Mean and mean-square responses of a prototypical master/fuzzy structure

Journal of the Acoustical Society of America

Volumn 101, Issue 3, 1997, Pages 1441-1449

  Weaver, R L ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE; FOURIER TRANSFORMATION; LINEAR SYSTEM; MODEL; NOISE REDUCTION; OSCILLATION; POWER SPECTRUM; PREDICTION; PRIORITY JOURNAL; SIMULATION; THEORY;

EID: 0031048615     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.418169     Document Type: Article

References (12)

1. C. Soize, "Probabilistic structural modeling in linear dynamic analysis of complex mechanical systems I. Theoretical elements," La Recherche Aerospatiale (English edition) 5, 23-48 (1986).
2. C. Soize, "A model and numerical method in the medium frequency range for vibroacoustic predictions using the theory of structural fuzzy," J. Acoust. Soc. Am. 94, 849-865 (1993).
3. A. D. Pierce, V. W. Sparrow, and D. A. Russell, "Fundamental structural-acoustic idealizations for structures with fuzzy internals," J. Vibration Acoust. 117, 339-348 (1995).
4. D. A. Russell, "The theory of fuzzy structures and its application to waves in plates and shells," Ph. D. dissertation, The Pennsylvania State University, Graduate Program in Acoustics, State College, PA, 1995.
5. M. Strasberg and D. Feit, "Vibration damping of large structures induced by attached small resonant structures," J. Acoust. Soc. Am. 99, 335-344 (1996).
6. C. Ruckman, "A review of publications related to fuzzy structures analysis" (private communication).
7. C. E. Ruckman and D. Feit, "A Tutorial on Soize's method for stochastic modeling in structural acoustics (Fuzzy Structures Analysis)," Proceedings of the ASME 15th Biennial Conference on Mechanical Vibration and Noise (American Society of Mechanical Engineers, Boston, MA, 1995), pp. 241-246.
8. R. Weaver, "The effect of an undamped finite degree of freedom "fuzzy" substructure: numerical solutions and theoretical discussion," submitted to J. Acoust. Soc. Am. (January 1996).
9. U. Frisch, "Wave Propagation in Random Media," in Probabalistic Methods in Applied Mathematics, edited by T. Bharucha-Reid (Academic, New York, 1968), pp. 75-197.
10. A. J. McKane and M. Stone, "Localization as an alternative to Goldstone's Theorem," Ann. Phys. 131, 36-55 (1981).
11. The integral converges for positive ω. Responses may be constructed at real negative ω by means of the identity G( - ω) = G*(ω).
12. R. Weaver and J. Burkhardt, "Weak localization and enhanced backscatter in reverberation rooms and quantum dots," J. Acoust. Soc. Am. 96, 3186-3190 (1995).