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Technical Brief

On the Passive Control of Friction-Induced Instability due to Mode Coupling

[+] Author and Article Information
Alborz Niknam

Department of Mechanical Engineering and Energy Processes, Southern Illinois University Carbondale, 1263 Lincoln Drive, Carbondale, IL 62901-6899
alborz@siu.edu

Kambiz Farhang

ASME Member, Department of Mechanical Engineering and Energy Processes, Southern Illinois University Carbondale, 1263 Lincoln Drive, Carbondale, IL 62901-6899
farhang@siu.edu

1Corresponding author.

ASME doi:10.1115/1.4043121 History: Received March 12, 2018; Revised March 05, 2019

Abstract

The present study deals with the investigation of a mass-spring absorber as a passive controller for a coupled two degree-of-freedom (DOF) oscillator to suppress friction-induced mode-coupling instability. The primary system is acted upon by a friction force of a moving belt and static coupling of the oscillator provided with an oblique spring. The combined system, original system plus absorber, response is governed by two sets of differential equations to include contact and loss of contact between the mass and the belt. Therefore, the model accounts for two sources of nonlinearity in the system, (1) discontinuity in friction force and (2) intermittent loss of contact. Friction coefficient and absorber orientation are used to define planar parameter space for stability analysis. For various mass ratios, the parameter space is divided into stable and unstable zones by defining stability boundaries. In general, an absorber expands the stability region. The addition of the absorber is found to stabilize an otherwise unstable system. It provides a significant reduction in transient response overshoot and settling time. Incorporation of the absorber also prevents mass-belt separation, thereby suppressing the belt-speed-overtake by the primary mass.

Copyright (c) 2019 by ASME
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