| 超声速流中含间隙和立方非线性二元机翼的动力学分析 |
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| 引用本文： | 郭虎伦,陈予恕.超声速流中含间隙和立方非线性二元机翼的动力学分析[J].应用数学和力学,2012,33(1):1-13. |
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| 作者姓名： | 郭虎伦 陈予恕 |
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| 作者单位： | 哈尔滨工业大学航天学院,哈尔滨,150001 |
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| 摘 要： | 研究超声速流中含间隙和立方非线性二元机翼的气动弹性响应.首先由二阶活塞理论得到了双楔机翼的气动力和气动力矩.然后由平均法得到了气动弹性方程的极限环响应,并用Flo-quet理论分析了极限环的稳定性.结果表明,间隙系统在超临界Hopf分岔的条件下也存在Fold分岔和幅值的跳跃现象.而后,数值解与平均法的结果进行了对比,两者吻合得很好.最后,详细研究了间隙参数对气动弹性响应的影响.
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| 关 键 词： | 间隙和立方非线性 平均法 极限环 幅值跳跃现象 |
Dynamic Analysis of a Two-Degree-of-Freedom Airfoil With Freeplay and Cubic Nonlinearities in Supersonic Flow |
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| GUO Hu-lun
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CHEN Yu-shu.Dynamic Analysis of a Two-Degree-of-Freedom Airfoil With Freeplay and Cubic Nonlinearities in Supersonic Flow[J].Applied Mathematics and Mechanics,2012,33(1):1-13. |
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| Authors: | GUO Hu-lun CHEN Yu-shu |
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| Institution: | (School of Astronautics,Harbin Institute of Technology,Harbin 150001,P.R.China) |
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| Abstract: | The nonlinear aeroelastic response of a two-dimensional airfoil with freeplay and cubic nonlinearities in supersonic flow were investigated.The second-order piston theory was employed to analyze a double wedge airfoil.Then,the fold bifurcation and the amplitude jump phenomenon were detected using averaging method and multi-variable Floquet theory.The analytical results were further verified by numerical simulations.Lastly,the influence of the freeplay parameters on the aeroelastic response was analyzed in detail. |
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| Keywords: | freeplay and cubic nonlinearity averaging method limit cycle oscillations amplitude jump phenomenon |
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