在极坐标系下求平衡微分方程解的方法研究

The study on the methods of obtaining the solution of the derivation of the equilibrium equations under polar coordinate system

利用极坐标系与直角坐标系间的数学变换式,应力分量间的坐标变换式与直接求解平衡微分方程都可以求得弹性力学中平衡微分方程的解,文中讨论了3种方法的优缺点.

Applying the mathematical transform between polar coordinates system and rectangular coordinates system,the coordinal transform among the stresses and directly seeking the solution of the derivation of the equilibrium equations,we can obtain the solution of the derivation of the equilibrium equations. This essay reveals the advantages and disadvantages of those three methods.