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Linear Analysis of Large Deflection of Heated and Clamped Isotropic Layered Plate Under Initial Tension

C.F. Chen and J.C. Yu
Chung-Hua University, TW

Keywords:
micro-sensor plate, initial tension, large deflection, modified Bessel functions, edge effect

Abstract:
A simplified linear problem is studied for the large deflection of a clamped and heated isotropic circular layered plate under pretension and uniform loading (Fig. 1 and 2). Including a thermal consideration, governing equations based on von Karman large deflection theory are derived first, followed by neglecting the arising nonlinear term. The non-dimensional structural responses are found to be expressible in terms of modified Bessel functions similar to which available in literature but with a modified definition for the associated arguments. The presented approach is checked against a simplified case for a quasi-monolithic plate. Parametric studies including the effects of pretension, temperature, and ratio between Young’s moduli of the layers upon both the global and edge zone behavior of the plate are thoroughly explored. Compared to the previous study for a single-layered plate, visible effect due to the modulus’ ratio of the plate is detected, for the considered symmetric layered plate in a thermally elevated condition.

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