Affiliation:
1. Institute B of Mechanics, University of Stuttgart, Pfaffenwaldring 9, 70550 Stuttgart, Germany
Abstract
In this paper response bounds of linear damped systems are reviewed and new response bounds are presented for free vibrations and forced vibrations under impulsive, step, and harmonic excitation. In comparison to the response bounds available in the literature, the ones presented here are not only closer to the exact responses, but are also simpler to compute. Previous bounds are given only on the Euclidean norm of the state vector or the displacement vector. Here, the response bounds are also given on individual coordinates, information which is more meaningful in engineering.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference16 articles.
1. Hu
B.
, and SchiehlenW., 1996a, “Eigenvalue, Frequency Response and Variance Bounds of Linear Damped Systems,” Eur. J. Mech., A/Solids, Vol. 15, pp. 617–646.
2. Hu
B.
, and SchiehlenW., 1996b, “Amplitude Bounds of Linear Forced Vibrations,” Archive of Applied Mechanics, Vol. 66, pp. 357–368.
3. Inman
D. J.
, and AndryA. N., 1980, “Some Results on the Nature of Eigenvalues of Discrete Damped Linear Systems,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 47, pp. 927–930.
4. Mu¨ller, P. C., 1977, Stabilita¨t und Matrizen, Springer, Berlin, pp. 171–172.
5. Mu¨ller
P. C.
, 1979, “Remarks on Vibrations of Damped Linear Systems,” Mech. Res. Comm., Vol. 6, pp. 7–15.
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献