【摘要】：關(guān)于電路磁路相互耦合的機電系統(tǒng)是大型、復(fù)雜系統(tǒng)的重要組成部分。隨著工業(yè)技術(shù)的迅速發(fā)展,關(guān)于電磁耦合機電系統(tǒng)的研究也越來越受到人們的密切關(guān)注。電路磁路耦合機電系統(tǒng)的動力學(xué)特性直接影響到機械設(shè)備能否正常工作。因此,針對RLC電路與磁路耦合系統(tǒng)的研究具有十分重要的意義,應(yīng)予以足夠的重視。分別以電磁開關(guān)系統(tǒng)和電動式傳感器系統(tǒng)為研究對象,依據(jù)機電系統(tǒng)動力學(xué)核心建模理論中的Lagrange-Maxwell方程,建立了電磁開關(guān)和電動式傳感器系統(tǒng)的動力學(xué)模型,得知其動力學(xué)方程為位移和電流相互耦合的三階非線性振動微分方程。依據(jù)電磁開關(guān)和電動式傳感器系統(tǒng)動力學(xué)非線性振動方程的強弱特性,應(yīng)用相應(yīng)的非線性分析方法進行研究。重點對電磁開關(guān)非線性系統(tǒng)和電動式傳感器非線性系統(tǒng)的主共振、三分之一亞諧共振和主參數(shù)共振這三種共振關(guān)系進行了研究。應(yīng)用諧波平均法和MLP法同時對電磁開關(guān)系統(tǒng)主共振受確定激勵的強非線性動力學(xué)特性進行分析,將結(jié)果進行對比,驗證結(jié)論的正確性,并且利用MLP法求解出電磁開關(guān)系統(tǒng)位移和電流分別隨時間變化的振動規(guī)律。發(fā)現(xiàn)增大電磁鐵與線圈間的摩擦阻力系數(shù)可以減小振幅和共振區(qū)域。增大固定電壓和電磁鐵上線圈激勵電壓可以增大振幅和共振區(qū)域。增大固定電阻和電磁鐵上線圈的能夠減小振幅和共振區(qū)域。研究電磁開關(guān)系統(tǒng)和電動式傳感器系統(tǒng)在有界窄帶激勵下的響應(yīng)問題。分別采用改進的多尺度法和多尺度法求解在有界窄帶激勵下電磁開關(guān)系統(tǒng)和電動式傳感器系統(tǒng)的幅頻響應(yīng)方程及系統(tǒng)穩(wěn)定時的定常解,導(dǎo)出電磁開關(guān)系統(tǒng)和電動式傳感器系統(tǒng)的Ito隨機微分方程,又進一步得到系統(tǒng)二階矩近似表達式。
[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.
【學(xué)位授予單位】：華北理工大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TM564;TP212

【參考文獻】

相關(guān)期刊論文 前10條

1 劉曉文;王習(xí);韓楠楠;趙端;丁恩杰;;磁耦合諧振式無線電能傳輸系統(tǒng)改進[J];河南科技大學(xué)學(xué)報(自然科學(xué)版);2017年01期

2 彭劍;張改;李祿欣;;鉸支柔性梁主參數(shù)共振的時滯反饋控制[J];動力學(xué)與控制學(xué)報;2016年04期

3 黃Pr;余順爭;;非線性RLC電路的新解法及數(shù)值仿真[J];中山大學(xué)學(xué)報(自然科學(xué)版);2016年03期

4 肖冬萍;姜克儒;劉淮通;周強;李松濃;;從工頻磁場數(shù)據(jù)到架空輸電線路三相電流的反演逆推方法[J];中國電機工程學(xué)報;2016年05期

5 李高峰;;黏彈性傳動帶系統(tǒng)1/2次亞諧-主參數(shù)共振分析[J];機械傳動;2015年12期

6 柏興旺;張海鷗;周祥曼;王桂蘭;;外加高頻磁場下電弧快速成形過程的電磁-流體耦合數(shù)值模擬[J];機械工程學(xué)報;2016年04期

7 彭川來;;基于有限增量法的非線性RL電路的研究[J];機電產(chǎn)品開發(fā)與創(chuàng)新;2015年05期

8 劉亞沖;胡安康;韓鳳磊;汪春輝;;基于MLP方法的船舶大幅橫搖近似解析解[J];華南理工大學(xué)學(xué)報(自然科學(xué)版);2015年04期

9 李高峰;;非線性電容RLC串聯(lián)電路的主共振研究[J];計算物理;2014年03期

10 李輝;李巖松;王書浩;龍桂魯;;Characterizing Quantum Correlations in Arbitrary-Dimensional Bipartite Systems Using Hurwitz's Theory[J];Communications in Theoretical Physics;2014年03期

相關(guān)博士學(xué)位論文 前1條

1 何蕊;隨機激勵下結(jié)構(gòu)的非線性檢測方法與特性研究[D];哈爾濱工業(yè)大學(xué);2009年

，

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