一种考虑强化效应的梁塑性极限分析

Plastic Limit Analysis of Beams Considering Hardening Effect

应用传统的极限分析理论,提出一种改进的刚性-非线性强化近似模型.它较现有的几种刚塑性简化模型更符合实际,因而更合理.在梁的极限分析中采用新的刚塑性模型,推导出极限弯矩公式.文中以矩形截面梁为例,对所得结果与传统公式进行比较,结果表明传统公式可视为文中结果的一个特例.最后,给出便于工程应用的简化公式.文中所提出的刚塑性简化模型也可用于刚架、薄板等结构的极限分析.

Based on the traditional plastic limit analysis, an improved rigid-nonlinear Hardening approximate model is established. The improved model simulates the practical beam more accurately than current rigid-plastic simplified models, hence is more reasonable. Using the improved model, an ultimate bending moment formula is presented. Comparing with the traditional formula, the results of the rectangle beam indicates： the traditional formula is only a special case of the improved model. The simplified formula of the improved model is also given for the engineering convenience. The improved model can also be used to analyze the frame and thin-plate structures, etc.