Comparing quasi-conservative averaging and dissipation energy balancing methods in non-linear random vibration

International Journal of Non-Linear Mechanics

Volumn 32, Issue 1, 1997, Pages 121-126

  Cai, G Q ^a   Lin, Y K ^a  

^a FLORIDA ATLANTIC UNIVERSITY   (United States)

Author keywords

Markov process; Random vibration

Indexed keywords

APPROXIMATION THEORY; ENERGY DISSIPATION; MARKOV PROCESSES; OSCILLATORS (MECHANICAL); PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; STIFFNESS;

NONLINEAR VIBRATIONS;

VIBRATIONS (MECHANICAL);

EID: 0030855597     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7462(96)00015-7     Document Type: Article

References (6)

1. G. Q. Cai and Y. K. Lin, On exact stationary solutions of equivalent non-linear stochastic systems. Int. J. Non-Linear Mech. 23, 315 (1988).
2. Y. K. Lin and G. Q. Cai, Exact stationary-response solution for second-order nonlinear systems under parametric and external white-noise excitations: Part II. J. Appl. Mech. 55, 702 (1988).
3. R. Z. Khasminskii, On the behavior of a conservative system with small friction and small random noise. Prikladnaya Matematika i Mechanica (Appl. Math and Mech.) 28, 1126 (1964). [In Russian.]
4. P. S. Landa and R. L. Stratonovich, Theory of stochastic transitions of various systems between different states. Vestnik MGU (Proc. Moscow Univ.) Series III(1), 33 (1962). [In Russian.]
5. G. Q. Cai and Y. K. Lin, A new approximate solution technique for randomly excited non-linear oscillators. Int. J. Non-Linear Mech. 23, 409 (1988).
6. Y. K. Lin and G. Q. Cai, Probabilistic Structural Dynamics: Advanced Theory and Applications. McGraw-Hill, New York (1995).