Response of a non-linear system with strong damping to multifrequency excitations
type: Item
instance of: scholarly article
title: Response of a non-linear system with strong damping to multifrequency excitations
zbMATH Open document ID: 0847.70017
DOI: 10.1007/BF00795251
author: Yanyan Li
published in: Archive of Applied Mechanics
publication date: 1996-06-10T00:00:00Z
review text: A new asymptotic calculation method is presented for a class of nonlinear nonautonomous vibration systems with multiple external periodic interferences. Simple calculation formulae for an asymptotic solution for resonance and off-resonance vibration are derived. The paper is concerned with a vibration system representing a class of nonlinear oscillators. Consequently, the calculation of a class of nonlinear oscillators is routinized. Two different Duffing equations are verified which shows that the results are completely in accordance with known solutions.
Mathematics Subject Classification ID: 70K30
zbMATH DE Number: 873796
zbMATH Keywords: strong damping
zbMATH Keywords: asymptotic calculation method
zbMATH Keywords: nonautonomous vibration systems
zbMATH Keywords: Duffing equations
MaRDI profile type: Publication
cites work: Perturbation Theory for Damped Nonlinear Oscillations
cites work: Q3909315
cites work: Q3851672
cites work: Q3895818
full work available at URL: https://doi.org/10.1007/bf00795251
OpenAlex ID: W2067076797
description: scientific article; zbMATH DE number 873796