Rayleigh's optimization concept and the use of sinusoidal co-ordinate functions

Journal of Sound and Vibration

Volumn 200, Issue 4, 1997, Pages 557-561

  Laura, P A A ^a   Bambill, D V ^a   Jederlinic, V A ^a   Rodriguez K ^a   Diaz P ^a  

^a Institute of Applied Mechanics Bahia Blanca   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CALCULATIONS; CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; MECHANICS; NATURAL FREQUENCIES; OPTIMIZATION; PLATES (STRUCTURAL COMPONENTS); STRAIN;

FREQUENCY VIBRATION; KINETIC ENERGY; POISSON RATIO; RAYLEIGH-RITZ METHOD; SINUSOIDAL COORDINATE FUNCTIONS;

VIBRATIONS (MECHANICAL);

EID: 0031555834     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0690     Document Type: Editorial

References (9)

1. LORD RAYLEIGH (J. W. STRUTT) 1894 Theory of Sound, Vol. I, London: Macmillan; Second Edition. (Reprinted 1945, New York; Dover. See pp. 112-113.
2. P. A. A. LAURA and V. H. CORTINEZ 1986 Journal of the American Institute of Chemical Engineers 32, 1025-1026. Optimization of eigenvalues when using the Galerkin method.
3. C. W. BERT 1986 Proceedings of the 4th International Symposium on Numerical Methods in Engineering, Atlanta, U.S.A. Improved approximate methods for analyzing steady state heat conduction problems.
4. A. STODOLA 1927 Steam and Gas Turbines (translation of German edition). New York: McGraw-Hill. See p. 1145.
5. L. PAULING and E. BRIGHT-WILSON 1935 Introduction to Quantum Mechanics with Applications to Chemistry. New York: McGraw-Hill.
6. S. TIMOSHENKO and J. N. GOODIER 1951 Theory of Elasticity. New York: McGraw-Hill. See p. 285.
7. P. A. A. LAURA and V. H. CORTINEZ 1989 Journal of Sound and Vibration 129, 520-522. Use of exponential coordinate functions containing an optimization parameter when solving mechanical vibrations problems.
8. R. SCHMIDT 1985 Journal of Engineering Mechanics 112, 1110-1112. Discussion of "Improved technique for estimating buckling loads".
9. A. W. LEISSA 1969 Vibration of Plates, NASA SP160.