摘 要

超大模數(shù)齒輪在重大工程裝備中的應(yīng)用越來越廣泛，且齒輪模數(shù)也在不斷增大，如海洋鉆井平臺(tái)中齒輪的模數(shù)已達(dá)135mm。在國家標(biāo)準(zhǔn)GB3480-1997中，齒輪最大模數(shù)為50mm，而對(duì)模數(shù)超過50mm的超大模數(shù)齒輪來說，目前尚無成熟的設(shè)計(jì)理論及強(qiáng)度計(jì)算理論。
本課題以江蘇省科技計(jì)劃支撐項(xiàng)目《海上風(fēng)電吊裝和運(yùn)輸專用工作船研發(fā)》為背景，研究超大模數(shù)齒輪的設(shè)計(jì)方法，并為該吊裝船設(shè)計(jì)一套安全、可靠的超大模數(shù)齒輪齒條傳動(dòng)機(jī)構(gòu)，在此基礎(chǔ)上，利用有限元法對(duì)超大模數(shù)齒輪的接觸強(qiáng)度及彎曲強(qiáng)度進(jìn)行深入分析，并對(duì)齒輪齒條強(qiáng)度進(jìn)行優(yōu)化研究。本論文主要研究內(nèi)容為：
1. 根據(jù)齒輪嚙合理論，研究超大模數(shù)齒輪設(shè)計(jì)方法。利用相似理論與有限元相結(jié)合，研究適合任意模數(shù)、壓力角等參數(shù)的齒輪設(shè)計(jì)方法，建立超大模數(shù)齒輪的模數(shù)及分度圓計(jì)算數(shù)學(xué)模型，并采用有限元法求解復(fù)合齒形系數(shù) 。
2. 針對(duì)風(fēng)電吊裝船的參數(shù)及設(shè)計(jì)要求，分析最危險(xiǎn)工況（預(yù)壓工況）下齒輪齒條機(jī)構(gòu)所受的外載荷；利用研究出的超大模數(shù)齒輪設(shè)計(jì)方法為其升降系統(tǒng)設(shè)計(jì)一套安全、可靠的齒輪齒條傳動(dòng)機(jī)構(gòu)。
3. 基于C#語言及SolidWorks軟件的二次開發(fā)技術(shù)，開發(fā)一套漸開線圓柱齒輪精確的參數(shù)化建模程序，并建立齒輪齒條嚙合三維模型；利用有限元法對(duì)齒輪齒條進(jìn)行接觸分析，研究超大模數(shù)齒輪齒條的齒面接觸應(yīng)力及齒根彎曲應(yīng)力在一個(gè)嚙合周期內(nèi)的變化規(guī)律。
4. 研究漸開線齒輪變位系數(shù) 、壓力角 、齒頂高系數(shù) 、齒頂隙系數(shù) 、齒根圓角半徑系數(shù) 、模數(shù) 及齒條寬度 對(duì)超大模數(shù)齒輪承載能力的影響規(guī)律，并在此基礎(chǔ)上，對(duì)原設(shè)計(jì)的齒輪齒條機(jī)構(gòu)進(jìn)行優(yōu)化，使齒輪齒條的彎曲強(qiáng)度與接觸強(qiáng)度得到了很大程度的提高。分析規(guī)律顯示：每個(gè)參數(shù)對(duì)齒輪齒條承載能力都有較大程度的影響，但影響程度各不相同。

關(guān)鍵詞 超大模數(shù)齒輪；風(fēng)電吊裝船；接觸強(qiáng)度；彎曲強(qiáng)度；優(yōu)化



Abstract
Supper-modulus gear is used more and more in great engineering projects, and the module of gear is continuously augmented. For example, the module of gear of gear of the offshore drilling platform already achieves 135mm. In the Standard of Country GB3480-1997, the maximum of module is 50mm. Nowdays whereas for supper-module gear which module is more than 50mm, there is lack of mature design theory and thrength calculating theory.
The subject takes support project of science and technology plan in Jiangsu Province-“research and development of offshore wind power lifting and special transport ship” as the background. Researching design method for supper-modulus gear, and designing a safety and reliable mechanism of supper-modulus gear for the ship. On the base, deeply researching supper-modulus gear contact thrength and bend thrength by finite element method and doing optimization of rack and pinion strength. The main contents of this theisi are listed as:
1．According to gear meshing theory, studying designing theory of supper- modulus rack and pinion. Studying design method of pinion, which is used for any modulus, pressure angle and other parameters pinion, by similarity theory and finite element. Establishing modulus and pitch circle calculation model of supper-modulus pinion, and calculating compound profile coefficient by finite element.
2．Anaylzing different actual working condition of wind power installation vessel and caculating external load of mechanism of rack and pinion, wich is under the most dangerous operating condition (preloading condition).According to parameters and designing requriement of the wind power installation vessel, designing a safty and ralibale mechanism of rack and pinion for it, by supper-modulus gear design mothed which has been studied.
3．Based on C# and secondary development of SolidWorks, developing a set of accurate parametric modeling program of involute spur gears and building 3D model of rack and pinion. Doing contact analysis of rack and pinion by finite element method, and studying laws of contact stress and bending stress in engagement cycle.
4．Studying laws which pinion profile shift , pressure angle , addendum coefficient , tooth gap coefficient , tooth fillet coefficient , module and width of rack affect contact strength and bending strength of rack and pinion. On the base of which, optimizing the mechanism of rack and pinion, to improve contact strength and bending strength of rack and pinion. Analysis of laws show that each parameter has large influence on the capacity of the rack and pinion, but the degrees of influence are different.

Keywords supper-modulus gear; wind power installation vessel; contact strength; bending strength; optimzation


目 錄
摘 要 I
Abstract II
第1章 緒論 1
1.1 課題研究背景及意義 1
1.1.1 研究背景 1
1.1.2 研究意義 3
1.2 課題國內(nèi)外研究現(xiàn)狀及存在問題 5
1.2.1 國內(nèi)外研究現(xiàn)狀 5
1.2.2 存在的問題 6
1.2.3 發(fā)展趨勢(shì) 7
1.3 課題研究內(nèi)容及章節(jié)安排 7
1.3.1 主要研究內(nèi)容 7
1.3.2 章節(jié)安排 8
1.4 本章小結(jié) 9
第2章 齒輪的強(qiáng)度理論及彈性接觸理論 10
2.1 齒輪的彎曲強(qiáng)度理論 10
2.1.1 彎曲強(qiáng)度計(jì)算法基本公式 10
2.1.2 齒形系數(shù)的計(jì)算方法 11
2.1.3 齒根彎曲強(qiáng)度的計(jì)算條件 12
2.1.4 齒輪彎曲強(qiáng)度的計(jì)算 13
2.2 齒輪齒面接觸強(qiáng)度理論及計(jì)算 13
2.2.1 齒輪接觸強(qiáng)度理論 13
2.2.2 齒輪接觸應(yīng)力計(jì)算方法 14
2.3 彈性接觸理論及其有限元法 15
2.3.1 彈性..