) a.桂林理工大学 土木与建筑工程学院,广西 桂林 541004
b.桂林理工大学 广西岩土力学与工程重点实验室,广西 桂林 541004
收稿日期:2020-10-26出版日期:2022-01-28发布日期:2022-01-21通讯作者:郑艳E-mail:2008064@glut.edu.cn作者简介:吴 韬(1994-),男,江苏省溧阳市人,硕士生,主要从事钢-混组合结构桥梁研究.基金资助:国家自然科学基金(52068012);广西自然科学基金资助项目(2019JJA160040)Explicit Buckling Analysis of Rotationally Restrained Plates on Rigid Base Under Various Loading Conditions
WU Taoa, MO Shixua,b, XIANG Yongbina, ZOU Zequna, ZHENG Yana,b() a. College of Civil Engineering and Architecture, Guilin University of Technology, Guilin 541004, Guangxi, China
b. Guangxi Key Laboratory of Geomechanics and Geotechnical Engineering, Guilin University of Technology, Guilin 541004, Guangxi, China
Received:2020-10-26Online:2022-01-28Published:2022-01-21Contact:ZHENG Yan E-mail:2008064@glut.edu.cn摘要/Abstract
摘要： 为探究对于刚性基底上边界不同弹性转动约束刚度矩形板的单侧屈曲行为,研究了在刚性基底上弹性转动约束矩形薄板四边受线性压力和均布剪力屈曲的问题.采用Rayleigh-Ritz法,依据不同受载情况的屈曲形变提出合适的挠曲面函数,由板屈曲时能量的变分推得临界屈曲荷载理论解.运用相关性稳定验算公式,获得薄板在弯-剪复合应力下的屈曲公式.建立相关有限元模型,分析不同基底刚度和弯剪比对弯-剪复合屈曲应力的影响,并与一个半充填式钢箱-混凝土组合梁负弯矩区腹板屈曲试验结果比较.结果表明:半充填混凝土作刚性基底时可简化为刚度系数略低于5的弹性基底.
关键词: 矩形薄板, Ritz法, 刚性基底, 弹性转动约束, 临界屈曲系数, 弯-剪复合应力
Abstract: In order to investigate the unilateral buckling behavior of rectangular plates with different elastic rotational restraint stiffnesses on the rigid foundation, the buckling of rectangular plates with elastic rotation constraints on the rigid foundation under linear pressure and uniform shear force is studied. According to the buckling deformation under different loading conditions, the appropriate deflection surface function is proposed, and the theoretical solution to critical buckling load is deduced from the energy variation of plate buckling by using the Rayleigh-Ritz method. The buckling formula of the thin plate at the combined bending-shear stress is obtained by using the correlation stability checking formula. A finite element model is established to analyze the influence of different base stiffnesses and bending-shear ratios on the bending shear composite buckling stress. The results are compared with the web buckling test result of a semi filled steel box concrete composite beam in the negative moment region. The results show that the rigid foundation of semi filled concrete can be simplified as an elastic foundation with a stiffness coefficient slightly lower than 5.
Key words: rectangular plate, Ritz method, rigid foundation, rotationally restrained boundary, critical buckling coefficient, combined bending-shear stress
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