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| 周期径向荷载作用下圆弧格构拱动力稳定性分析 | |
| 引用本文： | 赵洪金,刘超,孟昭博,吴敏哲.周期径向荷载作用下圆弧格构拱动力稳定性分析[J].地震工程与工程振动,2011,31(6):73-77. |
| 作者姓名： | 赵洪金 刘超 孟昭博 吴敏哲 |
| 作者单位： | 1. 西安建筑科技大学土木工程学院,陕西西安,710055 2. 西安建筑科技大学土木工程学院,陕西西安710055;西安建筑科技大学理学院,陕西西安710055; 3. 聊城大学建筑工程学院,山东聊城,252059 |
| 基金项目： | 西安建筑科技大学青年基金项目 |
| 摘 要： | 基于结构弹性稳定理论,根据能量法推导出以位移为基本未知量的圆弧格构拱总势能,从Hamilton原理出发,建立了考虑剪切变形的圆弧格构拱的动力稳定微分方程.利用Galerkin方法将其转化为二阶常微分Mathieu型参数共振方程,求得周期解所包围的动力不稳定区域,探讨了圆弧格构拱发生参数共振的动力稳定性问题,分析了缀条面... |
| 关 键 词： | 能量法 格构拱 剪切变形 参数共振 |
Analysis of dynamic stability of circular lattice arch subjected to periodic radial load |
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| ZHAO Hongjin,LIU Chao,MENG Zhaobo,WU Minzhe.Analysis of dynamic stability of circular lattice arch subjected to periodic radial load[J].Earthquake Engineering and Engineering Vibration,2011,31(6):73-77. | |
| Authors: | ZHAO Hongjin LIU Chao MENG Zhaobo WU Minzhe |
| Institution: | 1 (1.School of Civil Engineering,Xi’an University of Architecture & Technology,Xi’an 710055,China; 2.School of Science,Xi’an University of Architecture & Technology,Xi’an 710055,China; 3.School of Architecture Engineering,Liaocheng University,Liaocheng 252059,China.) |
| Abstract: | Based on the theory of elastic stability of structure,the total potential energy of circular lattice arch taking displacement as basic unknown variables was obtained according to energy method.The dynamic stability differential equation of circular lattice arch subjected to distributing radial periodic load was derived by applying the energy method and Hamilton principle.Galerkin’s method was used to convert the partial differential equations into the ordinary differential Mathieu equations.The dynamic instability regions surrounded by periodic solutions were obtained.The dynamic stability problems of parametric vibration were discussed about circular lattice arch.The influences of sewed bars area,radius of circle and central angle etc.on the dynamic stabilities were discusseded.This provided a reference basis for dynamic analysis and design in structural engineering. |
| Keywords: | theory method circular lattice arch shear deformation parametric resonance |
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