Random vibrations of an isochronous SDOF bilinear system

Nonlinear Dynamics

Volumn 11, Issue 4, 1996, Pages 401-405

  Dimentberg, M ^a  

^a Worcester Polytechnic Institute   (United States)

Author keywords

Bilinear system; Random vibrations; Response autocorrelation; Stochastic averaging

Indexed keywords

DAMPING; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; DYNAMIC RESPONSE; EQUATIONS OF MOTION; WHITE NOISE;

AUTOCORRELATION FUNCTION; BILINEAR SYSTEM; ISOCHRONOUS SYSTEM; RANDOM VIBRATIONS; SINGLE DEGREE OF FREEDOM SYSTEM; STOCHASTIC AVERAGING; STOCHASTIC DIFFERENTIAL EQUATION; VIBROIMPACT SYSTEM;

VIBRATIONS (MECHANICAL);

EID: 0030380167     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. Stratonovich, R. L., Topics in the Theory of Random Noise, Vol. 1, Gordon & Breach, New York, 1963.
2. Dimentberg, M. F., Statistical Dynamics of Nonlinear and Time-Varying Systems, Research Studies Press, Taunton, England, 1988.
3. Lin, Y. K. and Cai, G. Q., Probabilistic Structural Dynamics, McGraw-Hill, New York, 1995.
4. Khasminskii, R. Z., 'On the behaviour of a conservative system with small friction and small random noise', Prikladnaya Matematika i Mechanica (Applied Mathematics and Mechanics 28, 1964, 1126-1130 [in Russian].
5. Zhuravlev, V. F., 'A method for analyzing vibration-impact systems by means of special functions', Mechanics of Solids 11, 1976, 23-27.
6. (English translation of the Russian Journal Mekhanika Tverdogo Tela.)
7. Dimentberg, M. F., 'Pseudolinear vibroimpact system: non-white random excitation', Nonlinear Dynamics 9, 1996, 327-332.