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高精度同步傳動(dòng)中斜齒輪磨損的數(shù)值計(jì)算

發(fā)布時(shí)間:2018-10-10 11:58
【摘要】:齒輪是典型的線接觸類零件,而且在現(xiàn)代機(jī)械工程中應(yīng)用廣泛,漸開線斜齒輪因其傳遞力矩大,傳動(dòng)平穩(wěn)沖擊小,在精度要求高的重要場合使用的更廣。本文研究應(yīng)用于化工過程生產(chǎn)中的漸開線斜齒輪減速器,其特點(diǎn)為齒輪傳遞的功率小,負(fù)載恒定,要求傳動(dòng)比精度高。但是漸開線斜齒輪減速器經(jīng)過長時(shí)間的工作以后,輪齒齒面會(huì)慢慢發(fā)生磨損,磨損以后的齒廓會(huì)發(fā)生變化,不再是理想的漸開線,從而導(dǎo)致齒輪的接觸條件也隨著變化,傳動(dòng)速度不再穩(wěn)定,影響化工生產(chǎn)的質(zhì)量,因此研究漸開線斜齒輪的磨損有重要的意義。 本文首先介紹磨損計(jì)算的發(fā)展過程,并總結(jié)了目前國內(nèi)外漸開線圓柱齒輪磨損的實(shí)驗(yàn)技術(shù)以及仿真技術(shù)的發(fā)展現(xiàn)狀,介紹了齒輪磨損的機(jī)理和三種齒輪磨損計(jì)算原理,采用線接觸類零件磨損計(jì)算的通用模型為基礎(chǔ),結(jié)合數(shù)值計(jì)算的方法,將齒輪的齒廓離散成若干個(gè)接觸點(diǎn),把齒輪磨損的動(dòng)態(tài)過程離散化成若干個(gè)準(zhǔn)靜態(tài)的過程,并且利用考慮磨損過程中漸開線斜齒輪齒廓?jiǎng)討B(tài)變化的磨損數(shù)值計(jì)算的數(shù)學(xué)模型,分別計(jì)算每個(gè)準(zhǔn)靜態(tài)過程中每個(gè)離散接觸點(diǎn)的磨損高度,以及由于磨損對(duì)傳動(dòng)比精度的影響,并對(duì)漸開線斜齒輪進(jìn)行仿真,計(jì)算磨損以后齒輪的傳動(dòng)比精度,然后分析其他因素對(duì)齒輪傳動(dòng)精度的影響。 主要工作包括:將漸開線直齒輪的磨損計(jì)算模型轉(zhuǎn)化為漸開線斜齒輪,計(jì)算齒廓上離散接觸點(diǎn)上的狀態(tài)參數(shù),并且判定各個(gè)接觸點(diǎn)的嚙合情況,計(jì)算各個(gè)離散接觸點(diǎn)的磨損高度,瞬時(shí)傳動(dòng)比以及傳動(dòng)比精度,進(jìn)一步分析齒輪的輸入功率以及機(jī)械功率對(duì)齒輪磨損的影響,對(duì)比漸開線直齒輪的磨損后的傳動(dòng)比精度,最后提出減少漸開線斜齒輪減速器磨損的具體措施。
[Abstract]:Gear is a typical linear contact part, and it is widely used in modern mechanical engineering. Involute helical gear is widely used in important occasions with high precision because of its large transfer torque and low steady impact. In this paper, the involute helical gear reducer used in chemical process is studied. Its characteristics are that the transmission power is small, the load is constant, and the transmission ratio accuracy is high. However, after a long period of work, the tooth surface of the involute helical gear reducer will slowly wear out, and the tooth profile after wear will change, which is no longer an ideal involute line, resulting in the gear contact conditions also changing with the change. The transmission speed is no longer stable, which affects the quality of chemical production, so it is of great significance to study the wear of involute helical gears. This paper first introduces the development process of wear calculation, summarizes the experimental technology and simulation technology of involute cylindrical gear wear at home and abroad, introduces the mechanism of gear wear and three kinds of gear wear calculation principle. Based on the general model of wear calculation for linear contact parts and the numerical method, the tooth profile of gear is discretized into several contact points, and the dynamic process of gear wear is discretized into several quasi-static processes. The wear height of each discrete contact point in each quasi-static process and the effect of wear on the transmission ratio accuracy are calculated by using the mathematical model of numerical calculation of the tooth profile of involute helical gear considering the dynamic change of tooth profile in the process of wear. The involute helical gear is simulated to calculate the transmission ratio accuracy of the gear after wear and the influence of other factors on the gear transmission accuracy is analyzed. The main work includes: converting the wear calculation model of involute spur gear into involute helical gear, calculating the state parameters of discrete contact point on tooth profile, and judging the meshing condition of each contact point. The wear height, instantaneous transmission ratio and transmission ratio accuracy of each discrete contact point are calculated. The influence of gear input power and mechanical power on gear wear is further analyzed, and the transmission ratio accuracy of involute spur gear after wear is compared. Finally, concrete measures to reduce the wear of involute helical gear reducer are put forward.
【學(xué)位授予單位】:哈爾濱工業(yè)大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2011
【分類號(hào)】:TH132.41

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