本文以有限元素法分析含黏彈支承之斜齒輪轉子軸承系統之動態行為。系統轉軸模擬為Timoshenko樑，即考慮轉軸的旋轉慣性及剪應變效應；軸承以線性彈簧及阻尼器來模擬；支承以黏彈支承模擬；轉盤假設為剛體，考慮其陀螺效應；齒輪對視為沿著壓力線連接的兩個剛性轉盤來模擬。本文探討不同的斜齒輪角度、黏彈支承勁度係數與損耗因子，對系統動態特性的影響。分析結果顯示，隨著斜齒輪角度的增加，系統的側向響應會隨之降低，而軸向響應隨之提升。當黏彈支承的損耗因子增加，系統的穩態響應隨之降低，且系統的自然頻率些微上升；當黏彈支承的勁度系數增加，系統的自然頻率隨之上升。

In this paper, the finite element method is used to analyze the dynamic behavior of the helical gear rotor bearing system with viscoelastic support. The system shaft is simulated as a Timoshenko beam, which considers the rotational inertia and shear strain effects of the shaft; the bearings are simulated by linear springs and dampers; the supports are simulated by viscoelastic supports; the turntable is assumed to be a rigid body and its gyroscopic effect is considered; Two rigid turntables connected by a pressure line are simulated.
This paper discusses the influence of different helical gear angles, viscoelastic support stiffness coefficients and loss factors on the dynamic response of the system. The analysis results show that as the angle of the helical gear increases, the lateral response of the system will decrease, while the axial response will increase. When the loss factor of the viscoelastic support increases, the steady-state response of the system decreases, and the natural frequency of the system rises slightly; when the stiffness coefficient of the viscoelastic support increases, the natural frequency of the system rises accordingly.

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