發(fā)布時間：2019-06-11 22:36

【摘要】：機械齒輪傳動利用輪齒相互嚙合傳遞運動和動力，傳動過程中輪齒間直接接觸，因此不可避免地存在摩擦、磨損、振動和噪音等問題，且工作過程中需進行潤滑，導致其在加工環(huán)境要求較高的食品、醫(yī)藥和化工等領域的應用受到了一定限制。磁性齒輪傳動通過永磁體之間的磁耦合作用傳遞運動和動力，傳動過程中無轉(zhuǎn)動體直接接觸，克服了機械齒輪傳動過程中輪齒嚙合帶來的問題，且具有過載保護能力，現(xiàn)已成為國內(nèi)外學者關(guān)注的研究熱點。 本文研究了一種基于磁場調(diào)制機理的同心式新型磁性齒輪，除擁有傳統(tǒng)平行軸式磁性齒輪的優(yōu)點外，還具有可傳遞轉(zhuǎn)矩大和轉(zhuǎn)矩密度高等優(yōu)點。作為一種新型磁性齒輪傳動方式，研究其磁耦合動力學問題對于進行系統(tǒng)動態(tài)參數(shù)優(yōu)化設計和提高系統(tǒng)傳動性能具有極其重要的意義。 磁場調(diào)制型磁齒輪磁耦合剛度分析�；诖艌稣{(diào)制型磁齒輪的工作原理，通過麥克斯韋應力張量法推導了內(nèi)外轉(zhuǎn)子的平均靜態(tài)轉(zhuǎn)矩和磁耦合剛度，采用電磁學仿真軟件Ansoft Maxwell對理論結(jié)果進行了驗證，并分析了軸向長度、內(nèi)轉(zhuǎn)子鐵心軛部外徑和剩磁等設計參數(shù)對轉(zhuǎn)矩特性和磁耦合剛度的影響規(guī)律，為系統(tǒng)結(jié)構(gòu)參數(shù)優(yōu)化奠定了理論基礎。 磁場調(diào)制型磁齒輪傳動系統(tǒng)自由振動分析。建立了磁場調(diào)制型磁齒輪傳動系統(tǒng)動力學模型和方程，利用解析法對系統(tǒng)進行了模態(tài)分析，得到了六種典型的振動模態(tài)，討論了不同磁耦合剛度下系統(tǒng)模態(tài)固有頻率和振型的變化規(guī)律，并完成了固有頻率對各設計參數(shù)靈敏度的公式推導及規(guī)律分析。 磁場調(diào)制型磁齒輪傳動系統(tǒng)強迫振動分析。建立了磁場調(diào)制型磁齒輪傳動系統(tǒng)強迫振動方程，，利用正則變換法和傳遞函數(shù)法分別求解了系統(tǒng)時域和頻域響應，將系統(tǒng)共振分為內(nèi)轉(zhuǎn)子轉(zhuǎn)矩波動激勵、外轉(zhuǎn)子轉(zhuǎn)矩波動激勵和內(nèi)外轉(zhuǎn)子轉(zhuǎn)矩聯(lián)合波動激勵三種情況對系統(tǒng)進行時域響應分析，并討論了磁齒輪傳動系統(tǒng)由于磁耦合剛度比機械支撐剛度小而引起的特有振動現(xiàn)象，完成了設計參數(shù)對系統(tǒng)頻域響應的影響規(guī)律分析。 磁場調(diào)制型磁齒輪傳動系統(tǒng)參數(shù)振動分析�？紤]磁場調(diào)制型磁齒輪傳動系統(tǒng)構(gòu)件偏心引起的磁耦合剛度波動，建立了磁場調(diào)制型磁齒輪傳動系統(tǒng)參數(shù)振動方程，采用多尺度法求解了外部激勵頻率接近系統(tǒng)固有頻率時系統(tǒng)主共振響應和外部激勵頻率接近系統(tǒng)固有頻率與嚙合頻率的組合頻率時系統(tǒng)組合共振響應，分析了主共振與組合共振中的主導頻率，以及磁耦合剛度波動引起的系統(tǒng)特有的主共振和組合共振現(xiàn)象。 完成了磁場調(diào)制型磁齒輪樣機結(jié)構(gòu)的設計、加工和調(diào)試，搭建了樣機的轉(zhuǎn)矩特性和模態(tài)實驗平臺，開展了樣機的轉(zhuǎn)矩和固有頻率測試，通過實驗測試結(jié)果和解析法計算結(jié)果的對比，驗證了理論計算的正確性和樣機設計的合理性。
[Abstract]:Mechanical gear transmission uses gear teeth to engage each other to transfer motion and power, and the direct contact between gear teeth in the transmission process, so there are inevitably friction, wear, vibration and noise problems, and lubrication is needed in the working process, which limits its application in the fields of food, medicine and chemical industry, which require high processing environment. Magnetic gear transmission transmits motion and power through the magnetic coupling between permanent magnets. There is no direct contact of rotating body in the transmission process, which overcome the problems caused by gear tooth meshing in the process of mechanical gear transmission, and has the ability of overload protection. Now, it has become a research focus of scholars at home and abroad. In this paper, a new concentric magnetic gear based on magnetic field modulation mechanism is studied, which not only has the advantages of traditional parallel shaft magnetic gear, but also has the advantages of large transferable torque and high torque density. As a new type of magnetic gear transmission mode, it is of great significance to study its magnetic coupling dynamics for optimizing the dynamic parameters of the system and improving the transmission performance of the system. Analysis of magnetic coupling stiffness of magnetic field modulation magnetic gear. Based on the working principle of magnetic field modulation magnetic gear, the average static torque and magnetic coupling stiffness of internal and external rotors are derived by Maxwell stress tensor method. The theoretical results are verified by Ansoft Maxwell, and the effects of axial length, outer diameter of inner rotor core yoke and remanence magnetic field on torque characteristics and magnetic coupling stiffness are analyzed, which lays a theoretical foundation for the optimization of system structural parameters. Free vibration analysis of magnetic field modulation magnetic gear transmission system. The dynamic model and equation of magnetic field modulation magnetic gear transmission system are established, and six typical vibration modes are obtained by analytical method. The variation laws of natural frequency and vibration mode of the system under different magnetic coupling stiffness are discussed, and the formula derivation and law analysis of the sensitivity of natural frequency to each design parameter are completed. Forced vibration analysis of magnetic field modulation magnetic gear transmission system. The forced vibration equation of magnetic field modulation magnetic gear transmission system is established. The time domain and frequency domain responses of the system are solved by canonical transformation method and transfer function method, respectively. the resonance of the system is divided into three cases: internal rotor torque fluctuation excitation, external rotor torque fluctuation excitation and internal and external rotor torque joint fluctuation excitation to analyze the time domain response of the system. The special vibration phenomenon caused by the smaller stiffness of magnetic coupling stiffness than that of mechanical support is discussed, and the influence of design parameters on the response of the system in frequency domain is analyzed. Parameter vibration analysis of magnetic field modulation magnetic gear transmission system. Considering the fluctuation of magnetic coupling stiffness caused by eccentricity of magnetic field modulation magnetic gear transmission system, the parameter vibration equation of magnetic field modulation magnetic gear transmission system is established. The main resonance response of the system when the external excitation frequency is close to the natural frequency of the system and the combined resonance response of the system when the external excitation frequency is close to the combined frequency of the system natural frequency and meshing frequency are solved by using the multi-scale method. The dominant frequencies in the main resonance and the combined resonance, as well as the special main resonance and combined resonance caused by the fluctuation of the magnetic coupling stiffness, are analyzed. The structure design, machining and debugging of the magnetic field modulation magnetic gear prototype are completed, the torque characteristics and modal experimental platform of the prototype are built, the torque and natural frequency of the prototype are tested, and the correctness of the theoretical calculation and the rationality of the prototype design are verified by comparing the experimental test results with the analytical results.
【學位授予單位】：燕山大學
【學位級別】：博士
【學位授予年份】：2014
【分類號】：TH132.41

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