本文選題：多重共軛傳動(dòng)機(jī)構(gòu)　切入點(diǎn)：嚙合模型　出處：《湘潭大學(xué)》2014年博士論文　論文類型：學(xué)位論文

【摘要】：空間多重共軛傳動(dòng)機(jī)構(gòu)是指同時(shí)通過多對(duì)空間共軛曲面的嚙合，傳遞運(yùn)動(dòng)和動(dòng)力的機(jī)構(gòu)，多重包含了同時(shí)多點(diǎn)共軛和交互包絡(luò)的內(nèi)涵。通過多重嚙合，空間多重共軛傳動(dòng)機(jī)構(gòu)具有非常顯著的優(yōu)點(diǎn)：結(jié)構(gòu)設(shè)計(jì)靈活、傳動(dòng)平穩(wěn)、結(jié)構(gòu)緊湊、傳遞效率高和高重合度等。但空間多重共軛傳動(dòng)機(jī)構(gòu)由于設(shè)計(jì)計(jì)算復(fù)雜、加工困難，傳動(dòng)性能難達(dá)到設(shè)計(jì)要求，且精度評(píng)定體系不完善，一直制約其發(fā)展，本文擬通過相關(guān)理論及技術(shù)的研究，克服以上瓶頸，促進(jìn)該機(jī)構(gòu)的推廣應(yīng)用。 本文主要研究?jī)?nèi)容如下： （1）論文闡述了研究背景，給出了空間多重共軛傳動(dòng)機(jī)構(gòu)的定義。闡述了空間嚙合理論發(fā)展及在共軛傳動(dòng)機(jī)構(gòu)中的應(yīng)用情況、空間多重共軛傳動(dòng)機(jī)構(gòu)靜載荷強(qiáng)度校核及動(dòng)力學(xué)研究進(jìn)展、機(jī)構(gòu)的誤差分析及綜合的研究進(jìn)展，闡明了迫切需要研究的問題，并相應(yīng)地給出了本文的研究?jī)?nèi)容。 （2）通過介紹與論文研究相關(guān)的微分幾何知識(shí)、坐標(biāo)變換及空間共軛條件，推導(dǎo)了多重共軛傳動(dòng)機(jī)構(gòu)的嚙合條件。建立了超環(huán)面行星蝸桿傳動(dòng)機(jī)構(gòu)和弧面凸輪機(jī)構(gòu)的嚙合模型及數(shù)字仿真模型，并對(duì)空間多重共軛圓柱端面凸輪開展工程應(yīng)用研究。 （3）建立了空間多重共軛傳動(dòng)機(jī)構(gòu)多點(diǎn)共軛時(shí)接觸點(diǎn)之間的載荷分配模型，并以此模型為基礎(chǔ)，研究了超環(huán)面行星蝸桿傳動(dòng)機(jī)構(gòu)壓力角的變化情況，研究了超環(huán)面行星蝸桿傳動(dòng)機(jī)構(gòu)嚙合齒接觸疲勞應(yīng)力和彎曲疲勞應(yīng)力的校核方法。 （4）在已建立空間多重共軛嚙合模型及含誤差嚙合模型的基礎(chǔ)上，開展了空間多重共軛傳動(dòng)機(jī)構(gòu)的誤差分析與綜合的研究，并以超環(huán)面行星蝸桿傳動(dòng)機(jī)構(gòu)和弧面凸輪機(jī)構(gòu)為例，初步建立了他們的精度體系。 （5）通過先研究超環(huán)面行星蝸桿傳動(dòng)機(jī)構(gòu)的動(dòng)力學(xué)模型，再分析在動(dòng)力學(xué)模型中加入誤差的方法，研究了誤差對(duì)機(jī)構(gòu)固有頻率的影響。介紹了超環(huán)面行星蝸桿減速箱的試制、傳動(dòng)性能臺(tái)架試驗(yàn)以及振動(dòng)特性的分析等，驗(yàn)證了基于上述理論所開發(fā)的超環(huán)面行星蝸桿減速箱樣機(jī)具有良好的傳動(dòng)性能。 （6）將含誤差的螺旋升角代入法向力計(jì)算公式，得到了含誤差的齒面法向力計(jì)算式。采用Matlab語(yǔ)言編程，代入誤差的不同誤差值，對(duì)齒面法向力進(jìn)行計(jì)算分析，考察了誤差對(duì)均載的影響規(guī)律。 本文以空間多重共軛傳動(dòng)機(jī)構(gòu)的誤差分析為主線，對(duì)其嚙合理論、數(shù)字嚙合模型的建立、載荷分布、動(dòng)力學(xué)建模以及產(chǎn)品的試制開展研究，對(duì)解決該類機(jī)構(gòu)工程應(yīng)用所需的基礎(chǔ)理論以及關(guān)鍵技術(shù)問題，取得了一定的進(jìn)展。
[Abstract]:Spatial multiplex conjugate transmission mechanism refers to the mechanism that transmits motion and power simultaneously through the meshing of multiple pairs of space conjugate surfaces, which contains the connotation of simultaneous multi-point conjugation and interactive envelope. The spatial multiplex conjugate transmission mechanism has many advantages, such as flexible structure design, stable transmission, compact structure, high transfer efficiency and high coincidence, etc. However, because of the complexity of design and calculation, it is difficult to process the spatial multiplex conjugate transmission mechanism. The transmission performance is difficult to meet the design requirements, and the accuracy evaluation system is not perfect, which has been restricting its development. This paper intends to overcome the above bottlenecks and promote the popularization and application of the mechanism through the research of relevant theory and technology. The main contents of this paper are as follows:. 1) in this paper, the research background is expounded, the definition of spatial multi-conjugate transmission mechanism is given, and the development of space meshing theory and its application in conjugate transmission mechanism are described. The research progress of static load strength checking and dynamics of spatial multi-conjugate transmission mechanism, the error analysis and synthesis of mechanism, the urgent problems that need to be studied are expounded, and the research contents of this paper are given accordingly. By introducing the knowledge of differential geometry, coordinate transformation and space conjugate condition, The meshing conditions of the multi-conjugate transmission mechanism are derived, the meshing model and digital simulation model of the super-toroidal planetary worm drive mechanism and the globoidal cam mechanism are established, and the engineering application of the spatial multi-conjugate cylindrical face cam is studied. In this paper, the load distribution model between contact points of space multi-conjugate transmission mechanism with multi-point conjugation is established, and based on this model, the change of pressure angle of super-toroidal planetary worm transmission mechanism is studied. The checking method of contact fatigue stress and bending fatigue stress of meshing teeth of the supertoroidal planetary worm drive mechanism is studied. 4) on the basis of the spatial multi-conjugate meshing model and the error-containing meshing model, the error analysis and synthesis of the spatial multi-conjugate transmission mechanism have been carried out, and taking the super-toroidal planetary worm drive mechanism and the globoidal cam mechanism as examples, Their accuracy system has been preliminarily established. 5) by studying the dynamic model of the toroidal planetary worm transmission mechanism, and then analyzing the method of adding error to the dynamic model, the influence of error on the natural frequency of the mechanism is studied, and the trial manufacture of the supertoroidal planetary worm gearbox is introduced. The bench test of transmission performance and the analysis of vibration characteristics have proved that the prototype of the supertoroidal planetary worm gearbox developed on the basis of the above theory has good transmission performance. In this paper, the formula of normal force of tooth surface with error is obtained by replacing the spiral rising angle with error. The normal force of tooth surface is calculated and analyzed by using Matlab programming language and substituting different error value of error. The effect of error on average load is investigated. In this paper, the error analysis of spatial multiplex conjugate transmission mechanism is taken as the main line, the meshing theory, the establishment of digital meshing model, the load distribution, the dynamic modeling and the trial production of the product are studied. Some progress has been made in solving the basic theory and key technical problems needed for the engineering application of this kind of mechanism.
【學(xué)位授予單位】：湘潭大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2014
【分類號(hào)】：TH112

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