由於複合材料積層板優異的機械性質，近幾年來已被廣泛應用於結構設計上。結構在使用過程中常承受隨機負荷，本論文利用有限元素模型複合材料研究積層板承受隨機激振的隨機響應。文中利用Newmark演算法計算承受白噪音激振系統的共變異矩陣響應。如果激振為非白噪音過程，則導入一整形濾波器，使其以白噪音激振為輸入產生一個功譜符合我們要求的非白噪音輸出。文中以數個數值範例探討不同邊界條件之積層板的層數及疊層角度對積層板位移與加速度均方值的影響。

The laminated composite plate is being used widely on structure design in resent years due to its outstanding mechanical properties. The structures are often subjected to random loads during their performance. In this thesis the random response of laminated composite plate modeled with finite elements and excited by random processes is studied. The Newmark algorithm is applied to calculate the covariance matrix response of the system subjected to white noise excitation. For cases where the excitation is non-white noise process, we introduce ‘shaping filters’ which operate white noises as input to generate excitation processes for the system, with the required power spectra of non-white noise output. The several numerical examples are illustrated to investigate the influence of number layers and the lamination angle on the mean square values of displacement and acceleration of laminated composite plates for various boundary conditions.

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