Generalized functions and Kirchhoff formulas

2nd AIAA/CEAS Aeroacoustics Conference

Volumn , Issue , 1996, Pages

  Farassat, F ^a  

^a NASA LANGLEY RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROACOUSTICS; FUNCTIONS; NASA; WAVE PROPAGATION;

DIRAC DELTA FUNCTION; GENERALIZED FUNCTIONS; LINEAR FUNCTIONAL; MATHEMATICAL OBJECTS; MOVING SURFACES; MUNICH , GERMANY; OPERATIONAL PROPERTIES; ORDERED PAIRS;

DELTA FUNCTIONS;

EID: 2942617006     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1996-1705     Document Type: Conference Paper

References (11)

1. D. S. Jones: The Theory of Electromagnetism. 1964, Pergamon Press, Oxford.
2. A. D. Pierce: Acoustics- An Introduction to Its Physical Principles and Applications, 1981. McGraw Mill. New York.
3. W. R. Morgans: “The Kirchhoff Formula Extended to a Moving Surface.” Philosophical Magazine, 1930. Vol. 9, pp. 141-161.
4. F. Farassat and M. K. Myers: “Extension of Kirchhoff Formula to Radiation from Moving Surfaces.” Journal of Sound and vibration. 1988. Vol. 123(3). pp. 451-460.
5. Y. Xue and A. S. Lyrintzis: “Rotating Kirchhoff Method for Three-Dimensional Transonic Blade-Vortex Interaction Hover Noise,” AIAA Journal, 1994. Vol. 32(7), pp. 1350-1359.
6. F. H. Schmitz: Rotor Noise. Chap. 2 of Aeroacoustics of Flight Vehicles: Theory and Practice, Vol. 1, Noise Sources, NASA RP-I258, 1991, pp. 65-149.
7. F. Farassat: “An Introduction to Generalised Functions with Applications in Aerodynamics and Acroacoustics,” NASA TP-3428, 1994.
8. D. S. Jones: The Theory of Generalised Functions, 2nd Ed.. 1982. Cambridge University Press.
9. I. M. Gel’fand and G. E. Shilov: Generalized Functions, Vol. I. Properties and Operations, 1964, Academic Press.
10. R. P. Kanwal: Generalized Functions-Theory and Technique. 1983, Academic Press.
11. F. Farassat and M.K. Myers: “Line Source Singularity in the Wave Equation and Its Removal by Quadrupole Sources - A Supersonic Propeller Noise Problem,” Theoretical and Computational Acoustics, Vol. 1, D. Lee. J. E. Ffowes Williams, A. D. Pierce and M. H. Schultz (Eds.). 1994, World Scientific Publishing.