【摘要】：本文對非等模數(shù)非等壓力角行星齒輪傳動系統(tǒng)的設(shè)計和動力學(xué)特性進行了研究,主要包括:非等模數(shù)非等壓力角行星齒輪傳動系統(tǒng)的幾何參數(shù)計算及其優(yōu)化設(shè)計、齒輪強度的計算與分析、系統(tǒng)的均載特性分析和試驗驗證、系統(tǒng)的非線性動力學(xué)建模型及其動力學(xué)特性分析。論文主要研究內(nèi)容有:(1)推導(dǎo)了非等模數(shù)非等壓力角齒輪副無側(cè)隙嚙合計算方程,給出了實際中心距、齒頂高變動系數(shù)等齒輪副幾何參數(shù)的計算方法,并將它們應(yīng)用到行星齒輪傳動系統(tǒng)的參數(shù)計算中;建立了非等模數(shù)非等壓力角齒輪副的接觸應(yīng)力計算方程,分析比較了內(nèi)外嚙合副在齒輪模數(shù)比不同時,齒輪副的接觸強度、彎曲強度和膠合強度安全系數(shù)的變化趨勢;建立了以體積最小和行星輪個數(shù)最優(yōu)為目標函數(shù)的行星齒輪傳動系統(tǒng)優(yōu)化設(shè)計模型并求解運算,獲得理想的設(shè)計方案,發(fā)揮了非等模數(shù)非等壓力角齒輪副嚙合性能。(2)考慮齒輪的偏心誤差、齒頻誤差以及齒輪副的平均嚙合剛度等,建立了非等模數(shù)非等壓力角行星齒輪傳動系統(tǒng)的靜力學(xué)和動力學(xué)模型;分別運用力學(xué)平衡法和傅里葉級數(shù)法對力學(xué)方程進行數(shù)值仿真分析,獲得了該系統(tǒng)的靜力學(xué)和動力學(xué)響應(yīng);分析比較了非等模數(shù)非等壓力角和等模數(shù)等壓力角以及齒輪副壓力角不同時的系統(tǒng)均載特性,獲得了齒輪主要參數(shù)對系統(tǒng)均載性能的影響規(guī)律;開發(fā)了行星齒輪傳動系統(tǒng)的均載特性分析軟件;開展了均載性能試驗驗證測試,驗證上述計算方法的正確性。(3)考慮到齒輪副齒側(cè)間隙、時變嚙合剛度和齒輪副綜合誤差,采用集中質(zhì)量法建立了非等模數(shù)非等壓力角行星齒輪傳動系統(tǒng)的彎曲-扭轉(zhuǎn)振動的非線性動力學(xué)模型;推導(dǎo)出多間隙、變參數(shù)的多自由度非等模數(shù)非等壓力角行星齒輪傳動系統(tǒng)的非線性無量綱化微分方程組。(4)利用諧波平衡法對動力學(xué)微分方程進行數(shù)值仿真,獲得了系統(tǒng)的非線性動力學(xué)頻域響應(yīng),分析了考慮齒側(cè)間隙時該系統(tǒng)出現(xiàn)幅值跳躍現(xiàn)象的典型非線性特征;對非線性系統(tǒng)和線性系統(tǒng)、非等模數(shù)非等壓力角系統(tǒng)和等模數(shù)等壓力角系統(tǒng)進行了動態(tài)響應(yīng)對比分析;研究了阻尼系數(shù)、嚙合剛度變動系數(shù)和誤差幅值對該系統(tǒng)動態(tài)特性的影響,獲得了與線性系統(tǒng)響應(yīng)不一致的非線性系統(tǒng)的變化規(guī)律。(5)利用龍格庫塔法對非等模數(shù)非等壓力角行星齒輪傳動系統(tǒng)的動力學(xué)微分方程進行數(shù)值仿真,獲得了不同激勵頻率下的系統(tǒng)非線性動態(tài)特性;研究了該系統(tǒng)的動力學(xué)分岔特性,獲得了阻尼系數(shù)不同時系統(tǒng)隨激勵頻率變化、激勵頻率不同時系統(tǒng)隨著齒側(cè)間隙變化時的分岔規(guī)律;研究了非線性模型下的行星齒輪傳動系統(tǒng)功率分流均載特點,獲得了齒輪副模數(shù)和齒側(cè)間隙對系統(tǒng)均載性能的影響規(guī)律。
[Abstract]:In this paper, the design and dynamic characteristics of the non-constant modulus and unequal pressure angle planetary gear transmission system are studied. The main contents are as follows: the geometric parameter calculation and the optimization design of the non-equal modulus and non-equal pressure angle planetary gear transmission system. The calculation and analysis of gear strength, the analysis and verification of the system's average load characteristics, the establishment of nonlinear dynamic model and the analysis of its dynamic characteristics are presented. The main contents of this paper are as follows: (1) the calculation equation of non-equal modulus and unequal pressure angle gear pair is derived, and the calculation method of geometric parameters of gear pair, such as actual center distance, change coefficient of tooth top height and so on, is given. They are applied to the parameter calculation of planetary gear transmission system. The calculation equation of contact stress of non-equal modulus and unequal pressure angle gear pair is established, and the change trend of contact strength, bending strength and safety factor of adhesive strength of internal and external meshing pair is analyzed and compared with the difference of gear modulus ratio. The optimal design model of planetary gear transmission system with the minimum volume and the optimal number of planetary gears as the objective function is established and solved, and the ideal design scheme is obtained. The meshing performance of non-equal modulus, non-equal pressure angle gear pair is brought into play. (2) considering the gear eccentricity error, tooth frequency error and the average meshing stiffness of gear pair, etc. The statics and dynamics models of the planetary gear transmission system with non-constant modulus and unequal pressure angle are established. The static and dynamic responses of the system are obtained by numerical simulation and analysis of the mechanical equations by using the mechanical equilibrium method and the Fourier series method respectively. The load sharing characteristics of the system with different pressure angles of unequal modulus and equal modulus and pressure angle of gear pair are analyzed and compared, and the influence of main parameters of gear on the load sharing performance of the system is obtained. A software for the analysis of the load sharing characteristics of planetary gear transmission system is developed. The load sharing performance test was carried out to verify the correctness of the above calculation methods. (3) considering the gear pair side clearance, the time-varying meshing stiffness and the gear pair comprehensive error, The nonlinear dynamic model of the bending torsional vibration of the non-constant modulus and unequal pressure angle planetary gear transmission system is established by means of the lumped mass method. The nonlinear dimensionless differential equations of multi-degree-of-freedom, non-constant pressure angle planetary gear transmission systems with multiple clearances and variable parameters are derived. (4) the dynamic differential equations are numerically simulated by using harmonic balance method. The nonlinear dynamic frequency domain response of the system is obtained, and the typical nonlinear characteristics of the amplitude jump phenomenon are analyzed when the tooth side clearance is considered. The dynamic response of nonlinear system, linear system, non-equal modulus non-equal pressure angle system and equal modulus equal pressure angle system are compared and analyzed. The effects of damping coefficient, meshing stiffness variation coefficient and error amplitude on the dynamic characteristics of the system are studied. The variation law of nonlinear system which is inconsistent with the response of linear system is obtained. (5) the dynamic differential equation of the non-isodal non-isobaric angle planetary gear transmission system is numerically simulated by the Runge-Kutta method. The nonlinear dynamic characteristics of the system with different excitation frequencies are obtained. The dynamic bifurcation characteristics of the system are studied, and the bifurcation law is obtained when the damping coefficient varies with the excitation frequency and the excitation frequency varies with the tooth clearance. In this paper, the power distribution and load sharing characteristics of planetary gear transmission system under nonlinear model are studied, and the influence of gear pair modulus and tooth side clearance on the load sharing performance of the system is obtained.
【學(xué)位授予單位】：南京航空航天大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2014
【分類號】：TH132.41

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