摘要

近年來DQEM(數值積分表示微分元素法)在陳長鈕老師的開發研究下已成為一種重要的數值結構分析技巧，而且能有系統的編寫成求解的電腦程式。
DQEM(數值積分表示微分元素法)在結構分析上具有高度的數值耦合特性，在分析時所需選取的網格分割點也較少，不但可以降低運算過程中所耗費的時間，並可得到較好的收斂速度和準確性。
本篇論文將應用DQEM(數值積分表示微分元素法)離散法將剪變形樑之統御方程式離散化，並考慮元素內部的連接條件和邊界條件，經總體組合後再使用EDQ(延伸數值積分表示微分法)時間積分法求解具剪變形之樑的動態反應，並應用於數個不同的實例分析以驗證此法的精確性。

Abstract
In recent years, the differential quadrature element method(DQEM) proposed by Dr. C.N. Chen has been an important method for analyzing the structure problems. The numerical procedure of this method can systematically implemented into a computer program.
The coupling of solutions at discrete points is strong by using the differential quadrature element method. Thus, accurate and convergence can be assured by using less discrete points and less arithmetic operations which can reduce the computer CPU time required.
In this work, the DQ discretization of shear deformable bean is carried out on an element-basis. The discretized governing differential equations defined on the elements, transition conditions on inter-element boundaries and boundary conditions are assembled to obtain an overall algebric systems. Then, using the EDQ time integration algorithm to solve the dis-crete equations of motion of structural dynamics problems. Sample problems are analyzed, and prove that the EDQ analysis model is excellent.

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