考虑分子力时机电集成静电谐波传动动力学分析

发布时间：2018-05-13 14:32

本文选题：机电集成 + 静电谐波传动　；参考：《燕山大学》2011年硕士论文

【摘要】：机电集成静电谐波传动是一种集控制、驱动和传动功能于一体的新型广义复合传动,利用柔轮的波动变形实现运动传递和运动转换。随着系统尺寸的减小,分子力的作用越来越明显,整个传动系统的动力学性能将随之改变。本文建立了考虑分子力时机电集成静电谐波传动的机电耦合静力学模型,推导了柔轮径向位移方程和输出扭矩方程,分析了范德华力和开西米尔力对柔轮径向位移和输出扭矩的影响规律。结果表明,范德华力和开西米尔力对柔轮径向位移和输出扭矩的影响在某些条件下不可忽略。利用考虑分子力影响的机电耦合动力学方程,研究了范德华力和开西米尔力对柔轮固有频率和振动模态的影响规律。利用模态叠加法,给出了同时考虑静电力和分子力时机电集成静电谐波微型传动系统在电压扰动下的强迫响应方程。运用该方程,研究了范德华力和开西米尔力对于系统强迫响应的影响规律。结果表明,在某些情况下分子力对柔轮振动模态的影响较为明显,且分子力对于传动系统强迫响应具有重要影响。采用非线性近似解析方法,研究了考虑电场力和范德华力非线性影响时柔轮弱非线性自由振动和受迫振动,给出了非线性振动随着系统相关参数的变化规律。利用Pro/ENGINEER软件,对柔轮进行了三维实体建模,并简化成平面应变模型,利用Pro/MECHANICA软件和ANSYS软件对分子力作用下柔轮的静态位移以及振动频率进行了仿真研究,并和理论分析结果进行了对比,证明了理论分析的正确性。
[Abstract]:Electromechanical integrated electrostatic harmonic transmission is a new type of generalized compound transmission which integrates the control, drive and transmission functions. The flexible wheel is used to transfer and transform the motion by using the fluctuation deformation of the flexible wheel. With the decrease of system size, the effect of molecular force becomes more and more obvious, and the dynamic performance of the whole transmission system will change. In this paper, the electromechanical coupling statics model of electromechanical integrated electrostatic harmonic drive considering molecular force is established, and the radial displacement equation and output torque equation of flexible wheel are derived. The influence of van der Waals force and open-Simil force on radial displacement and output torque of flexible wheel is analyzed. The results show that the influence of van der Waals force and open-Simil force on the radial displacement and output torque of flexible wheel can not be ignored under some conditions. The influence of van der Waals force and Kai Simil force on the natural frequency and vibration mode of flexible wheel is studied by using the electromechanical coupling dynamic equation considering the influence of molecular force. By means of modal superposition method, the forced response equation of electromechanical integrated electrostatic harmonic miniature transmission system under voltage disturbance is given when both electrostatic and molecular forces are considered. The effect of van der Waals force and Kaisimir force on the forced response of the system is studied by using this equation. The results show that the effect of molecular force on the vibration mode of flexible wheel is obvious in some cases, and the molecular force has an important effect on the forced response of transmission system. Using nonlinear approximate analytical method, the weak nonlinear free vibration and forced vibration of flexible wheel under the influence of electric field force and van der Waals force are studied, and the variation law of nonlinear vibration with related parameters of the system is given. The three-dimensional solid model of flexible wheel is built by using Pro/ENGINEER software and simplified into plane strain model. The static displacement and vibration frequency of flexible wheel under molecular force are simulated by Pro/MECHANICA and ANSYS software. Compared with the theoretical analysis results, the correctness of the theoretical analysis is proved.
【学位授予单位】：燕山大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH132.43

【参考文献】