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RESEARCH PAPERS

Probabilistic Torsional Vibration Analysis of a Marine Diesel Engine Shafting System: The Level Crossing Problem

[+] Author and Article Information
Efstratios Nikolaidis

Department of Aerospace and Ocean Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Va. 24061

Anastassios N. Perakis, Michael G. Parsons

Department of Naval Architecture and Marine Engineering, The University of Michigan, Ann Arbor, Mich. 48109

J. Appl. Mech 56(4), 953-959 (Dec 01, 1989) (7 pages) doi:10.1115/1.3176196 History: Received November 21, 1986; Revised November 16, 1988; Online July 21, 2009

Abstract

A probabilistic approach to the torsional vibration problem of a marine diesel engine shafting system has been developed. In this analysis, the shafting shear stress is found to be a Gaussian, harmonizable cyclostationary process with a harmonic series representation consisting of two complex conjugate components. In this paper, the level crossing problem for this stress process is studied. Two methods for estimating the probability that the stress exceeds a specified threshold at least once over a given time interval are presented. In the first method, a local maximum of the process is approximated by the value of the corresponding envelope at the time of occurrence of this maximum. A Markov-type condition is assumed to hold for the local maxima. The second method assumes that the maximum of the process over a reasonable number of cycles is approximately equal to that of the envelope process. The envelope crossings are assumed to constitute a Poisson process. The two methods are applied to estimate the upcrossing probability in various cases. The results of both approaches are found to be in good agreement with those from Monte Carlo simulation.

Copyright © 1989 by ASME
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