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變性橢圓齒輪嚙合理論及傳動(dòng)特性研究

發(fā)布時(shí)間:2018-06-08 22:34

  本文選題:變性橢圓齒輪 + 傳動(dòng)特性; 參考:《蘭州理工大學(xué)》2017年碩士論文


【摘要】:齒輪因自身獨(dú)特的傳動(dòng)優(yōu)勢(shì),在有傳動(dòng)要求的場(chǎng)合應(yīng)用普遍。非圓齒輪具有圓齒輪所不具有的傳動(dòng)特點(diǎn),使其在科技迅速發(fā)展的今天有廣闊的發(fā)展空間,而變性橢圓齒輪副是基于橢圓齒輪副的一種新型非圓齒輪。變性橢圓齒輪融合了橢圓及高階橢圓的傳動(dòng)特性,這一特性可以使齒輪副用于傳遞交變載荷,實(shí)現(xiàn)變速傳動(dòng),使其在汽車、工程機(jī)械及航空航天等領(lǐng)域存在潛在的應(yīng)用前景。因此,對(duì)變性橢圓齒輪的嚙合理論及傳動(dòng)特性進(jìn)行分析和研究存在必要性,具有重大的理論意義。本課題的研究對(duì)象是變性橢圓齒輪,在對(duì)變性橢圓齒輪的基本嚙合理論研究基礎(chǔ)上,進(jìn)行變性橢圓齒輪的節(jié)曲線及其曲率半徑等的相關(guān)公式進(jìn)行設(shè)計(jì)及計(jì)算;建立齒輪副的三維模型,并對(duì)齒輪副模型進(jìn)行模態(tài)分析,確定齒輪副的固有特性;對(duì)齒輪副的理論傳動(dòng)特性進(jìn)行分析,將運(yùn)動(dòng)仿真結(jié)果與理論進(jìn)行對(duì)比分析,進(jìn)一步明確了齒輪副的傳動(dòng)特性;最后分析了齒輪副與曲柄滑塊機(jī)構(gòu)相串聯(lián)機(jī)構(gòu)的運(yùn)動(dòng)特性,并根據(jù)特定的傳動(dòng)要求設(shè)計(jì)出變性橢圓齒輪副的節(jié)曲線。首先,依據(jù)非圓齒輪的基本嚙合原理,分析并推導(dǎo)出變性橢圓齒輪的相關(guān)理論,并建立其三維模型,為方便齒輪副的設(shè)計(jì)及今后的制造,在設(shè)計(jì)時(shí)應(yīng)力求齒輪副中的兩個(gè)齒輪完全相同。其次,建立齒輪副的有限元模型,通過(guò)有限元分析軟件ANSYS Workbench,得到所建立模型的固有振型及固有頻率,并對(duì)比分析了齒輪不同齒寬對(duì)其固有特性的影響規(guī)律,給今后齒輪系統(tǒng)的故障診斷提供理論支持;建立齒輪副的靜力學(xué)模型,分析并推導(dǎo)了相關(guān)靜力學(xué)參數(shù)的計(jì)算公式,從而獲得其靜力學(xué)特性,并推出齒輪副中輪齒的齒根彎曲疲勞強(qiáng)度及齒面接觸疲勞強(qiáng)度,為其靜力學(xué)分析提供參考。最后,對(duì)齒輪副的運(yùn)動(dòng)學(xué)特性進(jìn)行分析,討論了偏心率、從動(dòng)輪階數(shù)及變性系數(shù)對(duì)齒輪副傳動(dòng)特性的影響規(guī)律,并在運(yùn)動(dòng)仿真軟件中進(jìn)行其運(yùn)動(dòng)情況的仿真,從另一方面反應(yīng)了齒輪副設(shè)計(jì)的正確性;將齒輪副與曲柄滑塊機(jī)構(gòu)相串聯(lián),組成組合機(jī)構(gòu),研究這一機(jī)構(gòu)的傳動(dòng)規(guī)律,獲得這一機(jī)構(gòu)的運(yùn)動(dòng)學(xué)特性。經(jīng)過(guò)本課題的以上研究,使得變性橢圓齒輪的相關(guān)理論較為完善,再經(jīng)過(guò)模態(tài)分析,靜力學(xué),運(yùn)動(dòng)學(xué)研究,進(jìn)一步分析了變性橢圓齒輪副的各個(gè)傳動(dòng)特性,從而給今后齒輪副的工業(yè)應(yīng)用提供了理論參考依據(jù)。
[Abstract]:Because gear has its own unique transmission advantages, it is widely used in the situation of transmission requirements. Non circular gear has the transmission characteristics that the circular gear does not have, so that it has a broad development space in the rapid development of science and technology, and the denatured elliptical gear pair is a new type of non circular gear based on the elliptical gear pair. The transmission characteristics of round and high order ellipse can make the gear pair used to transfer alternating load, realize variable transmission and have potential application prospects in the fields of automobile, engineering machinery and Aeronautics and Astronautics. Therefore, it is necessary to analyze and study the meshing theory and transmission characteristics of denatured elliptical gears, which are of great importance. On the basis of the basic meshing theory of the denatured elliptical gear, this subject is designed and calculated on the basis of the basic meshing theory of the denatured elliptical gear. The three-dimensional model of the gear pair is established, and the modal analysis of the gear pair model is carried out to determine the gear. The theoretical transmission characteristics of the gear pair are analyzed, the results of the motion simulation and the theory are compared and analyzed, and the transmission characteristics of the gear pair are further clarified. Finally, the motion characteristics of the gear pair and the crank slider mechanism series mechanism are analyzed, and the denatured elliptical gear pair is designed according to the special transmission requirements. First, according to the basic meshing principle of the non circular gear, the related theory of the denatured ellipse gear is analyzed and deduced, and its three-dimensional model is established. In order to facilitate the design of the gear pair and the future manufacture, the two gears in the gear pair should be made the same. Secondly, the finite element model of the gear pair is set up, and the finite element method is used. The software ANSYS Workbench is analyzed, and the inherent vibration mode and natural frequency of the model are obtained, and the influence law of different gear width on its inherent characteristics is compared and analyzed. The theoretical support for the fault diagnosis of the gear system in the future is provided, the statics model of the gear pair is established, and the calculation formulas of the related statics parameters are analyzed and deduced, thus the calculation formula of the related statics parameters is analyzed and derived. The static characteristics of the gear pair are obtained, and the tooth root bending fatigue strength and the contact fatigue strength of the gear teeth are introduced, which can provide reference for the static analysis of the gear pair. Finally, the kinematic characteristics of the gear pair are analyzed, the eccentricity rate, the influence law of the order of the moving wheel and the denaturalization coefficient on the gear transmission characteristics are discussed, and the motion simulation is also simulated. The simulation of the motion situation in the software reacts the correctness of the gear pair design on the other hand, and the gear pair is connected with the crank slider mechanism to form a combination mechanism to study the transmission law of this mechanism and obtain the kinematic characteristics of the mechanism. The related theory of the denatured elliptical gear is made by the above research. In order to improve, then through modal analysis, statics and kinematics, the transmission characteristics of the denatured elliptical gear pair are further analyzed, which provides a theoretical reference for the industrial application of the gear pair in the future.
【學(xué)位授予單位】:蘭州理工大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2017
【分類號(hào)】:TH132.41

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