摘要
研究特征值反问题的逆摄动的求解方法．根据广义特征值反问题理论和有限元分析法，以桁架结构特征值逆摄动为例，给出该逆摄动法较完善的理论基础及有关公式；给出若干逆摄动参数ε的取值方法．用本方法可以减少重分析．算例验证表明了本方法的可行性和有效性．
? The inverse perturbation method to the inverse solution of the general eigenvalue problem is further studied according to the theory of general eigenvalue and FEM, to make a complete basis taking truss structure for example. The method to select the inverse perturbation parameter ε is detailed. This procedure is characterized in reducing frequency analysis significantly. It also bears the merits in computing speed and precision. Illustrative examples for using this method in truss design with frequency constraints have been reported. It is also applicable to other inverse problems such as amplitudes of forced vibration.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
1998年第6期677-681,共5页
Journal of Dalian University of Technology
基金
国家自然科学基金
关键词
特征值
反问题
逆摄动
桁架结构
优化设计
eigenvalues
inverse problem
inverse perturbation
truss structure
