Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/2246
標題: 有限元素法在運動齒輪結構分析上之應用
The Structural Analysis of Motion Gear by the Finite Element
作者: 陳韋宏
Chen, Wei Hung
關鍵字: Gear;齒輪;Finite Element Method;Contact Stress;Bending Stress;Deformation;有限元素法;接觸應力;彎曲應力;變形
出版社: 機械工程學系所
引用: [1] 廖榮釗,“ 齒輪強度計算",機械月刊雜誌社,機械月刊,1995/08/01。 [2] 朱孝錄、鄂中凱, “齒輪承載能力分析,”高等教育出版社,河北省(1992)。 [3] 施鴻文,碩士論文 “漸開線正齒輪應力分析,” 國立清華大學(1995)。 [4] 吳思漢、林育民、蔡錫錚,“平行軸錐形齒輪對齒根應力特性之探討”,中華民國機構與機器原理學會第七屆全國機構與機器設計學術研討會論文集,台南,第326-333 頁,2004。 [5] H. D. Gardner, “The Mechanism of china’s south-pointing carriage,” Journal of the Institute of Navigation, Vol. 40, no.1, 1993. [6] C. Bagci, “The elementary theory for the synthesis of constant-direction pointingchariots (or rotational neutralizers),” Gear Technology, pp. 31-35, 1988. [7] K. L. Johnson, “Contact Mechanics,” Cambridge University Press, New York(1985)。 [8] Q. Lian, “Application of FEA in the design and TCA of cylindrical gear drives with crowned tooth geometry,” The Gleason Works, USA, pp. 104-109, 2006. [9] C. B. Tsay and Z. H. Fong, “Computer simulation and stress analysis of helical gears with pinion circular arc teeth and gear involute teeth,” Mechanism and Machine Theory, Vol. 26, No. 2, pp. 145-154, 1991. [10] C. B. Tsay and Z. H. Fong, “The mathematical modal of eildhaber-novikov gear applicable to finite element stress analysis,” Mathematical Computer Modeling, Vol. 12, No. 8, pp. 939-946, 1989. [11] V. Simon, “FEM stress analysis in hypoid gears,” Mechanism and Machine Theory, Vol. 35, pp. 1197-1220, 2000. [12] J. L. Pedrero, A. Fuentes and M. Estrems, “Approximate method for the determination of the bending strength geometry factor for external spur and helical gear teeth,” Journal of Mechanical Design, ASME, Vol. 122, pp. 331-336, 2000. [13] I. H. Filliz and O. Eyercioglu, “Evaluation of Gear Tooth stress by Finite Element Method,” Journal of Engineering for Industry, Vol.117, pp.232-239, 1995. [14] F. L. Livtin and A. Fuentes, Gear Geometry and Applied Theory, Cambridge University Press, New York, 2004. [15] J. Brauer, “A general finite element model of involute gears,” Finite Elements in Analysis and Design, Vol. 40, pp. 1857-1872, 2004. [16] Bahattin Kanber, “Analysis of Spur Gears by Coupling Finite and Boundary Element Methods,” Mechanics Based Design of Structures and Machines, 34: 307–324, 2006 [17] C. N. Baronet and G. V. Tordion, “Exct stress Distribution in Standard Gear Teeth and Geometry Factor,” Journal of Engineering for Industry, Vol.95, pp.1159-1163, 1973. [18] J. O. Smith and C. K. Liu, “Stress Due to Tangential and Normal Loads on an Elastic Solid with Application to Some Contact Stress Problem,” Journal of Applied Mechanics, Vol.20, pp.157-166, 1953. [19] Shuting Li, “Finite element analyses for contact strength and bending strength of a pair of spur gears with machining errors,assembly errors and tooth modifications,” Mechanism and Machine Theory 42 88–114, 2007. [20] Tengjiao Lin and H. Ou and Runfang Li, “A finite element method for 3D static and dynamiccontact/impact analysis of gear drives,” Comput. Methods Appl. Mech. Engrg. 196 1716–1728, 2007. [21] Andrzej kawalec and Jerzy Wiktor and Dariusz Ceglarek, “Comparative Analysis of Tooth2Root Strength Using ISO and AGMAStandards in Spur and Hel ical Gears with FEM2Based Verif ication,” Journal of Mechanical Design, Vol. 128 / 1141, 2006. [22] Shuting Li, “Effect of addendum on contact strength, bending strength and basic performance parameters of a pair of spur gears,” Mechanism and Machine Theory 43 (2008) 1557–1584 [23] G. Niemann, “Mechanic Element Design and Calculation in Mechanic Engineering,” Berlin, Springer-Verlag (1978).
摘要: 
齒輪強度設計中,預先得知齒輪於受負載時齒輪根部的應力分佈情況是相當重要的,當齒輪在傳遞動力及改變速度的運動過程中,齒面受到連續或交變彎曲應力的作用下,將導致齒輪的變形及損壞,進而影響齒輪傳輸動力的效率。
本文主要使用有限元素法針對齒輪在正常運轉過程中從嚙入至嚙出時所產生的變形及應力分佈進行分析研究,將齒輪嚙合過程分為11個模式,計算出每一個模式的接觸應力、彎曲應力及變形的情形。
首先建構齒輪實體模型,將齒輪實體模型網格化並施以元素與節點之的最佳化,設定齒輪的邊界條件後將檔案輸入FEAST有限元素分析軟體,進行齒輪接觸及彎曲應力分析與變形分析。
最後再將分析所得到的結果與相關文獻相互比對,以確定有限元素計算之結果的準確性。
本研究的結果除了可以模擬齒輪對之嚙合狀況外,並可作為後續開發設計齒輪相關研究之基礎。

In the design of the gear strength, it is significant to find out the stress distribution of the gear root in advance as the gears are loaded. In the gear motion process with power transmission and speed change, the surface of the teeth will lead to the deformation and damage of the gears under the continuous or alternating bending stress. Furthermore, that will influence the efficiency of the gear power transmission.
This text mainly uses Finite Element Method to do the research and the analysis on the deformation and the stress distribution in the process the gears normally operate from arc of approach to arc of recess. Divide the arc of approach into 11 stages, and calculate the contact stress and distribution of bending stress of every stage.
In the beginning, build the mockup of the gears, grid the mockup, and execute elements and nodes of the optimization. Then set the boundary conditions, put the information to FEAST Finite Element Method software to process the gear contact, the bending stress analysis, and the deformation analysis.
Eventually, compare the results with data of related records to make sure the accuracy of Finite Element Method.
The research result simulates the meshing conditions of the gear pairs; in addition, it is the basic information for the subsequent researches that relate to develop and design the gears.
URI: http://hdl.handle.net/11455/2246
其他識別: U0005-1410200917512300
Appears in Collections:機械工程學系所

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