创新计划(KYLX_0398)
Axisymmetric Plain Strain Analysis of Stress and Deformation Mode for Foam/Rubber Adapter
Received date: 2013-12-24
Revised date: 2014-03-03
Online published: 2014-03-28
Supported by
National Natural Science Foundation of China (51303081); Graduate Student Research and Innovation Program of Jiangsu Province (KYLX_0398)
海绵/橡胶适配器的应力和变形模式的解析方法是其力学理论研究的重要前提.基于轴对称平面应变假设,推导了海绵圆筒和橡胶圆筒的径向应力、切向应力和径向位移的解析公式;建立了位移边界条件下适配器受压问题的非线性常微分解析方程组,并通过数值模型仿真验证了解析公式推导的正确性;调整海绵/橡胶粘合面半径,研究了海绵层厚度比对适配器受压力学特性的影响.结果表明:数值模型和解析公式计算结果基本一致;适配器海绵层径向应力值和切向应力值相差不大,橡胶层切向应力高于径向应力约1个数量级,径向应力最大值位于适配器外表面,切向应力和径向位移最大值均位于海绵/橡胶粘合面;随海绵层厚度比增加,适配器应力和位移减小且减幅越来越小.
仲健林 , 马大为 , 李士军 , 任杰 , 胡建国 . 海绵/橡胶适配器应力和变形模式的轴对称平面应变解析[J]. 航空学报, 2014 , 35(12) : 3324 -3330 . DOI: 10.7527/S1000-6893.2014.0009
The analytical method of stress and deformation mode for foam/rubber adapter is an important premise for mechanical theory research of the adapter. Based on the axisymmetric plain strain assumption, the analytical formulas of the radial stress, tangential stress, and radial displacement for the foam and rubber hollow cylinders are derived. A set of nonlinear ordinary differential analytical equations for the adapter compression problem under displacement boundary conditions are built and the correctness of the analytical formulas is verified by the simulation of the numerical model. The radius of the foam/rubber bonding surface is changed and the influence on the adapter compression characteristic brought by the thickness ratio of the foam layer is researched. The results show that the calculation results of the numerical model and analytical formulas are basically the same; the radial stress and the tangential stress of the adapter foam layer differ little in value; the tangential stress is higher than the radial stress by an order of magnitude in the rubber layer; the maximum radial stress locates on the outer surface of the adapter and the maximum tangential stress and radial displacement locate on the foam/rubber bonding surface; and with the increase of the foam layer thickness ratio, the stress and displacement of the adapter decrease and the decrement decreases.
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