圓柱正弦活齒傳動力學分析和模態(tài)仿真
本文選題:圓柱正弦活齒減速器 + 主曲率; 參考:《燕山大學》2012年碩士論文
【摘要】:隨著現(xiàn)代科技的飛速發(fā)展,減速器逐步趨向小型化、高速化、高可靠度化。微型減速器在航天、能源、交通等重要部門的應用越來越廣泛。圓柱正弦活齒減速器具有體積小、重量輕、傳動比大、潤滑性能好等優(yōu)點,具有廣闊的應用前景。本文對圓柱正弦活齒減速器主要構(gòu)件進行了受力分析和模態(tài)仿真研究。 首先,依據(jù)主動軸和殼體正弦滾道的齒廓方程,對正弦滾道齒面做了仿真分析,得出合理的齒廓曲線。計算出正弦滾道和活齒接觸點處的主曲率,分析了減速器的結(jié)構(gòu)參數(shù)變化對主曲率的影響規(guī)律,得到主曲率隨活齒位置角的變化規(guī)律;推導出活齒與殼體內(nèi)正弦滾道接觸點處的相對滑動速度計算公式,分析了減速器結(jié)構(gòu)參數(shù)變化對相對滑動速度的影響規(guī)律,結(jié)果表明:正弦滾道周期數(shù)對相對滑動速度的影響最大;此外,建立了活齒傳動的空間力學模型,對活齒進行了受力分析,計算了活齒與主動軸和殼體之間的接觸應力。 其次,利用三維建模軟件Pro/E建立了減速器的三維實體模型,驗證了殼體和導架模型的正確性。應用有限元分析軟件ANSYS對減速器進行了模態(tài)分析,,給出了減速器的低階固有頻率以及相應的各階振型圖。分析了不同工況下減速器的模態(tài)變化;結(jié)果表明:在減速器軸線垂直于地面的工況下,一階固有頻率最低。 最后,結(jié)合深井采油的實際工作環(huán)境,給定具體的工作參數(shù),設(shè)計出滿足工作條件的減速器模型,并利用ANSYS Workbench對模型進行了靜力分析,結(jié)果表明:減速器模型滿足實際工作條件,參數(shù)與結(jié)構(gòu)設(shè)計結(jié)果可行。
[Abstract]:With the rapid development of modern science and technology, reducer tends to miniaturization, high speed and high reliability. Micro-speed reducers are more and more widely used in aerospace, energy, transportation and other important departments. Cylindrical sinusoidal gear reducer has many advantages, such as small volume, light weight, large transmission ratio and good lubricity. In this paper, the force analysis and modal simulation of the main components of cylindrical sinusoidal movable teeth reducer are carried out. Firstly, according to the tooth profile equations of the driving shaft and the shell sinusoidal raceway, the tooth surface of the sinusoidal raceway is simulated and analyzed, and the reasonable tooth profile curve is obtained. The principal curvature of sinusoidal raceway and contact point of movable teeth is calculated, and the influence of structural parameters of reducer on principal curvature is analyzed, and the variation of principal curvature with the position angle of movable teeth is obtained. A formula for calculating the relative sliding velocity at the contact point of sinusoidal raceway between the movable teeth and the shell is derived, and the influence of the structural parameters of the reducer on the relative sliding velocity is analyzed. The results show that the sinusoidal raceway cycle number has the greatest influence on the relative sliding velocity, in addition, the spatial mechanical model of the movable tooth transmission is established, and the force analysis of the movable tooth is carried out, and the contact stress between the movable tooth and the active shaft and shell is calculated. Secondly, the 3D solid model of the reducer is established by using the 3D modeling software Pro/E, which verifies the correctness of the shell model and the guide model. The modal analysis of the reducer is carried out by using the finite element analysis software ANSYS. The low order natural frequency of the reducer and the corresponding modes of the reducer are given. The modal changes of the reducer under different working conditions are analyzed and the results show that the first order natural frequency is the lowest under the condition that the axis of the reducer is perpendicular to the ground. Finally, considering the actual working environment of deep well oil production and given the specific working parameters, the reducer model satisfying the working conditions is designed, and the static analysis of the model is carried out by using ANSYS Workbench. The results show that the reducer model meets the practical working conditions and the design results of parameters and structures are feasible.
【學位授予單位】:燕山大學
【學位級別】:碩士
【學位授予年份】:2012
【分類號】:TH132.41
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