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悬臂板侧屈问题的多项式解法 被引量:3

A Polynomial Method for Solving the Problems for Lateral Instability of Cantilever Plates
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摘要 本文研究了悬臂矩形板受均布载荷或集中载荷作用时的侧屈问题.挠度函数选用多项式(2.1)以取代文献[1]中的余弦函数.本文得到的最小临界载荷比文献[1]相应结果更加准确,计算过程也十分简单. The present article researches the problems of the lateral instability of cantilever rectangular plates under a concentrated force or a uniformly distributed load respectively. We select the polynomial (2.1) instead of the cosecant function in ref.[l] as the flexural functions. The minimum critical load obtained here is more exact than the results obtained in ref.[l].
作者 袁镒吾
机构地区 中南工业大学
出处 《应用数学和力学》 EI CSCD 北大核心 1993年第2期151-155,共5页 Applied Mathematics and Mechanics
关键词 悬臂板 临界载荷 多项式 侧向屈曲 cantilever plates, lateral instability, critical load, polynomial
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参考文献2

  • 1成祥生,应用数学和力学,1988年,9卷,8期,735页 被引量:1
  • 2孙训方,材料力学.下,1980年 被引量:1

同被引文献27

  • 1陈绍蕃.柱段试验与钢压杆的局部-整体相关屈曲[J].建筑钢结构进展,2013,15(2):1-5. 被引量:8
  • 2成祥生.悬臂板侧屈中的几个问题[J]应用数学和力学,1988(08). 被引量:1
  • 3Astaneh-Asl A.Seismic behavior and design of steel plate shear wall[R].Steel TIPS Report,Structural Steel Educational Council,Moraga,CA,2001. 被引量:1
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  • 7Horii H,Kabele P,Takeuchi S,et al.On the prediction method for the structural performance of repaired/retrofitted structures[C]//Fracture Mechanics in Concrete Structures:Proceedings of FRAMCOS-3.Freiburg:Aedificatio Publishers,1998:17-39. 被引量:1
  • 8Kanda T,Watanabe S,Li V C.Application of pseudo strain hardening cementitious composites to shear resistant structural elements[C]//Fracture Mechanics in Concrete Structures:Proceedings of FRAMCOS-3.Freiburg:Aedificatio Publishers,1998:1477-1490. 被引量:1
  • 9Kesner K E.Development of seismic strengthening and retrofit strategies for critical facilities using engineered cementitious composite materials[D].New York:Cornell University,2003. 被引量:1
  • 10成祥生.悬臂板侧屈中的几个问题[J].应用数学和力学,1988,9(8):753-759. 被引量:1

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