The analytical conditions for the applicability of a Non!linear Superposition Technique"NST# are established by using the Normal Form Method "NFM#[ The superpositiontechnique represents the extension of modal analysis to weakly non!linear vibrationsystems[ In this paper it is shown that the NST leads to a non!uniform perturbationexpansion for the solution of dynamical systems when some special non!linear terms arepresent in the dynamical system[ An analytical proof for general dynamical systems anda numerical application to a simple mechanical system is included in the paper[

Applicability conditions of a Nonlinear Superposition Technique / Pellicano, Francesco; F., Mastroddi. - In: JOURNAL OF SOUND AND VIBRATION. - ISSN 0022-460X. - STAMPA. - 200:(1997), pp. 3-14.

Applicability conditions of a Nonlinear Superposition Technique

PELLICANO, Francesco;
1997-01-01

Abstract

The analytical conditions for the applicability of a Non!linear Superposition Technique"NST# are established by using the Normal Form Method "NFM#[ The superpositiontechnique represents the extension of modal analysis to weakly non!linear vibrationsystems[ In this paper it is shown that the NST leads to a non!uniform perturbationexpansion for the solution of dynamical systems when some special non!linear terms arepresent in the dynamical system[ An analytical proof for general dynamical systems anda numerical application to a simple mechanical system is included in the paper[
200
3
14
Applicability conditions of a Nonlinear Superposition Technique / Pellicano, Francesco; F., Mastroddi. - In: JOURNAL OF SOUND AND VIBRATION. - ISSN 0022-460X. - STAMPA. - 200:(1997), pp. 3-14.
Pellicano, Francesco; F., Mastroddi
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/456440
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