發(fā)布時間：2018-06-05 21:16

  本文選題：并聯(lián)非線性壓電俘能系統(tǒng) + 俘能效果��； 參考：《西南交通大學》2017年碩士論文

【摘要】：振動源無處不在。壓電振動俘能器是當前能量收集的研究熱點之一。雙穩(wěn)態(tài)非線性壓電俘能器雖然克服了線性壓電俘能器存在的問題,但仍存在輸出電流過小,難以高效地為電池等儲能設(shè)備充電的問題。受線性并聯(lián)壓電俘能器設(shè)計的啟發(fā),本文提出一種并聯(lián)非線性壓電俘能系統(tǒng),并進行了研究。在建立了并聯(lián)非線性壓電俘能系統(tǒng)的動力學方程之后,采用數(shù)值計算的方法,對系統(tǒng)的俘能效果進行了研究,得出了一些可使俘能系統(tǒng)獲得較好俘能效果、供設(shè)計時參考的研究結(jié)論。本論文的主要研究工作和結(jié)論如下:1.建立了并聯(lián)非線性壓電俘能系統(tǒng)的物理結(jié)構(gòu)及其動力學模型。該系統(tǒng)的動力學分析模型可由單個雙穩(wěn)態(tài)非線性俘能器方程的耦合疊加得到。對系統(tǒng)的動力學分析模型的數(shù)值仿真結(jié)果表明:當并聯(lián)的懸臂梁中的一個為周期運動,其他的梁也一定是周期運動;而當一個梁為混沌運動,其他的梁要么為混沌運動,要么為擬周期運動。在特定的系統(tǒng)參數(shù)區(qū)域內(nèi),并聯(lián)俘能系統(tǒng)的平均輸出功率為單個俘能器平均輸出功率與并聯(lián)數(shù)的乘積,輸出電流也為單個俘能器輸出電流與并聯(lián)數(shù)的乘積。這就說明并聯(lián)系統(tǒng)具有一定的優(yōu)點。2.研究發(fā)現(xiàn),并聯(lián)非線性壓電俘能系統(tǒng)也會出現(xiàn)"跳頻現(xiàn)象"。當發(fā)生"跳頻現(xiàn)象"的時候,在一個極小的頻率范圍內(nèi),懸臂梁振動先從阱間的周期運動轉(zhuǎn)變?yōu)橼彘g的擬周期或混沌運動中,再從阱間的擬周期或混沌運動轉(zhuǎn)變?yōu)橼鍍?nèi)的多周期運動,然后就穩(wěn)定在阱內(nèi)作周期運動。經(jīng)分析發(fā)現(xiàn),為避免"跳頻現(xiàn)象",系統(tǒng)的參數(shù)至少應使系統(tǒng)處于混沌邊緣的出現(xiàn)混沌的區(qū)域一側(cè),即由Melnikov解確定的混沌區(qū)域。進一步的研究發(fā)現(xiàn),并聯(lián)數(shù)的變化對混沌邊緣的影響不明顯;而等效非線性剛度對混沌邊緣的影響卻比較明顯。3.雙穩(wěn)態(tài)非線性壓電俘能器中存在明顯的、夾雜在兩個混沌運動區(qū)域之間周期運動區(qū)域。該區(qū)域的寬度稱為周期運動寬度。將系統(tǒng)在一段無量綱頻率范圍之內(nèi)能夠保持穩(wěn)定的、沒有或只在極少頻率下俘能效果指標P出現(xiàn)波動的頻率寬度稱為有效工作頻帶寬度。研究表明:系統(tǒng)集總參數(shù)對周期運動寬度、有效工作頻帶寬度有明顯的影響,但并聯(lián)數(shù)對周期運動寬度、有效工作頻帶寬度沒有明顯的影響。只有當集總參數(shù)相同的時候,n并聯(lián)非線性壓電俘能系統(tǒng)的周期運動寬度和有效工作頻帶才不會減小,系統(tǒng)具有較好的俘能效果。
[Abstract]:Vibration sources are everywhere. Piezoelectric vibratory energy capture device is one of the research hotspots in energy collection. Although the bistable nonlinear piezoelectric energy capture device overcomes the problem of linear piezoelectric energy capture device, it still has the problem that the output current is too small and it is difficult to charge energy storage equipment such as battery efficiently. Inspired by the design of linear parallel piezoelectric energy capture, a parallel nonlinear piezoelectric energy capture system is proposed and studied in this paper. After the dynamic equation of the parallel nonlinear piezoelectric energy capture system is established, the energy capture effect of the system is studied by using the numerical calculation method, and some results are obtained that can make the energy capture system obtain better capture energy effect. Conclusions for reference in design. The main work and conclusions of this thesis are as follows: 1. The physical structure and dynamic model of a parallel nonlinear piezoelectric energy capture system are established. The dynamic analysis model of the system can be obtained by the coupled superposition of a single bistable nonlinear energy capture equation. The numerical simulation results of the dynamic analysis model of the system show that when one of the parallel cantilever beams is periodic motion, the other beams must also be periodic motion, while when one beam is chaotic motion, the other beams are either chaotic motion. It is either quasi periodic motion. In a specific system parameter region, the average output power of the parallel energy capture system is the product of the average output power of a single energy capture device and the number of parallel connections, and the output current is also the product of the output current of a single energy capture device and the number of parallel connections. This shows that the parallel system has some advantages. It is found that frequency hopping also occurs in parallel nonlinear piezoelectric energy capture systems. When the "frequency hopping phenomenon" occurs, in a minimal frequency range, the vibration of the cantilever beam changes first from the periodic motion between the wells to the quasi-periodic or chaotic motion between the wells. Then the quasi-periodic or chaotic motion between the wells is transformed into the multi-periodic motion in the well, and then the periodic motion is stabilized in the well. It is found that in order to avoid "frequency hopping phenomenon", the parameters of the system should at least make the system at one side of the chaotic region on the edge of chaos, that is, the chaotic region determined by the Melnikov solution. It is found that the influence of parallel number on chaotic edge is not obvious, but the effect of equivalent nonlinear stiffness on chaotic edge is obvious. The bistable nonlinear piezoelectric energy capture has obvious inclusions in the periodic motion region between two chaotic motion regions. The width of the region is called the width of periodic motion. The effective operating band width is called the frequency width of the system which is stable in a dimensionless frequency range and fluctuates without or only at very few frequencies. The results show that the lumped parameters of the system have a significant effect on the width of the periodic motion and the effective working band, but the number of parallel connections has no obvious effect on the width of the periodic motion and the effective working band. Only when the lumped parameters are the same, the periodic motion width and the effective frequency band of the nonlinear piezoelectric energy capture system in parallel are not reduced, and the system has better energy capture effect.
【學位授予單位】：西南交通大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TM619

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