摘要
为有效提取行星齿轮传动系统柔性齿圈齿根动应力,综合考虑系统动力学特性,提出了一种内齿圈动应力的计算方法。在计算中,计入行星齿轮传动系统各部件的耦合关系,建立了行星齿轮传动系统平移-扭转耦合动力学模型,提取系统动载荷时域历程。采用有限元方法建立齿圈结构动力学分析模型,将内齿圈各轮齿啮合区划分出n条接触线,并用轮齿承载接触分析(LTCA)方法确定齿间载荷分配关系。运用模态叠加法对内齿圈动力学方程解耦,采用Newmark-β法逐次积分,计算了不同载荷下内齿圈齿根动应力。与Kahraman等仿真算法以及实验结果对比,结果表明:齿根应变在一个啮合周期中,经历了单齿受压、双齿拉压以及单齿受拉3个波动过程,与光纤光栅检测结果一致,并且在不同负载下,测量误差均小于10%;行星轮与内齿圈啮合至支撑位附近时,在支撑位置两侧形成反向对称变形趋势,应力呈现出对称分布,行星轮啮合位置远离内齿圈支撑位时,啮合位置应力明显增大,齿槽结构对齿圈齿根应力影响显著。
To effectively extract the dynamic stress of the flexible ring gear root of the planetary gear transmission system and comprehensively consider the dynamic characteristics of the system,a calculation for dynamic stress of the ring gear is carried out.In this calculation,taking the coupling relationship of the components of the planetary gear transmission system into account,the translation and torsion coupling dynamic model of the planetary gear transmission system is established,and the dynamic load time history of the system is extracted.The dynamic analysis model of ring gear structure is constructed with finite element method.The meshing area of each tooth in the ring gear is divided into n contact lines,and the dynamic equations of ring gear are decoupled by mode superposition,the dynamic stress of the ring gear root under different loads is calculated with Newmark-βmethod.The effectiveness of the calculation method is verified by comparing with Kahraman and the other simulation algorithms and experimental results.The results show that in a meshing period,the tooth root strain has experienced three wave processes,i.e.single tooth compression,double tooth tension and single tooth tension,which are consistent with the fiber Bragg grating detection results,and the measurement error is less than 10%under different loads.When the planetary gear and the ring gear are meshed near the support position,the opposite symmetrical deformation trend is formed on both sides of the support position,and the stress distributes symmetrically.When the planetary gear is meshed away from the inner ring gear support position,the stress at the meshing position increases significantly,and the tooth groove structure exerts a significant impact on stress at ring gear root.
作者
王成龙
周建星
孙文磊
王宏伟
乔帅
申勇
WANG Chenglong;ZHOU Jianxing;SUN Wenlei;WANG Hongwei;QIAO Shuai;SHEN Yong(School of Mechanical Engineering, Xinjiang University, Urumqi 830047, China)
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
2020年第6期122-132,共11页
Journal of Xi'an Jiaotong University
基金
国家自然科学基金资助项目(51665054)。
关键词
行星齿轮传动系统
柔性齿圈
有限元法
载荷分配
动应力
planetary gear drive system
flexible ring gear
finite element method
load distribution
dynamic stress
