Natural vibrations of thick circular plate based on the modified Mindlin theory

• Autorzy: Senjanovic I. , Hadzic N. , Vladimir N. , Cho D.-S.
• Języki publikacji: EN

Abstrakty

EN

Outline of the modified Mindlin theory is presented in which the Mindlin mathematical model with three differential equations of motion for total deflection and rotations is decomposed into a single equation for pure bending vibrations with transverse shear and rotary inertia effects and two differential equations for in-plane shear vibrations. The governing equations are transformed from orthogonal to polar coordinate system for the purpose of circular plate vibration analysis. The fourth order differential equation of flexural vibrations is split further into two second order equations of Bessel type. Also, the in-plane shear differential equations are transformed to Bessel equation by introducing displacement potential functions. The exact values of natural frequencies are listed and compared with FEM results.

Słowa kluczowe

EN

thick circular plate; modified Mindlin theory; flexural vibration; in-plane shear vibration; analytical solutions; FEM

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2014
• Tom: Vol. 66, nr 6
• Strony: 389--409
• Opis fizyczny: Bibliogr. 41 poz., rys. kolor

Twórcy

autor

Senjanovic I.

• Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lučića 5, 10000 Zagreb, Croatia

autor

Hadzic N.

• Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lučića 5, 10000 Zagreb, Croatia

autor

Vladimir N.

• Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lučića 5, 10000 Zagreb, Croatia

autor

Cho D.-S.

• Pusan National University, San 30 Jangjeon-dong Guemjeong-gu, Busan, 609-735, Korea

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