This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
An Indirect Boundary Element Technique for Exterior Periodic Acoustic Analysis
Annotation ability available
Sector:
Language:
English
Abstract
The boundary element solution procedure for exterior periodic acoustic problems fails at frequencies associated with the eigenfrequencies of the corresponding interior problems. A new technique is developed to overcome this problem in the indirect boundary element method by expanding the integral equations through the application of multi-valued impedance boundary conditions. The effectiveness of this newly developed UNequal Impedance technique for Qualitative Evaluation of acoustic response (UNIQUE) is demonstrated by applying this procedure for the solution a series of exterior acoustic problems.
Authors
Topic
Citation
Raveendra, S., Gardner, B., and Stark, R., "An Indirect Boundary Element Technique for Exterior Periodic Acoustic Analysis," SAE Technical Paper 971947, 1997, https://doi.org/10.4271/971947.Also In
References
- Numerical Techniques in Acoustic Radiation Bernhard R.. J. Keltie R. F. The American Society of Mechanical Engineers New York 1989
- Boundary Element Methods in Acoustics Ciskowski R. D. Brebbia C. A. Computational Mechanics Publications, Southampton, Elsevier Applied Science London 1991
- Chertock, G. “Sound Radiation from Vibrating Surfaces,” Journal of the Acoustical Society of America 1964 36 7 1305 1313
- Schenck, H. A. “Improved Integral Formulation for Acoustic Radiation Problems,” Journal of the Acous tical Society of America 1968 44 41 58
- Burton, A. Miller, G. “The Application of Integral Equation Methods to the Numerical Solution of Some Exterior Boundary Value Problems,” Proceed ing of the Royal Society of London 1971 323 201 210
- Meyer, W. L. Bell, W. A. Zinn, Z. T. Stallybrass, M. P. “Boundary Integral Solutions of Three Dimensional Acoustic Radiation Problems,” Journal of Sound and Vibration 1978 59 2 245 262
- Koopmann, G. H. Benner, H. “Method for Computing the Sound Power of Machines Based on the Helmholtz Integral,” Journal of the Acoustical Society of America 1982 71 1 78 89
- Seybert, A. F. Soenarko, B. Rizzo, F. J. Shippy, D. J. “An Advanced Computational Method for Radiation and Scattering of Acoustic Waves in Three Dimensions,” Journal of the Acoustical Society of America 1985 77 362 368
- Kipp, C. H. Bernhard, R. J. “Prediction of Acoustical Behavior in Cavities Using an Indirect Boundary Element Method,” ASME Journal of Vibrations, Acoustics, Stress and Reliability in Design 1987 109 1 22 28
- Filippi, P. J. T. “Layer Potentials and Acoustic Diffraction,” Journal of Sound and Vibration 54 4 473 500 1977
- Harndi, M. A. Integrales pour le Calcul Acoustiques Ph. Univer France 1981
- Covette, J. P. Fyfe, K. R. “Solution of Elasto-Acoustic Problems Using A Variational Finite Ele ment/Boundary Element Technique,” Numerical Techniques in Acoustic Radiation Bernhard, R. J. Keltie, R. F ASME New York 1989
- COMET/ Acoustics User's Manual: Version 3.0 Automated Analysis Corporation Ann Arbor, Michigan 1995
- Lamb, H. Hydrodynamics Cambridge University Press 1924
- Banerjee, P. K. Boundary Element Methods in Engineering McGraw Hill London 1994
- Brebbia, C. A. Telles, J. C. F. Wrobel, L. C. Boundary Element Techniques Springer-Verlag Berlin Heidelberg 1984
- Jones, D. S. “ Integral Equations for the Exterior Acoustic Problems,” Q. J. Mech . Appl. Math. 1974 26 129 142
- Seybert, A. F. Rangarajan, T. K. “The Use of CHIEF to Obtain Unique Solutions for Acoustic Radiation Using Boundary Integral Equations,” Journal of the Acoustical Society of America 1987 81 1299 1306
- Cunefare, K. A. Koopmann, G. Brod, K. “A Boundary Element Method for Acoustic Radiation Valid for All Wavenumbers,” Journal of the Acoustical Society of America 1989 85 39 48
- Segalman, D. J. Lobitz, D. W. “A Method to Overcome Computational Difficulties in the Exterior Acoustic Problems,” Journal of the Acoustical Society of America 1992 9 323 329
- Ingber, M. S. Hickox, C. E. “A Modified Burton-Miller Algorithm for Treating the Uniqueness of Representation Problem for Exterior Acoustic Radiation and Scattering Problems,” Engineering Analysis with Boundary Elements 1992 9 323 329
- Dargush, G. F. Raveendra, S. T. Banerjee, P. K. “Boundary Element Formulation for Structural Acoustics Including Mean Flow Effects,” Computational Methods in Fluid/Structure Interaction 1993 AMD-Vol. 178 pp. 39 50
- Mabarek, L. Hamdi, M. A. Prob 10 e me d'Acoustique 1986
- Mikhlin, S. G. Variational Methods in Mathematical Physics Macmillan Company New York 1964
- Raveendra, S. T. Vlahopoulos, N. Glaves, A. “An Indirect Boundary Element Formulation for Multi -Valued Impedance Simulation in Structural Acoustics,” 1997
- Pierce, A. D. Acoustics: An Introduction to its Physical Principles and Applications McGraw Hill New York 1981