华南理工大学学报(自然科学版) ›› 2013, Vol. 41 ›› Issue (3): 108-115.doi: 10.3969/j.issn.1000-565X.2013.03.016

• 机械工程 • 上一篇    下一篇

参数变化对简支斜板屈曲承载力的影响规律

付为刚 程文明 濮德璋 郑严   

  1. 西南交通大学 机械工程研究所,四川 成都 610031
  • 收稿日期:2012-08-22 修回日期:2012-11-19 出版日期:2013-03-25 发布日期:2013-02-01
  • 通信作者: 付为刚(1984-),男,博士生,主要从事结构稳定性优化、结构轻量化设计研究. E-mail:jiaodafwg@126.com
  • 作者简介:付为刚(1984-),男,博士生,主要从事结构稳定性优化、结构轻量化设计研究.
  • 基金资助:

    国家自然科学基金资助项目( 51175442 ) ; 西南交通大学中央高校基本科研业务费专项资金资助项目( 2010ZT03)

Influence Law of Varying Parameters on Buckling Bearing Capacity of Simply-Supported Skew Plates

Fu Wei-gang Cheng Wen-ming Pu De-zhang Zheng Yan   

  1. Research Institute of Mechanical Engineering,Southwest Jiaotong University,Chengdu 610031,Sichuan,China
  • Received:2012-08-22 Revised:2012-11-19 Online:2013-03-25 Published:2013-02-01
  • Contact: 付为刚(1984-),男,博士生,主要从事结构稳定性优化、结构轻量化设计研究. E-mail:jiaodafwg@126.com
  • About author:付为刚(1984-),男,博士生,主要从事结构稳定性优化、结构轻量化设计研究.
  • Supported by:

    国家自然科学基金资助项目( 51175442 ) ; 西南交通大学中央高校基本科研业务费专项资金资助项目( 2010ZT03)

摘要: 针对斜向肋箱梁结构中的局部屈曲失稳问题,推导斜坐标系下简支边的弯矩计算公式、纵向面内载荷作用下斜板的屈曲平衡微分方程,将调和微分求积法和边界融入法相结合,给出调和边界融入微分求积法求解简支斜板局部稳定性的具体方法.最后以单向轴压或剪应力作用下的简支斜板为例,研究载荷变化系数、斜板边长比、倾角与屈曲临界载荷之间的关系.结果表明: 单向轴压作用下简支斜板屈曲临界载荷随载荷变化系数的增大而增大,随倾角的增大而减小,随边长比的增大先增大后减小再增大; 剪应力作用下简支斜板屈曲临界载荷随边长比的增大而增大,随倾角的增大先减小后增大.

关键词: 箱梁, 简支斜板, 边界融入法, 调和微分求积法, 屈曲临界载荷

Abstract:

In order to overcome the local buckling instability of skew plates in box girder,the equations of momentof simply-supported edges in oblique coordinate system and the buckling differential governing equations of skewplates subjected to longitudinal in-plane loads are deduced.Then,by combining the harmonic differential quadraturemethod with the build-in method,a novel method to implement the critical buckling stability of simply-supportedskew plates is proposed. Moreover,by taking the skew plates subjected to uniaxial pressure or shear force as astudy sample,the influences of load-varying coefficient,aspect ratio and skew angle on the critical bulking load areinvestigated. The results show that,when the simply-supported skew plates are subjected to uniaxial pressure,thecritical buckling load increases with the increase of load-varying coefficient and with the decrease of skew angle,however,it undergoes a decrease during its increase with the aspect ratio. Moreover,it is found that,when theskew plates are subjected to shear force,the critical buckling load increases with the aspect ratio,and that it firstdecreases and then increases with the increase of skew angle.

Key words: box girder, simply-supported skew plate, build-in method, harmonic differential quadrature method, critical buckling load

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