Doctor of Philosophy, The Ohio State University, 2013, Mechanical Engineering
This scholarly research investigates the transient vibration amplification problem in nonlinear torsional systems with application to vehicle engine-clutch damper-transmission system. This particular system includes several discontinuous nonlinear elements such as multi-staged (piecewise linear) stiffness, clearance(s) in the gear pair(s), multi-staged hysteresis and preload. The torsional system is excited by the engine start-up (or shut-down) process with an instantaneous firing frequency from the engine. Transient vibration amplification is observed when the speed passes through the torsional vibration resonance(s). The role of abovementioned nonlinear components in influencing the amplification level is not well understood. Therefore, the development of new or improved analytical, semi-analytical and numerical solutions of a nonlinear system, in time (or order) domain, is the focus of this dissertation.
First, the problem is formulated in the context of a generic single-degree-of-freedom torsional system. A new closed form solution of the linear torsional oscillator, given motion input with an instantaneous excitation frequency term, is found. The solution for a linear system is able to approximate the transient response (such as peak to peak value of the amplified displacement) of a piecewise linear oscillator under a rapidly varying frequency. Analytical and semi-analytical methods are utilized next to find the transient envelope and to quantify the amplification level. Second, new closed form solutions of the transient envelopes of torsional displacement, velocity, and acceleration for a linear damped oscillator are developed and verified in the order domain. Analytical approximations of the peak frequency and the corresponding maximum amplification are mathematically derived which are also verified by comparing with previously reported analytical or empirical formulas. Dynamic characteristics of a nonlinear torsional path during the non-stationary (open full item for complete abstract)
Committee: Rajendra Singh (Advisor); Ahmet Selamet (Committee Member); Mo-How Herman Shen (Committee Member); Junmin Wang (Committee Member); Jason Dreyer (Committee Member)
Subjects: Mechanical Engineering