An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates

作者: S. Srinivas , C.V. Joga Rao , A.K. Rao

DOI: 10.1016/0022-460X(70)90089-1

关键词: Elasticity (physics)Lateral surfacePlate theoryEigenvalues and eigenvectorsGeometryMathematical analysisIsotropyInfinite setTranscendental equationMathematicsDeformation theory

摘要: … , and hence it becomes inaccurate for thicker plates. Mindlin [l] … to the vibrations of thick rectangular plates with two opposite … of thickness shear vibration in an infinite plate. In [2] a simply-…

参考文章(7)
A. Schacknow, R. D. Mindlin, H. Deresiewicz, FLEXURAL VIBRATIONS OF RECTANGULAR PLATES ,(1955)
William E Boyce, Richard C DiPrima, Douglas B Meade, Elementary Differential Equations and Boundary Value Problems ,(1969)
Karl S. Pister, Flexural Vibration of Thin Laminated Plates The Journal of the Acoustical Society of America. ,vol. 31, pp. 233- 234 ,(1959) , 10.1121/1.1907696
S. SRINIVAS, A. K. RAO, Buckling of thick rectangular plates. AIAA Journal. ,vol. 7, pp. 1645- 1646 ,(1969) , 10.2514/3.5463
S. Srinivas, Akella Kameswara Rao, C. V. Joga Rao, Flexure of Simply Supported Thick Homogeneous and Laminated Rectangular Plates ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik. ,vol. 49, pp. 449- 458 ,(1969) , 10.1002/ZAMM.19690490802
R D Mindlin, R D Mindlin, Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates Journal of Applied Mechanics-transactions of The Asme. ,vol. 18, pp. 31- 38 ,(1951) , 10.1115/1.4010217
Stephen P Timoshenko, James Norman Goodier, Theory of elasticity ,(1934)