磁浮離心式壓縮機之轉子動力分析

轉子動力分析對於磁懸浮離心式壓縮機是非常重要，特別是對於轉子和控制器的設計而言，建立轉子動力分析模型是必要的。本研究目的為介紹高速流體機械轉子動力之轉子運動數學方程式建模與轉子轉子動力分析方法。首先，利用有限元素法將設計之高速主軸劃分為n個單元，並利用轉子運動方程式之動能與位能推導出而質量矩陣、陀螺儀矩陣與剛性矩陣。轉子動力分析為透過轉子模態、臨界轉速與陀螺儀效應得知，這些分析必須透過轉子運動方程式之特徵值與特徵向量取得。藉由轉子模態、臨界轉速與陀螺儀效應可清楚得知轉子設計是否符合轉子動力規範與提高主軸設計之可靠度。本研究之分析為透過MATLAB軟體完成，可提供從事高速流體機械之轉子設計可行性驗證之參考。

關鍵字

轉子動力分析；有限元素法；轉子動態方程式

並列摘要

A good knowledge of the dynamic behavior of rotors for the maglev centrifugal compressor is very important, particularly for the design of the rotor and controller, a good model for such mechanical systems is necessary. This study introduces the modeling of rotor motion equation and rotor dynamics analysis. First, Finite Element Method is used to divide into n elements and derive the mass matrix, gyroscope matrix, and stiffness matrix by using kinetic energy and potential energy of rotor dynamics equation. The rotor dynamics analysis can be obtained by mode shapes, critical speed, and gyroscope effects, these analysis should be derived by eigenvalue and eigenvector of rotor dynamics equation. The mode shapes, critical speed, and gyroscope effects can clearly know the rotor design satisfies rotor dynamics specification and improves the spindle reliability. The analysis of this study is achieved by MATLAB software, can provide a reference for the feasibility verification of rotor design for high-speed fluid machinery.