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谐波平衡法在动导数快速预测中的应用研究

陈琦 陈坚强 袁先旭 谢昱飞

陈琦, 陈坚强, 袁先旭, 谢昱飞. 谐波平衡法在动导数快速预测中的应用研究[J]. 力学学报, 2014, 46(2): 183-190. doi: 10.6052/0459-1879-13-145
引用本文: 陈琦, 陈坚强, 袁先旭, 谢昱飞. 谐波平衡法在动导数快速预测中的应用研究[J]. 力学学报, 2014, 46(2): 183-190. doi: 10.6052/0459-1879-13-145
Chen Qi, Chen Jianqiang, Yuan Xianxu, Xie Yufei. APPLICATION OF A HARMONIC BALANCE METHOD IN RAPID PREDICTIONS OF DYNAMIC STABILITY DERIVATIVES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(2): 183-190. doi: 10.6052/0459-1879-13-145
Citation: Chen Qi, Chen Jianqiang, Yuan Xianxu, Xie Yufei. APPLICATION OF A HARMONIC BALANCE METHOD IN RAPID PREDICTIONS OF DYNAMIC STABILITY DERIVATIVES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(2): 183-190. doi: 10.6052/0459-1879-13-145

谐波平衡法在动导数快速预测中的应用研究

doi: 10.6052/0459-1879-13-145
基金项目: 国家自然科学基金资助项目(912162001).
详细信息
    作者简介:

    陈坚强,研究员,主要研究方向:计算空气动力学.E-mail:jq-chen@263.net

  • 中图分类号: O355

APPLICATION OF A HARMONIC BALANCE METHOD IN RAPID PREDICTIONS OF DYNAMIC STABILITY DERIVATIVES

Funds: The project was supported by the National Natural Science Foundation of China (912162001).
  • 摘要: 谐波平衡法以傅里叶级数展开为基础,将周期性非定常流场的非定常求解过程转化为几个定常流场的耦合求解过程,并通过重建得到整个流场的非定常过程. 建立了基于谐波平衡法的动导数快速预测方法,数值模拟了超声速带翼导弹俯仰的动态流场,并通过积分法获取了俯仰动导数,与实验结果吻合很好;且在同等计算精度下,谐波平衡法的计算效率是双时间步方法的13 倍. 应用谐波平衡法研究了较大范围内减缩频率对俯仰动导数的影响规律. 研究发现,对于本外形,当减缩频率降低到一定值后,俯仰动导数的值迅速变化,甚至发生变号;对此现象产生的原因进行了深入分析,并通过对导弹自激俯仰运动的数值模拟验证了该结果. 此外,针对大攻角条件下动态流场非线性强的特点,开展了谐波平衡法在大攻角下的适用性研究. 结果表明,谐波平衡法在大攻角下也能取得很好的计算结果.

     

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出版历程
  • 收稿日期:  2013-05-10
  • 修回日期:  2013-11-24
  • 刊出日期:  2014-03-18

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