基于位移形函数和力形函数的梁柱单元理论对比研究  

Comparative investigation of displacement-based and force-based beam-column element theories

作　　者：梁吉[1] 邵丽芳[2] 

机构地区：[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

出　　处：《兰州理工大学学报》2008年第5期131-134,共4页Journal of Lanzhou University of Technology

基　　金：浙江省交通科技项目(2008H20)

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.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 devetoped in which the iterative solution was performed with cylindric arc-length method. The comparative calculation showed that force-based beam-column element was superior to the displacement-based one in terms of its accuracy and efficiency.

关 键 词：位移形函数 力形函数 梁柱单元 

分 类 号：TU311.41[建筑科学—结构工程]