本文關鍵詞： 新國標 圓柱齒輪精度設計 MATLAB CAD　出處：《南華大學》2012年碩士論文　論文類型：學位論文

【摘要】：漸開線圓柱齒輪傳動是各種齒輪傳動類型中應用最為廣泛的。其精度設計是依據(jù)產(chǎn)品的技術要求，遵循新一代產(chǎn)品幾何技術規(guī)范與認證等國家標準。2008年新漸開線圓柱齒輪精度標準體系，其項目、術語、定義及符號與舊國標形成了很大的反差，許多齒輪工作者一段時間以來都難以適應，于是在教學和生產(chǎn)實際中出現(xiàn)了結構紊亂、新舊標準混用、項目過多或缺失、新舊項目混搭的亂象，很不利于新國標的貫徹執(zhí)行。 本文針對新舊國標體系的變化，通過吸納國內(nèi)外相關研究成果，創(chuàng)新性地建立基于新國標的漸開線圓柱齒輪精度設計CAD系統(tǒng)。該系統(tǒng)功能計有以下幾個方面：1）計算單個齒距偏差、齒距累積總偏差、齒廓總偏差、螺旋線總偏差四項允許值；2）計算法向齒厚；法向弦齒厚；公法線長度；跨棒尺寸及這四項的上下偏差；3）倒錐齒跨球距參數(shù)化計算。 該系統(tǒng)是基于MATLAB GUI可視化界面開發(fā)模塊的CAD系統(tǒng)，在系統(tǒng)開發(fā)過程中主要完成了以下幾個方面的研究工作：1）通過查閱文獻，歸納總結各級精度齒輪偏差允許值的計算公式，匯成各級精度齒輪偏差允許值公式集；2）討論新國標中最小側隙和最大側隙的確定方法；3）完成了法向齒厚、法向弦齒厚、公法線長度、跨棒尺寸以及計入側隙時這四項的極限偏差計算公式集；4）利用量球測量法，推導倒錐齒跨球距計算公式；5）根據(jù)牛頓迭代法原理，，運用MATLAB軟件解決反漸開線函數(shù)精度求解的難點問題；6）通過對專家的廣泛調(diào)查,資料的收集、整理、歸納，建立數(shù)據(jù)庫，解決量球直徑、最小側隙、徑向跳動和切進公差數(shù)據(jù)的調(diào)用問題。 通過實例證明本CAD系統(tǒng)能避免繁瑣的手工設計計算及查找表格，實現(xiàn)圓柱齒輪精度設計的參數(shù)化和簡約化設計，有效地提高了工作效率，節(jié)省大量的時間。
[Abstract]:Involute cylindrical gear transmission is the most widely used in various gear transmission types. Its precision design is based on the technical requirements of the product. In 2008, the new involute cylindrical gear precision standard system, its items, terms, definitions and symbols formed a great contrast with the old national standard. Many gear workers have been difficult to adapt for some time, so in the teaching and production practice, there appears the structure disorder, the new and old standards mixed use, the project too many or missing, the new and old projects mixed up chaos. It is unfavorable to the implementation of the new national standard. This paper aims at the change of the new and the old national standard system, through absorbing the domestic and foreign related research results. The CAD system for precision design of involute cylindrical gears based on the new national standard is creatively established. The system has the following aspects: 1) calculate the single pitch deviation, the cumulative total deviation of tooth pitch, and the total deviation of tooth profile. Four allowable values of total helix deviation; 2) calculating normal tooth thickness; Normal chord tooth thickness; Length of line of public law; The size of the span bar and the upper and lower deviations of these four terms; 3) parameterized calculation of spheroidal distance of inverted conical teeth. This system is based on MATLAB GUI visual interface development module CAD system, in the system development process mainly completed the following aspects of research work: 1) by consulting literature. The formula for calculating the allowable value of gear deviation at all levels is summarized and the formula set of allowable values of gear deviation at all levels is obtained. 2) the determination method of the minimum and maximum lateral gap in the new national standard is discussed. 3) complete the calculation formulas of normal tooth thickness, normal chord tooth thickness, common line length, span bar size and limit deviation when considering the clearance; 4) the formula for calculating the spheroidal distance of the inverted conical teeth is derived by using the ball measurement method. 5) according to the principle of Newton iteration method, using MATLAB software to solve the difficult problem of precision solution of inverse involute function; 6) through the extensive investigation of experts, the collection, collation, induction and establishment of database, the transfer problem of diameter, minimum clearance, radial runout and cut tolerance data of the ball is solved. It is proved by an example that the CAD system can avoid the complicated manual design calculation and search table, realize the parameterized and simplified design of cylindrical gear precision design, and effectively improve the working efficiency. Save a lot of time.
【學位授予單位】：南華大學
【學位級別】：碩士
【學位授予年份】：2012
【分類號】：TH132.41

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