On perturbation behaviour in non‐linear dynamics

authored by

C. Carstensen, Peter Wriggers

Abstract

The static bifurcation criterion, i.e. singularity of the tangential stiffness matrix, is discussed in the sense of non‐linear dynamics since it is sometimes used in the engineering literature. In this paper the connection between static stability, i.e. that the tangential stiffness matrix is positive‐definite, and insensitivity, i.e. local damping of small perturbations, is proved. Since, in general, there is no connection between insensitivity and asymptotic stability, the concept of sensitivity cannot replace the classical stability theory of motion.

External Organisation(s)

Technische Universität Darmstadt

Type

Article

Journal

Communications in Numerical Methods in Engineering

Volume

9

Pages

165-175

No. of pages

11

ISSN

1069-8299

Publication date

02.1993

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Software, Modelling and Simulation, Engineering(all), Computational Theory and Mathematics, Applied Mathematics

Electronic version(s)

https://doi.org/10.1002/cnm.1640090210 (Access: Unknown)

 

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