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Lee极值原理与结构的大挠度塑性动力响应
引用本文:周青,余同希.Lee极值原理与结构的大挠度塑性动力响应[J].固体力学学报,1992,13(3):207-213.
作者姓名:周青  余同希
作者单位:北京大学 100871 (周青),北京大学 100871(余同希)
摘    要:本文介绍了利用Lee 极值原理确定结构的大挠度塑性动力响应的数值方法,给出了在均布冲击载荷作用下的理想刚塑性门形框架的大挠度进化模态解,指出如果模态形式取得合适,可使进化模态解接近于真实解.这样得到的门形框架的大挠度模态解与文献8]中的实验结果和文献9]中的大挠度完全解都符合得很好.

关 键 词:塑性动力响应  Lee极值原理  大挠度

LEE'S EXTREMUM PRINCIPLE AND THE LARGE DEFLECTION RESPONSE OF DYNAMICALLY LOADED PLASTIC STRUCTURES
Zhou Qing Yu Tongxi.LEE''''S EXTREMUM PRINCIPLE AND THE LARGE DEFLECTION RESPONSE OF DYNAMICALLY LOADED PLASTIC STRUCTURES[J].Acta Mechnica Solida Sinica,1992,13(3):207-213.
Authors:Zhou Qing Yu Tongxi
Abstract:An approximate method based on Lee's extremum principle is introduced to study the large deflec-tions of dynamically loaded plastic structures.As an example,the evolutionary mode of an impulsivelyloaded rigid-perfectly plastic portal frame is determined and then compared with the experimental re-sults8]and with the large deflection complete solution obtained previously9].It is found that the evo-lutionary modal solution may approach the complete solution if the modes are appropriately chosen.
Keywords:dynamic plastic response  Lcc's extremum principle  evolutionary mode  large dcflcction  portal frame  
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