Chaos attitude motion and chaos control in an automotive wiper system

Chang, Shun-Chang; Lin, Hai

doi:10.1016/j.ijsolstr.2004.02.005

Cited by 22 publications

(7 citation statements)

References 16 publications

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“…[1][2][3][4][5][6] Furthermore, the squeal in brake systems, 7-10 intermittent motion of windshield wipers [11][12][13] and abrasion patterns appearing on tire surfaces [14][15][16] are also matters relating to stick-slip in sliding systems. Studies for individual systems are necessary when developing these systems.…”

Section: Introductionmentioning

confidence: 99%

Occurrence limit of stick‐slip: dimensionless analysis for fundamental design of robust‐stable systems

Nakano

Maegawa

2009

Lubrication Science

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In most practical mechanical systems, sliding surfaces are utilised under the assumption that they operate smoothly. Stick-slip motion can therefore be a serious nuisance that interferes with achieving high performance in mechanical systems. The present paper describes the nature of stick-slip based on an analysis of a 1-DOF sliding system. The dimensionless parameters controlling the stick-slip are clarifi ed by deriving the dimensionless forms of the governing equations. For a friction model that considers the dependence of the kinetic friction coeffi cient on the relative velocity, we fi nd three types of sliding systems with regard to stick-slip: the unstable system, the stable system and the robust-stable system. A criterion is proposed for the fundamental design of robust-stable systems; if a sliding system is robust stable, no matter how large a disturbance is, the energy of the disturbance is dissipated perfectly, and steady sliding without any vibration is ensured.

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Section: Introductionmentioning

confidence: 99%

Occurrence limit of stick‐slip: dimensionless analysis for fundamental design of robust‐stable systems

Nakano

Maegawa

2009

Lubrication Science

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“…This model, due to [12] where it has been proposed, studied in detail and called Frictional Impact Oscillator, reproduces the hopping phenomenon observed in many applications, such as the motion of a piece of chalk pushed over a blackboard or that of a robotic arm on a plane. The system can also be seen as a simplified model of the transverse section of a wiper blade moving on the windscreen of a car, a problem which originally motivates this work [3,8,23]. The investigation of the dynamics is useful to understand the causes of the hopping and, as a result, to suggest the appropriate remedies to avoid this unwanted motion.…”

Section: Introductionmentioning

confidence: 99%

Non-linear dynamics of a mechanical system with a frictional unilateral constraint

Lancioni

Lenci

Galvanetto

2009

International Journal of Non-Linear Mechanics

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We analyze the dynamics of a two-dimensional system constituted by two masses subjected to elastic, gravitational and viscous forces and constrained by a moving frictional mono-lateral surface. The model exhibits a time-varying dynamics capable of reproducing the hopping phenomenon, an unwanted phenomenon observed in many applications such as the motion of a robotic arm on a surface or that of a wiper on a windscreen. The system dynamics, besides being affected by geometrical non-linearities, has a non-smooth nature due to the impact and friction laws involved in the model. The complexity of the resulting equations and of the transition conditions require the problem to be solved numerically. Various periodic motions are found and the effect of varying the system parameters, in particular the friction coefficient, is investigated. Finally, simulations are used to gain some insight the behavior of the windscreen wiper

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“…Period-three motion appears in region III and period-n orbits exist in region I. Chang and Lin (2004) presented the phase portrait, the Poincare map, and the frequency spectrum which exhibit these behaviors in detail.…”

Section: Characteristics Of the System: Numerical Simulation Resultsmentioning

confidence: 96%

Dither signals with particular application to the control of windscreen wiper blades

Chang

Chen

2006

International Journal of Solids and Structures

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This study verifies chaotic motion of an automotive wiper system, which consists of two blades driven by a DC motor via the two connected four-bar linkages and then elucidates a system for chaotic control. A bifurcation diagram reveals complex nonlinear behaviors over a range of parameter values. Next, the largest Lyapunov exponent is estimated to identify periodic and chaotic motions. Finally, a method for controlling a chaotic automotive wiper system will be proposed. The method involves applying another external input, called a dither signal, to the system. Some simulation results are presented to demonstrate the feasibility of the proposed method.

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Chaos attitude motion and chaos control in an automotive wiper system

Cited by 22 publications

References 16 publications

Occurrence limit of stick‐slip: dimensionless analysis for fundamental design of robust‐stable systems

Occurrence limit of stick‐slip: dimensionless analysis for fundamental design of robust‐stable systems

Non-linear dynamics of a mechanical system with a frictional unilateral constraint

Dither signals with particular application to the control of windscreen wiper blades

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