A finite element algorithm for the study of nonlinear standing waves

Journal of the Acoustical Society of America

Volumn 103, Issue 5 I, 1998, Pages 2312-2320

  Elvira Segura, L ^a   Riera Franco De Sarabia, E ^a  

^a Consejo Superior de Investigaciones Científicas   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ALGORITHM; ARTICLE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PRIORITY JOURNAL; THEORY;

EID: 19044396709     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.422750     Document Type: Article

References (8)

1. A. L. Van Buren, "Mathematical model for nonlinear standing waves in a tube," J. Sound Vib. 42, 273-280 (1975).
2. S. I. Aanonsen, "Numerical computation of the nearfield of a finite amplitude sound beam," Int. Report No 73, University of Bergen, Norway (1983).
3. S. I. Aanonsen, T. Barkve, J. N. Tjøtta, and S. Tjøtta, "Distortion and harmonic generation in the nearfield of a finite amplitude sound beam," J. Acoust. Soc. Am. 75, 749-768 (1984).
4. T. Tsuchiya and Y. Kagawa, "Finite Element Analysis of focusing field in nonlinear acoustic waves," Proc. 11th Symposium on Ultrasonic Electronics, pp. 51-53 (1990).
5. L. Elvira, "Desarrollo y validación de un método de elementos finitos para el estudio de ondas acústicas estacionarias no lineales," Ph.D. dissertation, Universidad Complutense de Madrid, 1996.
6. D. E. Weston, "The theory of the propagation of plane sound waves in tubes," Proc. Phys. Soc. London, Sect. B 66, 695-709 (1953).
7. A. B. Coppens and J. V. Sanders, "Finite-amplitude standing waves in rigid-walled tubes," J. Acoust. Soc. Am. 43, 516-529 (1968).
8. O. C. Zienkiewicz, The Finite Element Method (McGraw-Hill Book, London 1977), 3rd ed., Chap. 3, pp. 42-65.