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工程力学  2013 

爆炸荷载作用下承重柱的弹性动力响应分析

DOI: 10.6052/j.issn.1000-4750.2011.08.0544, PP. 112-119

Keywords: 承重柱,Timoshenko梁,轴力,爆炸荷载,线性响应

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Abstract:

为了建立爆炸荷载作用下承重柱构件的弹性动力响应分析方法,进一步奠定研究承重柱非线性抗爆响应和破坏形态的理论基础,该文将承重柱简化为承受轴向荷载的约束梁构件,并基于经典Timoshenko梁理论,通过建立等效频率矩阵、等效荷载向量矩阵以及修正的等效质量矩阵,采用变量分离法联立方程求解,推导出承受恒定轴力的Timoshenko梁在任意横向爆炸荷载作用下的弹性动力响应的解析解;并以此弹性解析方法为基础,进一步分析讨论了爆炸荷载作用下,长细比、初始轴向应变、端部约束条件及荷载参数等因素对承重柱弹性动态响应的影响,研究结果对钢柱或钢筋混凝土柱(RC柱)的抗爆分析与设计有参考作用。

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