本文採用狀態空間法解析多層圓柱管受軸拉及內外圍壓問題，比較傳統解析法，狀態空間法不須假設應力函數，直接解析應力與位移場量，並可將問題延伸至三維。各層間連續條件與內外徑邊界條件，引用傳遞矩陣，可有系統的建構其關係式。圓管頂底若不考慮端點效應，其解位移無法滿足固定端邊界條件，應力解亦有所不足，本文滿足固定端位移邊界，並討論端點效應影響之範圍。

In this paper, laminated tubes under extension, internal and external pressure is analyzed on the basis of state space approach. In state space framework, we solve the displacement and stress fields more directly than the traditional method. Transfer matrix is established systematically to satisfy the lateral boundary conditions and interfacial continuous conditions. The influence of end effects is discussed with reference to the numerical results.

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