Theoretical analyses and numerical simulation of flexural vibration based on Reddy and modified higher-order plate theories for a transversely isotropic circular plate

Author:

Ji Ming,Wu Yi-Chuang,Ma Chien-Ching

Funder

Ministry of Science and Technology, Taiwan

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Computational Mechanics

Reference30 articles.

1. Chladni, E.F.F.: Entdeckungen über die Theorie des Klanges (1787)

2. Timoshenko, S., Woinowsky-Krieger, S.: Theory of Plates and Shells, 2nd edn. McGraw-Hill Book Company, New York (1959)

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

4. Voigt, W.: Bemerkungen zu dem Problem der transversalen Schwingungen Rechteckiger Platten, Nachrichten von der Königl. Gesellschaft der Wissenschaften und der Georg-August-Universität zu Göttingen, pp. 225–230 (1893).

5. Carrington, H.: The frequencies of vibration of flat circular plates fixed at the circumference. Lond. Edinb. Dublin Philos. Mag. J. Sci. 50(300), 1261–1264 (1925)

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