本文選題：鋼球精密傳動(dòng) + 嚙合剛度�。� 參考：《燕山大學(xué)》2016年碩士論文

【摘要】：實(shí)時(shí)無隙鋼球精密傳動(dòng)是在擺線鋼球行星傳動(dòng)的基礎(chǔ)上發(fā)展而來的一種更新穎、精密的傳動(dòng)形式,進(jìn)而其動(dòng)力學(xué)特性更為復(fù)雜。本文針對(duì)實(shí)時(shí)無隙鋼球精密傳動(dòng)的動(dòng)力學(xué)性能,對(duì)嚙合副嚙合剛度及載荷特性、傳動(dòng)系統(tǒng)固有特性、動(dòng)態(tài)特性等方面進(jìn)行了較為深入的研究應(yīng)用數(shù)值方法求解空間點(diǎn)接觸赫茲問題,求解出赫茲接觸系數(shù)。以偏心軸輸入軸轉(zhuǎn)角為參變量,求得各嚙合副嚙合剛度系數(shù)曲線,進(jìn)而得到行星盤轉(zhuǎn)角變形曲線�；谵D(zhuǎn)角變形,對(duì)嚙合副嚙合剛度系數(shù)進(jìn)行等效簡(jiǎn)化。采用鋼球嚙合副四點(diǎn)接觸受力理論,通過構(gòu)造軸向預(yù)緊力以及周向的力矩平衡方程求解出擺線鋼球嚙合副和環(huán)形槽鋼球嚙合副的嚙合力,并與兩點(diǎn)接觸受力理論進(jìn)行了比較,并對(duì)傳動(dòng)系統(tǒng)的四個(gè)變形量進(jìn)行了分析。建立了實(shí)時(shí)無隙鋼球精密傳動(dòng)系統(tǒng)在偏心軸隨動(dòng)參考坐標(biāo)系下的平移—扭轉(zhuǎn)耦合四自由度振動(dòng)模型。通過分析各嚙合力間的相對(duì)位置關(guān)系,推導(dǎo)出系統(tǒng)的運(yùn)動(dòng)微分方程和動(dòng)力學(xué)方程,對(duì)動(dòng)力學(xué)方程中嚙合副嚙合系數(shù)進(jìn)行時(shí)域分析,并應(yīng)用快速傅里葉變換對(duì)合副嚙合系數(shù)進(jìn)行了頻域分析,得到其頻譜成分。研究了實(shí)時(shí)無隙鋼球精密傳動(dòng)系統(tǒng)的動(dòng)態(tài)特性問題,求解出參數(shù)振動(dòng)派生系統(tǒng)的固有特性,并分析了外力矩等參數(shù)對(duì)派生系統(tǒng)固有頻率的影響;采用數(shù)值算法分析參數(shù)振動(dòng)的穩(wěn)定性,并繪制出穩(wěn)定區(qū)間與阻尼的關(guān)系圖;采用諧波平衡法,基于載荷的不同形式對(duì)實(shí)時(shí)無隙鋼球精密傳動(dòng)系統(tǒng)參數(shù)振動(dòng)的穩(wěn)態(tài)響應(yīng)進(jìn)行了分析。
[Abstract]:The real-time gap-free steel ball precision transmission is a new and precise transmission form based on cycloidal steel ball planetary transmission, and its dynamic characteristics are more complex. In this paper, according to the dynamic performance of real time gap-free steel ball precision transmission, the meshing stiffness and load characteristics of meshing pair and the inherent characteristics of transmission system are discussed. In this paper, the numerical method is used to solve the spatial point contact Hertz problem, and the Hertz contact coefficient is obtained. The stiffness coefficient curve of each meshing pair is obtained by using the input axis angle of the eccentric axis as the parameter variable, and the angular deformation curve of the planetary disk is obtained. Based on the angle deformation, the equivalent simplification of the meshing stiffness coefficient of the meshing pair is carried out. Based on the four-point contact force theory of steel ball meshing pair, the engagement force of cycloidal steel ball meshing pair and ring channel steel ball meshing pair is solved by constructing axial pretightening force and circumferential moment equilibrium equation, and the results are compared with that of two-point contact force theory. The four deformations of the transmission system are analyzed. In this paper, a four-degree-of-freedom vibration model of a real-time gap-free steel ball precision transmission system in a reference coordinate system of eccentric axis is established, which is coupled with translation and torsion. By analyzing the relative position relationship between the meshing forces, the differential equation of motion and the dynamic equation of the system are derived, and the meshing coefficient of the meshing pair in the dynamic equation is analyzed in time domain. The fast Fourier transform involutive pair meshing coefficient is analyzed in frequency domain and the spectrum component is obtained. In this paper, the dynamic characteristics of the real-time gap-free steel ball precision transmission system are studied, the inherent characteristics of the parametric vibration derivative system are solved, and the influence of the external torque on the natural frequency of the derived system is analyzed. The stability of parameter vibration is analyzed by numerical algorithm, and the relation diagram between stability interval and damping is drawn, and the harmonic balance method is used. Based on the different forms of load, the steady state response of parameter vibration of real time seamless steel ball precision transmission system is analyzed.
【學(xué)位授予單位】：燕山大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2016
【分類號(hào)】：TH132.4

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