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。
In order to analyze the dynamic characteristics of power twobranch 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 twostage 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 1820 Hz.
作者
林何
孟渔航
李瑞华
屈文宽
LIN He;MENG Yuhang;LI Ruihua;QU Wenkuan(School of Mechanical and Electrical Engineering,Xi’an Polytechnic University,Xi’an 710048,China;Xi’an Key Laboratory of Modern Intelligent Textile Equipment,Xi’an 710600,China)
出处
《机械与电子》
2022年第3期30-34,共5页
Machinery & Electronics
基金
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)
中国纺织工业联合会科技指导性项目(2020068)。
关键词
高斯消元
模态分析
固有频率
共振特性
超谐波共振
Gaussian elimination
modal analysis
natural frequency
resonance characteristics
super harmonic resonance
