显式积分技术求解橡胶元件大变形问题的研究及应用

Research and Application of Explicit Integration Technique Used for Solving Large-strain Problem of Rubber Component

利用隐式积分技术求解橡胶元件非线性刚度问题时,因大变形造成网格过度畸变或体积自锁从而导致程序收敛失败。以分析某款橡胶弹簧垂向准静态刚度为目标,探讨利用显式积分技术求解橡胶产品的准静态刚度基本原理,提出在确保计算质量前提下加快分析效率的基本措施。分析与试验结果表明:橡胶为应变率相关材料,不能通过改变加载速率来提高计算速率,而应使加载速率维持正常状态,并通过选取适当的质量缩放因子和采用材料的黏性阻尼来获取计算效率;金属的最小稳定时间远小于橡胶,为提高模型的稳定时间增量,可将金属定义为刚体;显式积分技术可得到橡胶弹簧良好的准静态结果,但橡胶被高度约束时,体积变形的局限性会导致分析结果具有一定的误差。这些结论为分析类似橡胶弹簧提供了一种思路和评估方法。

when implicit integration technique is used for solving nonlinear stiffness problems of rubber component,excessive s mesh distortion or volume self-locking due to large strain can result in the failure of convergence.By taking vertical static stiffness of certain type of rubber spring as a goal,the implicit integration technique is used for solving the quasi-static stiffness of rubber product so that the analysis efficiency can be quickened on the precondition of insuring calculation precision.It is indicated by the analysis and experiments that as rubber is a strain rate-rated ma,the calculation speed can not be quickened by changing the loading rate.Instead,the loading rate shall maintain normal and the calculation efficiency can be gained by adopting appropriate mass scaling factor and the damping factor of ma.The minimum stable time of metal is far less than that of rubber,therefore,in order to improve stable time increment of model,metal can be defined as rigid body.By adopting the explicit integration technique,good quasi-static results of rubber springs can be gained.However,if the rubber is highly constrained,certain error on analysis results can be caused due to volume deformation.All conclusions provided hereinabove give a concept and an evaluation method for rubber springs.