A new dynamic model of light-weight spur gear transmission system considering the elasticity of the shaft and gear body
A new dynamic model of light-weight spur gear transmission system considering the elasticity of the shaft and gear body
复制标题
DOI：
10.1016/j.mechmachtheory.2021.104689
复制
发表时间：
2022
影响因子：
5.2
通讯作者：
Xianlei Guan;Jinyuan Tang;Zehua Hu;Qingshan Wang;Xiannian Kong
中科院分区：
文献类型：
--
作者：
Xianlei Guan;Jinyuan Tang;Zehua Hu;Qingshan Wang;Xiannian Kong
为了研究齿轮弹性对轻型直齿圆柱齿轮传动系统动力学特性的影响，建立了考虑轴弹性和齿轮弹性的轻型直齿圆柱齿轮传动系统动力学模型。直齿圆柱齿轮简化为弹性环和由齿腹弹性产生的支承弹簧。轴和环的建模是基于梁理论。基于多体动力学理论，得到了弹性轴-齿圈转子系统的动能。提出了一种考虑啮合点沿齿轮基圆沿着运动的时变啮合模型。采用微分求积有限元法（DQFEM）建立了SGTS的微分方程。通过与集中质量模型（LMM）的比较，将齿轮体的弹性设置为无穷小，验证了本模型的有效性。研究了齿腹弹性对齿轮传动的影响。结果表明，齿腹的弹性可以降低振动强度。
A dynamic model of light-weight spur gear transmission system (SGTS) considering the elasticity of shaft and gear body is established to study the influences of the elasticity of the gear body on the dynamic characteristics. The spur gear is simplified as elastic ring and support springs stemming from the elasticity of the gear web. The shaft and ring are modelled based on Timoshenko beam theory. The kinetic energy of the elastic shaft-ring gear rotor is obtained based on multibody dynamic theory. A time-varying meshing model is proposed considering the movements of the meshing points along the base circles of gears. The differential equations of the SGTS are formulated by differential quadrature finite element method (DQFEM). The present model is validated by compared to lumped-mass model (LMM) by setting the elasticity of the gear body to be infinitely small. The influences of the elasticity of the gear web are studied. The results show that the elasticity of the gear web can reduce the intensity of the vibration.