| 三维粘弹壁板颤振分析 |
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| 引用本文： | 肖艳平,杨翊仁,叶献辉.三维粘弹壁板颤振分析[J].振动与冲击,2011,30(1):82-86. |
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| 作者姓名： | 肖艳平 杨翊仁 叶献辉 |
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| 作者单位： | 1、中国民航飞行学院飞行技术系，四川广汉 618307，2、西南交通大学力学与工程学院，四川成都 610031 |
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| 基金项目： | 国家自然科学基金和中国工程物理研究院联合基金资助项目，中国民航青年基金 |
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| 摘 要： | 基于Kelvin粘弹模型，根据Von Karman大变形应变-位移关系和一阶活塞气动力理论，运用伽辽金方法建立了三维粘弹壁板颤振方程，并采用Rouge-Kutta法进行数值积分，分析粘弹阻尼，面内压力及壁板几何尺寸对粘弹壁板颤振的影响，进而取动压为分叉参数，研究粘弹壁板颤振时的分叉及混沌等特性。结果表明：随着粘弹性阻尼的增大, 系统的静态稳定区域先减小后增大,而静态屈曲解几乎不受影响,同时发现混沌运动区域随着粘弹阻尼的增大而快速减小。当取动压为分叉参数时发现粘弹壁板分叉特性很复杂，系统由屈曲状态进入混沌振动，再经历一系列的分叉进入简谐极限环振动状态；而较大面内压力和较小的长宽比不利于粘弹壁板的稳定。
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| 关 键 词： | 粘弹壁板 活塞理论 颤振 分叉 |
| 收稿时间： | 2010-2-1 |
| 修稿时间： | 2010-4-19 |
Flutter analysis for a three-dimensional viscoelastic panel |
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| XIAO Yan-ping,YANG Yi-ren,YE Xian-hui.Flutter analysis for a three-dimensional viscoelastic panel[J].Journal of Vibration and Shock,2011,30(1):82-86. |
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| Authors: | XIAO Yan-ping YANG Yi-ren YE Xian-hui |
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| Affiliation: | 1. The Dept. Of Flight Tech., Civil Aviation Flight College of China, Guanghan 618307, China2. Dept. of Appl. Mechanics and Eng. , Southwest Jiaotong University , Chengdu 610031 , China |
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| Abstract: | Based on Kelvin viscoelastic damping model,the flutter differential equations of a three-dimension panel were set up according to Von Karman large deformation strain-displacement relation and the first piston theory of supersonic aerodynamics by using Galerkin approach,and solved with Rouge-Kutta method.The effects of viscoelastic damping,in-plane loads and panel length-to-width ratios on the flutter of the panel were analyzed.Then,using dynamic pressure as the bifurcation parameter,the bifurcation and chao... |
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| Keywords: | viscoelastic panel piston theory flutter bifurcation |
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