Titre du document / Document title

A superposition principle for nonlinear systems

Auteur(s) / Author(s)

ADAMS D. E. ⁽¹⁾ ; ALLEMANG R. J. ⁽¹⁾ ;

Affiliation(s) du ou des auteurs / Author(s) Affiliation(s)

⁽¹⁾ University of Cincinnati, Structural Dynamics Research Laboratory (SDRL), Cincinnati, Ohio, ETATS-UNIS

Résumé / Abstract

Nonlinear systems fail to satisfy the principle of linear superposition because when multiple external forces are applied, nonlinearities allow the forces to interact with one another and with the initial conditions of the system. Since these interactions create coupling between the linear and nonlinear dynamics, it is difficult to experimentally characterize nonlinear systems and identify accurate models of nonlinear dynamic behavior. This paper introduces a new principle of superposition for nonlinear systems that decouples the linear and nonlinear dynamics. The principle is based on a spatial perspective of nonlinearities as internal forces, which feedback through the analytical/experimental response degrees of freedom. From this perspective nonlinear systems are closed loop systems and linear systems are the corresponding open loop systems. The superposition principle is used to derive a new formulation for the frequency response function matrices of nonlinear systems and powerful multiple degree of freedom characterization and identification techniques for nonlinear systems. A companion paper presents applications of these new techniques.

Revue / Journal Title

SPIE proceedings series  

Source / Source

Congrès
IMAC XVIII : a conference on structural dynamics :   ( San Antonio TX, 7-10 February 2000 )
International modal analysis conference N^o18, San Antonio TX , ETATS-UNIS (07/02/2000)
2000  , vol. 4062 (2), pp. 702-710[Note(s) : XXXIV, 1910 p., ] (17 ref.) ISBN 0-912053-67-4 ;  Illustration : Illustration ;

Langue / Language

Anglais

Editeur / Publisher

Society of Photo-Optical Instrumentation Engineers, Bellingham, WA, INTERNATIONAL  (1988) (Revue)
Society for Experimental Mechanics, Bethel CT, ETATS-UNIS  (2000) (Monographie)

Mots-clés anglais / English Keywords

Non linear system ; Superposition principle ; Freedom degree ; Non linear vibration ; Spatial representation ; Time analysis ; Frequency response ; Modal analysis ; Input output analysis ; International conference ;

Mots-clés français / French Keywords

Système non linéaire ; Principe superposition ; Degré liberté ; Vibration non linéaire ; Représentation spatiale ; Analyse temporelle ; Réponse fréquence ; Analyse modale ; Analyse entrée sortie ; Congrès international ;

Mots-clés espagnols / Spanish Keywords

Sistema no lineal ; Principio superposición ; Grado libertad ; Vibración no lineal ; Representación espacial ; Análisis temporal ; Respuesta frecuencia ; Análisis modal ; Análisis entrada salida ; Congreso internacional ;

Localisation / Location

INIST-CNRS, Cote INIST : 21760, 35400009007551.1050