Canonical representations of complex vibratory subsystems: Time domain Dirichlet to Neumann maps

International Journal of Solids and Structures

Volumn 37, Issue 20, 2000, Pages 2825-2857

  Barbone, Paul E ^a   Cherukuri, Aravind ^a   Goldman, Daniel ^a  

^a BOSTON UNIVERSITY   (United States)

Author keywords

Dynamic reduction; Dynamics; Fuzzy structure; High modal density; Model reduction; Substructure; Vibration

Indexed keywords

DYNAMIC RESPONSE; FUZZY SETS; MATHEMATICAL MODELS; TIME DOMAIN ANALYSIS; VIBRATIONS (MECHANICAL);

VIBRATORY SUBSYSTEMS;

STRUCTURAL ANALYSIS;

EID: 0033873502     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00070-0     Document Type: Article

References (25)

1. Abramowitz M., Stegun I.A. Handbook of Mathematical Functions. 1972;Dover Publications, New York.
2. Barbone, P.E., 1995. Equipment representations for shock calculations: time domain Dirichlet to Neumann maps. In: Proceedings of 1995 Design Engineering Technical Conferences, Acoustics, Vibrations, and Rotating Machines, Boston, MA, September 1995, 3, Part B. ASME Press, New York, pp. 223-228.
3. Barbone, P.E., 1998. Effective dynamical properties. In: Proceedings of ASME Noise Control and Acoustic Division, 1998 International Mechanical Engineering Congress, Anaheim, CA, November 1998, NCA25. ASME Press, New York, pp. 333-338.
4. Bender C.M., Orszag S.A. Advanced Mathematical Methods of Scientists and Engineers. (International edition) ed. 1978;McGraw-Hill, Singapore.
5. Cherukuri A., Barbone P.E. High modal density approximations for equipment in the time domain. J. Acoust. Soc. Am. 104:(4):1998;2048-2053.
6. Craig R.R. Substructure methods in vibration. Trans. ASME J. Vib. Acoust. 117:(3):1995;207-213.
7. Givoli D. A combined analytic-finite element method for elastic shells. Int. J. of Solids and Structures. 26:1990;185-198.
8. Givoli D. Numerical Methods for Problems on Infinite Domains. 1st ed. 1992;Elsevier, Amsterdam.
9. Givoli D., Keller J.B. A finite element method for large domains. Comput. Meth. Appl. Mech. Engng. 76:1989;41-66.
10. Givoli D., Keller J.B. Non-reflecting boundary conditions for elastic waves. Wave Motion. 12:1990;261-279.
11. Givoli D., Keller J.B. A finite element method for domains with corners. Int. J. for Numerical Methods in Engineering. 35:1992;1329-1345.
12. Givoli D., Rivkin L. The DtN finite element method for elastic domains with cracks and reentrant corners. Computers and Structures. 49:1993;633-642.
13. Goldman, D., Barbone, P.E., 1996. Dirichlet to Neumann maps for the representation of equipment with weak non-linearities. In: Proceedings of ASME Noise Control and Acoustics Division, 1996 International Mechanical Engineering Congress, Atlanta, GA, November 1996, NCA22. ASME Press, New York, pp. 71-76.
14. Guyan R.J. Reduction of stiffness and mass matrices. AIAA Journal. 3:(2):1965;380.
15. Hurty W.C. Dynamic analysis of structural systems using component modes. AIAA Journal. 3:(4):1965;678-685.
16. Keller J.B., Givoli D. Exact non-reflecting boundary conditions. J. Comput. Phys. 82:1989;172-192.
17. Lanczos C. The Variational Principles of Mechanics. 1986;Dover. (Reprint of fourth (1970) edition).
18. Nagem R.J., Veljkovic I., Sandri GvH. Vibration damping by a continuous distribution of undamped oscillators. J. Sound Vib. 207:(3):1997;429-434.
19. O'Hara, G.J., Cunniff, P.F., 1963. Elements of normal mode theory. Naval Research Laboratory Report No. 6002.
20. Pierce A.D., Sparrow V.W., Russel D.A. Fundamental structural-acoustic idealizations for structures with fuzzy internals. Proceedings of ASME Winter Annual Meeting, New Orleans, November 1993, ASME Transactions, Paper No. 93-WA/NCA-17. 1993.
21. Pierce A.D. Resonant-frequency-distribution of internal mass inferred from mechanical impedance matrices, with application to fuzzy structure theory. Proceedings of the ASME Symposium on Acoustics of Submerged Structures and Transduction Systems, 17-21 September 1995. 1995;ASME Press, New York.
22. Pierce, A.D., 1995b. Fuzzy elements, their coupling rules, and the Jaynes-Shannon maximum entropy principle. Technical Report AM-95-032, Department of Aerospace and Mechanical Engineering, Boston University, November 1995.
23. Strasberg M., Feit D. Vibration damping of large structures induced by attached small resonant structures. J. Acoust. Soc. Am. 99:(1):1996;335-344.
24. Weaver R.L. The effect of an undamped finite degree of freedom 'fuzzy' substructure: numerical solutions and theoretical discussion. J. Acoust. Soc. Am. 100:(5):1996;3159-3164.
25. Weaver R.L. Mean and mean-square responses of a prototypical master/fuzzy structure. J. Acoust. Soc. Am. 101:(3):1997;1441-1449.