球形扁壳超临界变形的步进求和计算
Progressing Step by Step and Integrating Calculation of Overcritical Deformation of Spherical Shallow Shells
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摘要: 本文用步进求和法计算了球形扁壳第二类失稳问题,在球扁壳超临界变形计算上给出了优于一级近似结果,解决了该问题无法求二级近似解的困难.算例表明步进求和法收敛于二级近似解.Abstract: In this paper, the problem of second buckling of the spherical shallow shell is calculated by use of the method of progressing step by step and integrating. The result is more exact than that of first approximate analysis for over-critical deformation of spherical shallow shell. It has been solved that the solution of second approximate analysis in this problem can't be found. The calculating example in this paper shows that the solution of progressing step by step and integrating converges to second approximate solution.
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[1] 杨耀乾,《薄壳理论》,中国铁道出版社(1981),266-272. [2] 钱伟长,均匀受压夹支圆板的大挠度,中国物理学报,7,2 (1947). [3] Волъмир А.С.,Гцбкце Пласмцннкц ц Оболочкц,ξ4.7(1956) [4] Oden,J.T.,Finite Elements of Nonlihear Continua,Japan Pei Feng House(1980),79. -
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