| 功率二分支齿轮传动系统动载特性与模态分析 |
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| 引用本文： | 林何,孟渔航,李瑞华,屈文宽.功率二分支齿轮传动系统动载特性与模态分析[J].机械与电子,2022,40(3):30-34. |
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| 作者姓名： | 林何 孟渔航 李瑞华 屈文宽 |
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| 作者单位： | 1. 西安工程大学机电工程学院,陕西 西安 710048 ; 2. 西安市现代智能纺织装备重点实验室,陕西 西安 710600 |
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| 基金项目： | 国家自然科学基金资助项目(51805402)；;陕西省自然科学基础研究计划项目(2019JQ-851)； |
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| 摘 要： | 为了分析功率二分支齿轮传动系统的动力学特性,构建由斜齿分扭传动级与人字齿并车传动级构成的分扭 并车纯扭转动力学模型;通过高斯消元去除状态方程中的冗余变量,解决了系统动力学方程的奇异性并采用 4 阶 Runge-Kutta 法数值求解;分析了无量纲时间下不同齿型构成的 2 级传动动载特性,采用模态分析法,确定该系统的固有频率与固有振型,并结合三维瀑布图分析激振频率对系统共振特性的影响。研究结果表明:该齿轮传动系统由人字齿构成的并车传动级动力学特性优于由斜齿构成的分扭传动级;系统啮合位移与动态啮合力响应瀑布图表明,在该系统激振频率为 1820 Hz 时,系统出现超谐波共振。
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| 关 键 词： | 高斯消元 模态分析 固有频率 共振特性 超谐波共振 |
Dynamical Characteristics and Modal Analysis of Power Split Transmission with Two Branches |
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| LIN He,' target="_blank" rel="external"> ,MENG Yuhang,' target="_blank" rel="external"> ,LI Ruihua,' target="_blank" rel="external"> ,QU Wenkuan,' target="_blank" rel="external">.Dynamical Characteristics and Modal Analysis of Power Split Transmission with Two Branches[J].Machinery & Electronics,2022,40(3):30-34. |
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| Authors: | LIN He " target="_blank">' target="_blank" rel="external"> MENG Yuhang " target="_blank">' target="_blank" rel="external"> LI Ruihua " target="_blank">' target="_blank" rel="external"> QU Wenkuan " target="_blank">' target="_blank" rel="external"> |
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| Affiliation: | (1.School of Mechanical and Electrical Engineering , Xi ’ an Polytechnic University , Xi ’ an 710048 , China ;2.Xi ’ an Key Laboratory of Modern?Intelligent? Textile Equipment , Xi ’ an 710600 , China ) |
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| Abstract: | In order to analyze the dynamic characteristics of power two-branch gear transmission system , a pure torsional system dynamic model was constructed , which consisted of the helical gear separate torsional and consisting of double helical gears of Merge torque Transmission.The final numerical convergence of the state equation was achieved by Gaussian elimination , and the singularity of the system dynamics equation was solved by the fourth order Runge-Kutta method. The dynamic load characteristics of the two-stage transmission with different tooth profiles under dimensionless time were analyzed.The natural frequency and vibration mode of the system were determined by using modal analysis method , and the effect of excitation frequency on the resonance characteristics of the system was analyzed by combining 3D waterfall diagram.The results show that : the dynamic characteristics of the combine power gear transmission system consisting of double helical gears are better than that of the split torque transmission system consisting of helical gear.The waterfall diagram of system meshing displacement and dynamic meshing force response shows that super harmonic resonance occurs when the operating harmonic frequency is 1 820 Hz. |
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| Keywords: | Gaussian elimination modal analysis natural frequency resonance characteristics super harmonic resonance |
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