𝔖 Bobbio Scriptorium
✦   LIBER   ✦

APPLICABILITY CONDITIONS OF A NON-LINEAR SUPERPOSITION TECHNIQUE

✍ Scribed by F. Pellicano; F. Mastroddi

Book ID
102609975
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
419 KB
Volume
200
Category
Article
ISSN
0022-460X

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✦ Synopsis

The analytical conditions for the applicability of a Non-linear Superposition Technique (NST) are established by using the Normal Form Method (NFM). The superposition technique represents the extension of modal analysis to weakly non-linear vibration systems. In this paper it is shown that the NST leads to a non-uniform perturbation expansion for the solution of dynamical systems when some special non-linear terms are present in the dynamical system. An analytical proof for general dynamical systems and a numerical application to a simple mechanical system is included in the paper.

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