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| Mathematical modeling and simulation for nonlinear mechanical behavior of vaulted metallic membrane |
| Revised:November 22, 2002 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20045111 |
| KeyWord:large deformation,metallic membrane,mathematical models,numerical solution |
| Gao Guangfan Ding Xinwei~* |
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| Abstract: |
| A method for plastic large deformation analysis of circular metallic membrane subjected to lateral pressure was presented. Stress-strain relationships of plasticity, geometrical equations, and static equilibrium conditions were acquired. Then these expressions were transformed to initial-value problems in differential algebraic equations of index 1. Which consists of three ordinary differential equations and one algebraic constraint equation. Numerical solutions were carried out using the Newton-Raphson root-locating method and Klopfenstein-Shampine numerical differentiation formulas with varying step size and variable order. The stresses, strains, deformations of metallic membrane at specific times could be obtained and the ultimate pressure could also be estimated. Finally, numerical analysis for an example was completed. The comparison shows fairly close agreement between numerical and experimental results. |
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