本文應用無元素法（Meshfree method）中微分再生核近似法（Differential Reproducing Kernel Approximation method，DRKM）來分析探討彈性振動的問題。本方法是以離散點代替切割網格的方式來建構數值模型，再依所選取之基底函數向量以離散再生核近似之法則求出再生核形狀函數 與其各階導數，之後再配合中央差分法（CDM）、Wilson-θ法、Newmark 法以及Houbolt法對一維及二維之彈性振動問題進行分析。

本文的數據資料或與解析解，或與其他方式計算之數據進行比較，結果顯示令人滿意，驗證了微分再生核近似法在彈性振動分析上的可行性。

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