本文關(guān)鍵詞： Duffing振子 雙穩(wěn)態(tài)壓電懸臂梁 混沌振動(dòng)激勵(lì) 阱間跳躍頻率比 俘能　出處：《西南交通大學(xué)》2017年碩士論文　論文類型：學(xué)位論文

【摘要】：環(huán)境能量收集技術(shù)是當(dāng)前熱點(diǎn)的研究課題之一,其中雙穩(wěn)態(tài)壓電懸臂梁振動(dòng)俘能器由于其結(jié)構(gòu)簡(jiǎn)單而備受關(guān)注。但目前關(guān)于混沌振動(dòng)能量的俘獲技術(shù)的研究卻沒有公開報(bào)道。然而,混沌振動(dòng)是介于周期振動(dòng)和隨機(jī)振動(dòng)之間的另外一種特殊振動(dòng)形式。因此,對(duì)安裝在混沌振子上的俘能器進(jìn)行研究和設(shè)計(jì)具有一定的理論和實(shí)際應(yīng)用意義。本文研究了安裝在Duffing振子上的雙穩(wěn)態(tài)壓電懸臂梁俘能器的相關(guān)問題,包括俘能器對(duì)振子混沌運(yùn)動(dòng)的影響,俘能器在混沌振動(dòng)激勵(lì)下的俘能機(jī)理以及Duffing振子雙穩(wěn)態(tài)壓電懸臂梁俘能器的優(yōu)化設(shè)計(jì)等。研究表明,對(duì)于混沌振動(dòng)激勵(lì),廣泛應(yīng)用的平均輸出功率并不能全面地衡量俘能效果,本文從儲(chǔ)能的角度提出阱間跳躍頻率比這一衡量俘能效果的指標(biāo)作為衡量俘能效果的補(bǔ)充。本文具體的研究?jī)?nèi)容和相關(guān)結(jié)論如下:1.運(yùn)用牛頓第二定律建立了 Duffing振子的動(dòng)力學(xué)方程,分析了外界激勵(lì)頻率和幅值變化時(shí)振子的振動(dòng)特性。考慮俘能器懸臂梁的質(zhì)量分布,將其視為歐拉-伯努利梁,將加裝于振子上的懸臂梁俘能器與振子視為一個(gè)兩自由度系統(tǒng),運(yùn)用Language方程建立系統(tǒng)的耦合動(dòng)力學(xué)方程和機(jī)電耦合方程,并進(jìn)一步分析了加裝懸臂梁之后振子的混沌特性。發(fā)現(xiàn)俘能器的加裝并不會(huì)對(duì)振子的混沌振動(dòng)產(chǎn)生影響,將此混沌振動(dòng)作為俘能器的輸入激勵(lì),發(fā)現(xiàn)懸臂梁只會(huì)出現(xiàn)混沌運(yùn)動(dòng),而不會(huì)出現(xiàn)周期運(yùn)動(dòng)。2.對(duì)雙穩(wěn)態(tài)俘能器的俘能機(jī)理進(jìn)行的深入的研究。分析了目前常用的衡量俘能效果指標(biāo)的不足,并從儲(chǔ)能的角度提出了阱間跳躍頻率比這一衡量俘能效果的指標(biāo)。研究表明懸臂梁阱間跳躍頻率比越大,越有利于儲(chǔ)能。3.以全局最大平均輸出功率和阱間跳躍頻率比超過95%為優(yōu)化設(shè)計(jì)目標(biāo),采用蒙特卡羅方法,確定出俘能器磁鐵間距和負(fù)載電阻的最優(yōu)取值組合。所提出的優(yōu)化設(shè)計(jì)方法既能實(shí)現(xiàn)電能的最大化轉(zhuǎn)化,又能最大程度地將該電能儲(chǔ)存。本文的研究為混沌振子雙穩(wěn)態(tài)壓電懸臂梁俘能器的設(shè)計(jì)提供了理論依據(jù)和方法,對(duì)拓寬俘能器的應(yīng)用具有一定的參考價(jià)值。
[Abstract]:Environmental energy collection technology is one of the hot research topics. Among them, bistable piezoelectric cantilever vibration energy capture device has attracted much attention because of its simple structure. However, the research on chaotic vibration energy capture technology has not been reported publicly. Chaotic vibration is another special form of vibration between periodic vibration and random vibration. The research and design of the energy capture installed on the chaotic oscillator has certain theoretical and practical significance. In this paper, the related problems of the bistable piezoelectric cantilever energy capture installed on the Duffing oscillator are studied. . It includes the effect of energy capture on chaotic motion of vibrator, the mechanism of energy capture under chaotic vibration, and the optimization design of Duffing vibrator bistable piezoelectric cantilever beam energy capture. For chaotic vibration excitation, the average output power can not be used to measure the energy capture effect. In this paper, from the perspective of energy storage, the hopping frequency ratio between wells is proposed as a complement to the measurement of capture energy effect. The specific research contents and relevant conclusions are as follows:. 1. The dynamic equations of Duffing oscillator are established by using Newton's second law. The vibration characteristics of the vibrator are analyzed when the external excitation frequency and amplitude change. Considering the mass distribution of the cantilever beam of the energy capture device, it is regarded as an Euler-Bernoulli beam. The cantilever beam energy capture and oscillator are regarded as a two-degree-of-freedom system. The coupling dynamic equations and electromechanical coupling equations of the system are established by using the Language equation. The chaotic characteristics of the vibrator with cantilever beam are further analyzed. It is found that the addition of the energy capture does not affect the chaotic vibration of the vibrator, and the chaotic vibration is regarded as the input excitation of the vibrator. It is found that the cantilever beam will only appear chaotic motion, but not periodic motion. 2. The mechanism of capture energy of bistable energy capture device is studied deeply. The deficiency of the commonly used indexes to measure capture energy effect is analyzed. From the point of view of energy storage, the index of hopping frequency ratio between wells is proposed to measure the energy capture effect. The study shows that the greater the jump frequency ratio between cantilever beams is, the higher the hopping frequency ratio is. The more favorable energy storage. 3. With the global maximum average output power and hopping frequency ratio more than 95% as the optimization design goal, the Monte Carlo method is used. The optimal combination of magnet spacing and load resistance is determined. The proposed optimization design method can realize the maximum conversion of electric energy. The research in this paper provides a theoretical basis and method for the design of a bistable piezoelectric cantilever energy holder for chaotic oscillators, and has a certain reference value for widening the application of the energy capture device.
【學(xué)位授予單位】：西南交通大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TM619

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 崔清雨;謝進(jìn);程杰鋒;孫博文;;一種機(jī)械Duffing動(dòng)力系統(tǒng)的混沌邊緣研究[J];現(xiàn)代制造工程;2016年08期

2 王光慶;楊斌強(qiáng);徐文潭;李蕭均;廖維新;;非線性寬頻壓電振動(dòng)能量采集器的研究[J];儀器儀表學(xué)報(bào);2016年01期

3 藍(lán)春波;秦衛(wèi)陽;;帶碰撞雙穩(wěn)態(tài)壓電俘能系統(tǒng)的俘能特性研究[J];物理學(xué)報(bào);2015年21期

4 藍(lán)春波;秦衛(wèi)陽;李海濤;;隨機(jī)激勵(lì)下雙穩(wěn)態(tài)壓電俘能系統(tǒng)的相干共振及實(shí)驗(yàn)驗(yàn)證[J];物理學(xué)報(bào);2015年08期

5 覃玉祝;謝進(jìn);陳永;陳江瑜;何江波;;混沌振動(dòng)篩機(jī)構(gòu)的研究[J];機(jī)械設(shè)計(jì);2011年07期

6 陳仲生;楊擁民;;懸臂梁壓電振子寬帶低頻振動(dòng)能量俘獲的隨機(jī)共振機(jī)理研究[J];物理學(xué)報(bào);2011年07期

7 司海飛;楊忠;王s，

本文編號(hào)：1454966