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基于能量变分法的变截面桁架柱弯曲屈曲分析

Buckling Analysis of Truss Column with Variable Section Based on Energy Variational Method
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摘要 基于应变能等效原则,推导得到变截面桁架柱的抗弯和抗剪刚度。通过能量变分法以及分解刚度法确定了变截面悬臂桁架的弯曲屈曲荷载。利用ABAQUS以及ANSYS对十二个具有代表性的变截面桁架进行有限元模拟,对比验证了三种变截面桁架等效抗弯刚度理论公式以及弯曲屈曲荷载公式。结果表明本文所用方法具有较高的精度(平均误差1.83%),且所得结果偏于安全,计算较为简便,可作为工程人员校核变截面桁架柱稳定设计的方法。 Based on the principle of energy equivalence,the bending stiffness and shear stiffness of truss column with variable cross-section are derived.Buckling loads of cantilever lattice columns with variable crosssection are determined by energy variational method and decomposition stiffness method.Twelve models are established in the Finite Element Software as ANSYS and ABAQUS to check the correctness of the solutions of three papers.The results show the high-precision of the method of this paper(average error 1.83%)and the results are safe and easy to calculate.It can be used as a method for engineers to check the stability design of truss column with variable cross-section.
作者 张文福 华俊凯 王珉 严威 计静 刘迎春 ZHANG Wenfu;HUA Junkai;WANG Min;YAN Wei;JI Jing;LIU Yingchun(School of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215000,China;School of Architecture Engineering,Nanjing Institute of Technology,Nanjing 211167,China;School of Civil Engineering and Architecture,Northeast Petroleum University,Daqing 163318,China)
出处 《结构工程师》 2021年第1期24-31,共8页 Structural Engineers
关键词 能量变分法 变截面桁架 等效抗弯刚度 屈曲 有限元分析 energy variational method truss with variable cross-sections equivalent bending stiffness buckling FE analysis
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