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.     

宽频随机激励下非线性压电能量采集器的相干共振

近年来随着微机电系统的发展,非线性能量采集系统受到了研究者的极大关注.本文采用随机线性化方法对一类环境噪声作用下能量采集系统进行了分析.首先根据受压梁的双稳态特性,建立了等效的随机激励作用下压电能量采集系统的数学模型.采用随机线性化方法获得了输出电压近似闭合形式的表示,并且通过数值分析说明了系统相干共振现象.相干共振的相关研究可应用于优化系统参数使能量采集效果最大化.     

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     

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     

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.     

带碰撞双稳态压电俘能系统的俘能特性研究

双稳态俘能系统的运动常常会陷入单个势能阱中, 导致俘能效率降低. 为了解决这个问题, 本文提出了一类带碰撞的磁斥力双稳态压电振动能量采集系统. 建立了该碰撞双稳态系统的机电耦合方程, 分析了碰撞对双稳态系统动力学特性的影响. 研究了确定性激励和低强度随机激励下碰撞对系统响应特性和俘能效率的影响. 结果表明: 简谐激励下, 碰撞能够使得原双稳态系统的单阱小幅周期运动转变为双阱间的大幅运动, 从而有效地提高输出功率. 得到了低强度随机激励下, 不同碰撞间隙对系统动力响应特性和输出功率的影响规律. 对一个给定的随机激励, 存在一个最优的碰撞间隙, 此时碰撞能够将原双稳态系统单阱内的随机运动转化为频繁的双阱跳跃, 出现大幅值运动, 从而大幅提高了系统的俘能效率.     

非线性磁式压电振动能量采集系统建模与分析

为便于评价、优化磁式压电振动能量采集系统的性能,系统研究了该类系统的建模与分析方法,建立了非线性的分布参数模型用于描述系统的非线性动力学行为,并采用谐波平衡法给出了谐波响应的解析解.随后利用仿真模型分析了磁铁间距、加速度幅值、负载阻抗对输出功率的影响,比较了不同激励频率和加速度幅值下的最优阻抗.结果表明:双稳态特性适用于低强度的振动环境,且愈接近临界区域,输出功率愈高,而单稳态渐硬特性适用于高强度振动环境,其最优间距并不靠近临界区域;阱间大幅运动和阱内小幅运动均存在高低能量态共存的现象,愈接近临界区域,现象愈明显;激振频率是影响最优负载阻抗的决定性因素.     

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     

随机共振控制的频率匹配方法

根据非线性双稳系统在噪声和弱周期信号作用下产生随机共振的随机同步条件，提出了随机共振控制的频率匹配方法.理论分析和数值仿真结果表明，随机共振是可控制的，通过控制输入信号的频率和噪声的统计特性，不仅能拓宽产生随机共振的频率范围，而且能增强共振的强度，从而实现有更多的噪声能量转换为信号能量. 关键词： 随机共振 非线性双稳系统 频率匹配 控制     

多光子非线性Compton散射的能量转换

研究了多光子非线性Compton散射中电子与光子的能量转换及其转换效率.结果表明:散射光子频率随电子吸收光子数n的增大而增大,随碰撞非弹性成分ξ的增大而迅速减小.在超强激光场中,当极端相对论性电子与光子发生多光子非线性Compton散射且被光场俘获时,能量转换效率趋于无限大,即电子可以从超强激光场中获得巨大的加速能量.用高速电子束入射并与光子发生多光子非线性Compton散射,是提高非线性Compton散射能量转换效率的重要途径.     

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.     

Nonlinear dynamics of a bistable piezoelectric-composite energy harvester for broadband application

The continuing need for reduced power requirements for small electronic components, such as wireless sensor networks, has prompted renewed interest in recent years for energy harvesting technologies capable of capturing energy from ambient vibrations. A particular focus has been placed on piezoelectric materials and devices due to the simplicity of the mechanical to electrical energy conversion and their high strain energy densities compared to electrostatic and electromagnetic equivalents. In this paper an arrangement of piezoelectric layers attached to a bistable asymmetric laminate is investigated experimentally to understand the dynamic response of the structure and power generation characteristics. The inherent bistability of the underlying structure is exploited for energy harvesting since a transition from one stable configuration to another, or “snap-through”, is used to repeatedly strain the surface bonded piezoelectric and generate electrical energy. This approach has been shown to exhibit high levels of power extraction over a wide range of vibrational frequencies. Using high speed digital image correlation, a variety of dynamic modes of oscillation are identified in the harvester. The sensitivity of such modes to changes in vibration frequency and amplitude are investigated. Power outputs are measured for repeatable snap-through events of the device and are correlated with the measured modes of oscillation. The typical power generated is approximately 3.2?mW, comparing well with the needs of typical wireless senor node applications.     

Nonlinear dynamics for broadband energy harvesting: Investigation of a bistable piezoelectric inertial generator

Vibration energy harvesting research has largely focused on linear electromechanical devices excited at resonance. Considering that most realistic vibration environments are more accurately described as either stochastic, multi-frequency, time varying, or some combination thereof, narrowband linear systems are fated to be highly inefficient under these conditions. Nonlinear systems, on the other hand, are capable of responding over a broad frequency range; suggesting an intrinsic suitability for efficient performance in realistic vibration environments. Since a number of nonlinear dynamical responses emerge from dissipative systems undergoing a homoclinic saddle-point bifurcation, we validate this concept with a bistable inertial oscillator comprised of permanent magnets and a piezoelectric cantilever beam. The system is analytically modeled, numerically simulated, and experimentally realized to demonstrate enhanced capabilities and new challenges. In addition, a bifurcation parameter within the design is examined as either a fixed or an adaptable tuning mechanism for enhanced sensitivity to ambient excitation.     

Integration of shock absorption and energy harvesting using a hydraulic rectifier

Hydraulic shock absorbers have been widely used to dissipate kinetic energy of the shocks into surrounding environment. By employing oscillatory motion to drive power generator, the shock energy can be converted into electricity for harvesting. However, the frequent bidirectional oscillation of the generator can cause a large impact force. This further leads to deteriorated energy harvesting performance, moving parts fatigue, and even system failure. As such, this study introduces four check values to form a hydraulic rectifier to integrate the shock absorption and energy harvesting functionalities. The bidirectional oscillation of the shock and the vibration is converted into unidirectional rotation to drive the generator. Following the proposed concept, a prototype energy-harvesting shock absorber has been designed and fabricated. An electromechanical model has also been developed to examine the response behavior of the prototype device. The prototype performance has been characterized based on the experimental results from three test setups. Both mechanical and electrical parameters of the electromechanical model have been identified based on our cyclic loading experiments. The results have shown that the developed energy-harvesting shock absorber is capable of harvesting the energy and absorbing the shock simultaneously. In our experiments, a maximum of 248.8 W instantaneous power (a maximum of 114.1 W on average) has been captured and a maximum of 38.81% energy harvesting efficiency has been achieved via harmonic excitation with an amplitude of 8 mm and a frequency of 2 Hz, when the load resistance is tuned to 7.5 Ω.     

Melnikov theoretic methods for characterizing the dynamics of the bistable piezoelectric inertial generator in complex spectral environments

Piezoelectric energy harvesters exploiting strong mechanical nonlinearities exhibit intrinsic suitability for one of several modern challenges in vibratory energy harvesting: consistent kinetic performance in the presence of broadband environmental excitation. In particular, the bistable piezoelectric generator has been prolifically examined. However, most of the relevant literature relies on numerical simulation of specific experimental realizations to demonstrate superior performance. Due to the complexities and lack of analytical solutions for such designs, streamlined methods for parameter optimization,potential well shaping, optimal electromechanical coupling considerations, and other design methodologies are thus inhibited. To facilitate future innovation and research, this paper employs techniques from chaotic dynamical systems theory to provide a simplified analytical framework such that deeper insight into the performance of the bistable piezoelectric inertial generator may be obtained. Specifically, Melnikov theory is investigated to provide metrics for which homoclinic bifurcation may occur in the presence of harmonic, multi-frequency, and broadband excitation. The analysis maintains full consideration of the electromechanical coupling and electrical impedance effects and predicts that for range of dimensionless electrical impedance values, the threshold for chaotic motion and other high-energy solutions is significantly influenced.     

Electrostrictive conversion enhancement of polymer composites using a nonlinear approach

Recent trends in electromechanical conversion demonstrated the advantages of using electrostrictive polymers for actuation or energy harvesting. However, their conversion abilities are lower than usual electroactive materials, such as piezoelectrics. The purpose of this Letter is to propose a solution for artificially increasing the coupling factor of electrostrictive materials. Based on an intermittent switching on an electrical circuit that leads to a voltage increase as well as a reduced phase between voltage and velocity, it is shown that such a process allows increasing the converted energy by 1200% and a gain up to 4 in terms of transferred electrical energy.     

A generic double-curvature piezoelectric shell energy harvester: Linear/nonlinear theory and applications

Converting vibration energy to useful electric energy has attracted much attention in recent years. Based on the electromechanical coupling of piezoelectricity, distributed piezoelectric zero-curvature type (e.g., beams and plates) energy harvesters have been proposed and evaluated. The objective of this study is to develop a generic linear and nonlinear piezoelectric shell energy harvesting theory based on a double-curvature shell. The generic piezoelectric shell energy harvester consists of an elastic double-curvature shell and piezoelectric patches laminated on its surface(s). With a current model in the closed-circuit condition, output voltages and energies across a resistive load are evaluated when the shell is subjected to harmonic excitations. Steady-state voltage and power outputs across the resistive load are calculated at resonance for each shell mode. The piezoelectric shell energy harvesting mechanism can be simplified to shell (e.g., cylindrical, conical, spherical, paraboloidal, etc.) and non-shell (beam, plate, ring, arch, etc.) distributed harvesters using two Lamé parameters and two curvature radii of the selected harvester geometry. To demonstrate the utility and simplification procedures, the generic linear/nonlinear shell energy harvester mechanism is simplified to three specific structures, i.e., a cantilever beam case, a circular ring case and a conical shell case. Results show the versatility of the generic linear/nonlinear shell energy harvesting mechanism and the validity of the simplification procedures.     

Output response identification in a multistable system for piezoelectric energy harvesting

In this paper we examine in detail the multiple responses of a novel vibrational energy harvester composed of a vertical bistable beam whose complex non-linear behavior is tuned via magnetic interaction. The beam was excited horizontally by a harmonic inertial force while mechanical vibrational energy is converted to electrical power through a piezoelectric element. The bistable laminate beam coupled to the piezoelectric transducer showed a variety of complex responses in terms of the beam displacement and harvested power output. The range of vibration patterns in this non-linear system included single-well oscillations and snap-through vibrations of periodic and chaotic character. Harvested power was found to be strongly dependent on the vibration pattern with nonlinearities providing a broadband response for energy harvesting. Wavelet analysis of measured voltage, displacement and velocity time histories indicated the presence of a variety of nonlinear periodic and also chaotic phenomena. To measure the complexity of response time series we applied phase portraits and determine stroboscopic points and multiscale entropy. It is demonstrated that by changing parameters such as the magnetic interaction, the characteristics of the bistable laminate harvester, such as the natural frequency, bandwidth, vibration response and peak power can be readily tailored for harvesting applications.