Nonlinear Dynamics of Rotor Bearing System in Deformable Housing Subjected to Stator Rubs and Contour Error of Shaft Due to Manufacturing

本研究為提供一研究方向，可解析可撓性轉子系統具有製造時輪廓誤差與轉動時與靜子磨擦之動態非線性分析，一般轉子系統應用於轉動機械上，因為主軸具有可撓性及加上自激振動的旋動效應皆會有偏於原中心線現象，致使主軸之轉子與靜子（機殼）有磨擦接觸反應。因此有非線性之間隙接觸機械模式之外力激發，而本文亦探討轉子系統之工件在初始作精密加工時，於切削時因工具機本身切削，而預留在工件上的誤差亦同時加入於非線性之間隙接觸機械模式上、一併作轉子系統動態反應，其主要原因為源於工具機之輪廓誤差加工所導致在工件上之伴隨效應。在此轉子系統之動態非線性分析，因上述間隙接觸機械模式之偶合及轉動件因平衡後之殘餘不平衡所激發轉子動態反應，結果之非線性動態分析可包含混沌解、週期解、單解、複數解、擬似週期解，對於上述之反應解，將對轉子系統進行考慮有製造時輪廓誤差與轉動時與靜子磨擦時，可得到精確之預期反應，從而提供製造業者在進行轉子系統啟動操作轉速設計時之參數分析以避免非線性週期反應過度發生，造成轉動機械失效。

關鍵字

無資料

並列摘要

Nonlinear dynamic response can occur in turbo-machinery that contains self-excited force due to any deflection of the shaft away from the center of the housing or intermittent contact friction due to clearance between rotor and stator, and hysteresis from rubbing between assemblies of shrink or contour error of shaft due to machining. The equation of motion of non-linearity effects could be appeared in the stiffness term (e.g. softening spring and harden spring) or in damping term (e.g. self-excited motion, or aerodynamic flow induced vibration). In this study, we emphasis the nonlinear restoring force effects of the rotor dynamics between rotor and stator and in the deformable housing of the mathematical model. Chaotic motion could be found by changing parameters of the nonlinear stiffness and damping terms in different operation speed regimes. Multiple-period solutions, simple-period, quasi-period and chaotic responses of the rotor bearing system are shown and discussed. Among all the types of period solutions, the multiple-solutions and chaos have large influence on the rotor bearing system. X-Y circular contour error of the shaft due to machining of manufacture involved in dynamic equations was also used to find the non-linear response in rotor bearing system.

並列關鍵字

rotor dynamic ； nonlinear response

國際替代計量

Nonlinear Dynamics of Rotor Bearing System in Deformable Housing Subjected to Stator Rubs and Contour Error of Shaft Due to Manufacturing

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