On radiation from elliptic-cylinder geometries

Acustica

Volumn 85, Issue 4, 1999, Pages 449-463

  Machens, Kai Ulrich ^a,b  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b DAIMLER AG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC IMPEDANCE; ACOUSTIC WAVE SCATTERING; CYLINDERS (SHAPES); FUNCTIONS;

ACOUSTIC RADIATION; ELLIPTIC-CYLINDER GEOMETRY; MATHIEU FUNCTIONS;

ACOUSTIC WAVES;

EID: 0032596252     PISSN: 00017884     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. F. Mechel: A uniform theory of sound screens and dams. Acustica - acta acustica 83 (1997) 260-83.
2. K.-U. Machens: Synthesis of radiated soundfield from a vibrating plate-strip with free edges. Proceedings of the ICA/ASA'98, Seattle, WA, 1998, 193-94.
3. K.-U. Machens: Multipole synthesis of sound radiation from slender bodies - potential applications in active noise control. Proceedings of the euro-noise 98, Designing for Silence, Vol I, München, 1998, 91-96.
4. J. Meixner, F. Schäfke: Mathieusche Funktionen und Sphäroidfunktionen. Springer-Verlag, Berlin, 1954.
5. P. Morse, H. Feshbach: Methods of theoretical physics. McGraw-Hill, New York, 1953.
6. M. Abramowitz, I. Stegun: Handbook of mathematical functions. Dover Publ., New York, 1972.
7. I. Gradshteyn, I. Ryzhik: Table of integrals, series, and products. Academic Press, 1980.
8. F. Mechel: Mathieu functions, formulas, generation, use. S. Hirzel Verlag, Stuttgart, 1997.
9. W. Leeb: Algorithm 537 characterisitic values of mathieu's differential equation [s22]. ACM Transactions on Mathematical Softwares (1979) 112-17.
10. M. Strutt: Lamésche-, Mathieusche- und verwandte Funktionen in Physik und Technik. Springer-Verlag, Berlin, 1932.
11. K. Klotter: Technische Schwingungslehre, Band 1, Teil A, third edition. Springer-Verlag, Berlin, 1978.
12. W. Press, B. Flannery, S. Teukolsky, W. Vetterling: Numerical recipes. Cambridge University Press, Cambridge, 1989.
13. E. Anderson, Z. Bai, J. Bischof, J. Demmel, J. Dongarra: Lapack users' guide. SIAM, Philadelphia, 1992.
14. M. Junger, D. Feit: Sound, structures, and their interaction. Acoustical Society of America, Cambridge, 1993.
15. I. Bronstein, K. Semendjajew: Taschenbuch der Mathematik. Harri Deutsch Verlag, Frankfurt/Main, 1985.
16. K.-U. Machens: Anwendung der Vergleichsquellenmethode zur Berechnung von Schallfeldern. VDI-Verlag GmbH, Düsseldorf, 1998.
17. R. Piessens, E. deDoncker Kapenga, C. Uberhuber, D. Kahaner: Quadpack: a subroutine package for automatic integration. Springer Verlag, Berlin, 1983.
18. L. Cremer, M. Heckl: Körperschall. Springer-Verlag, Berlin, 1996.
19. P. Hagedorn: Technische Schwingungslehre. Bd. 2. Springer-Verlag, Berlin, 1989.
20. D. Crighton, A. Dowling, J. Ffowcs Williams, M. Heckl, F. Leppington: Modern methods in analytical acoustics. Springer-Verlag, London, 1992.
21. M. Ochmann: The source simulation technique for acoustic radiation problems. Acustica 82 (1995) 512-27.
22. K.-U. Machens: Approximate solutions for acoustic radiation problems: A critical appraisal of the Method of Comparative Sources. submitted to Acustica - acta acustica.
23. P. C. Waterman: New formulation of acoustic scattering. J. Acoust. Soc. Amer. 45 (1969) 1417-29.
24. L. Cremer, M. Wang: Die Synthese eines von einem beliebigen Körper in Luft erzeugten Feldes aus Kugelschallfeldern und deren Realisierung in Durchrechnung und Experiment. Acustica 65 (1988) 53-74.
25. M. Ochmann: A stabilized variant of the source simulation technique for acoustic radiation and scattering problems. Proceedings of the euro-noise 98, Designing for Silence, Vol I, München, 1998, 61-66.