本研究之題目為功能梯度板在溫度環境下的挫屈分析。主要是以Fourier Series建立x向對邊與y向對邊皆為簡支端之FGM板受到軸力與溫度效應作用之平衡與諧和方程式，而求出挫屈方程式及挫屈溫度變化值。在文中探討了三種不同形式的材料體積分佈函數，分別假設功能梯度板的楊氏模數在厚度方向呈函數變化，柏松比與熱膨脹係數皆為常數。包括冪次函數分佈(P-FGM)、S型函數(S-FGM)與指數型函數(E-FGM)之挫屈行為，更延伸至濺鍍板與介面塗層板的挫屈行為。在求解的過程中，溫度效應呈現一個溫度變化量 與餘弦函數的乘積作用於FGM板下，所推導出之挫屈方程式可以求得不同之FGM複合板的挫屈溫度 與挫屈載重，然後與文獻中所得之均質板的挫屈溫度與挫屈載重進行比較。研究結果顯示，FGM複合板的挫屈溫度 與挫屈載重會隨著長寬比 、楊氏模數比值 、材料指標p值而變化，在相同厚度之FGM複合板，以不同之配置形式之板下，所得到之挫屈溫度 與挫屈載重當然也不相同。

In this thesis,Topic is the buckling analysis of Functionally Graded Material Plates in temperature environment.Mainly with Fourier Series to establish the equilibrium and compatibility equation for FGM rectangular plate subjected to temperature effects or axial pressure and subjected to simple-support at x-direction and y-direction side. Calculated buckling equation and buckling temperature difference. In the text, discusses three different forms of material volume distribution function of the plate, respectively, assuming functionally graded plate Young's modulus as a function in the thickness direction of the change ,the Coefficient of thermal expansion and the Possion’s ratio of the plate remains constant , including the power law distribution function (P-FGM),S-type function (S-FGM) and index function (E-FGM) of buckling behavior ,Extends to buckling behavior of FGM coated plate and FGM undercoated plate. In the process of solving ,temperature effect rendered the product of temperature difference and cosine function subjected to FGM plate. The equations are derived for the buckling, it can be obtained buckling temperature and buckling load of different FGM composite plate. Then in the literature obtained the homogeneous plate buckling temperature and buckling load for comparison. The results show , FGM composite plate buckling load and buckling temperature will vary with different parameters , such as: the aspect ratio , the ratio of the Young's modulus and the material index p value.

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