| 考虑横向剪切变形简支矩形中厚板的屈曲分析 |
| |
| 引用本文： | 黄会荣,郝际平,张海霞,郭家元.考虑横向剪切变形简支矩形中厚板的屈曲分析[J].西安建筑科技大学学报(自然科学版),2011(5). |
| |
| 作者姓名： | 黄会荣 郝际平 张海霞 郭家元 |
| |
| 作者单位： | 西安建筑科技大学机电工程学院;西安建筑科技大学土木工程学院;山东省泰安市建筑设计院; |
| |
| 基金项目： | 国家自然科学基金资助项目(50878181); 陕西省教育厅专项基金资助项目(11JK0958) |
| |
| 摘 要： | 基于考虑横向剪切变形中厚板的几何方程、物理方程及平衡方程,建立关于一个中面挠度和两个中面转角为独立变量的中厚板大挠度弯曲的位移型控制微分方程,从而获得中厚板小挠度屈曲的位移型控制微分方程.该方程退化为薄板屈曲的控制微分方程的正确性说明推导过程的正确性及一般性.文中中厚板小挠度屈曲的位移型控制微分方程是一个六阶耦合微分方程,对其使用双重三角级数并作为广义坐标,将两个中面转角解耦为中面挠度的函数,进一步建立中厚板小挠度屈曲的特征方程,从而借助MATLAB工具得到简支矩形中厚板小挠度屈曲的临界荷载表达式,最后应用MATLAB工具通过临界荷载表达式获得临界荷载系数的曲线,整个求解过程简便,且其曲线退化后符合经典的薄板临界荷载曲线.
|
| 关 键 词： | 横向剪切变形 位移型控制微分方程 小挠度屈曲 简支矩形中厚板 双重三角级数 临界荷载 |
Study on buckling of simply supported rectangular medium plate considering the transverse shearing deformation |
| |
| HUANG Hui-rong,HAO Ji-ping,ZHANG Hai-xia,GUO Jia-yuan.Study on buckling of simply supported rectangular medium plate considering the transverse shearing deformation[J].Journal of Xi'an University of Architecture & Technology,2011(5). |
| |
| Authors: | HUANG Hui-rong HAO Ji-ping ZHANG Hai-xia GUO Jia-yuan |
| |
| Affiliation: | HUANG Hui-rong1,2,HAO Ji-ping2,ZHANG Hai-xia3,GUO Jia-yuan1(1.College of Mechanical & Electrical Engineering,2.College of Civil Engineering,3.Taian Institute of Architectural Design,Taian 271000,China) |
| |
| Abstract: | Based on the theory of geometric equation,physical equation and equilibrium equation of medium plate considered transverse shearing deformation,the displacement governing differential equation for the large-deflection bending of medium plate is established,concerning three independent variables including one middle surface displacement and two middle surface angles of rotation.So the displacement governing differential equation for the small-deflection buckling of medium plate is obtained.Furthermore,the eq... |
| |
| Keywords: | transverse shearing deformation displacement governing differential equation small-deflection buckling simply supported rectangular medium plates double trigonometric series critical load |
| 本文献已被 CNKI 等数据库收录！ |
|
