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The Linear Matching Method for Limit Loads and Shakedown Analysis of Portal Frames
並列摘要
We investigate the performance of a sequential programming method, based on the Linear Matching Method, for the direct evaluation of limit loads and shakedown limits for elastic‐perfectly plastic portal frames subjected to complex histories of loading. This end is achieved by solving a sequence of linear problems defined with spatially varying moduli which relates properties of the yield condition to those of the linear problems. The method has been implemented in the commercial finite element package ABAQUS using the user defined procedures. It is shown that this method provides a sequence of upper bounds that monotonically reduces and converges to the least upper bound associated with the chosen class of displacement fields associated with FE mesh. A sequence of examples for a Von Mises yield condition demonstrates the ability of the procedure to produce a range of performance indicators for portal frames subjected to both cyclic vertical and horizontal loads.
延伸閱讀
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