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EVALUATION OF A NEW SHEAR COEFFICIENT FOR DYNAMIC ANALYSIS OF HOMOGENEOUS ISOTROPIC PLATES AND BEAMS | ||
| AL-TAQANI | ||
| Article 1, Volume 23, Issue 1, 2010, Pages 46-55 | ||
| Author | ||
| Kamal Mustafa Kamal Saify | ||
| Abstract | ||
| A new developed formula for the shear deformation coefficient is successfully displayed in this work. The new expression is the more accurate one among all previous types in the dynamic analysis field of homogeneous isotropic beams and plates. The formalization of the new expression is based on the partial equating of the recent exact 3-dimensional frequency equation of rectangular plate with the correspondent approximate equation of the first-order shear plate theory of Mindlin. The modified shear coefficient is verified numerically with some typical examples of uniform free plates and bars oscillating in flexural shear modes. The data comparison of the theoretical resonant frequencies, using variety of familiar shear coefficients in literature, with the exact and experiment frequency values show, with out doubts, the excellent-standing of the new shear coefficient comparing with all other formulae till the appearance time of this paper | ||
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