Free vibration analysis of plates taking into account rotary inertia and shear deformation via three alternative theories: a Lévy-type solution

Author:

Hache F.,Elishakoff I.,Challamel N.

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Computational Mechanics

Reference38 articles.

1. Kirchhoff, G.: Über das Gleichgewicht und die Bewegung einer elastischen Scheibe. J. Angew. Math. 40, 51–88 (1850) (in German)

2. Lee, K.H., Lim, G.T., Wang, C.M.: Thick Lévy plates re-visited. Int. J. Solids Struct. 39, 127–144 (2002)

3. Reissner, E.: The effect of transverse shear deformation on the bending of elastic plates. J., Appl. Mech. 12, A69–A77 (1946)

4. Uflyand, Y.S.: The propagation of waves in the transverse vibrations of bars and plates. Akad. Nauk SSSR Prikl. Math. Mech. 12, 287–461 (1948)

5. Mindlin, R.D.: Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. Trans. ASME J. Appl. Mech. 18, 31–38 (1951)

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