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基于位移形函数和力形函数的梁柱单元理论对比研究
引用本文:梁吉,邵丽芳.基于位移形函数和力形函数的梁柱单元理论对比研究[J].兰州理工大学学报,2008,34(5).
作者姓名:梁吉  邵丽芳
作者单位:1. 浙江大学,研究生学院,浙江,杭州,310027
2. 浙江交通职业技术学院,浙江,杭州,311112
摘    要:基于位移形函数的梁柱单元理论被广泛应用于框架结构梁柱单元的有限元分析,但其计算精度受到位移形函数的限制而难以提高.对比基于位移形函数的相关理论,总结基于力形函数的梁柱单元理论,进行有限元程序编制,计算过程中采用柱面弧长法来进行迭代求解.程序计算结果对比表明,基于力形函数的梁柱单元计算效率和计算精度均高于基于位移形函数的梁柱单元.

关 键 词:位移形函数  力形函数  梁柱单元

Comparative investigation of displacement-based and force-based beam-column element theories
LIANG Ji,SHAO Li-fang.Comparative investigation of displacement-based and force-based beam-column element theories[J].Journal of Lanzhou University of Technology,2008,34(5).
Authors:LIANG Ji  SHAO Li-fang
Institution:LIANG Ji1,SHAO Li-fang2(1.The Institute of Graduate Studies,Zhejiang University,Hangzhou 310027,China,2.Zhejiang Institute of Communications,Hangzhou 311112,China)
Abstract:Displacement-based beam-column element theory was widely adopted in finite element analysis of frame beam-column elements.The accuracy of calculation was difficult to improve due to the restriction caused by the displacement shape function.Compared to the displacement-based beam-column element theory,the force-based beam-column element theory was summed up,and its finite element program was developed in which the iterative solution was performed with cylindric arc-length method.The comparative calculation s...
Keywords:displacement shape function  force shape function  beam-column element  
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