The Influence of Preform on the Vibration Mode of a Thin Plateby Qiulin Yu, Univ of Toledo, Toledo, United States,
Naser Mostaghel, Univ of Toledo, Toledo, United States,
Kuan-Chen Fu, Univ of Toledo, Toledo, United States,
Abstract: In this paper, an algorithm is developed for the calculation of the vibration mode of a preformed thin plate. The principal governing equations are derived by using the large-deflection theory and the equilibrium condition of the plate. With proper simplification and linearization, the equation leads to a special type of eigenvalue problem which can be solved by means of a weighted residual method. The influence of preform on the vibration mode is illustrated by a hinge supported rectangular thin plate. The computational results reveal the interesting phenomenon that the natural frequencies are moving upward when the plate is preformed into the shape of a specific mode of vibration.
Subject Headings: Plates | Vibration | Eigenvalues | Structural analysis | Computer models | Algorithms | Displacement (mechanics) | Equilibrium
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