Analytical Solution of Bending-Compression Column Using Different Tension-Compression Modulus
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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，并提出对该类结构计算的合理建议．Abstract: Based on elastic theory of different tension-compression modulus,the analytical solution was presented 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,the results of different modulus and the same modulus are compared and analyzed,the difference of the two theories in result is obtained,and the reasonable suggestion for the calculation of this structure is proposed.
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Key words:
- different modulus /
- analytical solution /
- neutral axis /
- bending-compression column
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