提出了一类基于颤振行列式的颤振分析新方法,分别采用颤振行列式值的模,或颤振矩阵的模最小特征值这两个指标的频域下界,来直接确定颤振临界点.根据这两个指标在颤振临界点附近取极小值的特点,编制了相应的算法.数值算例验证了这两个指标在确定颤振临界点时的等价性.该方法与传统颤振分析方法的结果精度相当,并且根据颤振临界点处的颤振特征向量还可以定量给出各模态参与颤振耦合的程度.
A new flutter solution method was presented based on flutter determinant as a combination of the concept of flutter and matrix analysis theories.This method could locate the flutter boundary by directly computing indicators,which include the modulus of flutter determinant and the minimum module eigenvalue of flutter matrix.These indicators were proven equivalent with each other at the critical flutter point.The corresponding algorithm was developed for flutter solution by frequency sweeping approach.It was ...