Optimal Design Methodology of Maxwell–Coulomb Friction Damper

The optimal design methodology for a Maxwell–Coulomb friction damper is proposed to minimize the resonant vibration of dynamic structures. The simple Coulomb friction damper has the problem of zero or little damping effect of the vibration of the spring–mass dynamic system at resonance. This problem...

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Main Authors: Chun-Nam Wong, Wai-On Wong
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Vibration
Subjects:
Online Access:https://www.mdpi.com/2571-631X/8/2/25
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author Chun-Nam Wong
Wai-On Wong
author_facet Chun-Nam Wong
Wai-On Wong
author_sort Chun-Nam Wong
collection DOAJ
description The optimal design methodology for a Maxwell–Coulomb friction damper is proposed to minimize the resonant vibration of dynamic structures. The simple Coulomb friction damper has the problem of zero or little damping effect of the vibration of the spring–mass dynamic system at resonance. This problem is solved in the case of the Maxwell–Coulomb friction damper, which is formed by combining a Coulomb friction damper with a spring element in series. However, the design and analysis of the Maxwell–Coulomb friction damper become much more complicated. The optimal design methodology for this nonlinear damper is proposed in this article. The nonlinear equations of motion of the proposed damper are modelled, and its hysteresis loop can be constructed by combining four different cases of stick–slide motion. Motion responses of the turbine blade with the proposed damper are solved by a central difference solver. Optimal paths of damping and stiffness ratios are determined by the central difference Newton search method. The optimal experimental design is ascertained using a prototype damper test. Close correlation with its numerical simulations is observed in our hysteresis loop comparison. The performance of the proposed damper is also compared to that of a viscous damper in the seismic response design of adjacent single-story buildings.
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spelling doaj-art-14a673efc4b643c5bafbe65bdbe1c32a2025-08-20T03:26:56ZengMDPI AGVibration2571-631X2025-05-01822510.3390/vibration8020025Optimal Design Methodology of Maxwell–Coulomb Friction DamperChun-Nam Wong0Wai-On Wong1Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hong Kong, ChinaDepartment of Mechanical Engineering, The Hong Kong Polytechnic University, Hong Kong, ChinaThe optimal design methodology for a Maxwell–Coulomb friction damper is proposed to minimize the resonant vibration of dynamic structures. The simple Coulomb friction damper has the problem of zero or little damping effect of the vibration of the spring–mass dynamic system at resonance. This problem is solved in the case of the Maxwell–Coulomb friction damper, which is formed by combining a Coulomb friction damper with a spring element in series. However, the design and analysis of the Maxwell–Coulomb friction damper become much more complicated. The optimal design methodology for this nonlinear damper is proposed in this article. The nonlinear equations of motion of the proposed damper are modelled, and its hysteresis loop can be constructed by combining four different cases of stick–slide motion. Motion responses of the turbine blade with the proposed damper are solved by a central difference solver. Optimal paths of damping and stiffness ratios are determined by the central difference Newton search method. The optimal experimental design is ascertained using a prototype damper test. Close correlation with its numerical simulations is observed in our hysteresis loop comparison. The performance of the proposed damper is also compared to that of a viscous damper in the seismic response design of adjacent single-story buildings.https://www.mdpi.com/2571-631X/8/2/25Maxwell–Coulomb friction damperstick–slide hysteresiscentral difference ODE solvertransmissibility contour Newton searchturbine blade motion responseadjacent-building seismic design
spellingShingle Chun-Nam Wong
Wai-On Wong
Optimal Design Methodology of Maxwell–Coulomb Friction Damper
Vibration
Maxwell–Coulomb friction damper
stick–slide hysteresis
central difference ODE solver
transmissibility contour Newton search
turbine blade motion response
adjacent-building seismic design
title Optimal Design Methodology of Maxwell–Coulomb Friction Damper
title_full Optimal Design Methodology of Maxwell–Coulomb Friction Damper
title_fullStr Optimal Design Methodology of Maxwell–Coulomb Friction Damper
title_full_unstemmed Optimal Design Methodology of Maxwell–Coulomb Friction Damper
title_short Optimal Design Methodology of Maxwell–Coulomb Friction Damper
title_sort optimal design methodology of maxwell coulomb friction damper
topic Maxwell–Coulomb friction damper
stick–slide hysteresis
central difference ODE solver
transmissibility contour Newton search
turbine blade motion response
adjacent-building seismic design
url https://www.mdpi.com/2571-631X/8/2/25
work_keys_str_mv AT chunnamwong optimaldesignmethodologyofmaxwellcoulombfrictiondamper
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