Weakly nonlinear systems: Modeling and experimental methods
Book chapter, 2020

The prior chapter presented rigorous theory and methods for nonlinear systems, which is necessary in general because many nonlinear systems exhibit strong modal coupling due to the nonlinearity; this is commonly the case for the geometrically nonlinear structures that were the focus of that chapter. However, one of the most common sources of nonlinearity in built-up structures is the joints, and in many cases, these introduce only a weak stiffness nonlinearity together with a significant damping nonlinearity. In this case, and in many others that are relevant to industry, one can obtain good estimates of the response of the structure using a weakly nonlinear model in which the linear modes of the structure are presumed to be preserved and coupling between modes is neglected. This chapter provides a brief introduction to these concepts.—Chapter Authors: Randall Mayes and Matt Allen.


Matthew S. Allen

University of Wisconsin Madison

Daniel J. Rixen

Technical University of Munich

Maarten van der Seijs

Vibes Technology

Paolo Tiso

Swiss Federal Institute of Technology in Zürich (ETH)

Thomas Abrahamsson

Chalmers, Mechanics and Maritime Sciences, Dynamics

Randall L. Mayes

Sandia National Laboratories

CISM International Centre for Mechanical Sciences, Courses and Lectures


Subject Categories

Applied Mechanics

Other Physics Topics

Control Engineering



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Latest update

4/3/2020 9