本文主要利用微分再生核近似法(Differential Reproducing Kernel Approximation Method, DRKM)分析樑大變形問題，為探討樑在大變位下之力學行為，於細長樑(Long beams)與小應變(Small strain)之基本假設下，引入Euler angle來描述初始與變形後幾何特性的改變，藉由考慮樑上受力之平衡與作用力與變形關係，推導出三維大變形樑之控制方程式，由十二個變量組成之非線性常微分方程。而後，並將三維之控制方程簡化為二維，由六個變量組成之非線性常微分方程，求解平面彎曲樑之相關問題。數值求解以Newton-Raphson method將控制方程式及邊界條件加以線性化，再引入微分再生核近似法進行聯立常微分方程組之迭代求解。

　　在數值算例中，求解樑大變形問題、挫屈後的變形行為、snap-through等問題，與可得之數值解或解析解做比較。

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