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多面體螺旋曲線嚙合齒輪變速器幾何學(xué)設(shè)計理論研究

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  本文關(guān)鍵詞: 變速器 齒輪 幾何學(xué)設(shè)計 空間曲線嚙合 螺旋曲線嚙合 出處:《華南理工大學(xué)》2014年博士論文 論文類型:學(xué)位論文


【摘要】:在現(xiàn)代機械中,齒輪變速器被廣泛用于各種原動機和工作機之間,起著匹配轉(zhuǎn)速和傳遞轉(zhuǎn)矩的作用。傳統(tǒng)齒輪變速器采用傳統(tǒng)曲面嚙合齒輪作為傳動部件,在結(jié)構(gòu)和大小方面受到一定的限制,其輸出數(shù)目比較有限。 空間曲線嚙合齒輪是一種基于空間曲線嚙合原理的新型齒輪。目前,該齒輪已經(jīng)具備了一定的設(shè)計理論和制造基礎(chǔ),其嚙合理論、重合度、彈性變形準則、彎曲強度校核準則、制造工藝以及安裝精度分析等均取得一定的進展,已開始逐步應(yīng)用至微小變速器等領(lǐng)域。其中,螺旋曲線嚙合齒輪是最常見的空間曲線嚙合齒輪,其技術(shù)最為成熟。 本文基于螺旋曲線嚙合齒輪提出了一種多軸輸出的微小變速器——多面體螺旋曲線嚙合齒輪變速器,并系統(tǒng)地研究了其幾何學(xué)設(shè)計理論。該變速器的主要特征包括齒輪組的應(yīng)用、傳動軸的多面體三維幾何布局、單輸入多輸出的并聯(lián)式單級傳動和串-并聯(lián)混合式的多級傳動方式等。該變速器具有尺寸小,質(zhì)量輕,靈活性高等特點,特別適合作為微小機械裝置的變速機構(gòu)。 具體而言,本文的研究內(nèi)容主要包括以下四個方面: 1.鉤桿半徑不相等的螺旋曲線嚙合齒輪設(shè)計理論。根據(jù)空間曲線嚙合齒輪傳動基于鉤桿接觸線的建模思路,求解了空間曲線嚙合齒輪的嚙合方程、接觸線方程和中心線方程;給出了螺旋曲線嚙合齒輪的相關(guān)方程,并在設(shè)定主、從動鉤桿半徑不相等的條件下,推導(dǎo)得到了主、從動鉤桿的中心線方程,完成了主、從動齒輪的三維實體建模,并通過軟件仿真和實物驗證了其傳動的連續(xù)性。 2.多面體螺旋曲線嚙合齒輪變速器的布局規(guī)范與安裝尺寸鏈計算公式。分析了螺旋曲線嚙合齒輪副在斜交軸、正交軸與平行軸三種情況下的安裝尺寸鏈;設(shè)計了單主動輪-多從動輪的螺旋曲線嚙合齒輪組;研究了齒輪組的初始安裝角度;分析了齒輪組的嚙合情況,進而提出了完成嚙合的必要條件;在齒輪組的基礎(chǔ)上,提出了多面體螺旋曲線嚙合齒輪變速器的概念與安裝規(guī)范,并推導(dǎo)得到傳動系統(tǒng)和箱體結(jié)構(gòu)尺寸的設(shè)計公式。 3.多面體螺旋曲線嚙合齒輪變速器幾何約束與不干涉條件的計算公式。分別從接觸線、齒輪副和齒輪組三個層面對螺旋曲線嚙合齒輪傳動的幾何約束進行了定義和計算,并相應(yīng)地提出了接觸線互不干涉條件、齒輪副互不干涉條件和齒輪組互不干涉條件;以帶有螺旋曲線嚙合齒輪組的正四面體螺旋曲線嚙合齒輪變速器作為例子,,運用本文研究的幾何約束和不干涉條件進行設(shè)計計算,確定了各坐標系位置參數(shù)的選擇范圍。 4.螺旋曲線嚙合齒輪基于滑動率的坐標系位置參數(shù)選用準則及計算公式。參照傳統(tǒng)的空間共軛曲面嚙合齒輪,定義并計算了空間共軛曲線、空間曲線嚙合齒輪接觸線及螺旋曲線嚙合齒輪接觸線的滑動率;分析了螺旋曲線嚙合齒輪中接觸線滑動率的單調(diào)性與可行域,并確定了其最優(yōu)嚙合條件與坐標系位置參數(shù)選用準則及計算公式。
[Abstract]:in modern machinery , a gear transmission is widely used between a variety of prime mover and a work machine to play that role of matching rotation speed and transmission torque , and the traditional gear transmission adopts a traditional curved mesh gear as a transmission component , and has certain limitation in structure and size , and the output number of the gear transmission is limited . Space curve mesh gear is a new kind of gear which is based on the principle of space curve meshing . At present , the gear already has certain design theory and manufacturing base , its meshing theory , coincidence degree , elastic deformation criterion , bending strength check criterion , manufacturing process and installation precision analysis have made certain progress . This paper presents a multi - axis output micro - transmission _ polyhedral helical curve meshing gear transmission based on the meshing gear of helical curve , and systematically studies its geometric design theory . The main characteristics of the transmission include the application of gear set , the three - dimensional geometric layout of the transmission shaft , the parallel single - stage transmission of single - input multiple output and the multi - stage transmission mode of serial - parallel hybrid type . The transmission has the characteristics of small size , light weight , high flexibility and the like , and is particularly suitable for the transmission mechanism of the minute mechanical device . In particular , the research contents of this paper mainly include the following four aspects : 1 . The meshing equation , contact line equation and center line equation of the meshing gear of the space curve are solved according to the modeling idea of the meshing gear transmission based on the space curve meshing gears . The equations of the meshing gear of the helical curve are solved , and the equations of the center line of the main and driven gear are deduced . The three - dimensional solid modeling of the main and driven gears is completed , and the continuity of the transmission is verified by software simulation and physical verification . 2 . The layout specification and the installation dimension chain calculation formula of the meshing gear transmission of the polyhedral helical curve are analyzed . The helical curve meshing gear set of the helical curve mesh gear pair in the oblique axis , the orthogonal axis and the parallel shaft is analyzed , the initial installation angle of the gear set is designed , the meshing condition of the gear set is analyzed , the concept and installation specifications of the meshing gear transmission of the polyhedral helical curve are put forward , and the design formula of the transmission system and the box structure size is derived . 3 . The geometric constraints and non - interference conditions are defined and calculated from three aspects of the contact line , the gear pair and the gear set . The geometric constraints and the non - interference conditions of the gear sets are presented . The geometric constraints and the non - interference conditions of the meshing gear set with the helical curve are used as an example , and the selection range of the position parameters of each coordinate system is determined . 4 . The selection criterion and the calculation formula for the position parameters of the coordinate system based on the slip ratio of the helical curve mesh gear are defined . The space conjugate curve , the meshing gear contact line and the helical curve mesh gear contact line sliding rate are defined and calculated with reference to the traditional space conjugate curved surface meshing gear . The monotonicity and the feasible region of the contact wire slip ratio in the helical curve mesh gear are analyzed , and the selection criterion and the calculation formula of the optimal meshing condition and the coordinate system position parameter are determined .

【學(xué)位授予單位】:華南理工大學(xué)
【學(xué)位級別】:博士
【學(xué)位授予年份】:2014
【分類號】:TH132.46

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