不同模量弯压柱的解析解  

Analytical Solution of Bending-Compression Column Using Different Tension-Compression Modulus

作　　者：姚文娟[1] 叶志明[2] 

机构地区：[1]上海大学土木工程系,上海200072 [2]上海市应用数学和力学研究所,上海200072

出　　处：《应用数学和力学》2004年第9期901-909,共9页Applied Mathematics and Mechanics

摘　　要：　依据不同模量弹性理论用流动坐标系及分段积分法导出复合荷载作用下弯压柱的解析解,建立了中性轴、应力、应变、位移的计算公式,并编制相应的有限元程序进行计算,与解析解进行误差对比·　最后对不同模量计算结果与经典力学同模量计算结果进行分析对比,得出两种理论计算结果的差异。Based on elastic theory of different tension-compression modulus, the analytical solution was deduced for bending-compression column subject to combined loadings by the flowing coordinate system and phased integration method. The formulations for the neutral axis, stress, strain and displacement were developed, the finite element program was compiled for calculation, and the comparison between the result of finite element and analytical solution were given too. Finally, compare and analyze the result of different modulus and the same modulus, obtain the difference of two theories in result, and propose the reasonable suggestion for the calculation of this structure.

关 键 词：不同模量 弯压柱 解析解 中性轴 

分 类 号：O343.5[理学—固体力学]