基于磁化电流法的双稳压电悬臂梁磁力精确分析

双稳压电悬臂梁结构常常用于振动能量采集系统,其中的非线性磁力与系统势函数和动力学方程的建立紧密相关,非线性磁力的正确分析和精确计算对系统振动响应和能量采集效果的准确预测至关重要.本文采用形状函数分析方法,通过悬臂梁弯曲斜率的整体积分计算,得到了悬臂梁末端的运动轨迹及其末端磁铁精确的位置与姿态,并由此根据磁化电流理论建立了双稳压电悬臂梁能量采集系统的磁力计算模型,给出了末端磁铁受到的水平轴向磁力和竖直纵向磁力及其合磁力的变化规律.数值模拟发现,随着末端磁铁竖直纵向位移逐渐增大,磁铁受到的水平轴向磁力和竖直纵向磁力都会依次由排斥力转变为吸引力,从而导致磁力合力的方向会随磁铁位移发生跨越两个象限的大幅度变化.实验验证表明,磁力计算结果与实验测量结果符合良好,其精确度优于现有文献方法的精度,因此本文的方法可以准确预测双稳压电悬臂梁振动过程的磁力变化规律.     

双稳态压电悬臂梁发电系统的动力学建模及分析

针对双稳态压电悬臂梁发电系统进行了动力学建模与分析.首先建立了能引发系统双稳态现象的磁力模型,给出了两磁铁之间磁力的数学表达式;其次建立了压电悬臂梁发电系统的集中参数模型,得到了系统发生双稳态现象时磁铁之间的距离范围;通过数值计算分析了系统的响应特性,发现双稳态运动大大提高了系统的频率响应范围,并且系统在低激励频率和低激励幅值下能发生大幅运动,而激励幅值越大,系统具有越高的能量逃离势阱产生大幅运动;最后通过实验对数值计算结果进行了验证.研究结果为双稳态压电悬臂梁发电系统的设计与应用提供了理论依据.     

悬臂梁压电振子宽带低频振动能量俘获的随机共振机理研究

研究了利用系统非线性来提高悬臂梁压电振子宽带低频振动能量俘获效率的随机共振机理,通过增加一对矩形永磁铁对传统线性悬臂梁压电振子结构进行了改进,结果揭示:在外部非线性磁力作用以及合适的磁铁间距条件下,这种外加磁力悬臂梁压电振子会构成一个双稳系统,在外部宽带低频随机振动源激励下发生随机共振现象,且发生随机共振时的输出电压明显增大,从而可以扩展悬臂梁压电振子的共振频率范围、提高低频振动能量的转化输出. 关键词： 压电悬臂粱 振动能量俘获 宽带低频 随机共振     

采用磁电换能器的振动能量采集器

采用磁致伸缩/压电层合磁电换能器设计了一个振动能量采集器,该能量采集器采用悬臂梁作为振动敏感机构,并用四个NdFeB磁铁组成磁路放在悬臂梁末端.该磁路在空气隙中产生梯度较大的非均匀磁场,使得磁电换能器在较小的振动下感应到较大的磁场变化量,输出较高的功率.利用等效磁荷理论,分析了空气隙磁场分布以及振动时磁路受到的磁力,并用林斯泰特-庞加莱法研究了能量采集器的非线性振动特性,同时将能量采集器的振动方程和换能器的磁电特性结合,分析了能量采集器谐振时的机-磁-电转换特性.通过实验表明：理论与实验符合得较好,且在加 关键词： 振动能量采集 磁致伸缩/压电层合材料 机磁电转换 非线性振动     

双磁铁多稳态悬臂梁磁力及势能函数分析

以永磁铁构成的常规非线性多稳态悬臂梁系统,若要增加稳态数目,通常需引入更多的磁铁,易使系统结构变复杂和参数增多.本文利用矩形磁铁和环形磁铁的作用,提出了一种双磁铁构成的多稳态悬臂梁系统.通过矩形磁铁和环形磁铁之间磁力以及系统势函数的理论分析与实验检验,证明这种双磁铁悬臂梁系统在不同的磁铁尺寸或磁铁间距下,可以具有单稳、双稳、三稳和四稳的非线性特征,为实现由永磁铁构成多稳态悬臂梁系统,提供了有效简化的设计途径.     

单面双极性磁铁空间磁感应强度模型

两个尺寸差异较大的永磁体在同极性相对时,若迫使二者间距减小,磁铁间的相互作用力会由斥力转变为吸引力,大磁铁局部退磁,从而形成单面双极性磁铁.本文基于磁化电流理论,构建了单面双极性磁铁空间磁感应强度的分析模型,该模型能计算表面局部退磁的单面双极性磁铁的空间磁感应强度.以中心局部退磁的圆柱形永磁体为例,探讨了小磁铁尺寸和磁化强度对于该类单面双极性磁铁空间磁场的影响,证明了该单面双极性磁铁可等效为一种可调控局部空间磁场的环形磁铁,因而可为应用环形磁铁的机电系统提供新思路和理论依据.     

窄带随机激励双稳压电悬臂梁响应机制与能量采集研究

具有中心频率的窄带随机振动是一种典型的环境振动,其振动特征与环境的变化密切相关.本文以双稳压电悬臂梁能量采集系统为研究对象,分析系统在不同磁铁间距下的等效线性固有频率特性,以带通滤波器输出一定带宽的窄带随机激励模拟环境振动,研究系统的响应和能量采集特征.研究表明,对于一定带宽的窄带随机激励,一方面系统始终存在一个固定的磁铁间距使其输出达到峰值,另一方面当激励中心频率在一定范围内变化时,系统还分别存在另外两个或一个不同磁铁间距也能使系统输出达到峰值,而且该峰值特性是系统在其等效线性固有频率处诱导双稳或单稳“共振”形成的.研究结果可为具有窄带随机激励特征的振动能量采集提供一定的理论和技术支持.     

用外磁场控制电流感应磁化翻转效应中的临界电流方法

应用基于磁动力学方程的宏观唯象模型,研究了弱外磁场下纳米尺度赝自旋阀结构的电流感应磁化翻转效应.在统一考虑铁磁/非磁界面的自旋相关散射以及铁磁层中的自旋积累和弛豫过程后,给出了赝自旋阀结构在弱外磁场下的磁化翻转条件和临界电流.对该效应的数值计算解释了弱外磁场下赝自旋阀结构的电阻-电流回线的偏移,并给出了用外磁场控制电流感应磁化翻转效应中的临界电流方法. 关键词： 电流感应磁化翻转 外磁场 临界电流 赝自旋阀     

带有分数阶阻尼的压电能量采集系统相干共振

研究了含分数阶阻尼的双稳态能量采集系统的相干共振. 建立了带有分数阶阻尼的轴向受压梁压电能量采集系统动力学模型. 对于分数阶方程, 采用Euler-Maruyama-Leipnik方法进行求解, 计算了不同阻尼阶数下的能量采集系统的信噪比、响应均值、跃迁数目等统计物理量. 结果表明: 此压电能量采集系统在随机激励下可以实现相干共振, 阻尼阶数对相干共振的临界噪声强度和相干共振幅值有很大影响. 关键词： 分数阶阻尼 随机激励 能量采集系统 相干共振     

铁铂纳米线的磁力显微术研究

本研究利用磁力显微术扫描观测了附着在二氧化硅衬底上的铁铂纳米线样品的表面形貌和磁性结构,实现了对铁铂纳米线磁学信息的成像.将磁学信息成像中的明暗分布与纳米线的形貌成像相结合,分析了铁铂纳米线的磁极分布.磁极方向相反的纳米线聚集在一起的现象表明磁化材料总是趋于能量最低的状态.通过改变外加磁场的强度和方向控制铁铂纳米线内部的磁化状态,观测到磁极反转现象.     

Electric power generation using vibration of a polyurea piezoelectric thin film

An energy harvesting system is proposed, in which mechanical energy is converted to electrical energy through the piezoelectric effect of a polymer polyurea film on the device. Electrical energy harvesting methods that use piezoelectric elements have been reported by several groups, and lead zirconate titanate (PZT) is predominantly employed as the piezoelectric material. An energy harvesting device with a polyurea thin film formed through vapor deposition polymerization with 4,4′-diphenylmethane diisocyanete (MDI) and 4,4′-diamino diphenyl ether (ODA). The conversion efficiency from mechanical to electrical energy was calculated using finite elemental analysis (FEA) of the cantilever configuration. Higher conversion efficiency was obtained using a thinner and shorter cantilever configuration with increased resonance frequency of the device. Experiments were conducted using an electric power generation device with a 3 μm thick polyurea thin film attached to a 0.1-mm-thick, 18-mm-long beryllium copper cantilever. Vibration in the vertical direction, which induces the bending vibration on the cantilever, was applied to the device and the output voltage was measured by connecting load resistances. The output power was measured with a change in the load resistance from 10 kΩ to 10 MΩ, and an optimum output was obtained at 1 MΩ, which corresponds to the value calculated using FEA. The conversion efficiency was improved by changing the cantilever length and an efficiency of 0.233% was obtained with a 4-mm-long cantilever.     

Study of broad bandwidth vibrational energy harvesting system with optimum thickness of PET substrate

In this paper, we present the development of a flexible PET-based (polyethylene terephthalate; PET) vibrational energy harvesting system with broad bandwidth. This broad bandwidth harvesting system comprises of four units of individual ZnO (zinc oxide) piezoelectric harvester in the form of a cantilever structure connected in parallel, and rectifying circuit with storage module. This system has ability to convert mechanical energy into electrical energy from the varying ambient vibration. The design and simulation of a piezoelectric cantilever plate was described by using commercial software ANSYS FEA (Finite Element Analysis) to determine the optimum thickness of PET substrate, internal stress distribution, operation frequency and electric potential. With the optimum thickness predicted by developed accurate analytical formula analysis, the one-way mechanical strain that is efficient to enhance the induced electric potential can be controlled within the piezoelectric ZnO layer. In addition, the relationship among the model solution of piezoelectric cantilever plate equation, vibration-induced electric potential and electric power was realized. An individual piezoelectric harvester consists of flexible PET substrate, piezoelectric ZnO thin film with (002) c-axis preferred orientation, and selectively deposited UV-curable resin lump structure which is used to change the resonant frequency of the harvester. In combination with multi-harvesters and rectifying with storage module together, an energy harvesting system with broad bandwidth can be fabricated. One individual harvester achieves a maximum OCV (open-circuit voltage) up to 4 V with power density of 1.247 μW/cm³. So far, we succeeded in accomplishing a broad bandwidth system with operating frequency range within 100 Hz-450 Hz to enhance powering efficiency. When the DC voltage (direct current voltage) across a storage module is charged up to 1.55 V after rectification, a flash LED (light emitting diode) is driven.     

Potential of a piezoelectric energy harvester from sea waves

A sea wave energy harvester from the longitudinal wave motion of water particles is developed. The harvester consisting of a cantilever substrate attached by piezoelectric patches and a proof mass is used to collect electrical energy owing to the electromechanical coupling effect of the piezoelectric patches from the longitudinal wave motion. To describe the energy harvesting process, a mathematical model is developed to calculate the output charge and voltage from the piezoelectric patches according to the Airy linear wave theory and classical elastic beam model. Results show that the mean value of the generated power increases with the increase in the ratio of the width to the thickness of the cantilever, the wave height, the sea depth (which equals to the cantilever height in this study), the ratio of the proof mass to the cantilever mass, and the ratio of the sea depth to the wave length. A value of the power up to 55 W can be realized for a practical sea wave with the values of the sea depth, wave height and wave length to be 3 m, 2 m, and 15 m, respectively. The collected power harvesting with respect to different categories of the sea waves are provided. Our simulations also show the generated electric power can be further increased by an increase in dimensions of the harvester considering the scale effect. This research develops a new technique for energy harvesting from sea waves by piezoelectric energy harvesters.     

横向三角脉冲磁场下悬臂导电薄板的动力稳定性分析

对于在仅有外加横向三角脉冲磁场下的悬臂导电薄板,给出了受到脉冲磁场影响时其动力稳定性的定量分析方法。揭示了在三角脉冲磁场下由于受到涡电流与总磁场相互作用所产生的面内磁体压力的作用,悬臂导电薄板会发生失稳。得到了在不同稳态磁场作用下受到三角脉冲磁场作用时导电薄板的磁弹性动力响应的数值模拟结果。在此基础上,给出了关于稳态磁场值、横向脉冲磁场峰值和脉冲持续时间等参数范围的磁弹性动力稳定性区域。     

A multi-stable energy harvester: Dynamic modeling and bifurcation analysis

A theoretical investigation is conducted on the dynamic and energetic characteristics of a multi-stable bimorph cantilever energy harvester that uses magnetic attraction effect. The multi-stable energy harvester under study is composed of a bimorph cantilever beam with soft magnetic tip and two externally fixed permanent magnets that are arranged in series. With this configuration, the magnetic force and the moment that are exerted on the cantilever tip tend to be highly dependent on the magnetic field induced by the external magnets. Such an energy harvester can possess multi-stable potential functions, ranging from mono-stable to penta-stable. The mechanism that governs the formation of this multi-stability is thoroughly identified and examined thorough a bifurcation analysis performed on the system?s equilibrium solutions. From this analysis, it is found that the transitions between these multi-stable states occur through very complicated bifurcation scenarios that include degenerate pitchfork bifurcations and mergers of pitchfork bifurcations or saddle-node bifurcations. Bifurcation set diagram is obtained, which is composed of five separate parametric regions, from mono- to penta-stability. The resulting stability map satisfactorily describes the multi-stable characteristics of the present energy harvester. In addition, the dynamic and energetic characteristics of the present multi-stable energy harvester are more thoroughly examined using its potential energy diagrams and a series of numerical simulations, and the obtained results are compared with those for the equivalent bi-stable cases.     

Broadband energy harvesting via magnetic coupling between two movable magnets

Harvesting energy from ambient mechanical vibrations by the piezoelectric effect has been proposed for powering microelectromechanical systems and replacing batteries that have a finite life span. A conventional piezoelectric energy harvester （PEH） is usually designed as a linear resonator, and suffers from a narrow operating bandwidth. To achieve broadband energy harvesting, in this paper we introduce a concept and describe the realization of a novel nonlinear PEH. The proposed PEH consists of a primary piezoelectric cantilever beam coupled to an auxiliary piezoelectric cantilever beam through two movable magnets. For predicting the nonlinear response from the proposed PEH, lumped parameter models are established for the two beams. Both simulation and experiment reveal that for the primary beam, the introduction of magnetic coupling can expand the operating bandwidth as well as improve the output voltage. For the auxiliary beam, the magnitude of the output voltage is slightly reduced, but additional output is observed at off-resonance frequencies. Therefore, broadband energy harvesting can be obtained from both the primary beam and the auxiliary beam.     

随机激励下双稳态压电俘能系统的相干共振及实验验证

随着压电晶体材料的迅速发展, 基于压电效应的能量采集系统是俘获环境中的宽带随机振动能量的一种有效途径. 研究了有限宽带随机激励作用下, 磁斥力双稳态压电俘能系统的相干共振俘能机理, 并进行了实验验证. 运用Euler-Maruyama方法求解了随机非线性压电振动耦合方程, 比较分析了相干共振发生前后系统的动力学特性和俘能效率, 然后基于Kramers逃逸速率解释了相干共振. 最后的随机振动实验结果验证了双稳态压电俘能系统的相干共振俘能机理. 并且观察到: 当相干共振发生时, 系统会在两个势能阱之间剧烈运动, 此时宽带随机振动能量会被转化为大幅值窄带低频振动响应, 从而极大地提高了宽带随机振动能量的俘获效率.     

采用Helmholtz共鸣器与悬臂梁压电换能器的声能采集器研究

针对环境中广泛存在的声能,提出了一种采用Helmholtz共鸣器和悬臂梁压电换能器的声能采集器。Helmholtz共鸣器对入射声压进行放大,放大后的声压引起共鸣器弹性薄壁振动,薄壁的振动传递到压电换能器产生电能输出。建立了带弹性壁的立方形共鸣器的等效集中参数理论模型,并与压电换能器的机电特性结合,分析了声能采集器的声-机-电转换原理,研究了声压、声波频率和负载阻抗对输出功率的影响,研究结果为此类声能采集器的优化设计及工程应用提供了一种可行的方法。实验中,声源通过声波导管输出声能,当共鸣器管口处的声压级为94 dB时,系统实测最大输出功率达240μW。该采集器不仅可作为声能自供能采集器,还可在较远距离为低能耗电子装置进行有源声供能。