【摘要】 提出了解决扁球壳非线性静、动态分析的另一种新的渐近方法。方法的实质是在壳体中面变形能中引入一新参量Ｉｅ，得到了一组以Ｉｅ简单耦合的控制方程，通过迭代一变分方法求解方程，得出了扁球壳的一般非线性运动方程的近似表达式。将本文所得的部分数值结果和现有结果比较，证明本文结果精度是满意的。更多还原

【Abstract】 A new approach for the non-linear analysis of static and dynamic behaviours of shallow spherical shells is presented in this paper. A new parameter Ie is introduced into the energy expression of the shell in order to obtain a set of simple differential governing equations coupled by Ie. By using iteration--variational method the above equations may be solved,thus we can obtain the approximate expression of the general non-linear equation of shallow spherical shell. Comparing some numerical results with that obtained by other methods it shows that the results in this paper are satisfactory.更多还原