Triangular Fourier p-element for the analysis of membrane vibrations

Journal of Sound and Vibration

Volumn 230, Issue 1, 2000, Pages 31-43

  Houmat, A ^a  

^a UNIVERSITY OF TLEMCEN   (Algeria)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; FOURIER TRANSFORMS; FUNCTIONS; MEMBRANES; POLYNOMIALS;

FOURIER P-ELEMENTS; LINEAR SHAPE FUNCTION; POLYNOMIAL HIERARCHICAL SHAPE FUNCTIONS;

VIBRATIONS (MECHANICAL);

EID: 0033749026     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1999.2613     Document Type: Article

References (10)

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2. WEST L. J., BARDELL N. S., DUNSDON J. M., LOASBY P. M. Some limitations associated with the use of K-orthogonal polynomials in hierarchical versions of the finite element method. Proceedings of the Sixth International Conference on Recent Advances in Structural Dynamics, Southampton. 1997.
3. HOUMAT A. An alternative hierarchical finite element formulation applied to plate vibrations. Journal of Sound and Vibration. 206:1997;201-215.
4. BESLIN O., NICOLAS J. A hierarchical functions set for predicting very high order plate bending modes. Journal of Sound and Vibration. 202:1997;633-655.
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7. LANGLEY R. S., BARDELL N. S. A review of current analysis capabilities applicable to the high frequency vibration prediction of aerospace structures. The Aeronautical Journal. 102:1998;287-297.
8. BARDELL N. S. The application of symbolic computing to the hierarchical finite element method. International Journal for Numerical Methods in Engineering. 28:1989;1181-1204.
9. MILSTED M. G., HUTCHINSON J. R. Use of trigonometric terms in the finite element method with application to vibrating membranes. Journal of Sound and Vibration. 32:1974;327-346.
10. HUTCHINSON J. R. An alternative BEM formulation applied to membrane vibrations. Boundary Elements VII - Proceedings of the Seventh International Conference, Como, Italy. 1985.