Summary
The equations of deflection of a thick plate presented in a previous paper are solved for an infinite plate under sinusoidally distributed pressure acting at its upper surface.
The deflection and stress of the plate are calculated from the solutions of the approximate equations. The results are compared with those calculated from the exact solution and also with those obtained from other approximate methods.
Übersicht
Die in einer früheren Arbeit gegebenen Gleichungen für die Durchbiegung einer dicken Platte werden für den Fall einer unendlichen Platte gelöst, deren Deckfläche durch einen sinusförmigen verteilten Druck belastet wird.
Aus den Lösungen der Näherungsgleichungen werden die Durchbiegung und die Spannung einer dicken Platte berechnet. Die Ergebnisse werden mit dem aus der exakten Lösung erlangten Resultat sowie mit den aus anderen Näherungsverfahren erhaltenen Ergebnissen verglichen.
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References
Igarashi, S.; Takizawa, É. I.: On the equation of deflection of a thick plate. Ing. Arch. 54 (1984) 465–475
Little, R. M.: Elasticity. Englewood Cliffs, N.J.: Prentice-Hall 1973
Lo, K. H.; Christensen, R. M.; Wu, E. M.: A high-order theory of plate deformation. Part 1: Homogeneous plates. J. Appl. Mech. 44 (1977) 663–668
Reissner, E.: The effect of transverse shear deformation on the bending of elastic plates. J. Appl. Mech. 12 (1945) A 69–77
Ambartsumyan, S.A.: Theory of anisotropic plates (translated from Russian into Japanese by Kamiya, N. and ed. Ôhashi, Y.). Tokyo: Morikita 1975
Essenburg, F.: On the significance of the inclusion of the effect of transverse normal strain in problems involving beams with surface constraints. J. Appl. Mech. 42 (1975) 127–132
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Igarashi, S., Shibukawa, K. & Takizawa, É.I. On the deflection of a thick plate under a sinusoidal load. Ing. arch 55, 333–341 (1985). https://doi.org/10.1007/BF00532569
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DOI: https://doi.org/10.1007/BF00532569