Stribeck摩擦条件下齿轮二维冲击接触有限元求解

摘要

A mixed finite element algorithm for dynamics contact/impact problem was proposed,based on which program package dealing with gear transient contact/impact process was devised.A two dimensional single-tooth impact model with Stribeck friction model was studied by the designed program.The variation regularities of the nodal normal contact force,friction force and the resultant force as well as impact time under different initial impact velocities were investigated.Meanwhile,the results under Stribeck friction condition were compared with those from Coulomb friction case.The preliminary validation was performed through comparison of the resultant normal contact force by virtue of ABAQUS in Coulomb situation.The contrast proves the validity of the developed program.%借助冲击/动力接触问题有限元混合法,利用Fortran语言编制了齿轮接触冲击求解程序包,对二维直齿轮冲击模型在Stribeck摩擦下的接触冲击进行了研究,探讨了不同初始冲击速度下接触点法向冲击力、摩擦力、法向冲击合力、摩擦合力和冲击时间的变化规律,同时与Coulomb摩擦下的求解结果作对比分析。通过对照Coulomb摩擦下ABAQUS与自制程序包计算所得法向冲击合力曲线进行验证,结果表明自制有限元程序是正确的。