The effects of backlash and of speed-dependent friction on the stability of closed-cycle control systems

Tustin, A.

doi:10.1049/ji-2a.1947.0021

Cited by 111 publications

(83 citation statements)

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“…In our test rig, the value α = 1 is chosen as the more reasonable approach (Johanastrom and De Wit, 2008;Tustin, 1947), since α = 1 leads to better agreement between experimental and simulation results. The bristle friction law can be described in such a way that the bristles will deflect like springs at a tangential force, which gives rise to the friction force.…”

Section: Fundamental Theoretical Investigations Of Creep Groanmentioning

confidence: 99%

Theoretical and experimental investigations of the bifurcation behavior of creep groan of automotive disk brakes

Zhao

Gräbner

Wagner

2018

jtam

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There are several low frequency vibration phenomena which can be observed in automotive disk brakes. Creep groan is one of them provoking noise and structural vibrations of the car. In contrast to other vibration phenomena like brake squeal, creep groan is caused by the stick-slip-effect. A fundamental investigation of creep groan is proposed in this paper theoretically and experimentally with respect to parameter regions of the occurrence. Creep groan limit cycles are observed while performing experiments in a test rig with an idealized brake. A nonlinear model using the bristle friction law is set up in order to simulate the limit cycle of creep groan. As a result, the system shows three regions of qualitatively different behavior depending on the brake pressure and driving speed, i.e. a region with a stable equilibrium solution and a stable limit cycle, a region with only a stable equilibrium solution, and a region with only a stable limit cycle. The limit cycle can be interpreted as creep groan while the equilibrium solution is the desired vibration-free case. These three regions and the bifurcation behavior are demonstrated by the corresponding map. The experimental results are analyzed and compared with the simulation results showing good agreement. The bifurcation behavior and the corresponding map with three different regions are also confirmed by the experimental results. At the end, a similar map with the three regions is also measured at a test rig with a complete real brake.

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Section: Fundamental Theoretical Investigations Of Creep Groanmentioning

confidence: 99%

Theoretical and experimental investigations of the bifurcation behavior of creep groan of automotive disk brakes

Zhao

Gräbner

Wagner

2018

jtam

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“…According to references [23][24][25], the values of α should be in the range between 0.5 and 2. In this paper, α = 2 was chosen and used for both identification and validation.…”

Section: Resistive Forcementioning

confidence: 99%

Mathematical models and nonlinear dynamics of a linear electromagnetic motor

Gajek

Awrejcewicz

2018

Nonlinear Dyn

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The aim of this paper was to construct a mathematical model of a drive system with ironless permanent magnet synchronous linear motor and to animalize the influence of the magnetic field distribution function on the model's accuracy and ease of simulation computation. The studied motor employs an U-shaped stationary guideway with permanent magnets placed perpendicularly to the motor's direction of motion and a forcer with three sets of rectangular coils subjected to alternating external electrical voltage. The system's parameters are both mechanical (number of magnets and coils, size of magnets, distances between magnets, size of coils) and electromagnetic (auxiliary magnetic field, permeability, coil's resistance). Lorentz force allows for the transition from electromagnetic parameters to mechanical force, and Faraday's law of induction creates a feedback between the forcer's speed and coils voltage. An Ampere's model of permanent magnet is used to determine the function of auxiliary magnetic field distribution throughout the stator. Two simplified distribution functions are introduced and studied. During validation, external current function is applied to each coil (serving as excitation), while the displacement of forcer in time is the output function. Model parameters are found via genetic algorithms such that the numerical solution of the model best fits experimen-

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“…Bo and Pavelescu proposed a range of 0.5-1 for [23], while some other scholars considered = 1 or = 2 as reasonable [24,25]. The frictional force was directly related to the normal pressure.…”

Section: Representation Of the Braking Force Based On The Stribeckmentioning

confidence: 99%

Disc Brake Vibration Model Based on Stribeck Effect and Its Characteristics under Different Braking Conditions

Shu-gen

Liu

2017

Mathematical Problems in Engineering

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A 7-degree-of-freedom (DOF) vibration model of a fixed-caliper disc brake system was developed herein based on the Stribeck effect. Furthermore, a dynamometer brake test was conducted to determine the characteristic system parameters of the 7-DOF vibration model. This model was developed to study the effects of braking conditions, such as disc rotational speed and brake pressure on brake noise. The complex eigenvalues of the system were also calculated to analyze the brake model stability under different braking conditions. The acceleration time history diagrams and phase plots were obtained by solving the equations of the system. The numerical calculation results showed that the brake noise increased with an increasing braking force and a decreasing breaking speed. These numerical findings were verified by the results of the dynamometer tests.

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The effects of backlash and of speed-dependent friction on the stability of closed-cycle control systems

Cited by 111 publications

References 0 publications

Theoretical and experimental investigations of the bifurcation behavior of creep groan of automotive disk brakes

Theoretical and experimental investigations of the bifurcation behavior of creep groan of automotive disk brakes

Mathematical models and nonlinear dynamics of a linear electromagnetic motor

Disc Brake Vibration Model Based on Stribeck Effect and Its Characteristics under Different Braking Conditions

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