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齒輪傳動系統(tǒng)彎扭耦合振動的動態(tài)特性研究

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  本文關(guān)鍵詞:齒輪傳動系統(tǒng)彎扭耦合振動的動態(tài)特性研究 出處:《華中科技大學》2011年碩士論文 論文類型:學位論文


  更多相關(guān)文章: 齒輪傳動系統(tǒng) 時變嚙合剛度 動態(tài)特性 參數(shù)激勵


【摘要】:齒輪傳動是應用最廣泛、最重要的傳動方式之一,當前基于靜態(tài)特性的齒輪設(shè)計理論已經(jīng)成熟,接觸強度、彎曲強度已經(jīng)能夠滿足使用要求,而齒輪傳動系統(tǒng)的動態(tài)特性如振動、沖擊、噪聲等已經(jīng)成為制約齒輪系統(tǒng)性能進一步提高的瓶頸,因此,本文以單級直齒齒輪傳動系統(tǒng)為研究對象,對其動力學特性進行了研究。 本文在考慮了時變嚙合剛度、嚙合阻尼、軸承剛度等因素的基礎(chǔ)上,利用集中參數(shù)法建立了齒輪傳動系統(tǒng)彎扭耦合4自由度動力學模型。由于齒輪時變嚙合剛度對系統(tǒng)的動態(tài)特性有重要影響,本文利用基于能量方法的數(shù)值積分公式求解了齒輪時變嚙合剛度,并對其進行曲線擬合,得到其傅里葉級數(shù)展開解析表達式。 應用模態(tài)分析的理論分析了系統(tǒng)的固有特性,求得了系統(tǒng)的固有頻率及模態(tài)振型。應用數(shù)值方法求解了剛性的系統(tǒng)振動微分方程,得到了參數(shù)激勵下齒輪傳動系統(tǒng)的扭轉(zhuǎn)振動、彎曲振動的時域、頻域響應及動態(tài)嚙合力。 最后,本文研究了重合度、嚙合阻尼、嚙合頻率、軸承剛度對系統(tǒng)動態(tài)特性的影響,分析了系統(tǒng)在不同參數(shù)條件下的響應變化規(guī)律。
[Abstract]:Gear transmission is one of the most widely used and most important transmission methods. At present, the theory of gear design based on static characteristics has been mature, contact strength, bending strength has been able to meet the requirements. The dynamic characteristics of gear transmission system, such as vibration, shock, noise and so on, have become the bottleneck restricting the further improvement of gear system performance. Therefore, this paper takes the single-stage spur gear transmission system as the research object. The kinetic characteristics of the system were studied. In this paper, time-varying meshing stiffness, meshing damping, bearing stiffness and other factors are considered. The dynamic model of four degrees of freedom coupled with bending and torsion of gear transmission system is established by means of the lumped parameter method. The time-varying meshing stiffness of gear has an important effect on the dynamic characteristics of the system. In this paper, the time-varying meshing stiffness of gears is solved by using the numerical integral formula based on the energy method, and the curve fitting is carried out, and the analytic expression of the Fourier series expansion is obtained. The inherent characteristics of the system are analyzed by using the theory of modal analysis. The natural frequencies and modal modes of the system are obtained, and the differential equations of vibration of the rigid system are solved by numerical method. The torsional vibration, bending vibration and dynamic meshing force in time domain and frequency domain are obtained. Finally, the effects of the degree of coincidence, meshing damping, meshing frequency and bearing stiffness on the dynamic characteristics of the system are studied, and the response law of the system under different parameters is analyzed.
【學位授予單位】:華中科技大學
【學位級別】:碩士
【學位授予年份】:2011
【分類號】:TH132.41

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