Communications - Scientific Letters of the University of Zilina 2001, 3(1):35-43 | DOI: 10.26552/com.C.2001.1.35-43
Contribution to the Analysis of Non-Stationary Random Vibration of Vehicles
- 1 Department of Mechanics and Strength, Faculty of Mechanical Engineering, University of Zilina, Slovak Republic
The goal of the paper is to include non-stationary random vibration excitation into the "classic" statistical solution of vehicles. Other vehicle parameters are the deterministic functions. The non-stationary random function will be modelled by changeable speed of the vehicle and vertical unevenness of track. We shall assume evolutionary Gaussian process. The dynamics of railway vehicle motion will be analysed by the Monte Carlo simulation and the theory of Markov processes.
Keywords: random vibration, Monte Carlo simulation, Markov process, non-stationary random process, stochastic analysis, mean response, covariance response
Published: March 31, 2001 Show citation
References
- BENDAT, J., S.: Nonlinear system analysis and identification from random data, John Wiley & Sons, New York 1990
- BÍLÝ, M.: Simulácia náhodných procesov na základe hustoty pravdepodobnosti, seminár Náhodné procesy a identifikácia mechanických dynamických systémov, Poprad 1989, (96-116)
- BOLOTIN, V., V.: Slučajnyje kolebania uprugich sistem, Nauka, Moskva 1979
- BREPTA, R. - PUST, L. - TUREK, F.: Mechanické kmitání, Sobotáles, Praha 1994
- ČAČKO, J.: Modelovanie náhodných procesov na základe korelačnej teórie, seminár Náhodné procesy a identifikácia mechanických dynamických systémov, Poprad 1989, (117-148)
- DOBIÁ©, I.: Nelinearní dynamické soustavy s náhodnými vstupmi, ACADEMIA, Praha 1988
- ELISHAKOFF, I. - COLOMBI, P.: Successful combination of the stochastic linearization and Monte Carlo methods, Journal of Sound and Vibration, 160(3), 1993, (554-558)
Go to original source...
- GRUNDMANN, H. - WAUBKE, H.: Non-linear stochastic dynamics of systems with random properties: A spectral approach combined with statistical linearization, Int. J. Non-Linear Mechanics, Vol. 31, No. 5, 1996, (619-630)
Go to original source...
- CHERNG, R., H. - WEN, Y., K.: Stochastic finite element analysis of non-linear plane trusses, Int. J. Non-Linear Mechanics, Vol. 26, No. 6, 1991, (835-849)
Go to original source...
- IYENGAR R., N.: Stochastic response and stability of the Duffing oscillator under narrowband excitation, Journal of Sound and Vibration, 126(2), 1988, (255-263)
Go to original source...
- JULI©, K. - BREPTA, R. a kol.: Mechanika II, Dynamika, SNTL, Praha 1987
- KALINČÁK, D. - KR©KO, J.: Hodnotenie zrýchlení dvojkolesí pri jazde po reálnej trati, Súčasné problémy v koµajových vozidlách - PRORAIL '99, ®ilina, október 1999, (201-208)
- KROPÁČ, O.: Náhodné jevy v mechanických soustavách, SNTL, Praha 1987
- KROPÁČ, O.: Statistická dynamika mechanických soustav, seminár Náhodné procesy a identifikácia mechanických dynamických systémov, Poprad 1989, (16-55)
Go to original source...
- LÁBAJ, J., KALINČÁK, D., KUKUČA, P., GAJDO©, J., GERLICI, J., LACK, T.: Výpočtové metódy v dopravnej a manipulačnej technike, EDIS ®U, ®ilina, 1997.
- NAES, A. - MOE, V.: Stationary and non-stationary random vibration of oscillators with bilinear hysteresis, Int. J. Non-Linear Mechanics, Vol. 31, No. 5, 1996, (553-562)
Go to original source...
- NIGAM, N., C.: Introduction to Random Vibrations, MIT Press, Cambridge 1983
- ROBERTS, J., B. - SPANOS, P., D.: Random Vibrations and Statistical Linearization, John Wiley & Sons, New York 1990
- RUBINSTEIN, R., Y.: Simulation and the Monte Carlo Method, John Wiley & Sons, New York 1981
Go to original source...
- SPANOS, P., D. - DONLEY, M., G.: Nonlinear multi-degree-of-freedom system random vibration by equivalent statistical quadratization, Int. J. Non-Linear Mechanics, Vol. 27, No. 5, 1992, (735-748)
Go to original source...
- VAVRO J., TVARŮ®EK J., HUSÁR ©.: Experimental Load Measuring for Determining of Durability of Chassis Parts of Microcar Vehicle, in "Proceedings of the XIII. Imecko World Congress", Torino, 1994
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