Dynamic meshing characteristics analysis of spur gears based on LS-DYNA
-
摘要: 基于接触有限元分析理论和显式计算方法,利用LS-DYNA软件,可以高保真地模拟齿轮动态啮合过程。通过建立某实验研究中齿轮的精确啮合有限元分析模型,利用上述方法,模拟实验齿轮的动态啮合过程,根据数值计算结果分析齿轮动态啮合过程的振动特性。研究表明:齿轮动态啮合过程的数值模拟结果与实验结果具有很好的一致性;薄壁齿轮易产生结构振动,且其轮缘振动明显;降低轮缘及腹板的厚度,会使得轮缘及腹板承担齿轮啮合载荷的比重增大;当腹板位置不在齿宽中心时,会导致直齿轮动态啮合过程产生轴向啮合力。此外,研究还得出齿轮的共振条件以及齿轮共振状态的判定方法。Abstract: Based on contact finite element analysis theory and explicit calculation method, the dynamic meshing process of gears could been simulated with high-fidelity by using LS-DYNA software. The precise finite element analysis model of a meshed gear in one experiment is built, its dynamic meshing process in experiment is simulated by using the above methods, and the dynamic vibration characteristics of gears are obtained through studying the numerical results. The results of numerical simulation through LS-DYNA software have good consistency with experiment results. The gear with thin rim and thin web has more chances to produce structural vibrations and its rim vibration is more obvious. The gear meshing load shared by rim and web would increase when the thickness of rim and web are reduced. When the web is not located at the center of face width, the axial force will appear in spur meshing process. Besides, the conditions of gear resonance and the method for determining gear resonance state are summarized.
-
[1] 李润方,王建军.齿轮系统动力学[M].北京:科学出版社,1997.LI R F,WANG J J.Gear system dynamics[M].Beijing:Science Press,1997(in Chinese). [2] 陶泽光,李润方,林腾蛟.齿轮系统有限元模态分析[J].机械设计与研究,2000(3):45-46.TAO Z G,LI R F,LIN T J.Finite element modal analysis of gear system[J].Machine Design & Research,2000(3):45-46(in Chinese). [3] 周立峰.基于ANSYS的行星齿轮系统参数化建模与模态分析研究[D].南京:南京航空航天大学,2009.ZHOU L F.Parameterized modeling and mode analysis of planetary gear train based on ANSYS[D].Nanjing:Nanjing University of Aeronautics and Astronautics,2009(in Chinese). [4] 吴文光,朱如鹏.基于Workbench的斜齿轮固有特性分析[J].机械传动,2010,34(4):54-56.WU W G,ZHU R P.Analysis on natural vibration characteristics of helical gear based on Workbench[J].Journal of Mechanical,2010,34(4):54-56(in Chinese). [5] 林腾蛟,杨妍妮,李润方,等.弧齿锥齿轮传动内部动态激励数值仿真[J].重庆大学学报,2009,32(6):609-613.LIN T J,YANG Y N,LI R F,et al.Numerical simulation of the internal dynamic excitation of a spiral bevel gear transmission[J].Journal of Chongqing University,2009,32(6):609-613(in Chinese). [6] 常乐浩,刘更,郑雅萍,等.一种基于有限元法和弹性接触理论的齿轮啮合刚度改进算法[J].航空动力学报,2014,29(3):682-688.CHANG L H,LIU G,ZHENG Y P,et al.A modified method for determining mesh stiffness of gears based on finite element method and elastic contact theory[J].Journal of Aerospace Power,2014,29(3):682-688(in Chinese). [7] 李亚鹏,孙伟,魏静,等.齿轮时变啮合刚度改进计算方法[J].机械传动,2010,34(5):22-26.LI Y P,SUN W,WEI J,et al.Study on the improved algorithm of the time-varying meshing stiffness of gear[J].Journal of Mechanical,2010,34(5):22-26(in Chinese). [8] HE S,GUNDA R,SINGH R.Effect of sliding friction on the dynamics of spur gear pair with realistic time-varying stiffness[J].Journal of Sound and Vibration,2007,301(3-5):927-949. [9] HE S,ROOK T,SINGH R.Construction of semianalytical solutions to spur gear dynamics given periodic mesh stiffness and sliding friction functions[J].Journal of Mechanical Design,2008,130(12):122601. [10] LIN T,OU H,LI R.A finite element method for 3D static and dynamic contact/impact analysis of gear drives[J].Computer Methods in Applied Mechanics and Engineering,2007,196(9-12):1716-1728. [11] PARKER R G,AGASHE V,VIJAYAKAR S M.Dynamic response of a planetary gear system using a finite element/contact mechanics model[J].Journal of Mechanical Design,2000,122(3):304-310. [12] 唐进元,彭方进.准双曲面齿轮动态啮合性能的有限元分析研究[J].振动与冲击,2011,30(7):101-106.TANG J Y,PENG F J.Finite element analysis for dynamic meshing of a pair of hypoid gears[J].Journal of Vibration and Shock,2011,30(7):101-106(in Chinese). [13] 吴勇军,梁跃,杨燕,等.齿轮副动态啮合特性的接触有限元分析[J].振动与冲击,2012,31(19):61-67.WU Y J,LIANG Y,YANG Y,et al.Dynamic meshing characteristics of a gear pair using contact finite element method[J].Journal of Vibration and Shock,2012,31(19):61-67(in Chinese). [14] WU Y J,WANG J J,HAN Q K.Contact finite element method for dynamic meshing characteristics analysis of continuous engaged gear drives[J].Journal of Mechanical Science and Technology,2012,26(6):1671-1685. [15] LI S T.Experimental investigation and FEM analysis of resonance frequency behavior of three-dimensional,thin-walled spur gears with a power-circulating test rig[J].Mechanism and Machine Theory,2008,43(8):934-963. [16] Japanese Industry Standards.Shape and dimensions of spur gears for general engineering:JIS B 1721[S].Tokyo:Japanese Standard Association,1984.
点击查看大图
计量
- 文章访问数: 1162
- HTML全文浏览量: 36
- PDF下载量: 707
- 被引次数: 0