Free vibration analysis of membranes using the h-p version of the finite element method

Journal of Sound and Vibration

Volumn 282, Issue 1-2, 2005, Pages 401-410

  Houmat, A ^a  

^a UNIVERSITY OF TLEMCEN   (Algeria)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; FUNCTIONS; MEMBRANES; NATURAL FREQUENCIES; POLYNOMIALS; PROBLEM SOLVING;

CLOSED FORM SOLUTIONS; MESHES; POLYNOMIALLY ENRICHED TRIANGULAR ELEMENT; VIBRATION PROBLEMS;

VIBRATIONS (MECHANICAL);

EID: 17844372503     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2004.02.042     Document Type: Article

References (10)

1. I. Babuska, and B. Guo The h-p version of the finite element method, Part I the basic approximation results Computational Mechanics 1 1986 21 41
2. L. Demkowicz, J.T. Oden, W. Rachowicz, and O. Hardy Toward a universal h-p adaptive finite element strategy, Part I constrained approximation and data structure Computational Methods in Applied Mechanics and Engineering 77 1989 79 112
3. N.S. Bardell, J.M. Dunsdon, and R.S. Langley Free vibration analysis of thin rectangular laminated plate assemblies using the h-p version of the finite element method Composite Structures 32 1995 237 246
4. N.S. Bardell An engineering application of the h-p version of the finite element method to the static analysis of a Euler-Bernoulli beam Computers and Structures 59 1996 195 211
5. A. Houmat Hierarchical finite element analysis of the vibration of membranes Journal of Sound and Vibration 201 1997 465 472
6. A. Peano Hierarchies of conforming finite elements for plane elasticity and plate bending Computers and Mathematics with Applications 2 1976 211 224
7. B. Szabo, and I. Babuska Introduction to Finite Element Analysis 1989 Wiley New York
8. M. Abramowitz, and I.A. Stegun Handbook of Mathematical Functions 1965 Dover Publications New York
9. P.M. Morse, and H. Feshbach Methods of Theoretical Physics 1953 McGraw-Hill New York
10. L. Fox, P. Herrici, and C. Moler Approximations and bounds for eigenvalues of elliptic operators SIAM Journal on Numerical Analysis 4 1967 89 102