行星齒輪嚙合剛性分析與動態研究

行星齒輪組具有結構緊湊、乘載能力強、高傳遞功率-體積比、以及輸出入軸易達同心設計等優點，故被廣泛應用於各類型機械傳動。隨著科技日益進步，業界對行星齒輪組加速度、振動噪音、傳遞效率等規格要求日益提高，使行星齒輪組之動態研究與分析相應重要。本文利用空間幾何方法計算2K-H型行星齒輪組各單元齒輪輪齒間之時變接觸線長度，再利用有限元素分析軟體ANSYS模擬計算其等效嚙合剛度，並將之輸入所設計的齒輪對之嚙合簡化模型，最後利用有限元素分析軟體ANSYS Workbench內建之剛體動力學模組對此模型進行動態分析，並與LS-DYNA所計算之結果作比較，以期望得到齒輪對之運轉振動情形並證明簡化模型可有效地被用來取代完整模型的分析，希望盡可能改善行星齒輪系統運轉時之動態品質。

關鍵字

LS-DYNA ； ANSYS ；有限元素分析；行星齒輪；簡化模型

並列摘要

The planetary gear system has several advantages: compact structure, high loading capacity and power/volume ratio, and easily achieve concentric design for input and output axes, so it’s widely used for various type of mechanical drive. The requirement of operating vibration, noise, and mechanical efficiency of planetary gear system become higher and higher as technology evolved; thus, the detailed dynamic analysis of the planetary gearing system have become crucial than before. This paper is trying to calculate the time-varying contact line of the 2K-H planetary gearing system model by 3D gear geometry, and using finite element analysis software, ANSYS, to simulate gear’s meshing stiffness. And the ANSYS stiffness result is taken as the spring stiffness to the simplified rotor-spring dynamic model of planetary gear. The dynamic response of this simplified model is compared with the result obtained by the ANSYS Workbench and the result obtained by the LS-DYNA. The numerical result showed that the dynamic response of gear pair simulated by the proposed simplified dynamic model is similar to the rotational vibration obtained by LS-DYNA and ANSYS. The proposed simplified model can be used to improve the dynamic quality of planetary gear system.

並列關鍵字

LS-DYNA ； ANSYS ； finite element analysis ； planetary gear ； simplified model

參考文獻

[3] R. Cornell, “Compliance and stress sensitivity of spur gear teeth, “ ASME, Transactions, Journal of Mechanical Design 103 pp. 447-459,1981.

[4] N. K. Arakere and C. Nataraj, “Vibration of high-speed spur gear webs,” ASME Journal of Vibration and Acoustics, Vol. 120, pp. 791-800, 1998.

[5] M. Amabili and A. Rivola,“ Dynamic analysis of spur gear pairs: Steady-state response and stability of the SDOF model with time-varying meshing damping, ” Mechanical Systems and Signal Processing, 3, pp.375–390, 3 ,1997.

[6] A. Kahraman, R. Singh, “Interactions between Time-varying Mesh Stiffness and Clearance Non-Linearities in a Geared System ”, Journal of Sound and Vibration, Vol. 146,135–156, 1991.

[9] Song He, Rajendra Gunda, Rajendra Singh, “Inclusion of sliding friction in contact dynamics model for helical gears”, ASME Journal of Mechanical Design 129 48-57. doi: 10.1115/1.2359474, 2007.

國際替代計量

行星齒輪嚙合剛性分析與動態研究

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