Nonlinear numerical and experimental study on the second-order torsional and lateral vibration of driveline system connected by cardan joint

Abstract

In this article, a nonlinear dynamic model with five degrees-of-freedom for a four-wheel-drive vehicle driveline connected by a cardan joint, including dynamic intersection angle, nonconstant velocity, and additional moment caused by the cardan joint, is established by using the Lagrange method to analyze the driveline coupling vibration in both torsional and lateral directions. High-order Runge–Kutta algorithm is applied to solve the differential equations and to calculate transient responses of the driveline rotors under acceleration condition. The color maps and second-order vibration of the driveline are acquired by frequency spectrum analysis and order tracking analysis, respectively. The second-order vibration and noise of the driveline and vehicle interior caused by the cardan joint is validated by vehicle experimental results and reduced effectively by decreasing intersection angle of the cardan joint under the operational condition. Moreover, application of a flexible coupling instead of the cardan joint significantly reduces the second-order vibration but simultaneously generates low-level third-order vibration.

Vibrations of Misaligned Rotor System with Hysteretic Friction Arising from Driveshaft–Stator Contact under Dispersed Viscous Fluid Influences

“…The amplitude of each frequency component varies nonlinearly and, at a certain speed, there is a continuous spectrum component evident in the three-dimensional spectrum. Contrary to the results in [5], the vibration response demonstrated that the second-order vibration and noise generated by the Cardan joint can be decreased effectively by considering the effects of the fluid forces. In summary, nonlinear fluid forces have an important influence on the stable operation and dynamic characteristics of the driveshaft system.…”

“…In this regard, the authors performed the Lagrange formalism to analyse the vibration of the driveline coupling in the torsional and lateral directions. Their study showed that the second-order vibration and noise are generated by the Cardan joint, and the noise can be decreased effectively by reducing the intersection angle of the Cardan joint [5]. Several studies of flexible Cardan shaft instabilities have been conducted to shed more light on the dynamic behaviour of the lateral and torsional vibration caused by the Cardan joint on a vehicle's driveline, except for fault diagnosis in the fluid domain.…”

Kinematics of Hooke’s Joint

“…Дослідженню та конструюванню шарнірів нерівних кутових швидкостей присвячена значна кількість робіт. В них розглядаються питання, пов'язані зі структурою, геометричними і кінематичними параметрами універсального шарніра [1][2][3][4], присвячені дослідженню його динаміки [4][5][6][7][8][9][10][11][12][13], надійності [13,14], а також питання, які орієнтовані на конструювання та розрахунок карданних передач [15,16]. Незважаючи на різну направленість робіт, практично кожне дослідження шарніра передбачає кінематичний аналіз і грунтуєть-ся на його результатах.…”

Tribological Behavior and Microstructural Analysis of Atmospheric Plasma Spray Deposited Thin Coatings on Cardan Cross Spindles

“…To ensure a relative steady angular velocity, cardan joints are coupled in pairs, composing the so-called double cardan joint. In AWD cars, this transmission is subjected to the maximum motor torque, high dynamic loadings [ 2 , 4 ], and high torsional and lateral vibrations [ 5 , 6 ]. There are various AWD driveline configurations, presenting permanently engaged cardan joints or engaged “on-demand”, as in off-road hikes.…”