A power-form method for dynamic systems: investigating the steady-state response of strongly nonlinear oscillators by their equivalent Duffing-type equation
| Autor: | Daniel Olvera Trejo, Oscar Martínez-Romero, Santiago D. Puma-Araujo, Luis Manuel Palacios-Pineda, Alex Elías-Zúñiga |
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| Rok vydání: | 2021 |
| Předmět: |
Physics
Applied Mathematics Mechanical Engineering Mathematical analysis Isotropy Aerospace Engineering Equations of motion Ocean Engineering Elastomer 01 natural sciences Power (physics) Vibration Harmonic balance Transformation (function) Control and Systems Engineering 0103 physical sciences Compressibility Electrical and Electronic Engineering 010301 acoustics |
| Zdroj: | Nonlinear Dynamics. 104:3065-3075 |
| ISSN: | 1573-269X 0924-090X |
| DOI: | 10.1007/s11071-021-06461-9 |
| Popis: | This paper aims to apply a transformation method that replaces the elastic forces of the original equation of motion with a power-form elastic term. The accuracy obtained from the derived equivalent equations of motion is evaluated by studying the finite-amplitude damped, forced vibration of a vertically suspended load body supported by incompressible, homogeneous, and isotropic viscohyperelastic elastomer materials. Numerical integrations of the original equations of two oscillators described by neo-Hookean and Mooney–Rivlin viscohyperelastic elastomer material models, and their equivalent equations of motion, are compared to the frequency–amplitude steady-state solutions obtained from the harmonic balance and the averaging methods. It is shown from numerical integrations and approximate steady-state solutions that the equivalent equations predict well the original system dynamic response despite having higher system nonlinearities. |
| Databáze: | OpenAIRE |
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