Subharmonic response of linear vibroimpact system with fractional derivative damping to a randomly disrobed periodic excitation
type: Item
instance of: scholarly article
title: Subharmonic response of linear vibroimpact system with fractional derivative damping to a randomly disrobed periodic excitation
zbMATH Open document ID: 1394.70053
DOI: 10.1155/2015/208096
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The subharmonic response of single-degree-of-freedom vibroimpact oscillator with fractional derivative damping and one-sided barrier under narrow-band random excitation is investigated. With the help of a special Zhuravlev transformation, the system is reduced to one without impacts, thereby permitting the applications of asymptotic averaging over the period for slowly varying random process. The analytical expression of the response amplitude is obtained in the case without random disorder, while only the approximate analytical expressions for the steady-state moments of the response amplitude are obtained in the case with random disorder. The effects of the fractional order derivative term, damping term, random disorder, and the coefficient of restitution and other system parameters on the system response are discussed. Theoretical analyses and numerical simulations show that fractional derivative makes both the system damping and stiffness coefficients increase, such that it changes the system parameters region at which the response amplitude reaches the maximum. The system energy loss in collision is equivalent to increasing the damping coefficient of the system. System response amplitude will increase when the excitation frequency is close to the resonant frequency and will decay rapidly when the excitation frequency gradually deviates from the resonance frequency.
Mathematics Subject Classification ID: 70J99
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A36
zbMATH DE Number: 6925772
author: H. W. Rong
author: Xiangdong Wang
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/208096
OpenAlex ID: W1937352431
Wikidata QID: Q59117616
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description: scientific article; zbMATH DE number 6925772