Subharmonic Response of a Quasi-Isochronous Vibroimpact System to a Randomly Disordered Periodic Excitation

Nonlinear Dynamics

Volumn 17, Issue 2, 1998, Pages 173-186

  Dimentberg, M F ^a   Iourtchenko, D V ^a   Van Ewijk, O ^a,b  

^a Worcester Polytechnic Institute   (United States)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Nonlinear vibrations; Random vibrations; Subharmonics; Vibroimpact motions

Indexed keywords

COMPUTER SIMULATION; FREQUENCY RESPONSE; LINEAR SYSTEMS; MATHEMATICAL TRANSFORMATIONS; METHOD OF MOMENTS; MONTE CARLO METHODS; NATURAL FREQUENCIES; PERTURBATION TECHNIQUES; RESONANCE; WHITE NOISE;

SUBHARMONIC RESPONSE; VIBROIMPACT SYSTEM;

VIBRATIONS (MECHANICAL);

EID: 0032179696     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008247831908     Document Type: Article

References (9)

1. Thompson, J. M. T. and Stewart, H. B., Nonlinear Dynamics and Chaos, Wiley, Chichester, 1986.
2. Nayfeh, A. H. and Mook, D. T., Nonlinear Oscillations, Wiley, New York, 1979.
3. Zhuravlev, V. F., 'Amethod for analyzing vibration-impact systems by means of special functions', Mechanics of Solids 11, 1976, 23-27 [English translation of the Russian journal Mekhanika Tverdogo Tela].
4. Zhuravlev, V. F. and Klimov, D. M., Applied Methods in Vibration Theory, Nauka, Moscow, 1988 [in Russian].
5. Sanders, J. A. and Verhulst, F., Averaging Methods in Nonlinear Dynamical Systems, Springer-Verlag, New York, 1985.
6. Dimentberg, M. F., Statistical Dynamics of Nonlinear and Time-Varying Systems, Research Studies Press, Taunton, 1988.
7. Lin, Y. K. and Cai, G. Q., Probabilistic Structural Dynamics, MCGraw-Hill, New York, 1995.
8. Dimentberg, M. F., Hou, Z., and Noori, M., 'Stability of an SDOF system under periodic parametric excitation with a white noise phase modulation', in Stochastic and Nonlinear Dynamics: Applications to Mechanical Systems, W. Kliemann and N. Sri Namachivaya (eds.), CRC Press Mathematical Modelling Series, CRC Press, 1995, pp. 341-359.
9. Stratonovich, R. L., Topics in the Theory of Random Noise, Vol. II, Gordon & Breach, New York, 1967.