A distributed parametric model of Brinson shape memory alloy based resonant frequency tunable cantilevered PZT energy harvester

International Journal of Mechanics and Materials in Design - This paper presents, an analytical model of piezoelectric vibration energy harvester consists of Brinson shape memory alloy (SMA) plate...     

Electromechanical modeling and analytical investigation of nonlinearities in energy harvesting piezoelectric beams

Piezoelectric materials are extensively applied for vibrational energy harvesting especially in micro-scale devices where other energy conversion mechanisms such as electromagnetic and electrostatic methods encounter fabrication limitations. A cantilevered piezoelectric bimorph beam with an attached proof (tip) mass for the sake of resonance frequency reduction is the most common structure in vibrational harvesters. According to the amplitude and frequency of applied excitations and physical parameters of the harvester, the system may be pushed into a nonlinear regime which arises from material or geometric nonlinearities. In this study nonlinear dynamics of a piezoelectric bimorph harvester implementing constitutive relations of nonlinear piezoelectricity together with nonlinear curvature and shortening effect relations, is investigated. To achieve this goal first of all a comprehensive fully-coupled electromechanical nonlinear model is presented through a variational approach. The governing nonlinear partial differential equations of the proposed model are order reduced and solved by means of the perturbation method of multiple scales. Results are presented for a PZT/Silicon/PZT laminated beam as a case study. Findings indicate that material nonlinearities of the PZT layer has the dominant effect leading to softening behavior of the frequency response. At the primary resonance, different frequency responses of the extracted power can be distinguished according to the excitation amplitude, which is due to harmonic generation as a result of piezoelectric nonlinearity. The extracted power is analytically computed and validated with a good agreement by a numerical solution.     

Low-frequency meandering piezoelectric vibration energy harvester

The design, fabrication, and characterization of a novel low-frequency meandering piezoelectric vibration energy harvester is presented. The energy harvester is designed for sensor node applications where the node targets a width-to-length aspect ratio close to 1:1 while simultaneously achieving a low resonant frequency. The measured power output and normalized power density are 118 μW and 5.02 μW/mm(3)/g(2), respectively, when excited by an acceleration magnitude of 0.2 g at 49.7 Hz. The energy harvester consists of a laser-machined meandering PZT bimorph. Two methods, strain-matched electrode (SME) and strain-matched polarization (SMP), are utilized to mitigate the voltage cancellation caused by having both positive and negative strains in the piezoelectric layer during operation at the meander's first resonant frequency. We have performed finite element analysis and experimentally demonstrated a prototype harvester with a footprint of 27 x 23 mm and a height of 6.5 mm including the tip mass. The device achieves a low resonant frequency while maintaining a form factor suitable for sensor node applications. The meandering design enables energy harvesters to harvest energy from vibration sources with frequencies less than 100 Hz within a compact footprint.     

超弹性形状记忆合金的神经网络连续本构模型

对超弹性形状记忆合金(SMA)丝在不同应变幅值和荷载速率下进行加卸载单轴拉伸试验,分析其滞回特性随环境因素的变化规律。将径向基函数神经网络(RBFNN)和Graesser模型结合起来,Graesser模型参数取自试验曲线,能由数学式确定的模型参数和应变幅值、荷载速率一起作为网络的输入信息,不能由数学式确定的模型参数作为输出神经元。数值计算表明,RBFNN可以精确地预测Graesser模型参数,且计算的SMA应力-应变曲线与Graesser模型结果吻合很好。     

形状记忆合金超弹性本构关系的神经网络模型

通过试验，研究了受过循环变形、具有稳定超弹性变形性能的形状记忆合金丝在拉伸到不同应变幅值条件下卸载的超弹性变形行为。根据试验测得的结果，提出了基于神经网络的形状记忆合金超弹性本构关系模型，并把模型计算的结果和实验数据进行了比较分析，结果表明，该模型具有很高的精度。该模型避免了已有模型在参数确定上的困难，具有一定的工程应用价值，为建立形状记忆合金本构模型提供了一个新的思路。     

单悬臂梁阵列式压电能量采集器的研究

根据当前物联网以及无线传感网络的需求,以MEMS技术为依托,结合压电效应,提出了一种单悬臂梁阵列式压电式能量采集器。在分析压电能量采集器结构力学特性的基础上,详细介绍了两种不同尺寸微结构的设计、加工和测试。采用ANSYS软件仿真,得出两种微结构的谐振频率分别为3.9和4kHz;利用溶胶-凝胶法制备出15和20层的PZT压电功能薄膜,电镜扫描其厚度分别为1 849,2 667nm,AFM对比表面形貌其粗糙度分别为1.8和2.11nm,后者致密更好,颗粒较小,相变温度相对比较高。     

Vibration energy harvester with sustainable power based on a single-crystal piezoelectric cantilever array

We designed and fabricated a bimorph cantilever array for sustainable power with an integrated Cu proof mass to obtain additional power and current. We fabricated a cantilever system using single-crystal piezoelectric material and compared the calculations for single and arrayed cantilevers to those obtained experimentally. The vibration energy harvester had resonant frequencies of 60.4 and 63.2 Hz for short and open circuits, respectively. The damping ratio and quality factor of the cantilever device were 0.012 and 41.66, respectively. The resonant frequency at maximum average power was 60.8 Hz. The current and highest average power of the harvester array were found to be 0.728 mA and 1.61 mW, respectively. The sustainable maximum power was obtained after slightly shifting the short-circuit frequency. In order to improve the current and power using an array of cantilevers, we also performed energy conversion experiments.     

基于塑性理论的形状记忆合金本构模型、试验和数值模拟

通过拉伸试验,研究了超弹性形状记忆合金（SMA）丝在不同应变幅值反复加卸载条件下的滞回变形行为。在测得试验数据的基础上,针对目前广泛使用的SMA Graesser＆Cozzarelli模型仅描述了小应变情况下SMA特性,而在大应变下SMA马氏体的硬化特性不能得到描述的问题,提出了修正的SMA本构模型,并把模型拟合结果和实验数据进行了比较分析。结果表明,模型数值拟合结果和试验数据吻合很好,可以很好地描述SMA在不同应变幅值下的应力-应变关系;且模型形式简单,概念明确,参数容易得到,具有一定的工程应用价值。     

An analytical model for the vibration of a composite plate containing an embedded periodic shape memory alloy structure

This paper explores the integration of a periodic repeating arrangement of shape memory alloy (SMAs) within a composite plate, with a view to active control of the vibrations of the plate by means of a controllable activation strategy for the SMA elements. The benefits of this configuration are that ‘antagonistic’ operation of SMAs on the plate allows the significantly longer cooling time constant of previously activated elements to be shortened by means of active elements working against them during that phase. This concept dramatically shortens the cooling time constant and brings it into the same order of magnitude of the heating phase. The paper examines the mathematical modelling of such a plate, and offers an approximate analytical solution by means of a hybrid WKB–Galerkin method. The antagonistic operation of the system is represented mathematically by terms in which the stiffness and damping are both time dependent. Therefore the equation of motion contains terms with time variant coefficients and is impossible to solve without recourse to specialised methods. Comparisons with numerical methods are given and it is shown that good similarity can be obtained for judicious choice of practical values for the time variant stiffness and damping functions.     

TiNi基形状记忆合金的温度记忆效应研究进展

TiNi形状记忆合金经过一次不完全相变循环后将对随后的相变过程产生很大的影响，因此近年来由不完全相变诱发的特殊的温度记忆效应（TemperatureMemory Effect，TME）现象引起人们的关注：如果从马氏体到母相的逆相变在第一次加热过程中在温度瓦处被中断，而后冷却到马氏体相变终了温度以下，在随后的加热过程会出现被一个动力学中断点Ts分开的两阶段逆相变，Ts可“记住”Ti综述了近年来TiNi基形状记忆合佥的TME研究新进展，阐述了具有不同马氏体相变特征的TiNi基记忆合金中TME的特点及其机理。     

TiNi基形状记忆合金的温度记忆效应研究新进展

因为具有形状记忆效应和超弹性,TiNi形状记忆合金已经广泛用做功能材料和生物材料.最近,由不完全相变诱发的特殊的温度记忆效应现象引起关注:如果从马氏体到奥氏体的逆相变在第一次加热中在温度TI处被中断,而后冷却到马氏体相变终了温度以下,在随后的加热过程会出现被一个动力学中断点TS分开的两阶段逆相变,TS可"记住"TI.本文综述了TiNi基形状记忆合金的温度记忆效应及其机制.     

Electromechanical model of periodic cracks in piezoelectric materials

The electro-elastic problem for a periodic array of cracks in a piezoelectric medium subjected to coupled electro-mechanical loads is investigated. The mixed boundary value problem, which is formulated directly in terms of the crack surface displacements and electrical potentials, results in a system of hyper-singular integral equations in which the unknown functions are the crack surface displacement and electric potential. Numerical results include the crack surface displacement and the stress and electric intensity factors for the entire range of possible periodic crack spacing and medium size. The central contribution of this paper is the development of an analytical model that predicts crack-spacing effect. The resulting model is validated by a 2D finite element analysis.     

A physical mechanism based constitutive model for temperature-dependent transformation ratchetting of NiTi shape memory alloy: One-dimensional model

In this paper, the effect of test temperature on the transformation ratchetting of super-elastic NiTi shape memory alloy was first investigated in the cyclic tension-unloading tests. It is shown that all the residual strain, dissipation energy, the start stress of martensite transformation and their evolutions during the cyclic loading depend greatly upon the test temperature. Based on the experimental observations, a new one-dimensional constitutive model is constructed by considering two different inelastic deformation mechanisms (i.e., martensite transformation and transformation-induced plasticity). The proposed model employs a new evolution rule of transformation-induced plasticity which considers the physical mechanism of the plastic deformation, i.e., the dislocation slipping in the austenite phase near the austenite–martensite interfaces. Furthermore, the interaction between dislocation and martensite transformation is also taken into account in the proposed model. The capability of the proposed model to predict the uniaxial temperature-dependent transformation ratchetting of NiTi shape memory alloy is verified by comparing the predictions with the experimental data.     

Toward tunable shape memory effect of NiTi alloy by grain size engineering:A phase field study

The inelastic deformations of shape memory alloys(SMAs)always show poor controllability due to the avalanche-like martensite transformation,and the effective control for the deformation of precision de-vices has been not yet mature.In this work,the phase field method was used to investigate the shape memory effects(SMEs)of NiTi SMAs undergoing grain size(GS)engineering,to obtain tunable one-way and stress-assisted two-way SMEs(OWSME and SATWSME).The OWSME and SATWSME of the systems with various gradient-nanograin structures and bimodal grain structure,as well as that with geometric gradients were simulated.The simulated results indicate that due to the GS dependences of martensite transformation and reorientation,the occurrence and expansion of martensite reorientation,martensite transformation and its reverse can be efficaciously controlled via the GS engineering.When combining the GS engineering and geometric gradient design,since the effects of GS and stress gradient can be su-perimposed or competing,and the responses of martensite reorientation,martensite transformation and its reverse to this are different,the OWSME and SATWSME of the geometrically graded systems with various nanograin structures can exhibit different improvements in controllability.In short,the reorienta-tion hardening modulus during OWSME is increased and the transformation temperature window during SATWSME is widened by GS engineering,indicating the improved controllability of SMEs.The optimal GS engineering schemes revealed in this work provide the basic reference and guidance for designing tun-able SMEs and producing NiTi-based driving devices catering to desired functional performance in various engineering fields.     

Thermodynamic constitutive model for load-biased thermal cycling test of shape memory alloy

This paper presents a three-dimensional calculation model for martensitic phase transformation of shape memory alloy. Constitutive model based on thermodynamic theory was provided. The average behavior was accounted for by considering the volume fraction of each martensitic variant in the material. Evolution of the volume fraction of each variant was determined by a rate-dependent kinetic equation. We assumed that nucleation rate is faster for the self-accommodation than for the stress-induced variants. Three-dimensional finite element analysis was conducted and the results were compared with the experimental data of Ti–44.5Ni–5Cu–0.5 V (at.%) alloy under bias loading.     

Ti-Ni-Gd形状记忆合金的马氏体相变

采用电弧炉制备了添加不同Gd含量的Ti-Ni-Gd三元合金,利用DSC、X射线衍射仪研究了重稀土元素Gd对Ti-50.7Ni合金的马氏体相变的影响.结果表明添加重稀土元素Gd后,Gd含量不超过2%(原子分数)时,淬火态的Ti-Ni-Gd三元合金中分别发生两步马氏体相变,Gd含量为10%(原子分数)时,合金中发生了一步马氏体相变,同时稀土元素Gd的加入能明显提高Ti-Ni合金的相变温度.Ti-Ni-Gd合金中马氏体仍为B19'单斜结构,而且马氏体的点阵参数随Gd的加入发生明显变化,晶胞产生畸变.     

形状记忆合金智能阻尼器的试验研究

利用NiTi合金丝的超弹性特性及电阻应变特性,本文提出了一种具有自感知功能的新型形状记忆合金阻尼器,并通过对阻尼器的构造设计,使安装在其中的NiTi丝始终处于受拉状态,避免了合金丝在结构振动过程中受压屈曲.文中首先测量了两种不同直径NiTi合金丝的超弹性特性及电阻应变特性,得到了其在循环加、卸载作用下的应力-应变、电阻-应变及电阻-应力关系,随后,利用NiTi合金丝的上述特性,提出了一种新型形状记忆合金阻尼器,并将该阻尼器安装在结构模型上进行了地震模拟振动台试验,同时测量了阻尼器中NiTi合金丝在结构振动过程中的变形.研究结果表明,形状记忆合金可以同时作为传感和控制的元件,安装在结构中,有效控制结构在地震激励下的响应,并监测结构构件变形,为结构震后安全评定提供可靠依据.     

TiNiCu形状记忆合金双向记忆效应研究

研究了热机械训练温度及定型处理温度对TiNiCu形状记忆合金弹簧双向记忆效应的影响。研究结果表明:在纯马氏体状态进行训练时,双向记忆恢复率随训练次数的增加而增加,并在一定的训练次数后达到饱和;在纯奥氏体状态进行训练,双向记忆恢复率随训练次数迅速增加到某一最大值后随训练次数的增加而减小;在马氏体和奥氏体混合相进行训练时,双向记忆恢复率随训练次数先增加而后减小。经过400～550℃×1h/AC定型处理及热机械训练后最大形状记忆恢复率随定型处理温度升高先增大然后减小。由于马氏体再取向时引入的位错有利于双向记忆效应,热诱发和应力诱发的马氏体变体数量不同,引起了在不同状态训练诱发的双向记忆效应随训练次数变化的差异。