| Autor: |
ONWUKA, D. O., IBEARUGBULEM, O. M., ABAMARA, A. C., EZIEFULA, U. G., ONWUKA, S. U. |
| Předmět: |
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| Zdroj: |
Annals of the Faculty of Engineering Hunedoara - International Journal of Engineering; Feb2017, Vol. 15 Issue 1, p163-168, 6p |
| Abstrakt: |
In this article, a truncated Taylor-Maclaurin series was used in Rayleigh-Ritz method to analyze the free vibration of a rectangular thin orthotropic plate bounded by three simply supported edges and one clamped edge (i.e. SSSC plate). The total potential energy functional (which is a function of the strain energy and kinetic energy of a free vibrating plate), was derived from the theory of elasticity. Taylor-Maclaurin series truncated at the fourth term was used to obtain a shape function which satisfied all the boundary conditions of an SSSC plate under free vibration. The shape function was substituted into the total potential energy functional, and the resulting equation was eventually minimized. The equation for the fundamental frequency was then derived from the minimized equation, and fundamental frequencies computed for different aspect ratios, p (varying from 0.1 to 2.0 in steps of 0.1) and different flexural rigidity ratios, f. The results show that the average percentage differences in the values of the fundamental frequency for flexural rigidity ratios, f1, f2, and f3, are -3.404%, -2.029%, and -2.456%. Hence, the displacement function obtained for the SSSC plate is a very good approximation of the exact shape function for the plate. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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