發(fā)布時(shí)間：2018-08-23 15:21

【摘要】：環(huán)境中振動(dòng)能量非常普遍,將振動(dòng)能收集轉(zhuǎn)換成電能技術(shù)受到了研究者的廣泛關(guān)注,研究雙穩(wěn)態(tài)發(fā)電系統(tǒng)和非線性吸振器有著很重要的研究意義。本文將雙觀態(tài)電磁式能量捕獲系統(tǒng)作為非線性吸振器,結(jié)合非線性動(dòng)力學(xué)理論和數(shù)值仿真的方法對(duì)基于雙穩(wěn)態(tài)發(fā)電系統(tǒng)的非線性吸振器的復(fù)雜動(dòng)力學(xué)特性進(jìn)行了研究,主要內(nèi)容有:根據(jù)主系統(tǒng)附加雙穩(wěn)態(tài)吸振器系統(tǒng)建立了系統(tǒng)在簡(jiǎn)諧激勵(lì)下動(dòng)力學(xué)方程,利用Routh-Hurwitzz判據(jù)分析系統(tǒng)在平衡點(diǎn)的穩(wěn)定性,并利用數(shù)值仿真研究激勵(lì)頻率和激勵(lì)幅值對(duì)系統(tǒng)的分岔影響情況和結(jié)構(gòu)參數(shù)對(duì)吸振器工作性能的影響,得到了雙穩(wěn)態(tài)吸振器系統(tǒng)王現(xiàn)出兩個(gè)穩(wěn)定平衡點(diǎn)(勢(shì)阱)和一個(gè)不穩(wěn)定平衡點(diǎn)(勢(shì)壘),發(fā)現(xiàn)非線性吸振器在低頻時(shí)便可越過(guò)勢(shì)壘發(fā)生大幅混沌運(yùn)動(dòng),并且頻帶寬利于發(fā)電,改變激勵(lì)幅值,吸振器和主系統(tǒng)可由小幅運(yùn)動(dòng)變成大幅運(yùn)動(dòng)。通過(guò)對(duì)結(jié)構(gòu)參數(shù)的優(yōu)化,主系統(tǒng)發(fā)生共振時(shí)的振幅逐漸降低,非共振時(shí)主系統(tǒng)幅值較低的同時(shí),吸振器的振幅逐漸變大,利于發(fā)電。研究了系統(tǒng)在隨機(jī)激勵(lì)下的動(dòng)力學(xué)特性,借助數(shù)值仿真分析了高斯白噪聲激勵(lì)下和有色噪聲激勵(lì)下噪聲強(qiáng)度、系統(tǒng)初值、系統(tǒng)參數(shù)等對(duì)非線性吸振器減振及發(fā)電的影響規(guī)律,得出當(dāng)噪聲強(qiáng)度很小時(shí),吸振器只在一個(gè)平衡點(diǎn)附近做小幅運(yùn)動(dòng),隨著噪聲強(qiáng)度的增大,開(kāi)始跨過(guò)勢(shì)壘在兩勢(shì)阱之間做大幅混沌運(yùn)動(dòng)且越過(guò)勢(shì)壘的次數(shù)增多,越有利于發(fā)電。通過(guò)各參數(shù)的逐步優(yōu)化,主系統(tǒng)振動(dòng)能量及幅值變小的同時(shí),吸振器的輸出功率增大。將非線性阻尼引入到雙穩(wěn)態(tài)電磁式振動(dòng)能量捕獲器中,提出了考慮非線性阻尼的雙穩(wěn)態(tài)吸振器,借助數(shù)值仿真對(duì)比了考慮非線性阻尼的吸振器和考慮線性阻尼的吸振器對(duì)主系統(tǒng)減振效果,分析了非線性阻尼對(duì)主系統(tǒng)和吸振器的動(dòng)力學(xué)特性、振動(dòng)能量及平均輸出功率的影響,得到結(jié)論考慮非線性阻尼的雙穩(wěn)態(tài)吸振器減振效果更好,不同的非線性阻尼系數(shù)對(duì)主系統(tǒng)和吸振器的振動(dòng)能量均產(chǎn)生了影響。
[Abstract]:Vibration energy is very common in the environment. The technology of converting vibration energy into electric energy has been paid more and more attention by researchers. It is very important to study bistable power generation system and nonlinear vibration absorber. In this paper, the bistatic electromagnetic energy capture system is used as nonlinear vibration absorber, and the complex dynamic characteristics of nonlinear vibration absorber based on bistable power generation system are studied in combination with nonlinear dynamics theory and numerical simulation method. The main contents are as follows: according to the main system with bistable vibration absorber system, the dynamic equation of the system under harmonic excitation is established, and the stability of the system at the equilibrium point is analyzed by using Routh-Hurwitzz criterion. The influence of excitation frequency and amplitude on the bifurcation of the system and the influence of structural parameters on the performance of the vibration absorber are studied by numerical simulation. Two stable equilibrium points (potential well) and one unstable equilibrium point (potential barrier) of bistable vibration absorber system are obtained. It is found that the nonlinear vibration absorber can cross the potential barrier and have a large chaotic motion at low frequency, and the frequency bandwidth is favorable for generating electricity. By changing the amplitude of excitation, the vibration absorber and the main system can change from small motion to large motion. By optimizing the structural parameters, the amplitude of the main system is gradually decreased when resonance occurs, while the amplitude of the main system is lower when it is not resonant, and the amplitude of the absorber increases gradually, which is conducive to generating electricity. The dynamic characteristics of the system under random excitation are studied. The effects of Gao Si white noise excitation and colored noise excitation, system initial values and system parameters on the vibration reduction and generation of nonlinear vibration absorbers are analyzed by numerical simulation. It is concluded that when the noise intensity is very small, the vibration absorber only makes a small motion near the equilibrium point. With the increase of the noise intensity, the chaotic motion between the two potential wells and the number of times of crossing the barrier increases, which is more favorable for power generation. Through the gradual optimization of the parameters, the vibration energy and amplitude of the main system become smaller, and the output power of the absorber increases. The nonlinear damping is introduced into the bistable electromagnetic vibration energy trap, and a bistable vibration absorber considering nonlinear damping is proposed. By means of numerical simulation, the vibration absorbers with nonlinear damping and those with linear damping are compared, and the dynamic characteristics of nonlinear damping to the main system and absorber are analyzed. It is concluded that the bistable vibration absorber with nonlinear damping is more effective, and different nonlinear damping coefficients have an effect on the vibration energy of both the main system and the absorber.
【學(xué)位授予單位】：西安理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：TM619

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本文編號(hào)：2199471