Active controlled structural systems under delta-correlated random excitation: Linear and nonlinear case

Communications in Nonlinear Science and Numerical Simulation

Volumn 11, Issue 5, 2006, Pages 646-661

  Pirrotta, A ^a   Zingales, M ^a  

^a Dipartimento di Ingegneria Strutturale e Geotecnica   (Italy)

Author keywords

Computational methods; Stochastic analysis

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; LINEAR CONTROL SYSTEMS; MONTE CARLO METHODS; NONLINEAR CONTROL SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; RANDOM PROCESSES; STATISTICAL METHODS; VIBRATIONS (MECHANICAL);

ACTIVE CONTROL SYSTEMS; DYNAMIC SYSTEMS; STOCHASTIC ANALYSIS;

CONTROL THEORY;

COMPUTATIONAL MODEL;

EID: 28444498334     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2005.01.009     Document Type: Article

References (22)

1. A. Halanay Differential equations stability, oscillations, time lags 1966 Academic Press New York
2. M. Malek-Zavarej M. Jamshidi Time-delay systems, optimization and applications 1987 North-Holland New York
3. B.C. Kuo Automatic control systems 1987 Prentice-Hall New York
4. M. Grigoriu Control of time-delay linear system with Gaussian white noise Prob Eng Mech 12 1997 89-96
5. M. Di Paola A. Pirrotta Time-delay induced effect on control of linear systems under random excitation Prob Eng Mech 16 2001 43-51
6. C. Bilello M. Di Paola A. Pirrotta Time-delay induced effects on control of nonlinear systems under random excitation Meccanica 37 2002 207-220
7. M. Di Paola G. Falsone Dynamics of non-linear systems driven by non-normal delta correlated processes J Appl Mech ASME 60 1993 141-148
8. M. Di Paola G. Falsone Itô and Stratonovich integral for delta correlated processes Prob Eng Mech 8 1993 197-208
9. M. Di Paola M. Vasta Stochastic integro-differential equation and differential equations of nonlinear systems excited by parametric Poisson pulses Int J N Mech 32 1997 855-862
10. M. Grigoriu Linear and non-linear systems with non-Gaussian white noise input Prob Eng Mech 10 1995 171-179
11. D.V. Iourtchenko Response spectral density of linear systems with external and parametric non-Gaussian, delta correlated excitation Prob Eng Mech 18 2003 31-36
12. R. Iwankiewicz Dynamic response of non-linear systems to random trains of non-overlapping pulses Meccanica 37 2002 167-178
13. R. Iwankiewicz S.R.K. Nielsen Dynamic response of nonlinear systems to Poisson distributed random impulses J Sound Vib 156 1992 407-423
14. R. Iwankiewicz K. Sobeczyk Dynamic response of linear structures to correlated random impulses J Sound Vib 86 1983 303-317
15. S. Caddemi M. Di Paola Nonlinear system response for impulsive parametric input J Appl Mech 64 1997 642-648
16. M. Di Paola A. Pirrotta Nonlinear systems under impulsive parametric input Int J N Mech 34 1999 843-851
17. Di Paola M. Stochastic differential calculus, dynamic motion: Chaotic and stochastic behavior. In: Casciati, editor. CISM Courses and Lectures. Wien: Springer-Verlag; 1996.
18. J.B. Roberts System response to random impulses J Sound Vib 24 1972 23-24
19. M. Vasta Exact stationary solution for a class of non-linear systems driven by non-normal delta-correlated process Int J Non-Linear Mech 30 1995 407-418
20. G. Muscolino G. Ricciardi Probability density function of MDOF structural systems under non-normal delta-correlated inputs Comput Methods Appl Mech Eng 168 1999 121-133
21. V.B. Kolmanovskii L.E. Shaikhet Control systems with aftereffect 1996 American Mathematical Society Rhode Island
22. A.K. Agrawal J.N. Yang Effects of fixed time delay on stability and performance of actively controlled civil engineering structures Earth Eng Struct Dyn 26 1997 1169-1185