圓柱螺旋齒輪隆齒修形對安裝誤差之影響

Influences of Assembly Error on Profile-Crowned of Cylindrical Helical Gear

黃騰驥(Teng-Ji Haung)

指導教授 ： 王培郁

國立虎尾科技大學/工程學院/機械設計工程研究所/碩士(2015年)

https://doi.org/10.6827/NFU.2015.00116

摘要

齒輪零件是各種機器和設備中應用最為廣泛的動力傳遞，具有傳動確實、高精密、高效率等優點。本文以隆齒修形後的圓柱螺旋齒輪為主要探討對象，且圓柱螺旋齒輪組在實際的裝配中，發生安裝誤差是難以避免的，而安裝誤差會直接對齒輪組的傳動造成影響，因此，探討隆齒修形對安裝誤差的影響是必要的。本文應用嚙合原理和微分幾何法的概念計算出齒輪齒廓的數學方程式，再將齒輪齒廓的方程式用修形圓盤計算出修形齒輪齒廓的數學方程式，利用Mathematica軟體建立修形圓柱螺旋齒輪真實齒面並調控修形修整量，匯入Pro/ENGINEER和SolidWorks軟體建構三維模型，再將模型匯入HyperMesh前處理器進行有限元素法，最後藉由LS-DYNA顯式動力學有限元素分析軟體進行求解運算，計算出螺旋齒輪對之齒面接觸應力，並探討齒輪對在不同的安裝誤差的因素下對未修形與修形齒輪對齒面的應力的變化情況，提出調整方案，對於提高齒輪設計、製造、裝配有極大幫助。

關鍵字

圓柱螺旋齒輪 ； 安裝誤差 ； LS-DYNA ； 隆齒修形

並列摘要

This article uses the concept of gear principle and differential geometry, the mathematical model of the profile-crowned disk drives the mathematical model of the modified curvilinear gears. Then Mathematica exports the profile-crown liner file. Using Pro/ENGINEER and SolidWorks software construct a three-dimensional model of the gear, then the model of the gear import HyperMesh pre-processor finite element analysis (FEA) to analyze the stress under cylindrical helical gear or profile-crowned gear for influences of assembly error.

並列關鍵字

Cylindrical Helical Gear ； Assembly Tolerance ； Profile-Crowned

參考文獻

[2]Chung-Biau Tsay, “Helical Gear With Involute Shaped Teeth: Geometry, Computer Simulation, Tooth Contact Analysis, and Stress Analysis,” Department of Mechanical Engineering, Vol. 110, pp. 484-487, 1988.

[3]Chinghua Hung (2002), Integration of finite element analysis and optimum design on gear systems, Finite Elements in Analysis and Design, Vol. 38, pp. 179-192.

[8]Y. Wang and W.J. Zhang and H.M.E Cheung,2001,A finite element approach to dynamic modeling of flexible spatial compound bar-gear system, Mechanism and Machine Theory, Vol. 36, pp.469-487.

[9]Shuting Li,2007, Effects of machining errors, assembly errors and tooth modifications on loading capacity, load-sharing ratio and transmission error of a pair of spur gear, Mechanism and Machine Theory, Vol.42, pp. 698-726.

[10]Shuting Li,2007, 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, Vol.42, pp. 88-114.