摘要
将非概率凸模型理论与摄动理论相结合，通过有界不确定参数结构的特征值问题，对凸模型理论的一次近似算法作出一种改进．改进后的算法由于在计算中不用特征值导数，与Ｅｌｉｓｈａｋｏｆ的算法相比，不仅拓广了凸模型理论的应用范围，而且还可提高算法的计算效率．
In terms of the eigenvalue problem with uncertain parameters,by means of non probabilistic,convex modeling combined with perturbation theory, an improvement is made on the first order approximate solution inconvex models of uncertainties. Without calculating the derivative of eigenvalues, the improved method not only can widen application of convex modeling, but also can greatly increase the efficiency ofcomputations.
出处
《力学学报》
EI
CSCD
北大核心
1997年第4期476-480,共5页
Chinese Journal of Theoretical and Applied Mechanics
基金
博士后科学基金
国家杰出青年科学基金
关键词
有界不确定参数
凸模型理论
摄动
结构振动
uncertain but bounded parameters, eigenvalues, convex set theory,perturbation, first order approximetion
