本文以一個具有壓電材料貼附之 Circular Host Plate為研究對象。壓電圓形複合層板結構中主板是鋁板，在下方貼附一壓電片，計算結構的應力、應變場與連續位移條件推導出動能、應變能方程式，再以 Hamilton’s Principle 求得運動方程式與邊界條件，再求解單位元素的位移通解，進而求得形狀函數，由動能、應變能推導出剛性矩陣與質量矩陣，堆疊後經由 Lagrange’s equation 建立此系統的運動與電壓變化的統馭方程式，進而求出自然頻率，由動能、應變能推導出剛性矩陣與質量矩陣，堆疊後經由 Lagrange’s equation 建立此系統的運動與電壓變化的統馭方程式。
於結構施加一個均勻分佈負載，探討壓電板的厚度與面積與鋁板面積等參數下造成壓電複合層板的位移與電荷累積變化之影響。

This study presents the analysis of a circular piezoelectric plate subjected to a uniform load. The circular host plate is aluminum and the bottom surface bonded with a piezoelectric plate. The governing equations and the corresponding boundary conditions of the entire system are obtained by performing Hamilton’s principle. The finite element technique is set for analyzing the behavior of the entire plate. The shape functions of one element are obtained by solving the equations of static equilibrium. The effects of thickness and area of the piezoelectric layer on the displacement of the plate and the electric charge accumulation on the bottom piezoelectric layer are to be investigated.

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