振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2014年
18期
177-184,189
,共9页
桂永方%朱如鹏%靳广虎%李枝军
桂永方%硃如鵬%靳廣虎%李枝軍
계영방%주여붕%근엄호%리지군
齿轮%动力学分析%均载%齿侧间隙%分流
齒輪%動力學分析%均載%齒側間隙%分流
치륜%동역학분석%균재%치측간극%분류
gear%dynamic analysis%load sharing%backlash%split-torque
基于集中参数,建立了双输入圆柱齿轮分流传动系统的弯扭耦合动力学模型,模型中考虑了各齿轮副间的齿侧间隙、时变啮合刚度、啮合阻尼等因素。采用四阶龙格-库塔法,求解系统动力学方程,获得了系统的动力学均载系数。分析了齿侧间隙对均载系数的影响,获得了齿侧间隙对分流级、并车级均载系数的变化规律。研究结果表明:分流级均载系数随分流级单分支齿侧间隙增加而增大,随分流级双分支齿侧间隙增加而减小;分流级单分支、双分支齿侧间隙对并车级均载系数影响较小;并车级均载随并车级单分支齿侧间隙增加而增大,随并车级双分支齿侧间隙增加而减小;并车级单分支、双分支齿侧间隙对分流级均载系数影响较小;动载系数随双分支齿侧间隙的增加而增大。
基于集中參數,建立瞭雙輸入圓柱齒輪分流傳動繫統的彎扭耦閤動力學模型,模型中攷慮瞭各齒輪副間的齒側間隙、時變齧閤剛度、齧閤阻尼等因素。採用四階龍格-庫塔法,求解繫統動力學方程,穫得瞭繫統的動力學均載繫數。分析瞭齒側間隙對均載繫數的影響,穫得瞭齒側間隙對分流級、併車級均載繫數的變化規律。研究結果錶明:分流級均載繫數隨分流級單分支齒側間隙增加而增大,隨分流級雙分支齒側間隙增加而減小;分流級單分支、雙分支齒側間隙對併車級均載繫數影響較小;併車級均載隨併車級單分支齒側間隙增加而增大,隨併車級雙分支齒側間隙增加而減小;併車級單分支、雙分支齒側間隙對分流級均載繫數影響較小;動載繫數隨雙分支齒側間隙的增加而增大。
기우집중삼수,건립료쌍수입원주치륜분류전동계통적만뉴우합동역학모형,모형중고필료각치륜부간적치측간극、시변교합강도、교합조니등인소。채용사계룡격-고탑법,구해계통동역학방정,획득료계통적동역학균재계수。분석료치측간극대균재계수적영향,획득료치측간극대분류급、병차급균재계수적변화규률。연구결과표명:분류급균재계수수분류급단분지치측간극증가이증대,수분류급쌍분지치측간극증가이감소;분류급단분지、쌍분지치측간극대병차급균재계수영향교소;병차급균재수병차급단분지치측간극증가이증대,수병차급쌍분지치측간극증가이감소;병차급단분지、쌍분지치측간극대분류급균재계수영향교소;동재계수수쌍분지치측간극적증가이증대。
Based on the method of lumped parameters,a dynamic model was established for a 2-input cylindrical gear split-torque transmission system considering time-varying mesh stiffness,backlashes and mesh damping.Through solving its dynamic equations with the fourth order Runge-Kutta method,the dynamic load sharing coefficients of the system were acquired.The results showed that the load sharing coefficient of the split-torque stages increases with increase in backlash of single branch in split-torque stages,and it decreases with increase in backlash of dual-branch in split-torque stages;the backlashes of single-branch and dual-branch in split-torque stages have a smaller impact on the load sharing coefficient of synthesized torque stages;the load sharing coefficient of the synthesized torque stages increases with increase in backlash of single branch in synthesized torque stages,and it decreases with increase in backlash of dual-branch in synthesized torque stages;the backlashes of single-branch and dual-branch in synthesized torque stages have a smaller impact on the load sharing coefficient of split-torque stages;the dynamic load coefficient increases with increase in backlash of dual-branch.