节点文献
具有刚性加强端的斜锥壳的渐近解法
THE ASYMPTOTIC SOLUTION OF SLANTING CONICAL SHELL WITH RIGID-REINFORCED END
【摘要】 本文在文献[1]、[2]的基础上,利用将内力及位移展开成k=(h/λ)1/2及斜锥偏度参数m的双重渐近幂级数的方法,得出了斜锥壳的渐近解,同时以直角斜锥壳承受正压力情况为例,给出了它的应力计算分析表达式。 为了验证所给公式的精确程度,计算了斜锥壳薄膜应力的数值解,并作了两个斜锥壳试件的电测试验。结果表明,本文所得的渐近解的误差基本上在(h/λ)1/2及m2的量级范围內。 对于斜锥壳这类形状复杂的构件,直接求解薄壳基本方程是很困难的,数值解只能求出在给定尺寸时的解答,不能得出适用于一般尺寸的解析解,对具有小参数特点的构件,渐近解的优点在于能得到具有一定精度的应力分析表达式,便于工程设计应用。
【Abstract】 On the basis of Kef. [1] [2], in this paper the asymptotic solution of slanting conical shell is derived by the expansion of internal forces and displacements into a double asymptotic power series in terms of k=(h/λ)1/2 and the slant parameter m of the shell. As an example, analytical formulas for stresses in a right-angled slanting shell under normal pressure are presented.In order to verify the degree of accuracy of these formulas, the numerical solution of membrance stress problem of slanting conical shell is calculated on the computer, and experimental measurements on two slanting conical shell models are carried out. The comparison shows that the error of the asymptotic solution presented in this paper is of the order of k and m*.
- 【文献出处】 力学学报 ,Acta Mechanica Sinica , 编辑部邮箱 ,1985年04期
- 【被引频次】4
- 【下载频次】37