电路磁路耦合机电系统非线性动力学研究
发布时间：2018-10-20 11:50
【摘要】：关于电路磁路相互耦合的机电系统是大型、复杂系统的重要组成部分。随着工业技术的迅速发展,关于电磁耦合机电系统的研究也越来越受到人们的密切关注。电路磁路耦合机电系统的动力学特性直接影响到机械设备能否正常工作。因此,针对RLC电路与磁路耦合系统的研究具有十分重要的意义,应予以足够的重视。分别以电磁开关系统和电动式传感器系统为研究对象,依据机电系统动力学核心建模理论中的Lagrange-Maxwell方程,建立了电磁开关和电动式传感器系统的动力学模型,得知其动力学方程为位移和电流相互耦合的三阶非线性振动微分方程。依据电磁开关和电动式传感器系统动力学非线性振动方程的强弱特性,应用相应的非线性分析方法进行研究。重点对电磁开关非线性系统和电动式传感器非线性系统的主共振、三分之一亚谐共振和主参数共振这三种共振关系进行了研究。应用谐波平均法和MLP法同时对电磁开关系统主共振受确定激励的强非线性动力学特性进行分析,将结果进行对比,验证结论的正确性,并且利用MLP法求解出电磁开关系统位移和电流分别随时间变化的振动规律。发现增大电磁铁与线圈间的摩擦阻力系数可以减小振幅和共振区域。增大固定电压和电磁铁上线圈激励电压可以增大振幅和共振区域。增大固定电阻和电磁铁上线圈的能够减小振幅和共振区域。研究电磁开关系统和电动式传感器系统在有界窄带激励下的响应问题。分别采用改进的多尺度法和多尺度法求解在有界窄带激励下电磁开关系统和电动式传感器系统的幅频响应方程及系统稳定时的定常解,导出电磁开关系统和电动式传感器系统的Ito随机微分方程,又进一步得到系统二阶矩近似表达式。
[Abstract]:The electromechanical system of circuit magnetic circuit coupling is an important part of large and complex system. With the rapid development of industrial technology, more and more people pay close attention to electromagnetic coupling electromechanical system. The dynamic characteristics of the circuit-magnetic coupling electromechanical system directly affect whether the mechanical equipment can work normally. Therefore, it is very important to study the coupling system of RLC circuit and magnetic circuit, which should be paid more attention to. Taking the electromagnetic switch system and the electric sensor system as the research objects, according to the Lagrange-Maxwell equation in the core modeling theory of the electromechanical system dynamics, the dynamic models of the electromagnetic switch and the electric sensor system are established. It is found that the dynamic equation is a third order nonlinear vibration differential equation with the coupling of displacement and current. According to the strong and weak characteristics of dynamic nonlinear vibration equation of electromagnetic switch and electric sensor system, the corresponding nonlinear analysis method is applied. The main resonance, 1/3 subharmonic resonance and main parameter resonance of the electromagnetic switch nonlinear system and the electro-sensor nonlinear system are studied. The harmonic averaging method and MLP method are used to analyze the strong nonlinear dynamic characteristics of the main resonance of the electromagnetic switch system under determined excitation simultaneously. The results are compared to verify the correctness of the conclusion. The MLP method is used to solve the vibration law of electromagnetic switch system displacement and current changing with time respectively. It is found that the amplitude and resonance region can be reduced by increasing the friction resistance coefficient between the electromagnet and the coil. The amplitude and resonance region can be increased by increasing the fixed voltage and the excitation voltage of the coil on the electromagnet. The amplitude and resonance region can be reduced by increasing the fixed resistance and the upper coil of the electromagnet. The response of the electromagnetic switch system and the electric sensor system under the bounded narrow band excitation is studied. The amplitude-frequency response equations of electromagnetic switching system and electromechanical sensor system under bounded narrowband excitation and the steady solution of the system are solved by the improved multi-scale method and the multi-scale method, respectively. The Ito stochastic differential equations of the electromagnetic switch system and the electromechanical sensor system are derived, and the approximate expressions of the second moment of the system are obtained.
【学位授予单位】：华北理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TM564;TP212
本文编号：2283089
[Abstract]:The electromechanical system of circuit magnetic circuit coupling is an important part of large and complex system. With the rapid development of industrial technology, more and more people pay close attention to electromagnetic coupling electromechanical system. The dynamic characteristics of the circuit-magnetic coupling electromechanical system directly affect whether the mechanical equipment can work normally. Therefore, it is very important to study the coupling system of RLC circuit and magnetic circuit, which should be paid more attention to. Taking the electromagnetic switch system and the electric sensor system as the research objects, according to the Lagrange-Maxwell equation in the core modeling theory of the electromechanical system dynamics, the dynamic models of the electromagnetic switch and the electric sensor system are established. It is found that the dynamic equation is a third order nonlinear vibration differential equation with the coupling of displacement and current. According to the strong and weak characteristics of dynamic nonlinear vibration equation of electromagnetic switch and electric sensor system, the corresponding nonlinear analysis method is applied. The main resonance, 1/3 subharmonic resonance and main parameter resonance of the electromagnetic switch nonlinear system and the electro-sensor nonlinear system are studied. The harmonic averaging method and MLP method are used to analyze the strong nonlinear dynamic characteristics of the main resonance of the electromagnetic switch system under determined excitation simultaneously. The results are compared to verify the correctness of the conclusion. The MLP method is used to solve the vibration law of electromagnetic switch system displacement and current changing with time respectively. It is found that the amplitude and resonance region can be reduced by increasing the friction resistance coefficient between the electromagnet and the coil. The amplitude and resonance region can be increased by increasing the fixed voltage and the excitation voltage of the coil on the electromagnet. The amplitude and resonance region can be reduced by increasing the fixed resistance and the upper coil of the electromagnet. The response of the electromagnetic switch system and the electric sensor system under the bounded narrow band excitation is studied. The amplitude-frequency response equations of electromagnetic switching system and electromechanical sensor system under bounded narrowband excitation and the steady solution of the system are solved by the improved multi-scale method and the multi-scale method, respectively. The Ito stochastic differential equations of the electromagnetic switch system and the electromechanical sensor system are derived, and the approximate expressions of the second moment of the system are obtained.
【学位授予单位】：华北理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TM564;TP212
【参考文献】
相关期刊论文 前10条
1 刘晓文;王习;韩楠楠;赵端;丁恩杰;;磁耦合谐振式无线电能传输系统改进[J];河南科技大学学报(自然科学版);2017年01期
2 彭剑;张改;李禄欣;;铰支柔性梁主参数共振的时滞反馈控制[J];动力学与控制学报;2016年04期
3 黄Pr;余顺争;;非线性RLC电路的新解法及数值仿真[J];中山大学学报(自然科学版);2016年03期
4 肖冬萍;姜克儒;刘淮通;周强;李松浓;;从工频磁场数据到架空输电线路三相电流的反演逆推方法[J];中国电机工程学报;2016年05期
5 李高峰;;黏弹性传动带系统1/2次亚谐-主参数共振分析[J];机械传动;2015年12期
6 柏兴旺;张海鸥;周祥曼;王桂兰;;外加高频磁场下电弧快速成形过程的电磁-流体耦合数值模拟[J];机械工程学报;2016年04期
7 彭川来;;基于有限增量法的非线性RL电路的研究[J];机电产品开发与创新;2015年05期
8 刘亚冲;胡安康;韩凤磊;汪春辉;;基于MLP方法的船舶大幅横摇近似解析解[J];华南理工大学学报(自然科学版);2015年04期
9 李高峰;;非线性电容RLC串联电路的主共振研究[J];计算物理;2014年03期
10 李辉;李岩松;王书浩;龙桂鲁;;Characterizing Quantum Correlations in Arbitrary-Dimensional Bipartite Systems Using Hurwitz's Theory[J];Communications in Theoretical Physics;2014年03期
相关博士学位论文 前1条
1 何蕊;随机激励下结构的非线性检测方法与特性研究[D];哈尔滨工业大学;2009年
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