计算斜齿轮弯曲应力的应力影响矩阵法

提出了计算齿轮弯曲应力分布过程的应力影响矩阵法。通过建立齿面柔度矩阵和齿根弯曲应力矩阵, 该方法只需经过一次有限元计算便可获得斜齿轮在整个啮合过程中轮齿弯曲应力三维分布的变化规律。通过对计算结果和斜齿轮弯曲应力测量结果进行比较, 证明本文提出的计算方法不仅具有较高的精度, 而且极大地节省了计算机内存和计算时间。

A STRESS INFLUENCING MATRIX METHOD FOR CALCULATING BENDING ROOT STRESSES OF HELICAL GEARS

A method of the stress influencing matrix is proposed for calculating bending stress courses on teeth root of the helical gears.The stress influencing matrix of mesh nodes on the surface of the gear teeth and on nodes of its contact lines is established by using 2-D interpolation and then is multiplied by the load distributing matrix on the nodes.Therefore,the bending stress courses on the gear teeth root are obtained.By means of generating the flexibility matrix on the gear teeth root the finite element calculation of this method is only needed once to obtain the distributing conditions of loads on the working surface of the gear teeth and distributing conditions of the bending stresses on root surface of the gear teeth for whole meshing period.The calculated results are compared with the experimental data.It is proved that the method of the stress influencing matrix is as accurate as the finite element method,but can save computer memory and calculating time to a great extent.