本文關(guān)鍵詞：共軛曲線齒輪嚙合理論研究　出處：《重慶大學(xué)》2015年博士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 嚙合理論 共軛曲線 嚙合管齒面 共軛曲線齒輪 圓弧齒輪

【摘要】：齒輪是制造裝備業(yè)和國(guó)防工業(yè)中極其重要的關(guān)鍵基礎(chǔ)件。高端重大裝備對(duì)高性能齒輪傳動(dòng)的需求迫切且逐年增長(zhǎng),齒輪產(chǎn)品盡管在技術(shù)手段和性能方面有了長(zhǎng)足的發(fā)展,但是與國(guó)際先進(jìn)水平相比仍然存在較大差距。以直升機(jī)等為代表的航空航天飛行器,以風(fēng)力發(fā)電等為代表的新能源裝備,以坦克等為代表的武器裝備以及高鐵、艦船等重大裝備都對(duì)齒輪傳動(dòng)提出了更高性能的要求,可概括為:長(zhǎng)壽命、高承載能力、高可靠、高功重比(輕量化)、低噪聲等。高性能的齒輪傳動(dòng)的研發(fā)已成為我國(guó)相關(guān)工業(yè)領(lǐng)域發(fā)展中的一個(gè)關(guān)鍵科學(xué)技術(shù)問題,也是機(jī)械工程領(lǐng)域傳動(dòng)機(jī)械學(xué)科研究的重要前沿。嚙合齒面是運(yùn)動(dòng)和動(dòng)力變換的直接作用面,也是齒輪創(chuàng)新發(fā)展的關(guān)鍵要素。本文充分考慮曲線接觸的多樣性,以曲線為嚙合幾何元素開展齒輪傳動(dòng)嚙合新理論、新技術(shù)研究。相關(guān)內(nèi)容對(duì)闡釋現(xiàn)有齒輪傳動(dòng)的嚙合原理及創(chuàng)立新型高性能齒輪傳動(dòng)提供了理論基礎(chǔ),對(duì)于滿足重大裝備對(duì)高性能齒輪傳動(dòng)的需求將產(chǎn)生重要作用,具有十分重要的理論意義和廣泛的工程應(yīng)用前景。論文的主要工作可概括如下:①在定義曲線連續(xù)相切接觸的基礎(chǔ)上,提出共軛曲線的概念,給出曲線共軛接觸的基本條件;建立共軛曲線齒輪基本嚙合原理,開展共軛曲線嚙合數(shù)學(xué)描述,基于微分幾何學(xué)分析并論證共軛曲線沿給定接觸角方向的法向矢量,求解嚙合函數(shù)關(guān)系,推導(dǎo)共軛曲線方程等,并開展實(shí)例應(yīng)用。②從幾何及接觸特性分析入手,揭示共軛曲線嚙合的一般規(guī)律及性質(zhì)。提出共軛曲線密切面建模方法,基于弧長(zhǎng)參數(shù)概念推導(dǎo)共軛曲線曲率及撓率,論證單參數(shù)曲線族包絡(luò)的基本條件及特征點(diǎn);探尋不同接觸位置條件下的嚙合函數(shù)變化規(guī)律,討論共軛曲線接觸的唯一性和同一性,描述共軛曲線的嚙合運(yùn)動(dòng)基本特性。③基于共軛曲線原理構(gòu)建具有優(yōu)良曲線接觸特性的嚙合管齒面,提出以適當(dāng)半徑的球面沿共軛曲線的指定等距線包絡(luò)運(yùn)動(dòng)成型嚙合管的等距包絡(luò)方法,建立共軛曲線齒輪嚙合管齒面的構(gòu)建理論,推導(dǎo)共軛曲線的等距線方程、嚙合齒面方程等,構(gòu)建多種接觸齒面模型。在共軛曲線嚙合理論的研究基礎(chǔ)上,提出新型共軛曲線齒輪傳動(dòng)。④分析共軛曲線齒輪嚙合管齒面幾何及接觸特性,提出齒輪滿足傳動(dòng)比恒定和連續(xù)轉(zhuǎn)動(dòng)的一般條件;定義嚙合管齒面壓力角,描述齒面特征曲線及脊線,討論嚙合管齒面根切問題,建立誘導(dǎo)法曲率及撓率一般計(jì)算方法;開展嚙合管齒面嚙合及曲率干涉分析,基于共軛曲線原理建立齒面滑動(dòng)計(jì)算理論與方法,論證齒面共軛繼承特性,揭示共軛曲線齒輪輪齒齒面的嚙合實(shí)質(zhì)。⑤介紹傳統(tǒng)圓弧齒輪傳動(dòng)及特點(diǎn),提出基于共軛曲線嚙合理論的圓弧齒輪傳動(dòng)嚙合新原理,論述其成型原理與方法、幾何及運(yùn)動(dòng)特性、嚙合特性等,揭示與一般圓弧齒輪傳動(dòng)的內(nèi)在聯(lián)系,闡釋圓弧齒輪傳動(dòng)的一般原理和嚙合本質(zhì),實(shí)現(xiàn)共軛曲線嚙合理論的重要理論應(yīng)用。
[Abstract]:Gear is the most important key element in the manufacturing equipment industry and the national defense industry. The demand for high-performance gear transmission is urgent and increasing year by year. The gear products have made great progress in terms of technology and performance, but there is still a big gap compared with the international advanced level. Aerospace vehicle with helicopter as the representative of the wind power as the representative of the new energy equipment, with tanks as the representative of the weapons and equipment as well as high-speed railway, ships and other major equipment are put forward higher requirements on the performance of gear transmission, can be summarized as: long life, Gao Cheng carrying capacity, high reliability, high the power weight ratio (lightweight), low noise etc.. The research and development of high performance gear transmission has become a key scientific and technological problem in the development of related industries in China. It is also an important front in the field of mechanical engineering in the field of mechanical engineering. The meshing tooth surface is the direct surface of the motion and the dynamic transformation, and is also the key element of the gear innovation and development. This paper takes full consideration of the variety of the contact of the curve, and studies the new theory and new technology of gear transmission meshing with the geometric element of the curve as the meshing geometric element. The related content provides a theoretical basis for explaining the existing gear meshing principle and the creation of new high performance gear, will have an important role to meet the great demand for high performance gear transmission equipment, has important theoretical significance and wide application prospect. The main work can be summarized as follows: based in the definition of curve continuous tangent contact, put forward the concept of conjugate curves, the basic conditions of conjugate contact curve is given; the establishment of basic principle of gear meshing conjugate curve, carry out mathematical description of conjugate curve mesh, vector based on differential geometry analysis and argumentation of conjugate curves along a given direction of contact angle the method of solving the meshing function, derivation of conjugate curve equation, and carry out application. Secondly, from the analysis of geometry and contact characteristics, the general rules and properties of the conjugate curve meshing are revealed. The conjugate curve osculating plane modeling method, the arc length parameter concept derived conjugate curve curvature and torsion rate based on the basic conditions, demonstration of single parameter curve enveloping and feature point; to explore the meshing function changes under the conditions of different contact position, discuss the uniqueness of conjugate curves of contact and identity, the basic characterization of conjugate curves the meshing movement. The conjugate curve based on the principle of constructing excellent contact characteristics of meshing tooth surface curve pipe, proposed equidistant envelope method specifies the equidistant line forming tube meshing enveloping movement with appropriate radius of the spherical surface along the conjugate curve, a conjugate curve of the gear tooth surface meshing pipe construction theory, derivation of conjugate curves of equidistant line equation, tooth surface equation build multiple tooth contact model. On the basis of the study of the conjugate curve meshing theory, a new type of conjugate curve gear transmission is proposed. The analysis of tooth surface geometry and contact characteristics of gear meshing conjugate curves of the gear tube, meet the general conditions of constant transmission ratio and continuous rotation; definition of meshing tooth surface tube pressure angle, tooth surface characteristic curve and the ridge line and discuss the tooth undercutting mesh tube, established the induction method and curvature deflection calculation rate; analysis of tooth surface meshing and curvature interference carry out meshing conjugate curve was established based on the principle of the calculation theory and method of sliding tooth surface based on the demonstration of conjugate tooth face inherited characteristics, reveal the conjugate curve of gear tooth meshing tooth surface material. The introduction of the traditional arc gear meshing principle and characteristics, put forward the new arc gear meshing theory of conjugate curves based on the forming principle and method, geometry and motion characteristics, meshing characteristics, reveal the intrinsic link and arc gear meshing, the general principle and interpret the essence of circular arc gear transmission, realize the important theory the application of theory of conjugate curve mesh.
【學(xué)位授予單位】：重慶大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2015
【分類號(hào)】：TH132.41

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本文編號(hào)：1340404