| 考虑二阶弯矩效应的自由扭转圆曲梁静力分析 |
| |
| 引用本文： | 王佳佳,丁敏,蒋秀根,郭韦佟,邓婷,王宏志.考虑二阶弯矩效应的自由扭转圆曲梁静力分析[J].中国农业大学学报,2019,24(3):109-116. |
| |
| 作者姓名： | 王佳佳 丁敏 蒋秀根 郭韦佟 邓婷 王宏志 |
| |
| 作者单位： | 中国农业大学水利与土木工程学院;交通运输部水运科学研究院水路交通环保节能监测中心 |
| |
| 基金项目： | 国家自然科学基金项目（11672362） |
| |
| 摘 要： | 针对拱形温室结构在轴向风荷载作用下的受力变形及屋面荷载作用下平面外稳定问题,根据考虑曲梁的大位移特征及二阶弯矩效应,建立圆曲梁的弯矩平衡方程,结合其他平衡方程、几何方程、物理方程,获得非线性圆曲梁挠度和扭转角的控制方程,得到含系数的圆曲梁几何非线性位移、变形和内力模型,给出圆曲梁几何非线性位移及内力的计算方案。鉴于圆曲梁的受力变形与圆拱平面外失稳特征变形的相似性,在此研究的基础上,分析圆拱平面外失稳问题,给出圆拱平面外分岔失稳临界荷载的计算方法。分析结果表明:本研究得到的圆曲梁几何非线性静力分析模型,可用于拱形温室屋面结构的非线性受力分析及平面外分岔及极值点失稳计算。
|
| 关 键 词： | 圆曲梁 圆拱 二阶弯矩效应 几何非线性 静力分析 |
| 收稿时间： | 2018/6/11 0:00:00 |
Static analysis of circular curved beam with free torsion considering second-order moment effect |
| |
| WANG Jiaji,DING Min,JIANG Xiugen,GUO Weitong,DENG Ting and WANG Hongzhi.Static analysis of circular curved beam with free torsion considering second-order moment effect[J].Journal of China Agricultural University,2019,24(3):109-116. |
| |
| Authors: | WANG Jiaji DING Min JIANG Xiugen GUO Weitong DENG Ting and WANG Hongzhi |
| |
| Institution: | College of Water Resources and Civil Engineering, China Agricultural University, Beijing 100083, China,College of Water Resources and Civil Engineering, China Agricultural University, Beijing 100083, China,College of Water Resources and Civil Engineering, China Agricultural University, Beijing 100083, China,College of Water Resources and Civil Engineering, China Agricultural University, Beijing 100083, China;Waterway Transportation Environmental Protection and Energy Saving Monitoring Center, China Waterborne Transport Research Institute, Beijing 100088, China,College of Water Resources and Civil Engineering, China Agricultural University, Beijing 100083, China and College of Water Resources and Civil Engineering, China Agricultural University, Beijing 100083, China |
| |
| Abstract: | Aiming at the problem of the behavior of arch greenhouse structure under longitudinal wind load and out-plane stability under roof load,a moment equilibrium equation of circular curved beam was established by taking large displacement and second-order moment effect into account.Combined with other equilibrium equation,geometric equation and physical equation,the deflection and torsion angle control equations of circular curved beam were obtained,respectively.Then the geometric nonlinear displacement,deformation and internal force models including coefficients of circular curved beam were received,and the calculation scheme for geometric nonlinear displacement and internal force of circular curved beam were also gained.Because the deformation of circular curved beam was similar to that of circular arch with out-plane buckling.On the above basis,the out-plane buckling of circular arch was analyzed and the calculation method for critical load of circular arch with out-plane bifurcation buckling was built.The analysis results showed that the geometric nonlinear static analysis model of circular curved beam by the study could be used to calculate the nonlinear behavior of arch greenhouse structure and the out-plane bifurcation buckling. |
| |
| Keywords: | circular curved beam circular arch second-order moment effect geometric nonlinearity static analysis |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《中国农业大学学报》浏览原始摘要信息 |
| 点击此处可从《中国农业大学学报》下载免费的PDF全文 |
|
