北京航空航天大学学报 ›› 2010, Vol. 36 ›› Issue (2): 163-167.

• 论文 • 上一篇    下一篇

颤振分析中的模态跟踪技术

吴志刚, 宋 晨, 杨 超   

  1. 北京航空航天大学 航空科学与工程学院, 北京 100191
  • 收稿日期:2009-02-20 出版日期:2010-02-28 发布日期:2010-09-13
  • 作者简介:吴志刚(1977-),男,江西萍乡人,副教授,wuzhigang@buaa.edu.cn.
  • 基金资助:

    国家自然科学基金资助项目(90716006,10902006)

Mode tracking techniques in flutter analysis

Wu Zhigang, Song Chen, Yang Chao   

  1. School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • Received:2009-02-20 Online:2010-02-28 Published:2010-09-13

摘要: 颤振求解是一种研究参数(如空速)变化的特征值问题.在颤振模态判别和防颤振设计中,需要正确确定各阶模态对应的特征值随参数变化时的前后对应关系,避免出现模态交叉.针对颤振求解p-k法,发展了一种基于特征值摄动理论的模态跟踪技术——预测跟踪法,它利用特征值及左、右特征向量信息求解下一空速点的特征值估计量,以估计量为参考对特征值进行排序,将预测跟踪法和相似排序法、正交检验法进行了对比.数值结果表明:预测跟踪法比相似排序法和正交检验法具有更好的模态跟踪效果.

Abstract: Flutter solution is an eigenvalue problem which has variable parameters (such as air speed). In flutter mode identification and flutter prevention, the correspondence between the baseline and perturbed eigenvalues due to parameter variation should be determined accurately, and mode crossing should be avoided. For mode tracking in flutter solution p-k procedure, the forecast tracking method was developed, which was based on the perturbation theory of eigenvalues. The method used the baseline eigenvalues and the left and right eigenvectors to estimate perturbed eigenvalues, and sorted modes by their estimated values. The forecast tracking method was compared with two existing methods, one was similarity sorting method, the other was orthogonality check method. Two testing cases were used to validate the effectiveness of the methods. The numerical results show that the forecast tracking method is better than the existing methods in effects of mode tracking.

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