This article presents a study on the transient dynamic responses of engagement process of one-way clutch using variable rectangular cross-section torsional spring, which is usually installed on the end of engine for preventing torque being transmitted back. A 2-degree-of-freedom torsional dynamic model is proposed in this article to study the engagement process of clutch under two conditions. Due to the variation of parameters, the torque transfer of the wrap–spring clutch during engagement is described by a multi-parameter equation. The torque transmitted by clutch during engagement process has been described by two phases, spring expanding and spring locking. Physical parameters of spring determining the torque during expanding are discussed. To verify the model, a dynamic experiment on clutch engagement is conducted.
As a torsion element, the analysis of mechanical characteristics of torsion springs is critical to clutch design. Thispaper investigates the stress and deformation of torsion springs of spring-overrunning clutches by means of spatialcurved beam theory, which fully takes account for the geometric nonlinearity and the initial curvature of the spring.The geometry of the spring before and after deformation is described by two Euler angles and three coordinatesystems. Load and displacement constraints of torsion springs under real clutch operating conditions are analyzedand incorporated into the spring stress and deformation analysis. The numerical solution of this boundary valueproblem is carried out by the multiple shooting method and proved to be accurate by comparison. Moreover, thispaper presents a method for calculating the torsional stiffness of springs, which can be applied to the analysis oftorsional springs with irregular dimensions.
The wedge-raceway contact mechanical model, considering centrifugal force of wedge and the eccentricity of the inner ring and the outer ring of the one-way clutch, is established based on Hertz contact theory.The normal contact stiffness of the sprag one-way clutch is calculated by Newton iterative method.The influence of the structure parameters including the eccentricity of the inner ring and the outer ring, labeled as e, the number of the sprags, labeled as Z, the difference of the radius between the inner race of the outer ring and the outer race of the inner ring, labeled as J, and the working condition of the clutch including the working torque labeled as T and the working speed labeled as n, to the contact stiffness of the clutch has been analyzed.The results show that the smaller e, the smaller J, the much more number of Z and the higher torque T will result the bigger stiffness, and the influence of the working speed labeled as n can be negligible.
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.
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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