Analysis of the periodic damping coefficient equation based on floquet theory

Fatemeh Afzali, Gizem D. Acar, Brian F. Feeny

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

Abstract

In this paper, we study the response of a linear differential equation, for which the damping coefficient varies periodically in time. We use Floquet theory combined with the harmonic balance method to find the approximate solution and capture the stability criteria. Based on Floquet theory the approximate solution includes the exponential part having an unknown exponent, and a periodic part, which is expressed using a truncated series of harmonics. After substituting the assumed response in the equation, the harmonic balance method is applied. We use the characteristic equation of the truncated harmonic series to obtain the Floquet exponents. The free response and stability characteristics of the damped system for a set of parameters are shown.

Original languageEnglish
Title of host publication29th Conference on Mechanical Vibration and Noise
ISBN (Electronic)9780791858226
DOIs
StatePublished - 2017
EventASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017 - Cleveland, United States
Duration: 6 Aug 20179 Aug 2017

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume8

Conference

ConferenceASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017
Country/TerritoryUnited States
CityCleveland
Period6/08/179/08/17

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