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Level Crossing Probabilities for Cyclostationary Processes with Two Frequencies in Marine Diesel Engine Shafting Systems
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Abstract
A solution is proposed to the upcrossing problem for a stress of a special form encountered in probabilistic torsional vibration analysis of marine Diesel engine shafting systems. For the case that two engine criticals occur at the same engine speed, the stress is modeled as a cyclostationary random process with two frequencies. An equivalent stationary process is defined, requiring that its envelope process has the same upcrossing rate as the envelope of the original cyclostationary random process. It is assumed that both processes have the same probability of upcrossing a specific threshold in a given time interval. Numerical implementation shows the applicability and efficiency of the method.
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Lyridis, D., Perakis, A., and Parsons, M., "Level Crossing Probabilities for Cyclostationary Processes with Two Frequencies in Marine Diesel Engine Shafting Systems," SAE Technical Paper 950731, 1995, https://doi.org/10.4271/950731.Also In
References
- Nikolaidis, E. Perakis, A.N. Parsons, M.G. “Torsional Vibration Analysis of Diesel Engine Shafting Systems: A Structural Reliability Approach,” Advanced Diesel Engineering Haddad, S.D. Ellis Horwood, Ltd. London 1988
- Nikolaidis, E. Perakis, A.N. Parsons, M.G. “Structural Reliability of Marine Diesel Engine Propulsion Shafting Systems,” Transactions of The Society of Naval Architects and Marine Engineers 93 1985 189 223
- Nikolaidis, E. Perakis, A.N. Parsons, M.G. “Probabilistic Torsional Vibration Analysis of a Motor Ship Propulsion Shafting System: The Input-Output Problem” Journal of Ship Research 31 1 41 52 March 1987
- Nikolaidis, E. Perakis, A.N. Parsons, M.G. “Probabilistic Torsional Vibration Analysis of a Marine Diesel Engine Shafting System: The Level Crossing Problem,” Journal of Applied Mechanics 56 953 959 December 1989
- Nikolaidis, E. Perakis, A.N. “Second Order Statistics and Discrete-Time Detection Modeling for Partially Saturated Processes,” Journal of the Acoustical Society of America 77 3 1078 1085 March 1985
- Perakis, A.N. Nikolaidis, E. Katzouros, E. “Closed-Form Approximations and Series Representations for Partially Saturated Ocean Acoustic Processes,” Journal of the Acoustical Society of America 83 4 April 1988
- Mansour, A.E. “Probabilistic Design Concepts in Ship Structural Safety and Reliability,” Transactions of the Society of Naval Architects and Marine Engineers 80 1972
- Ang, A. H.-S. “Structural Risk Analysis and Reliability-Based Design,” Journal of the Structural Division American Society of Civil Engineers 99 ST9 September 1973
- Mansour, A.E. Jan, H.Y. Zigelman, C.I. Chen, Y.N. Harding, S.J. “Implementation of Reliability Methods to Marine Structures,” Transactions of the Society of Naval Architects and Marine Engineers 92 1984
- Lyridis, D.V. Perakis, A.N. Parsons, M.G. “Probabilistic Torsional Vibration Analysis of a Marine Diesel Engine Shafting System,” Journal of Ship Research September 1994
- Lyridis, D.V. “Extensions to Structural Reliability Analysis of Marine Diesel Engine Shafting Systems,” Department of Naval Architecture and Marine Engineering, The University of Michigan May 1990
- Perakis A. N. Lyridis D. V. “Level Crossing Probabilities for Multipath Acoustic Processes with Bimodal Spectra,” Journal of the Acoustical Society of America 87 5 2122 2127
- Perakis, A.N. Lyridis, D.V. Anastassiadis, J.S. “Level Crossing Probabilities for Multipath Acoustic Processes with Bimodal Spectra: Two New Models,” Department of Naval Architecture and Marine Engineering, The University of Michigan December 1989
- Franks, L. Signal Theory Prentice Hall Englewood Cliffs, New Jersey 1969
- Ogura, H. “Spectral Representation of a Periodic Non stationary Random Process,” IEEE Transactions on Information Theory IT 17 2 March 1971
- Gardner, W. Franks L. “Characterization of Cyclostationary Random Signal Processes,” IEEE Transactions on Information Theory IT 21 1 January 1975
- Papoulis, A. Probability, Random Variables and Stochastic Processes McGraw-Hill 2nd 1984
- Cramer, H. Leadbetter, M.R. Stationary and Related Stochastic Processes John Wiley New York 1967
- Toro, R. Cornell, C.A. “Extremes of Gaussian Processes with Bimodal Spectra,” Journal of Engineering Mechanics 112 5 May 1986 465 484
- Rice, S.O. “The Mathematical Analysis of Random Noise,” Bell System Technical Journal 23 1944 282 332 24 1945 46 156
- Epstein, B. “The Distribution of Extreme Values in Samples whose Members are Subject to the Markov Chain Condition,” Annals of Mathematical Statistics 20 1949 590 594
- Epstein, B. “Correction to the Distribution of Extreme Values in Samples whose Members are Subject to the Markov Chain Condition,” Annals of Mathematical Statistics 1951 133 134