本研究主要以彎矩分配法分析S-FGM單向連續板及S-FGM雙向連續板之彎矩。對於FGM單向連續板之彎矩分配法，由文獻可得不同邊界條件下之勁度、傳遞係數及固定端彎矩，再根據彎矩分配法之概念可求得分段勁度比，最後即可進行彎矩之分配以及傳遞，得到各板端中點彎矩。而對於雙向FGM板之彎矩分配法則是根據重疊法之概念，將其分解為數個各自獨立的單跨板，再由變形諧和條件，將各個單跨板進行疊加，再配合勁度法，建立方程式，即可推導出八種不同邊界條件下之勁度及傳遞係數，且可將其應用於實際案例中。在本文中提出兩種不同案例進行分析，第一種為2跨*2跨之FGM連續板；第二種為3跨*3跨之FGM連續板，由彎矩分配法求出各板端中點彎矩。而對於此兩種問題皆以有限元素法軟體MSC NASTRAN之結果進行相互比較，以驗證彎矩分配法之正確性。

The main purpose of the thesis is to analyze the FGM one-way continuous plate and FGM two-way continuous plate by the moment distribution method. For the moment distribution method of FGM one-way continuous plate, the stiffness, carry over factor(COF) and fixed end moment(FM) under different boundary conditions can be obtained from the literature, and then according to the concept of the moment distribution method, the stiffness ratio of the segment can be obtained. Finally, the distribution and transmission of the bending moment can be carried out, and the bending moment at the midpoint of each plate end can be obtained. The moment distribution method for two-way FGM plates is based on the concept of superposition method, which is divided into several independent single-span plates, and then the compatibility conditions are used to superimpose each single-span plate, and then use the stiffness method to establish equations, derive the stiffness and carry over factor under eight boundary conditions, which can be applied to actual case. In this article, the moment distribution method is used to find the midpoint bending moment at the end of the plate which is under the two different conditions, the first one is two-by-two FGM continuous plate, and the second one is three-by-three FGM continuous plate. The analytical solutions are compared with the numerical solutions which are obtained by MSC NASTRAN software of finite element method.

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