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超声速流中含间隙和立方非线性二元机翼的动力学分析

郭虎伦 陈予恕

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. doi: 10.3879/j.issn.1000-0887.2012.01.001
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. doi: 10.3879/j.issn.1000-0887.2012.01.001
GUO Hu-lun, 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. doi: 10.3879/j.issn.1000-0887.2012.01.001
Citation: GUO Hu-lun, 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. doi: 10.3879/j.issn.1000-0887.2012.01.001

超声速流中含间隙和立方非线性二元机翼的动力学分析

doi: 10.3879/j.issn.1000-0887.2012.01.001
详细信息
    通讯作者:

    郭虎伦(1984—),男,江西人,博士生(E-mail: hulunguo@yahoo.cn);陈予恕(1931—),男,山东肥城人,教授,院士(联系人. E-mail: yschen@hit.edu.cn).

  • 中图分类号: V215.3+4; O322

Dynamic Analysis of a Two-Degree-of-Freedom Airfoil With Freeplay and Cubic Nonlinearities in Supersonic Flow

  • 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Floquet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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出版历程
  • 收稿日期:  2011-06-02
  • 修回日期:  2011-09-18
  • 刊出日期:  2012-01-15

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