New upper bounds for excited vibration systems with applications of the differential calculus of norms

被引：3

作者：

Kohaupt, L. ^{[1
]}

机构：

[1] TFH Berlin, FB 2, D-13353 Berlin, Germany

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2007年 / 84卷 / 07期

关键词：

nonlinear dynamical system; excited system; vibration model; upper bound; differential calculus of norms;

D O I：

10.1080/00207160701288865

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In an earlier paper, the author introduced new upper bounds for free linear and nonlinear vibration systems; to compute the best upper bounds, the differential calculus of norms was applied. In the present paper, this work is continued for the corresponding excited systems. Some new techniques and ideas are involved. The results in the applications cannot be obtained by the methods used so far.

引用

页码：1035 / 1057

页数：23

共 23 条

[1]

[Anonymous], NICHTLINEARE SCHWING

[2] Higher order logarithmic derivatives of matrices in the spectral norm [J].