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工程力学  2014 

压弯截面的弹塑性弯矩-曲率相关关系的解析法

DOI: 10.6052/j.issn.1000-4750.2013.06.0509

Keywords: 材料非线性,逆解法,边缘应变,轴力弯矩曲率曲线,形状系数

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Abstract:

在平截面和钢材理想弹塑性模型假设下,设置纯弯曲受压区和塑性区高度系数等参数,对矩形和工字形钢截面进行了应变和内力的相关分析,得到相应应变变化区域。仅以受拉和受压两个边缘应变为自变量,建立了各参变量的解析表达式,及其在弹性、单侧塑性和双侧塑性极限状态的解析表达式。采用逆解法建立轴力不变和曲率不变两种情况下的截面轴力弯矩曲率曲线,以及截面弯矩轴力相关曲线。这些曲线反映了轴力-弯矩-曲率三变量相互间的依存和变化的全貌。

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