摘要
本文探讨了用双重非线性有限元手段,求解橡胶弹簧的非线性刚度。橡胶的本构关系采用了广义虎克定律和基于应变能的超弹性材料的本构关系联合使用的方案,用单元内的静水压力p,来修正广义虎克定律的弹性常数E和G。还提出了带刚性域的超单元和波前凝聚法两种新的办法,获得橡胶弹簧的刚度,使内存用量和CPU时间大幅度下降,因而几何、物理双重非线性橡胶弹簧的计算,能在微机上实现。文内选用英国DUNLOP橡胶公司橡胶元件产品目录中一个开孔多层橡胶弹簧为算例,剪切刚度计算曲线与产品目录附图的曲线吻合甚好。
In this paper, the coefficients of the nonlinear stiffness of rubber springs have been determined by a FEM approach considering both the geometrical and physical nonlinearilies. Besides, a compromising suggestion for the constitutive relation of rubber spring basing upon the combination of the general Hook's law and Mooncy's constitutive relation of supcrclastic material, in which the hydrostatic pressure p is used to modify the elastic moduli G and E, is also given in this paper. Also, it introduces two new methods as to introduce supcrclemcnts with rigid zones and the use of the frontal condensation method to establish the stiffness matrix of the whole rubber body together with the upper and the lower rigid zones such that the process of storage would be faster and the CPU time may be reduced significantly. A numerical example is given in which the computational result of the shear stiffness in two directions are very close to those in the catalogue of rubber parts of DUNLOP Ltd.
出处
《上海力学》
CSCD
1994年第4期33-41,共9页
Chinese Quarterly Mechanics
基金
国家自然科学基金
关键词
非线性
橡胶弹簧
超弹性材料
有限元
Nonlinear FEM, rubber spring, superclaslicily, frontal condensation method.
