Multiple scales analysis of nonlinear oscillations of a portal frame foundation for several machines



Document title: Multiple scales analysis of nonlinear oscillations of a portal frame foundation for several machines
Journal: Journal of the Brazilian Society of Mechanical Sciences
Database: PERIÓDICA
System number: 000311994
ISSN: 0100-7386
Authors: 1
Institutions: 1Universidade de Sao Paulo, Departamento de Engenharia de Estruturas, Sao Paulo. Brasil
Year:
Season: Dic
Volumen: 21
Number: 4
Pages: 641-654
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract An analytical study of the nonlinear vibrations of a multiple machines portal frame foundation is presented. Two unbalanced rotating machines are considered, none of them resonant with the lower natural frequencies of the supporting structure. Their combined frequencies is set in such a way as to excite, due to nonlinear behavior of the frame, either the first anti-symmetrical mode (sway) or the first symmetrical mode. The physical and geometrical characteristics of the frame are chosen to tune the natural frequencies of these two modes into a 1:2 internal resonance. The problem is reduced to a two degrees of freedom model and its nonlinear equations of motions are derived via a Lagrangian approach. Asymptotic perturbation solutions of these equations are obtained via the Multiple Scales Method
Disciplines: Ingeniería
Keyword: Ingeniería mecánica,
Oscilaciones,
Modelos no lineales,
Estructuras,
Frecuencias naturales,
Movimiento
Keyword: Engineering,
Mechanical engineering,
Oscillations,
Nonlinear models,
Structures,
Natural frequencies,
Movement
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