Experiments on Nonlinear Dynamic Behavior of an Oscillator With Clearance and Periodically Time-Varying Parameters

Abstract

A number of experiments on a physical system with clearance having combined parametric and external forcing excitation are presented. The data demonstrate several nonlinear phenomena that exist in periodically excited oscillators subject to clearance at a contact interface. Jump discontinuities in forced response curves are shown to exist and subharmonic resonances which are formed by period-n (nT) motions with n ≥ 2 are demonstrated. Long-period subharmonic motions with periods as long as nine times the excitation period are reported. Finally, several cases of measured chaotic motions are also illustrated through time-traces, phase portraits, Fourier spectra, and Poincare plots which form strange attractors.

On the Modelling of Spur and Helical Gear Dynamic Behaviour

“…A plethora of dynamic models can be found in the literature often relying on widely different hypotheses. In contrast, experimental results are rather sparse and there is certainly an urgent need for validated models beyond the classic results of Munro (1962), Gregory et al (1963), Kubo (1978), Küçükay (1984 &87), Choy et al (1989), Cai & Hayashi (1994), Kahraman & Blankenship (1997), Baud & Velex (2002), Kubur et al (2004), etc. especially for complex multi-mesh systems.…”

Dynamic Response Analysis of High-Speed Train Gearbox Housing Based on Equivalent Acceleration Amplitude Method

“…Also, because of the periodic variation of the meshing stiffness during the gear meshing process, the vibration caused by the internal dynamic excitation will transfer to the housing through transmission shaft and via bearing. Researchers have done a lot of studies on the dynamic performance of gearbox [3] [4] [5]. However, these researchers mainly have focused on the traditional mechanical field, while there are not many studies on vibration of high-speed train gearbox.…”

Nonlinear Vibration in Gear Systems

“…Recently, their regular and chaotic vibrations have been predicted theoretically and examined experimentally [1,2,3,4,5,6,7]. The theoretical description of this phenomenon has been based mainly on single degree of freedom models [1,2,3,4,5,6,8] or multi degree models neglecting backlash [9,10]. This paper examines the possibility of taming chaotic vibrations and reducing the amplitude by nonfeedback control methods.…”