Effect of Various Excitation Conditions on Vibrational Energy in a Multi-Degree-of-Freedom Torsional System with Piecewise-Type Nonlinearities

Jong-Yun Yoon and Byeongil Kim
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Jong-Yun Yoon: Division of Mechanical and Automotive Engineering, Kongju National University, Cheonan-si, Chungcheongnam-do 314-701, Korea
Byeongil Kim: School of Mechanical Engineering, Yeungnam University, Gyeongsan-si, Gyeongsangbuk-do 712-749, Korea

Energies, 2015, vol. 8, issue 10, 1-22

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.

Keywords: harmonic balance method; multi-staged clutch damper; hysteresis; Poincaré map; quasi-periodic; piecewise-type nonlinearity; firing frequency (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2015
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