一类涉及微积分的薄壁圆筒力学问题探索

A Class of Thin-walled Cylinder Mechanics Problems Involving Calculus

薄壁圆筒力学问题由于涉及高等数学的微积分成为力学问题的难点,在计算薄壁圆筒在内压强作用下的径向变形时,通常采用微积分和胡克定律相结合的方法来进行求解,很少涉及其他方法,为此,介绍一种解决此类问题的能量法,提供一种借鉴。

The mechanical problems of thin-walled cylinder are difficult because of the calculus of higher mathematics.When calcu⁃lating the radial deformation of thin-walled cylinder under internal pressure,the combination of calculus and Hooke's law to solve the problem is usually used in many textbooks,other methods are rarely involved.It is difficult for many students to understand.Therefore,this paper introduces the energy method to this kind of problem,providing a reference for the teacher's teaching and student learning.