本論文提出以微分值積法(Differential Quadrature Method)來分析圓錐薄殼的自然振動行為。本論文採用Love的薄殼理論，以微分值積法的轉化規則將圓錐薄殼的偏微分運動方程式轉換成代數方程，再加上自然座標轉換的結果，將原始的微分權值矩陣轉換成新的一組權值矩陣，以分析圓錐薄殼的自然振動頻率。本研究的結果收歛性很好，且與文獻的結果比較差距皆相當小，驗證了使用新的權值矩陣於微分值積法來分析圓錐薄殼結構的準確性。文中針對開放式與封閉式圓錐薄殼在不同邊界條件以及不同半頂點角、不同圓錐切割比例對自然頻率的影響做數值比較與探討，結果顯示微分值積法於圓錐薄殼的自然振動分析非常方便及快速，並且具有良好的準確性。

In this thesis, the free vibration behavior of truncated conical shells based on the Love’s thin shell theory is investigated by using the differential quadrature method (DQM). By using the DQM, the equations of motion of free vibration of conical shells in the differential form are reduced into algebraic equations. A new weighting matrix is obtained through natural coordinate transformation. To evaluate the accuracy of the new weighting matrix used in DQM, numerical results obtained by the DQM are compared with those in the literature. Furthermore, effects of the semi-vertex angle and the ratio of truncation on the natural frequency of truncated conical shells are studied. Numerical results show the superb accuracy, efficiency, and convenience of the DQM.

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