Non-linear dynamics of a one-way clutch in belt–pulley systems

Zhu, Farong; Parker, Robert G.

doi:10.1016/j.jsv.2003.11.031

Cited by 48 publications

(35 citation statements)

References 33 publications

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“…The papers [3,5,24] adopt a finite element/contact mechanics method to analyze the nonlinear dynamic response of single-mesh and planetary gears. Zhu and Parker [25] use harmonic balance and continuation methods to investigate bufurcation and chaotic motions of a similar discontinuous nonlinearity. Theodossiades and Natisiavas [26] predict periodic steady state responses by using a piecewise linear technique and perturbation analysis.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of idler gear systems

Liu

Parker

2007

Nonlinear Dyn

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This work examines the nonlinear, parametrically excited dynamics of idler gearsets. The two gear tooth meshes provide two interacting parametric excitation sources and two possible tooth separations. The periodic steady state solutions are obtained using analytical and numerical approaches. Asymptotic perturbation analysis gives the solution branches and their stabilities near primary, secondary, and subharmonic resonances. The ratio of mesh stiffness variation to its mean value is the small parameter. The time of tooth separation is assumed to be a small fraction of the mesh period. With these stipulations, the nonsmooth separation function that determines contact loss and the variable mesh stiffness are reformulated into a form suitable for perturbation. Perturbation yields closed-form expressions that expose the impact of key parameters on the nonlinear response. The asymptotic analysis for this strongly nonlinear system compares well to separate harmonic balance/arclength continuation and numerical integration solutions. The expressions in terms of fundamental design quantities have natural practical application.

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Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of idler gear systems

Liu

Parker

2007

Nonlinear Dyn

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“…As the gear transmission system is the most common of the mechanical transmissions, many researchers have analysed the dynamic behaviour of the gear system for reducing noise and vibration. 2,3 But the dynamics behaviour of the oneway clutch with mechanical systems is only studied by some researchers.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of a Wrap-Spring One-Way Clutch in Spur Gear System and Its Parameters Effect

Cao¹,

Yan²,

Liu³

et al. 2017

IJAV

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A system with a three-degree-of-freedom (3-DOF) torsional dynamic model of a one-way clutch coupled with a spur gear pair is proposed. The one-way clutch is installed in front of the pinion and only allows the transmission of the torque from the engine. The torque is designed as a piecewise function while the inertia moment of the clutch is considered. The mesh time-varying stiffness of the teeth and gear backlash is seen nonlinear. In the analysis of the dynamic transmission error of the gear pair and twisted angle of the clutch, the torsional dynamic behaviour of the system is evaluated from 500 rpm to 45,000 rpm. To identify the effect of the parameter of a clutch on the dynamic response of the system, the effect of the torsion stiffness and damping ratio of the one-way clutch, including the inertia ratio of the clutch and pinion, is also analysed in this paper. The jump phenomenon, multi-jump occurrence, and subharmonic and harmonic resonance regions of the dynamic response system are observed.

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“…In such system, the one-way clutch is usually modeled as a two-degree-offreedom model, which is regarded as piecewise linear [19]. Zhu and Parker [20] used a two-degree-of-freedom model to examine the nonlinear dynamics of a two-pulley belt system with a one-way clutch through three methods of multiterm harmonic balance, numerical integration, and the bifurcation software AUTO separately. Zhu and Parker [21] also used the method of multiple scales to obtain the periodic solutions of a two-pulley belt system with clearance-type nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation and Chaos Analysis of the Spur Gear Transmission System for One-Way Clutch, Two-Shaft Assembly

Liu¹,

Yan²,

Cao³

et al. 2017

Shock and Vibration

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A four-degree-of-freedom nonlinear transverse and torsional vibration model of spur gear transmission system for one-way clutch, two-shaft assembly was developed, in which the one-way clutch was modeled as a piecewise nonlinear spring with discontinuous stiffness, considering the factors such as the time-varying gear mesh stiffness, static transmission error, and nonlinearity backlash. With the help of bifurcation diagrams, time domain response diagrams, phase plane diagrams, and Poincaré maps, the effects of the excitation frequency and the torsional stiffness of one-way clutch on the dynamic behavior of gear transmission system for one-way clutch, two-shaft assembly are investigated in detail by using Runge-Kutta method. Numerical results reveal that the system response involves period-1 motion, multiperiodic motion, bifurcation, and chaotic motion. Large torsional stiffness of one-way clutch can increase the impact and lead to instability in the system. The results can present a useful source of reference for technicians and engineers for dynamic design and vibration control of such system.

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Non-linear dynamics of a one-way clutch in belt–pulley systems

Cited by 48 publications

References 33 publications

Nonlinear dynamics of idler gear systems

Nonlinear dynamics of idler gear systems

Dynamic Analysis of a Wrap-Spring One-Way Clutch in Spur Gear System and Its Parameters Effect

Bifurcation and Chaos Analysis of the Spur Gear Transmission System for One-Way Clutch, Two-Shaft Assembly

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