Abstract
Dynamic behaviors in practical driveline systems for wind turbines or vehicles are inherently affected by multiple nonlinearities such as piecewise-type torsional springs. However, various excitation conditions with different levels of magnitudes also show strong relationships to the dynamic behaviors when system responses are examined in both frequency and time domains. This study investigated the nonlinear responses of torsional systems under various excitations by using the harmonic balance method and numerical analysis. In order to understand the effect of piecewise-type nonlinearities on vibrational energy with different excitations, the nonlinear responses were investigated with various comparisons. First, two different jumping phenomena with frequency up- and down-sweeping conditions were determined under severe excitation levels. Second, practical system analysis using the phase plane and Poincaré map was conducted in various ways. When the system responses were composed of quasi-periodic components, Poincaré map analysis clearly revealed the nonlinear dynamic characteristics and thus it is suggested to investigate complicated nonlinear dynamic responses in practical driveline systems.
Highlights
Practical driveline components in various mechanical systems such as wind turbines and vehicles inherently contain various nonlinearities, such as multi-staged clutch dampers, gear backlashes, and drag torques [1,2,3]
Raghothama and Narayanan [9] used the incremental harmonic balance method to obtain the periodic motions of a 3DOF nonlinear model of a geared rotor system subjected to parametric excitation under sinusoidal excitation
Shen et al [11] studied the dynamic behaviors of a spur gear pair by employing the incremental harmonic balance method
Summary
Practical driveline components in various mechanical systems such as wind turbines and vehicles inherently contain various nonlinearities, such as multi-staged clutch dampers, gear backlashes, and drag torques [1,2,3]. In order to investigate nonlinear dynamic responses in a simple mechanical system, many studies have been conducted using the harmonic balance method (HBM) [4,5,6,7,8,9,10,11,12]. Raghothama and Narayanan [9] used the incremental harmonic balance method to obtain the periodic motions of a 3DOF nonlinear model of a geared rotor system subjected to parametric excitation under sinusoidal excitation. Piecewise-type nonlinearities such as multi-staged clutch dampers will be employed to simulate the nonlinear dynamic behaviors in terms of relative motions in a simple driveline system model. No prior studies have systematically investigated the dynamic responses of the driveline system with respect to various types and levels of excitation conditions, and compared the results using HBM and numerical simulation. The simplest model is developed, with only necessary elements for describing the vibrational behavior remaining, while practical systems are very complicated, and it is utilized for expressing nonlinear characteristics and for performing parametric studies
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