摘要
从极坐标下应力分量是r、θ的连续函数出发,假设某一应力分量是某一函数对r或对θ的偏导数,找到了直接推导极坐标下不计体力时平衡微分方程通解的途径,给出了两种推导方法,均比惯常的方法简捷直观,从而证明了直接推导应力函数是可行的.
A stress component is supposed to be a partial derivative of a function on r or θ, and many methods deriv- ing directly the general solution of differentiating equations about equilibrium in polar coordinates are found neglecting the forces distributed in volume. The methods are conciser and forthrighter than the conventional ones; therefore, it proves practical to derive the stress function.
出处
《广州大学学报(综合版)》
2001年第2期37-39,共3页
Journal of Guangzhou University
关键词
极坐标
平衡微分方程通解
直接推导方法
应力分量
应力函数
polar Coordinates
general solution of differentiating equations about equilibrium
forthright derivation method