Booton's problem re-examined

Journal of Sound and Vibration

Volumn 210, Issue 5, 1998, Pages 683-691

  Elishakoff, I ^a   Colajanni, P ^b  

^a Florida Atlantic Univ   (United States)

^b UNIVERSITY OF PALERMO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; LINEARIZATION; NONLINEAR CONTROL SYSTEMS; PROBLEM SOLVING; RANDOM PROCESSES; STATISTICAL METHODS;

RANDOM VIBRATION THEORY; STATISTICAL MOMENT; STOCHASTIC LINEARIZATION;

VIBRATIONS (MECHANICAL);

EID: 0032027579     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1159     Document Type: Article

References (11)

1. J. R. BOOTON 1953 Proceedings of the Symposium on Nonlinear Circuit Analysis, Polytechnic Institute of Brooklyn, 369-397. The analysis of nonlinear control systems with random inputs.
2. I. E. KAZAKOV 1954 Trudj Voenno-Vozdushnoi Inzenernoi Akademii imeni Prof. N. E. Zhukovskogo, p. 399 (in Russian). An approximate method for the statistical investigation for nonlinear systems.
3. L. SOCHA and T. T. SOONG 1991 Applied Mechanics Reviews 44, 399-422. Linearization in analysis of nonlinear stochastic systems.
4. I. ELISHAKOFF and X. ZHANG 1992 Journal of Sound and Vibration 153, 370-375. An appraisal of different stochastic linearization techniques.
5. I. ELISHAKOFF 1995 Nonlinear Dynamics and Stochastic Mechanics (editors W. Kliemann and S. Namachchivaya). Boca Raton: CRC Press; pp. 259-281, Some results in stochastic linearization of nonlinear system.
6. H. J. PRANDLTWATER and G. I. SCHUËLLER 1993 Probabilistic Engineering Mechanics, Vol. 8, 115-126. Equivalent linearization - a suitable tool to analyze MDOF-system.
7. B. ROBERTS and P. D. SPANOS 1990 Random Vibration and Statistical Linearization. Chichester: John Wiley.
8. M. SHINOZUKA and C. M. JAN, 1972 Journal of Sound and Vibration and Statistical Linearization. Chichester: John Wiley.
9. M. NEWMARK 1958 American Society of Civil Engineers, Journal of Mechanical Division 85, 67-94. A method of computation for structural dynamics.
10. V. V. BOLOTIN 1971 Application of the Methods of Theory of Probability and the Theory of Reliability in Design of Structures (in Russian). Moscow: Izdatelstvo Literatury po Stroitelstvu.
11. T. K. CAUGHEY and J. K. DIENES 1961 Journal of Applied Physics 32, 2476-2479. Analysis of a non-linear first order system with a white noise input.