分析结构跳跃问题的自适应参数增量迭代方法

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The Adaptive Parameter Incremental Method for The Analysis of Snapping Prohlem

1.
Shanghai Inst.of Appl.Math;& Mech., Shanghai University of Techo1ology, Shanghai 20072;
2.
Aircraft Engineering Dept., Northwestern Polytechnical University, Xi'an 710072

摘要: 通过对Riks切线弧长法和Crisfield圆弧长法的综合及改进,本文提出分析结构跳跃问题的自适应参数增量迭代方法,并建立相应理论基础。最后文中给出中心分布压力作用下圆底扁球壳跳跃问题的数值结果,以验证它的有效性。
- 结构跳跃问题 /
- 自适应参数 /
- 增量迭代方法
Abstract: By the improvement of Riks' and Crisfield's arc-length method,the adaptive parameter incremental method is preasted for predicting the snapping response of structures. Its justification is fulfilled. Finally,the effectiveness of this method is demonstrated by solving the snapping response of spherical caps subjected to centrally distributed pressures.
- snapping problems /
- adaptive parameter /
- incremental method

[1]	E. Riks. An incremental approach to the solution of snapping and buckling problems, Int. J. Solids Structures, 5(1979), 529-551.
[2]	E. Riks, Some computational aspects of the stability analysis of nonlinear structures, Comput. Myths. Appl. Mech. Engrgt.,47(1984), 219-259.
[3]	M A Crisfield, A fact incremental iterative solution procedure that handles snapthrough, Computers and Structures, 13(1981),55-62.
[4]	Zhao Qi and T. Q. Yeh, The large deflection of spherical caps under centrally distributed pressures, 7th Braazilian Symposium on Piping and Pressure Vessels Florianpolis, 07-09 De Outubro De(1992).