Ensemble energy average and energy flow relationships for nonstationary vibrating systems

Journal of Sound and Vibration

Volumn 288, Issue 3, 2005, Pages 751-790

  Carcaterra, Antonio ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; LARGE SCALE SYSTEMS; NATURAL FREQUENCIES; STATISTICAL METHODS; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

ELASTIC SYSTEM; ENERGY ANALYSIS; ENERGY DIFFERENCE; ENERGY SHARING;

ENERGY TRANSFER;

EID: 25444528769     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2005.07.015     Document Type: Conference Paper

References (33)

1. R.A. Ibrahim Structural dynamics with parameters uncertainties Applied Mechanics Review 40 3 1987 309 328
2. D.C. Poirel, and S.J. Price Structurally nonlinear fluttering airfoil in turbulent flow AIAA Journal 39 10 2001 1960 1968
3. D. Xiu, D. Lucor, C.H. Su, and G.E. Karnakidakis Stochastic modelling of flow-structure interactions using generalized polynomial chaos Journal of Fluid Engineering 124 2002 51 59
4. A. Carcaterra, D. Dessi, and F. Mastroddi Hydrofoil vibration induced by a random flow: a stochastic perturbation approach Journal of Sound and Vibration 283 2005 401 432
5. R.G. Ghanem, and P. Spanos Stochastic Finite Elements: a spectral approach 1991 Springer Berlin
6. H.J. Pradlwarter, and G.I. Schueller On advanced Monte Carlo simulation procedures in stochastic structural dynamics International Journal of Non-linear Mechanics 32 4 1997 735 744
7. T.T. Soong Random Differential Equations in Science and Engineering 1973 Academic Press New York
8. Y.K. Lin, and G.Q. Cai Stochastic analysis of nonlinear systems S.G. Braun D.J. Ewins S.S. Rao Encyclopedia of Vibration 2002 Academic Press New York
9. Z. Schuss Theory and Applications of Stochastic Differential Equations 1975 Wiley New York
10. L. Meirovitch Elements of Vibration Analysis 1986 McGraw-Hill Singapore
11. J.L. Bogadanov, and F. Kozin Moments of the output of linear random systems Journal of Acoustical Society of America 34 1962 1063 1068
12. G. Cumming Derivation of the moments of a continuous stochastic system International Journal of Control 5 1967 85 90
13. D. Xiu, and G.E. Karnadakis The Wiener-Askey polynomial chaos for stochastic differential equations Journal of Scientific Computing 24 2 2002 619 644
14. W. Pauli Statistical Mechanics, Pauli Lectures on Physics vol. 4 1971 Dover Publications New York
15. L.D. Landau, and E.M. Lifšits Fisica Statistica 1978 Editori Riuniti Roma (in italian)
16. A. Einstein Investigation on the Theory of the Brownian Movment 1956 Dover Publications New York
17. A.I. Khinchin Mathematical Foundations of Statistical Mechanics 1949 Dover Publications New York
18. R.H. Lyon, and R.G. De Jong Theory and Applications of Statistical Energy Analysis second ed. 1995 Butterworth-Heinemann Newton, MA
19. F.J. Fahy Statistical Energy Analysis: a critical overview review Philosophical Transactions of Royal Society London A 346 1994 437 447
20. B. Mace Statistical energy analysis energy distribution models and system modes, Journal of Sound and Vibration 264 2 2003 391 409
21. R.S. Langley A general derivation of the statistical energy analysis equations for coupled dynamic-systems Journal of Sound and Vibration 135 3 1989 499 508
22. B. Mace On the statistical energy analysis hypothesis of coupling power proportionality and some implications of its failure Journal of Sound and Vibration 178 1 1994 95 112
23. A. Carcaterra, and A. Sestieri Energy density equations and power flow in structures Journal of Sound and Vibration 188 2 1995 269 282
24. F.J. Fahy, and A.D. Mohammed A study of uncertainty in applications of SEA to coupled beam and plate systems, I: computational experiments Journal of Sound and Vibration 158 1 1992 45 67
25. B. Mace Statistical energy analysis of two edge-coupled rectangular plates: ensemble averages Journal of Sound and Vibration 193 4 1996 793 822
26. R.S. Langley, and V. Cotoni Response variance prediction in the statistical energy analysis of built-up systems Journal of Acoustical Society of America 115 2 2003 1 13
27. A. Culla, A. Sestieri, and A. Carcaterra Energy flow uncertainties in vibrating systems: Definition of a statistical confidence factor Mechanical Systems and Signal Processing 17 3 2003 635 663
28. A. Carcaterra An entropy formulation for the analysis of power flow between mechanical resonators Mechanical Systems and Signal Processing 16 5 2002 905 920
29. C. Soize A model and numerical method in the medium frequency range for vibroacoustic predictions using the theory of structural fuzzy Journal of Acoustical Society of America 94 1993 849 865
30. R.H. Lyon Statistical energy analysis and structural fuzzy Journal of Acoustical Society of America 97 1995 2878 2881
31. C. Bernardini, O. Ragnisco, and P.M. Santini Metodi Matematici della Fisica 1993 La Nuova Italia Scientifica Roma (in italian)
32. A. Carcaterra, and A. Akay Transient energy exchange between a primary structure and a set of oscillators: return time and apparent damping Journal of Acoustical Society of America 115 2 2004 683 696
33. P.M. Morse, and K.U. Ingard Theoretical Acoustics 1968 Princeton University Press Princeton, NJ