臺灣博碩士論文加值系統

本文的主要目的在於研究攜帶有單個或多個偏心集中質量(eccentric concentrated masses)之船用螺旋槳(或船用推進器)在旋轉時，對船舶推進軸系所引起的振動行為。為了達到上述目的，本文先將整個船舶推進軸系（包括旋轉軸與船用螺旋槳）化簡為一個三自由度的扭轉與側向耦合振動系統，然後推導整個船舶推進軸系之總動能與總位能的數學式，接著應用拉格朗日方程式(Lagrange’s equations)來推導整個船舶推進軸系的運動方程式，以及整個振動系統的質量矩陣、阻尼矩陣、勁度矩陣與外力向量。最後，本文利用Newmark直接積分法來求解船舶推進軸系的強迫振動反應。一些和本研究主題相關的參數（例如：偏心集中質量的大小、數目與分佈情形）皆在本文加以探討。由數值結果可以發現，船用螺旋槳的偏心集中質量對船舶推進軸系的振動特性有很大的影響。

The object of this thesis is to study the vibration behaviour of the propulsive shafting system induced by a rotating marine propeller carrying single or multiple eccentric concentrated masses. To this end, the entire propulsive shafting system is firstly represented as a three-degree-of-freedom torsional-and-lateral-coupled vibration system. Then, the expressions for total kinetic energy and total potential energy of the entire propulsive shafting system are derived. Next, based on the theory of Lagrange’s equations, the equations of motion of the entire propulsive shafting system are derived and the mass matrix, damping matrix, stiffness matrix and external force vector of the entire vibrating system are determined. Finally, the forced vibration responses of the propulsion shafting system are obtained by solving the last equations of motion with Newmark direct integration method. Some factors closely relating to the current research topic, such as mass, total number and distribution of eccentric concentrated mass, etc, are investigated. From the numerical results, it is found that the influence of eccentric mass(es) of the propeller on the vibration characteristics of the propulsive shafting system is significant.

摘 要 I
ABSTRACT II
誌 謝 III
目 錄 IV
表 目 錄 VII
圖 目 錄 VIII
符 號 說 明 XI
第一章 緒論 1
1.1 文獻回顧 1
1.2 研究方法 3
第二章 攜帶有多個偏心集中質量螺旋槳之軸系的運動方程式 5
2.1 系統運動方程式的推導 5
2.2 系統的整體性質矩陣 10
2.3 系統的強迫振動反應 13
2.4 結論 14
第三章 攜帶有單個偏心集中質量螺旋槳之軸系的強迫振動分析 15
3.1 攜帶有單個偏心集中質量螺旋槳之軸系的性質矩陣 15
3.2 本文所提方法的可靠性 17
3.3 旋轉軸勁度的影響 18
3.4 軸承彈簧常數的影響 19
3.5 結論 19
第四章 攜帶有多個偏心集中質量螺旋槳之軸系的強迫振動分析 30
4.1 多個偏心集中質量位置的影響 30
4.2 多個偏心集中質量大小的影響 31
4.3 偏心集中質量總數目的影響 32
4.4 多個偏心集中質量重心的影響 33
4.5 結論 35
第五章 結論與建議 55
5.1 結論 55
5.2 建議 56
參 考 文 獻 58
附錄一 NEWMARK直接積分法的基本理論 61

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