本文關(guān)鍵詞：漸開(kāi)線圓柱齒輪各偏差項(xiàng)計(jì)算及精度等級(jí)評(píng)定　出處：《蘇州大學(xué)》2012年碩士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 漸開(kāi)線圓柱齒輪 齒廓測(cè)量 齒廓偏差 公法線長(zhǎng)度偏差 齒距偏差 精度等級(jí)

【摘要】：齒輪是重要的傳動(dòng)零件，其制造精度對(duì)機(jī)械的傳動(dòng)效率、傳動(dòng)質(zhì)量及使用壽命影響很大。為保證齒輪的傳動(dòng)品質(zhì)，必須對(duì)工件齒輪進(jìn)行測(cè)量，，以確定其制造精度是否滿足工藝要求。 漸開(kāi)線齒輪的質(zhì)量指標(biāo)眾多，以前各項(xiàng)指標(biāo)通常采用不同的儀器測(cè)量，這些儀器大多結(jié)構(gòu)精密、價(jià)格昂貴、操作與維護(hù)要求很高。隨著三坐標(biāo)測(cè)量?jī)x的發(fā)展與普及，齒輪的三坐標(biāo)儀測(cè)量的探索與實(shí)踐已成為近年來(lái)的研究熱點(diǎn)，其主要關(guān)注點(diǎn)是齒輪齒廓點(diǎn)的測(cè)量及其根據(jù)齒廓點(diǎn)的測(cè)量值確定齒輪各偏差項(xiàng)數(shù)值的計(jì)算方法。本文以漸開(kāi)線圓柱齒輪為對(duì)象，研究各偏差項(xiàng)的計(jì)算途徑和方法，主要內(nèi)容如下： 介紹了常用的齒輪測(cè)量方法，確定了利用三坐標(biāo)測(cè)量?jī)x測(cè)量齒輪齒廓坐標(biāo)值和利用公法線千分尺測(cè)量齒輪公法線長(zhǎng)度的實(shí)驗(yàn)方案，并介紹了處理原始測(cè)量數(shù)據(jù)的拉依達(dá)法則。 介紹了計(jì)算齒廓偏差的漸開(kāi)線法向法和漸開(kāi)線擬合法，分析了兩種方法的局限性與不足之處。在此基礎(chǔ)上，提出了新的齒廓偏差計(jì)算方法——漸開(kāi)線起點(diǎn)法，該方法首先確定通過(guò)齒廓測(cè)量點(diǎn)的理論漸開(kāi)線的起始點(diǎn)，再通過(guò)起始點(diǎn)的坐標(biāo)值確定輪齒的齒廓偏差。 根據(jù)公法線長(zhǎng)度原理，導(dǎo)出了適用于直/斜齒標(biāo)準(zhǔn)/變位齒輪公法線長(zhǎng)度和跨測(cè)齒數(shù)的通用公式，提出了利用最值法確定跨測(cè)齒數(shù)的方法，并建立了公法線長(zhǎng)度偏差數(shù)學(xué)模型。 介紹了最小二乘法、分段三次Hermite插值法和三次樣條插值法等常用的曲線擬合方法，分析了三種擬合方法的優(yōu)缺點(diǎn)。在此基礎(chǔ)上，確定采用最小二乘法擬合漸開(kāi)線齒輪齒廓，并導(dǎo)出了齒廓偏差的計(jì)算公式。 借助于MATLAB-GUI可視化設(shè)計(jì)軟件，根據(jù)處理好的數(shù)據(jù)和建立的數(shù)學(xué)模型，開(kāi)發(fā)了計(jì)算漸開(kāi)線圓柱齒輪各偏差項(xiàng)的GUI軟件。以某漸開(kāi)線圓柱齒輪為例，利用開(kāi)發(fā)的計(jì)算軟件，計(jì)算了齒輪各偏差項(xiàng)，并依據(jù)計(jì)算結(jié)果對(duì)齒輪精度等級(jí)進(jìn)行評(píng)定。
[Abstract]:Gear is an important transmission part, its manufacturing accuracy has great influence on the transmission efficiency, transmission quality and service life of machinery. To ensure the transmission quality of gear, we must measure the workpiece gear to determine whether the manufacturing accuracy meets the process requirements.
The quality index of involute gear is numerous, the previous indicators commonly used instruments to measure different, these instruments are expensive, precise structure, operation and maintenance requirements are very high. With the development and popularization of the three coordinate measuring instrument, the exploration and practice of three coordinate measuring instrument of gear has become a hot research topic in recent years, its main concern is the measurement of gear tooth profile and tooth profile points according to the measurement point to determine the value of the deviation of gear numerical calculation method. In this paper, the involute cylindrical gear as the object of study, ways and methods of the deviation calculation, the main contents are as follows:
The gear measurement method commonly used, was determined using three coordinate measuring instrument for measuring gear tooth profile coordinates experimental scheme of micrometer gear common normal line length and the normal line, and introduces the original measurement data the Pauta rule.
Introduces the method for calculating the involute profile deviation to involute method and fitting method, analyzes the limitations and shortcomings of the two methods. On this basis, put forward the new tooth profile deviation calculation method of involute method firstly to determine the starting point, the starting point of the tooth profile measuring point theory of involute, then to determine the tooth profile deviation by the coordinate value of the starting point.
According to the principle of common normal length, a general formula for common normal line length and span measuring tooth number of straight / helical teeth standard / modified gears is derived. The method of determining the number of cross measuring teeth by the maximum value method is put forward, and the mathematical model of the length deviation of common normal line is established.
This paper introduces the least square method, piecewise curve fitting method commonly used three Hermite interpolation and three spline interpolation method, analyzes the advantages and disadvantages of the three fitting methods. On this basis, determined by the least squares fitting of involute gear, and deduces the calculation formula of profile deviation.
With the help of MATLAB-GUI software visualization, according to the processed data and establish the mathematical model developed for calculation of involute cylindrical gear of the deviation of the GUI software. Using an involute cylindrical gear as an example, using the software, the gear deviation is calculated according to the calculation results to evaluate the gear precision.

【學(xué)位授予單位】：蘇州大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2012
【分類號(hào)】：TH132.41

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 孫英慧;孫英娟;楊柳;;基于Hermite算法的曲線擬合[J];長(zhǎng)春師范學(xué)院學(xué)報(bào)(自然科學(xué)版);2009年08期

2 申紅蓮;;Matlab中曲線擬合的方法[J];福建電腦;2010年07期

3 李慶福;張光遠(yuǎn);顏寧生;;Hermite插值條件下的三點(diǎn)曲線擬合程序設(shè)計(jì)[J];湖南工程學(xué)院學(xué)報(bào)(自然科學(xué)版);2009年04期

4 黃富貴,張認(rèn)成;在三坐標(biāo)測(cè)量機(jī)上精確測(cè)量漸開(kāi)線圓柱齒輪的齒形誤差[J];工具技術(shù);2005年07期

5 任麗芬;廖世鵬;廖俊必;;三坐標(biāo)圖像測(cè)量在漸開(kāi)線圓柱齒輪齒距與齒廓偏差中的應(yīng)用[J];工具技術(shù);2008年04期

6 曹愛(ài)文;陳定溪;張海;;三坐標(biāo)測(cè)量機(jī)在齒輪齒距偏差測(cè)量中的應(yīng)用[J];工具技術(shù);2008年12期

7 韋立;測(cè)量齒輪公法線長(zhǎng)度時(shí)跨齒數(shù)的計(jì)算方法[J];工具技術(shù);2003年06期

8 楊繼東;李敏;;齒輪公法線長(zhǎng)度檢測(cè)的新方法[J];機(jī)床與液壓;2007年11期

9 李世云;合理計(jì)算變位圓柱齒輪的公法線長(zhǎng)度[J];農(nóng)機(jī)化研究;2002年03期

10 王剛;漸開(kāi)線齒輪公法線跨測(cè)齒數(shù)的確定[J];寧夏工程技術(shù);2003年02期

相關(guān)碩士學(xué)位論文 前1條

1 曹璽;漸開(kāi)線直齒圓柱齒輪偏差項(xiàng)的計(jì)算與精度分析研究[D];西安電子科技大學(xué);2010年

本文編號(hào)：1391139