本文內容主要為推導出一套適合分析大變位的平板理論，並配合使用「微分再生核近似法(Differential Reproducing Kernel Approximation Method ,DRKM)」直接處理平板二維偏微分聯立方程組。數值求解時配合Newton-Raphson Method將平板平衡方程式以及邊界條件線性化，利用迭代方式求得平板變形後最終狀態的位置，進而分析變形後的各項力學行為。數值範例分析三種不同型形式的平板問題：懸臂板受純彎矩作用、四邊自由端受彎矩作用與四邊固定端受均佈載重作用，利用本文所得到的數值解與理論解或線性理論之解析解對照比較，探討非線性理論與線性理論的差異性。

In this paper, form the configurations of the plate before and after deformed, we derive its strains and equilibrium equations under large displacement. Using the coordinate of the middle surface of the plate and its transverse shear strains as the field functions, five nonlinear partial differential equations are established for the system. To solve those nonlinear equations, we adopt the Newton-Raphson method to linearlize the differential equations and using the differential reproducing kernel method to solve the linearlized differential equations. A numerical solution for plate under pure bending is examined with the analytic solution. Furthermore, some numerical solutions for the plate under various loads are comparing with the solutions derived from classic plate theory. The result shows that present theory is useful in analysis of the plate under large displacement.

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