此篇論文在於探討非線性邊界樑與非線彈性基礎樑之靜態問題。本文利用移位函數求解非線性邊界問題。以及運用Adomian Decomposition Method直接求解非線性彈性基礎樑，本文所提出的方法，不需要經過任何簡化的步驟即可對強非線性系統求解，並能得到精度相當高的近似解析解，且可探討非線性參數對系統的影響。

The study discuss the static analysis of beam with nonlinear boundary conditions and nonlinear foundation. In this paper, shifting function is used to solve nonlinear boundary problem, and Adomian Decomposition method is directly applied to nonlinear foundation problem. Without any assumption and simplifying for strong nonlinear system, one can obtain approximate analytic solutions with good precision, and can investigate the influence of nonlinear parameters on system by the present method.

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