The dynamic equations of orthotropic laminated plates are derived from the concepts of Timoshenko's beam theory to include the effects of transverse shear and rotatory inertia. The propagation of flexural waves is discussed. The transient response of a rectangular plate to a normal impact is investigated. We also consider briefly the influence of internal friction related to the damping on the response of the plate.
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References
1.
J. Miklowitz , "Flexural stress waves in an infinite elastic plate due to a sudden applied concentrated transverse load," J. Appl. Mech., Vol. 27 (1960), P. 681.
2.
W.W. St. Cyr and R.S. Weiner, "Free and forced axisymetric motion of clamped viscoelastic circular plates," Developments, in Mechanics, Vol. 5 (1969), edited by H. J. Weiss , etc., The Iowa StateUniv. Press, Ames, p. 469.
3.
N. David and W. Lawhead, "Transient analysis of oblique impact on plates," J. Mech. Phys. Solids, Vol. 13 ( 1965), p. 199.
4.
J. Y-L. Ho, "Impact mechanics of isotropic thick plates," D. Sc. thesis, Washington Univ., Saint Louis, Mo., ( 1969).
J.M. Whitney , "The effect of transverse shear deformation on the bending of laminated plates," J. Comp. Mat., Vol. 3 (1969), p. 534.
7.
S. Tomoshenko , "On the correction for shear of the differential equation for transverse vibrations of prismatic bars," Phil. Mag., series 6, Vol. 41 (1921), p. 744.
8.
E. Reissner , "The effect of transverse shear deformation on the bending of elastic plates," J. Appl. Mech., Trans. ASME, Vol. 67 (1945), p.A-69.
9.
E. Reissner , "On bending of elastic plates," Q. Appl. Math., Vol. 5 (1947), p. 55.
10.
R.D. Mindlin , "Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates," J. Appl. Mech. , Vol. 18 (1951), p. 31.
