On the Use of Linear and Nonlinear Controls for Mechanical Systems Subjected to Friction-Induced Vibration

Abstract

Friction-Induced Vibration and noisE (FIVE) is still a complex and nonlinear physical phenomenon which is characterized by the appearance of instabilities and self-sustained vibrations. This undesirable vibrational phenomenon is encountered in numerous industrial applications and can cause major failures for mechanical systems. One possibility to limit this vibration phenomenon due to the appearance of instabilities is to add a controller on the system. This study proposes to discuss the efficiency but also limitations of an active control design based on full linearization feedback. In order to achieve this goal, a complete study is performed on a phenomenological mechanical system subjected to mono or multi-instabilities in the presence of friction. Transient and self-excited vibrations of the uncontrolled and controlled systems are compared. More specifically, contributions of linear and nonlinear parts in the control vector for different values of friction coefficient are investigated and the influence of the control gain and sensitivity of the controller to the signal-to-noise ratio are undertaken.

Analytical Scheme of Stability Analysis for 4-DoF Mechanical System Subjected to Friction-Induced Vibrations

“…the damping rate is 20 percent higher. In this regard, the future work will be related to the assessment of the Lyapunov exponents of the system (10) and the study of the influence the structure of the matrix D on the rate of damping of system oscillations. is positive, then dis 2 is negative.…”

“…This problem attracted great attention of scientists in the field of structural mechanics in the second half of the last century, and numerous studies were devoted to the theoretical analysis of this problem [2][3][4][5][6]. Circulatory forces are present in many mechanical systems and often lead to undesirable effects such as self-excited vibrations in rotor dynamics [7,8], friction-induced vibrations [9,10], squeal vibration Gisela Pujol Vazquez and Leonardo Acho Zuppa have contributed equally to this work. in drum brakes [11,12], flutter in aeroelastic systems [13,14], the Levitron system [15] and others.…”

Neutralization of the Destabilization Effect Caused by Small Damping Force in Non-conservative System

“…In paper [9], some optimized algorithms were suggested to reduce the computation time and obtain stability conditions in a simpler form. Regarding various mechanical applications, we mention the friction-induced vibrations [10,11], squeal vibration in drum brakes [12,13], the Levitron system [14], aeroelastic systems [15], the effect of rocket propulsion as a source of a follower load acting on a beam [16] and others.…”

“…Later on, it was developed and investigated in several papers by Sinou et al (e.g. [10,11]). This model consists of a mass m located on a moving band (Fig.…”

PFC-Based Control of Friction-Induced Instabilities in Drive Systems

“…[5][6][7][8][9][10][11][12]. To solve the problem of these nonlinear oscillations, a number of control-based approaches have been presented in the literature, e.g., PD control [13,14], linear robust control [15], indirect adaptive control [16], feedback linearization [17], sliding-mode control [18], and backstepping control [19]. In the majority of the works, it is considered that oscillations in a working element of the mechanism or machine can be measured or estimated.…”