基于平面应变假设的橡胶圆筒静态受压分析  

Static Compression Analysis of Rubber Hollow Cylinder Based on Plane Strain Assumption

作　　者：仲健林 马大为[1] 任杰[1] 李士军[2] 王旭[3] 

机构地区：[1]南京理工大学机械工程学院,南京210094 [2]中国船舶重工集团公司713研究所,郑州450015 [3]北京航天发射技术研究所,北京100094

出　　处：《上海交通大学学报》2015年第9期1276-1280,共5页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金(51303081);江苏省自然科学基金(BK20130761);江苏省普通高校学术学位研究生科研创新计划(KYLX_0398)资助项目

摘　　要：研究了减振元件中橡胶圆筒的静态受压机制.基于轴对称平面应变假设,给出了橡胶圆筒的几何描述,并结合3次缩减多项式本构模型推导了橡胶圆筒应力解析式.建立了相应边界条件下橡胶圆筒数值模型,仿真获得其应力响应后与解析式计算结果进行了对比验证.分析了压缩量改变对橡胶圆筒应力的影响规律.结果表明:随压缩量增大,径向应力和切向应力增大且增幅基本不变;边界层应力与压缩量近似成正比例关系,压缩量<1%时,内外表面切向应力相差很小.The compression mechanism of rubber hollow cylinder in damping elements was studied. First, based on the axisymmetric plane strain assumption, the geometric description of rubber hollow cylinder was conducted. Next, combined with the incompressible polynomial constitutive model, the analytical for mula of stress for the rubber hollow cylinder was obtained. After that, the numerical model of rubber hol low cylinder in corresponding boundary condition was buih, and the stress response obtained by simulation was compared to the results calculated by the analytical formula. Finally, the influence of the change of compression on the stress of rubber hollow cylinder was analyzed. The analysis shows that with the increase of compression, the radial stress and tangential stress increases, the increment stays the same, the stress of the boundary layer is proportional to the amount of compression, when the amount of compression is less than 1 %, and the difference in tangential stress of the inner and outer surface is small.

关 键 词：减振元件 橡胶圆筒 受压机制 本构模型 数值模型 

分 类 号：TH123[机械工程—机械设计及理论]