Parametric design sensitivity analysis of high-frequency structural-acoustic problems using energy finite element method

International Journal for Numerical Methods in Engineering

Volumn 62, Issue 1, 2005, Pages 83-121

  Dong, Jun ^a   Choi, Kyung K ^a   Wang, Aimin ^b   Zhang, Weiguo ^b   Vlahopoulos, Nickolas ^b  

^a UNIVERSITY OF IOWA   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Adjoint variable method; Coupling matrix; Design sensitivity analysis (DSA); Energy finite element method (EFEM); Power transfer coefficients; Radiation efficiency; Structural acoustics

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; MATRIX ALGEBRA; PROBLEM SOLVING;

ADJOINT VARIABLE METHODS; ENERGY FINITE ELEMENT METHOD (EFEM); PARAMETRIC DESIGN; STRUCTURAL JUNCTIONS;

SENSITIVITY ANALYSIS;

ACOUSTIC TECHNIQUE; FINITE ELEMENT METHOD; STRUCTURAL ANALYSIS;

EID: 11144271417     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1190     Document Type: Article

References (42)

1. Atalla N, Bernhard RJ. Review of numerical solutions for low-frequency structural-acoustic problems. Applied Acoustics 1994; 43 3):271-294.
2. Richards TL, Jha SK. Simplified finite element method for studying acoustic characteristics inside a car cavity. Journal of Sound and Vibration 1979; 63(1):61-72.
3. Bernhard RJ, Garder BK, Mollo CG, Kipp CR. Prediction of sound fields in cavities using boundary element methods. AIAA Journal 1986; 25 9):1176-1183.
4. Vlahopoulos N. A numerical structure-borne noise prediction scheme based on the boundary-element method, with a new formulation for the singular-integrals. Computers and Structures 1994; 50 l):97-109.
5. Kopuz S, Lalor N. Analysis of interior acoustic fields using the finite element method and the boundary element method. Applied Acoustics 1995; 45(3):193-210.
6. Ma ZD, Hagiwara I. Development of eigenmode and frequency response sensitivity analysis methods for coupled acoustic-structural systems. JSME International Journal Series III 1995; 35(2):229-235.
7. Smith DC, Bernhard RJ. Computation of acoustic shape design sensitivity using a boundary element method. Journal of Vibration and Acoustics-Transactions of The ASME 1992; 114(1):127-132.
8. Choi KK, Shim I, Wang S. Design sensitivity analysis of structure-induced noise and vibration. Journal of Vibration and Acoustics 1997; 119(2):173-179.
9. Wang S, Choi KK, Kulkavni H. Acoustical optimization of vehicle passenger space. SAE Paper No. 941071, 1994.
10. Kim NH, Dong J, Choi KK. Vlahopoulos N, Ma ZD, Castanier M, Pierre C. Design sensitivity analysis for sequential structural-acoustic problems. Journal of Sound and Vibration 2003; 263(3):569-591.
11. Dong J, Choi KK, Kim NH. Design optimization for structural-acoustic problem using FEA-BEA with adjoint variable method. ASME Journal of Mechanical Design 2004; 126(3):527-533.
12. Nefske DJ, Wolf JA, Howell LJ. Structural-acoustic finite element analysis of the automobile passenger compartment: a review of current practice. Journal of Sound and Vibration 1982; 80:247-266.
13. Lyon R. Statistical Energy Analysis of Dynamical Systems: Theory and Application. The MIT press: Cambridge, MA, 1975.
14. Lyon R, Maidanik G. Power flow between linearly coupled oscillators. Journal of Acoustic Society of America 1962; 34(5):623-639.
15. Chen H et al. Statistical energy analysis modeling of a passenger vehicle. Proceedings of the Inter-Noise 95, Newport Beach, CA, 1995; 1239-1242.
16. Chen H et al. A comparison of test-based and analytic SEA models for vibro-acoustics of a light truck. Proceedings of the SAE 1995 Noise and Vibration Conference, 951329, Traverse City, MI, USA, 1995; 777-784.
17. Nefske DJ, Sung SH. Power flow finite-element analysis of dynamic-systems: basic theory and application to beams. Journal of Vibration Acoustics Stress and Reliability in Design 1989; 111 1):94-100.
18. Wohlever J, Bernhard RJ. Mechanical energy flow models of rods and beams. Journal of Sound and Vibration 1992; 153(1):1-19.
19. Bouthier OM, Bernhard RJ. Models of space-averaged energetics of plates. AIAA Journal 1992; 30(3): 616-623.
20. Bouthier OM, Bernhard RJ. Simple models of the energetics of transversely vibrating plates. Journal of Sound and Vibration 1995; 182(1):149-166.
21. Bouthier OM. Energetics of vibrating systems. Ph.D. Thesis, Purdue University, 1992.
22. Langley RS, Heron KH. Elastic wave transmission through plate/beam junctions. Journal of Sound and Vibration 1990; 143 2):241-253.
23. Cho PE. Energy flow analysis of coupled structures. Ph.D. Thesis, Purdue University, 1993.
24. Vlahopoulos N, Garza-Rios LO, Mollo C. Numerical implementation, validation, and marine applications of an energy finite element formulation. Journal of Ship Research 1999; 43(3):143-156.
25. Zhang W, Wang A, Vlahopoulos N. Validation of the EFEA method through correlation with conventional FEA and SEA results. SAE Noise and Vibration Conference, SAE Paper No. 2001-01-1618, 2001.
26. Wang S. Theory and applications of a simplified energy finite element method and its similarity to SEA. Noise Control Engineering Journal 2002; 50(2):63-72.
27. Bitsie F. The Structural-acoustic energy finite element method and energy boundary element method. Ph.D. Thesis, Purdue University, 1996.
28. Zhang W, Wang A, Vlahopoulos N. High-frequency vibration analysis of thin elastic plates under heavy fluid loading by an energy finite element formulation. Journal of Sound and Vibration 2003; 263 1):21-46.
29. Bitsie F, Bernhard RJ. Sensitivity calculations for structural-acoustic EFEM predictions. Noise Control Engineering 1998; 46 3):91-96.
30. Borlase GA, Vlahopoulos N. An energy finite element optimization process for reducing high-frequency vibration in large-scale structures. Finite Elements in Analysis and Design 2000; 36(1):51-67.
31. Kim NH, Dong J, Choi KK. Energy flow analysis and design sensitivity analysis of structural-acoustic problems at high frequency. Journal of Sound and Vibration 2004; 269(1-2):213-250.
32. Cremer L, Heckl L, Ungar EE. Structure-Bourn Sound(2nd edn). Springer: Berlin, 1988.
33. Fahy FJ. Foundations of Engineering Acoustics. Academic Press: London, 2001.
34. Davies HG. Sound from turbulent-boundary-layer-excited panels. Journal of the Acoustic Society of America 1971; 49:878-889.
35. Maidanik G. Response of ribbed panels to reverberant acoustic fields. The Journal of the Acoustic Society of America 1962; 34:809-826.
36. Leppington FG, Broadbent EG, Heron KH. The acoustic radiation efficiency of rectangular panels. Proceedings of the Royal Society of London 1982; A382:245-271.
37. Fahy FJ. Sound and Structural Vibration: Radiation, Transmission and Response. Academic Press: London, 1985.
38. Haug EJ, Choi KK, Komkov V. Design Sensitivity Analysis of Structural Systems. Academic Press: New York, NY, 1985.
39. Lyon R. In-plane contribution to structural noise transmission. Noise Control Engineering Journal 1986; 26(1):22-27.
40. Bernhard RJ, Huff JE. Structural-acoustic design at high frequency using the energy finite element method. Journal of Vibration and Acoustics 1999; 121(3):295-301.
41. Han F, Mongeau G, Bernhard RJ. Energy flow analysis of beams and plates for random distributed loading. Journal of Fluids and Structures 1998; 12(3):315-333.
42. Reddy JN. Applied Functional Analysis and Variational Methods in Engineering. McGraw-Hill: New York, NY, 1986.