Response of a mass-spring system subject to Coulomb damping and harmonic base excitation

The periodic response of a mass-spring system is studied and the behaviour described, including the creation of finite dwell periods. A parameter space investigation is conducted and a branch of behaviour with the space is explained. A new solution method is proposed for direct calculation of the st...

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Bibliographic Details
Published inInternational journal of solids and structures Vol. 193-194; pp. 527 - 534
Main Authors Riddoch, Daniel J., Cicirello, Alice, Hills, David A.
Format Journal Article
LanguageEnglish
Published New York Elsevier Ltd 01.06.2020
Elsevier BV
Subjects
Asymptotic methods
Asymptotic solution
Coulomb damping
Coulomb friction
Damping
Friction
Mass-spring systems
Mathematical analysis
Resonance
Steady state
Stick-slip motion
Coulomb damping
Steady-state
Friction
Asymptotic solution
Stick-slip motion
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Summary:The periodic response of a mass-spring system is studied and the behaviour described, including the creation of finite dwell periods. A parameter space investigation is conducted and a branch of behaviour with the space is explained. A new solution method is proposed for direct calculation of the steady-state response without calculating a transient phase. A new approach to the display of the steady-state response is given. Finally, the system behaviour near its resonance is explored and new asymptotic solutions are proposed for the response amplitude near resonance. The accuracy of these solutions is then determined by comparison to the true solution.
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content type line 14
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2020.02.037