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。
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.
出处
《华南理工大学学报（自然科学版）》
EI
CAS
CSCD
1995年第4期69-76,共8页
Journal of South China University of Technology(Natural Science Edition)
