期刊文献+

不同拉压模量弹性地基梁的解析解 被引量:8

Closed-form Analytical Solution for Beam on Elastic Foundation with Different Tension and Compression Modulus
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摘要 采用拉压不同模量理论,推导了不同模量弹性地基梁的解析解。研究得到的解析解拓展了经典力学理论,并且当拉压模量相同时,该解可以退化到经典理论解。将结果与经典力学同模量理论比较表明:研究得到的解析解能很好地考虑了拉压不同模量效应。为此,合理设计材料的拉压模量比值,可以显著的改变地基梁的弹性特征值、内力及挠度值。该理论遵循材料实际的力学行为,在实际工程设计中大大提高了材料的利用率,达到节约能源的目的,具有重要的工程意义。 On the basis of the theory of different modulus, the closed-form analytical solution for beams on elastic foundations with different modulus has been derived. A comparison is made between the results of the analytical solution and those calculated from the classic mechanic theories, in which the tension modulus are equal to the compression modulus. It is shown from the numerical results that the ratio of compressive modulus to tensile modulus will greatly affect the elastic characteristic values,internal forces and flexibilities. The present theory satisfies the mechanical behavior of materials. The amount of materials can be economized through rational design by using the elastic theory of different modulus.
出处 《重庆大学学报(自然科学版)》 EI CAS CSCD 北大核心 2007年第7期78-82,共5页 Journal of Chongqing University
基金 科技部重大科技攻关计划项目(2004BA901A02)
关键词 弹性地基梁 弹性特征值 拉压不同模量 解析解 beam on elastic foundation the elastic characteristic value different tension and compression modulus the closed-form analytical solution
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参考文献6

  • 1MEDRI G.A nonlinear elastic model for isotropic materials with different behavior in tension and compression[J].Journal of Applied Mechanics,Trans actions of the ASME,1982,26 (104):26-28.
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二级参考文献25

  • 1姚文娟,叶志明.不同模量弯压柱的解析解[J].应用数学和力学,2004,25(9):901-909. 被引量:50
  • 2姚文娟,叶志明.不同模量横力弯曲梁的解析解[J].应用数学和力学,2004,25(10):1014-1022. 被引量:44
  • 3张允真,孙东科,赵达壮,孔庆宽.不同模量θ≠0的数值计算及θ=0的误差分析[J].大连理工大学学报,1994,34(6):641-645. 被引量:8
  • 4赵达壮,张允真,李政.不同模量悬式绝缘子的形状优化[J].大连理工大学学报,1994,34(1):10-16. 被引量:4
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  • 10[9]YE Zhi-ming.A new finite element formulation for planar elastic deformation[J].Int J Numerical Methods in Engineering,1997,14(40):2579-2592.

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引证文献8

二级引证文献21

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