加速旋转变厚度锥壳和圆盘中的应力

通过求解球坐系中的弹性力学平衡方程，得到线性变厚度锥壳和圆盘在角加速旋转中位移和应力的封闭形式解，从而发现锥壳式圆盘中的剪应力只与几何尺寸、材料密度和角加速度有关，而与材料的弹性常数无关，文末的数字结果表明，变厚度圆盘的变形和应力与等厚度圆盘相比有较大的不同。

Stresses in an Accelerating Conical Shelland Circular Disk of Variable Thickness

The closed-form displacement and stress solutions for a rotating conical shell and circular disk oflinearly variable thickness with an angular acceleration are obtained from the elasticity governing e-quations in the spherical coordinates. It is found that the shearing stress due to angular acceleration de-pends on the geometry and mass density of the shell or disk as well as the magnitude of the angular ac-celeration and is independent of the elastic constants of the shell or disk. The numerical results showthat the deformation and stress in the disk of variable thickness are different from ones in the disk of u-niform thickness.