| 基于分段间隙函数的螺旋锥齿轮时变啮合参数分析 |
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| 引用本文： | 刘志峰,郭春华,杨文通,蔡力钢,张志民.基于分段间隙函数的螺旋锥齿轮时变啮合参数分析[J].振动与冲击,2013,32(4):153-157. |
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| 作者姓名： | 刘志峰 郭春华 杨文通 蔡力钢 张志民 |
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| 作者单位： | 北京工业大学 机械工程与应用电子技术学院 北京 100124 |
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| 基金项目： | 国家自然科学基金(51075006);国家科技重大专项(2010ZX04001-041);北京市科委项目(Z111104054111) |
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| 摘 要： | 刚度和阻尼等啮合参数是螺旋锥齿轮非线性振动的主要影响因素。考虑啮合刚度和啮合阻尼的时变性，采用二次谐波形式展开，建立了螺旋锥齿轮副振动平衡方程。基于不同啮合状态下间隙函数的变化，研究了啮合刚度及啮合阻尼在三种啮合状态下对螺旋锥齿轮副啮合特性的影响规律。采用Matlab进行分析，给出了平均啮合阻尼、谐波啮合阻尼、主谐波啮合刚度和次谐波啮合刚度对啮合点振动位移的影响曲线。结果表明增大平均啮合阻尼和降低主谐波啮合刚度会降低振动位移峰值，提高齿轮传动平稳性。
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| 关 键 词： | 螺旋锥齿轮 时变啮合阻尼 时变啮合刚度 间隙函数 振动位移曲线 |
| 收稿时间： | 2011-11-3 |
| 修稿时间： | 2012-3-29 |
Time-varying meshing parameters analysis for spiral bevel gear based on sub-clearance function |
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| LIU Zhi-feng,GUO Chun-hua,YANG Wen-tong,CAI Li-gang,ZHANG Zhi-min.Time-varying meshing parameters analysis for spiral bevel gear based on sub-clearance function[J].Journal of Vibration and Shock,2013,32(4):153-157. |
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| Authors: | LIU Zhi-feng GUO Chun-hua YANG Wen-tong CAI Li-gang ZHANG Zhi-min |
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| Affiliation: | College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing, 100124 |
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| Abstract: | Meshing parameters which include stiffness and damping are key factors of nonlinear vibration for spiral bevel gear. Considering the time-varying characteristics of meshing stiffness and meshing damping, developing as second-order Fourier series, vibration equation of spiral bevel gear was established. Based on the variation of clearance function under different meshing state, the effect of meshing stiffness and meshing damping on spiral bevel gear under three meshing state was studied. Using Matlab to analysis, the vibration displacement curves of meshing point was given when mean meshing damping, harmonic meshing damping, fundamental harmonic meshing stiffness and sub-harmonic meshing stiffness are considered. The results show that increasing mean meshing damping and decreasing fundamental harmonic meshing stiffness could decrease vibration displacement peak and improve transmission stability. |
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| Keywords: | Spiral bevel gear Time-varying damping Time-varying stiffness Clearance function Vibration displacement curves |
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