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Nonlinear dynamics of helical gears with backlash Initial behaviour of helical gears by torque fluctuation

机译:螺旋齿轮螺旋齿轮齿轮初始行为的非线性动力学通过扭矩波动

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Backlash and tooth stiffness variation are the important nonlinear factors to gears. This work studied initial behaviour by nonlinear model of helical gears with backlash and tooth stiffness variation, and excitation of helical gears focused on torque fluctuation. For this purpose, 12 DOF equations of motion of helical gears with the periodical change of mesh stiffness and backlash were derived. The Newmark beta method and the Newton-Raphson method were used to obtain nonlinear behaviour of helical gears. Many excitation frequencies initially caused the tooth separation and single-sided impacts of the gear pair and eventually led to the normal tooth contact. However, some special excitation frequencies caused the single-sided impacts in the entire time. Fluctuation torque increase made the single-sided impacts in the entire time, and damping increase reduced the duration of single-sided impacts. Backlash increase extended the duration of single-sided impacts and also increased mesh force.
机译:间隙和牙齿僵硬变化是齿轮的重要非线性因素。这项工作研究了具有螺旋齿轮的非线性模型的初始行为,螺旋齿轮和齿刚度变化,以及聚焦扭矩波动的螺旋齿轮的激发。为此目的,推导出具有网眼刚度和间隙的周期性变化的螺旋齿轮的12dof方程。纽马克测试方法和牛顿Raphson方法用于获得螺旋齿轮的非线性行为。许多励磁频率最初导致齿轮对的齿分离和单面冲击,并最终导致正常的齿接触。然而,一些特殊的励磁频率导致整个时间的单面影响。波动扭矩增加使单面冲击在整个时间内,并且阻尼增加降低了单面冲击的持续时间。反弹增加延长了单面冲击的持续时间,也增加了网状力。

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