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

Abstract

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.

Study on nonlinear dynamics characteristics of dual speed dual clutch transmission system based on bond graph

“…A one-way clutch is a type of passive mechanical clutch that is restricted by its structural properties to only spinning in one direction [ 26 , 27 ]. Modeling the one-way clutch as a nonlinear spring with discontinuous stiffness, zero stiffness in the disengaged state and finite linear stiffness in the engaged state.…”

Bond Graph-Based Approach to Modeling Variable-Speed Gearboxes with Multi-Type Clutches

“…A one-way clutch is a mechanical clutch that is mainly composed of an inner ring, a circular array wedge, an outer ring, and a spring. Its structural characteristics prevent it from rotating in one direction, whereas the resistance when rotating in the other direction is negligible [27,28]. To simplify the modeling process, the one-way clutch in the present study was modeled as a nonlinear spring with discontinuous stiffness.…”

“…X = AX + BU (28) Here, A is a seven-order matrix containing all the coefficients of the state variable on the right-hand side of Equation ( 27). B is the matrix comprising the coefficients of the input variable on the right-hand side of Equation (27).…”

Wedge Design and Dynamic Characteristics Analysis of Unequal-Length Wedge Slant Support Clutch

“…Liu et al [10], considering factors such as the meshing stiffness of the time-varying gears, static transmission error, and nonlinear backlash, established the transmission system model of a double-shaft assembly of an inclined brace clutch; the dynamic response of the inclined-brace clutch under different operating conditions was studied. Yan et al [11] established a four-degree-of-freedom nonlinear transverse and torsional vibration model of a two-shaft system with a diagonally braced clutch and provided a solution for the dynamic design and vibration control of the system, but the dynamic characteristics of clutch dynamic engagement and disengagement were not studied. Wang [12] established a model of the center of gravity of a wedge block and studied its influence on the contact force, engagement, and release performance of an inclined-brace clutch.…”