本研究以有限元素法來分析含黏彈支承之轉子軸承系統的動態響應。系統的轉軸模擬為Timoshenko樑，即考慮轉軸之旋轉慣性(rotary inertia)及剪應變效應；假設轉盤為剛體，並考慮質量偏心及陀螺效應(gyroscopic effect) ；軸承以線性彈簧及阻尼器來模擬；支承則以黏彈支承來模擬。本文探討不同的黏彈支承勁度係數與損耗因子(loss factor)，對系統自然頻率及穩態響應的影響。數值結果顯示，當黏彈支承的損耗因子增加，系統的穩態響應隨之降低，且系統之自然頻率隨之增加；當黏彈支承的勁度係數增加，系統的自然頻率隨之增加。

Dynamic response of a rotor-bearing system with viscoelastic supports is analyzed by the finite element method in this thesis. Rotating shaft of the system is modeled as Timoshenko beam, which includes the effects of rotary inertia and shear deformation. Disk is considered to be rigid with its mass eccentricity and gyroscopic effect taken into account. Bearings are considered to be linear and modeled as spring-damper sets. Supports are considered to be viscoelastic supports. The effects of stiffness coefficient and loss factor of viscoelastic support on the resonance frequency and steady-state response of the system are investigated. Numerical results of this research show that when either the loss factor or the stiffness coefficient of viscoelastic support increases, the natural frequencies of the system increase and the steady-state response decreases.

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