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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.
Flutter solution is a kind of eigenvalue problem of changing parameters such as airspeed.In the flutter modal identification and anti-flutter design, it is necessary to correctly determine the eigenvalues corresponding to the modal of each order Relation to avoid modal crossover.Aiming at the flutter pk method, a modal tracking technique based on eigenvalue perturbation theory is developed, that is, the predictive tracking method, which uses the eigenvalue and left and right eigenvector information to solve the next null Speed eigenvalue estimation, the eigenvalues are sorted by the estimator, and the predictive tracking method is compared with the similar sorting method and the orthogonal test method.The numerical results show that the predictive tracking method is more efficient than the similar sort method and orthogonal Test method has a better modal tracking effect.