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一类基于颤振行列式的颤振分析新方法
引用本文:谷迎松,杨智春,王巍.一类基于颤振行列式的颤振分析新方法[J].航空动力学报,2009,24(4):815-818.
作者姓名:谷迎松  杨智春  王巍
作者单位:西北工业大学 航空学院, 西安 710072
基金项目:国家自然科学基金(10672135);;教育部新世纪优秀人才支持计划(NCET-04-0965)
摘    要: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. 

关 键 词:颤振行列式    颤振    模最小特征值    颤振特征向量
收稿时间:2008/4/23 0:00:00
修稿时间:1/1/2009 12:00:00 AM

New type of flutter solution based on flutter determinant
GU Ying-song,YANG Zhi-chun and WANG Wei.New type of flutter solution based on flutter determinant[J].Journal of Aerospace Power,2009,24(4):815-818.
Authors:GU Ying-song  YANG Zhi-chun and WANG Wei
Institution:School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China
Abstract: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 ...
Keywords:flutter determinant  flutter(aerodynamics)  minimum modulus eigenvalue  flutter eigenvector
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