A sector elliptic p-element applied to membrane vibrations

Thin-Walled Structures

Volumn 47, Issue 2, 2009, Pages 172-177

  Houmat, A ^a  

^a UNIVERSITY OF TLEMCEN   (Algeria)

Author keywords

Annular elliptic membrane; Free vibration; Sector elliptic p element

Indexed keywords

ASPECT RATIO; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; FOURIER ANALYSIS; FUNCTION EVALUATION; NATURAL FREQUENCIES; POLYNOMIAL APPROXIMATION;

ANNULAR ELLIPTIC MEMBRANE; ELLIPTIC COORDINATES; FREE VIBRATION; FREE VIBRATION ANALYSES; LEGENDRE; MEMBRANE VIBRATIONS; ORTHOGONAL POLYNOMIALS; POLYNOMIAL DEGREES; SECTOR ELLIPTIC P-ELEMENT; SHAPE FUNCTIONS; SYMBOLIC COMPUTING;

MEMBRANES;

EID: 58149287919     PISSN: 02638231     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tws.2008.06.002     Document Type: Article

References (5)

1. Rayleigh J.W.S. The theory of sound (1945), Dover, New York
2. Buchanan G.R., and Peddieson J. A finite element in elliptic coordinates with application to membrane vibration. Thin-Walled Struct 43 (2005) 1444-1454
3. Houmat A. Hierarchical finite element analysis of the vibration of membranes. J Sound Vib 201 (1997) 465-472
4. Houmat A. Free vibration analysis of membranes using the h-p version of the finite element method. J Sound Vib 282 (2005) 401-410
5. Abramowitz M., and Stegun I.A. Handbook of mathematical functions (1965), Dover, New York