Anisotropic vs. isotropic friction: New theoretical results verified experimentally exhibited by a horizontal pendulum on the rotating disk

IF 4.5 1区工程技术 Q1 ENGINEERING, MECHANICAL

Mechanism and Machine Theory Pub Date : 2025-03-28 DOI:10.1016/j.mechmachtheory.2025.106004

Adam Wijata, Jan Awrejcewicz, Krzysztof Witkowski

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引用次数: 0

Abstract

The paper presents the investigation of the dynamics of a horizontal pendulum on the rotating disk under isotropic and anisotropic friction. The studied system can serve as an archetypal system for the investigation of numerous practical problems, like disk brake design or clutch dynamics. A dimensionless mathematical model of the system is derived. Two potentially counterintuitive behaviors of the system are demonstrated and explained. For an isotropic system, it is shown that above certain critical disk rotational speed, systems transient response became oscillatory. An estimate for the non-oscillatory transient response time-constant is given. For the anisotropic friction case, the basic mechanism behind the periodic orbit is explained utilizing the reduced-order parametric model (ROPM) of the counterpart linearized system. It is shown, that for certain conditions, the analyzed system is analogical to a mass-variable damper oscillator with its end kinematically excited by a periodic velocity profile. The direction field of the nonlinear system is estimated with numerical computation. Both analytical and numerical findings are tested by experimental results carried out on a specially constructed dedicated laboratory stand.

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来源期刊

Mechanism and Machine Theory 工程技术-工程：机械

CiteScore

9.90

自引率

23.10%

发文量

450

审稿时长

20 days

期刊介绍： Mechanism and Machine Theory provides a medium of communication between engineers and scientists engaged in research and development within the fields of knowledge embraced by IFToMM, the International Federation for the Promotion of Mechanism and Machine Science, therefore affiliated with IFToMM as its official research journal. The main topics are: Design Theory and Methodology; Haptics and Human-Machine-Interfaces; Robotics, Mechatronics and Micro-Machines; Mechanisms, Mechanical Transmissions and Machines; Kinematics, Dynamics, and Control of Mechanical Systems; Applications to Bioengineering and Molecular Chemistry