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| 二维薄板在超音速气流作用下的热弹性颤振 | |
| 引用本文： | 陈大林,杨翊仁,胡绍全,范晨光. 二维薄板在超音速气流作用下的热弹性颤振[J]. 西南交通大学学报, 2007, 42(6): 691-694 |
| 作者姓名： | 陈大林 杨翊仁 胡绍全 范晨光 |
| 作者单位： | 1. 西南交通大学应用力学与工程系,四川,成都,610031;中国工程物理研究院总体工程研究所,四川,绵阳,621900 2. 西南交通大学应用力学与工程系,四川,成都,610031 3. 中国工程物理研究院总体工程研究所,四川,绵阳,621900 |
| 基金项目： | 国家自然科学基金，中国工程物理研究院联合基金资助项目(No.10576024) |
| 摘 要： | 根据von-Karman几何非线性应变位移关系建立了二维薄板在超音速气流作用下的非线性动力学模型,其中气动力根据一阶准静态活塞理论计算.用假设模态法和伽辽金方法使方程离散化,然后用Runge-Kutta方法计算.分析结果用分叉图和相图描述.结果表明,温度效应降低了板的稳定性;随动压增大,系统经历稳定运动、周期运动和混沌运动状态. |
| 关 键 词： | 颤振 热弹性 二维薄板 伽辽金方法 混沌 超音速气流 |
| 文章编号： | 0258-2724（2007）06-0691-04 |
| 收稿时间： | 2006-11-26 |
| 修稿时间： | 2006-11-26 |
Thermoelastic Flutter of a Two-Dimensional Thin Plate in Supersonic Airflow |
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| CHEN Dalin,YANG Yiren,HU Shaoquan,FAN Chenguang. Thermoelastic Flutter of a Two-Dimensional Thin Plate in Supersonic Airflow[J]. Journal of Southwest Jiaotong University, 2007, 42(6): 691-694 | |
| Authors: | CHEN Dalin YANG Yiren HU Shaoquan FAN Chenguang |
| Abstract: | A nonlinear dynamic model for a two-dimensional thin plate in supersonic or hypersonic airflow was derived using the von-Karman's geometrical nonlinear strain-displacement relation.In model,the first order piston theory is used to simulate the aerodynamic load.The equations in the model were discretized by the assumption mode method and the Galerkin approach,and solved by the Runge-Kutta numerical method.The results were illustrated by bifurcation and phase-plane diagrams.These results indicate that temperature decreases the stability of the plate,and that as the dynamic pressure increases the motion of the system changes from steady state to periodic state,then to chaotic state. |
| Keywords: | flutter thermoelastics two-dimensional thin plate Galerkin approach chaos supersonic airflow |
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