A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Free vibrations of beams of bilinearly varying thickness
Several studies are available on vibrating beams of discontinuously varying thickness but, on the other hand, it appears that the case of the beams with thickness varying in a bilinear fashion has not been thoroughly studied. Curiously enough, several studies are available on vibrating rectangular and circular plates of bilinearly varying thickness. The present study deals with the analysis of the transverse vibrations of beams of non-uniform thickness. The following situations have been considered: simply supported, simply supported-clamped, clamped-simply supported and clamped-clamped. The fundamental frequency of transverse vibration is determined using the optimized Rayleigh-Ritz method, the differential quadrature approach and the finite element technique. It is shown that the first approach yields fundamental eigenvalues which are in excellent agreement with finite element predictions while certain discrepancies are found when using the differential quadrature technique. Finally, two higher natural frequencies are calculated using the finite element algorithmic procedure.
Free vibrations of beams of bilinearly varying thickness
Several studies are available on vibrating beams of discontinuously varying thickness but, on the other hand, it appears that the case of the beams with thickness varying in a bilinear fashion has not been thoroughly studied. Curiously enough, several studies are available on vibrating rectangular and circular plates of bilinearly varying thickness. The present study deals with the analysis of the transverse vibrations of beams of non-uniform thickness. The following situations have been considered: simply supported, simply supported-clamped, clamped-simply supported and clamped-clamped. The fundamental frequency of transverse vibration is determined using the optimized Rayleigh-Ritz method, the differential quadrature approach and the finite element technique. It is shown that the first approach yields fundamental eigenvalues which are in excellent agreement with finite element predictions while certain discrepancies are found when using the differential quadrature technique. Finally, two higher natural frequencies are calculated using the finite element algorithmic procedure.
Free vibrations of beams of bilinearly varying thickness
Freie Schwingungen von Balken mit bilinear vaiierender Dicke
Laura, P.A.A. (author) / Gutierrez, R.H. (author) / Rossi, R.E. (author)
Ocean Engineering ; 23 ; 1-6
1996
6 Seiten, 3 Bilder, 3 Tabellen, 5 Quellen
Article (Journal)
English
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