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Effects of low cycle fatigue and inelastic buckling on the superelasticity and energy dissipation capacity of NiTi SMA rebar. 低周疲劳和非弹性屈曲对NiTi SMA钢筋超弹性和耗能能力的影响。
IF 2.4 3区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-06-18 eCollection Date: 2025-07-01 DOI: 10.1177/1045389X251342698
Ali Mohammadgholipour, Ahm Muntasir Billah

Superelastic NiTi Shape Memory Alloy (SMA) rebars have emerged as compelling materials for structural engineering applications in concrete bridge piers, owing to their superior superelastic and energy dissipation properties. Incorporating NiTi SMA rebars enhances structural resilience against seismic loads by enabling effective earthquake energy dissipation while minimizing structural damage. However, under tension-compression cyclic loads, NiTi SMA rebars are subjected to strain reversals, leading to buckling and potential low cycle fatigue (LCF) failure. This study investigates the LCF behavior of NiTi SMA rebars under tension-compression cyclic loading, considering various strengths, diameters, and slenderness ratios (L/D). The findings indicate that NiTi SMA rebars with higher slenderness ratios experience accelerated LCF failure due to buckling, leading to deteriorated mechanical properties after fewer cycles compared to rebars with lower slenderness ratios. Moreover, the study reveals that total energy dissipation and residual strain of NiTi SMA rebars are influenced by strain amplitudes and slenderness ratios. Specifically, increasing the slenderness ratio and strain amplitude results in decreased total energy dissipation and increased residual strain, underscoring the significant impact of inelastic buckling on the LCF behavior of NiTi SMA rebars. Finally, equations are presented for the prediction of energy dissipation and residual strain of NiTi SMA rebars with different slenderness ratios under tension compression cyclic loading with different strain amplitudes.

超弹性NiTi形状记忆合金(SMA)钢筋由于其优异的超弹性和能量耗散性能,已成为混凝土桥墩结构工程应用的引人注目的材料。结合NiTi SMA钢筋可以有效地耗散地震能量,同时最大限度地减少结构损伤,从而增强结构抗地震荷载的弹性。然而,在拉压缩循环载荷下,NiTi SMA钢筋会发生应变逆转,导致屈曲和潜在的低周疲劳(LCF)失效。考虑不同强度、直径和长细比(L/D),研究了NiTi SMA钢筋在拉压循环加载下的LCF行为。研究结果表明,与长细比较低的螺纹钢相比,长细比较高的NiTi SMA螺纹钢由于屈曲而加速了LCF破坏,导致其机械性能在较少的循环次数后恶化。此外,研究表明,应变幅值和长细比对NiTi SMA钢筋的总能量耗散和残余应变有影响。具体而言,增加长细比和应变幅值会降低总能量耗散,增加残余应变,强调非弹性屈曲对NiTi SMA钢筋LCF行为的显著影响。最后,建立了不同长细比的NiTi SMA钢筋在不同应变幅值的拉压缩循环加载下的能量耗散和残余应变预测方程。
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引用次数: 0
Experimental study of centrifugal pumping of magnetorheological fluid. 磁流变液离心泵送实验研究。
IF 2.4 3区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-06-14 eCollection Date: 2025-07-01 DOI: 10.1177/1045389X251344476
Tim Dumais, Jean-Sébastien Plante, David Rancourt

This paper studies the potential of using a centrifugal pump to handle magnetorheological fluid with the ultimate goal of integrating such a pump directly into a magnetorheological clutch to increase MR actuator life and stabilize performance over time. A centrifugal pump design is proposed, and two prototype sizes are constructed. Experimental characterization of the pumps prototypes reveals that, even with a magnetorheological fluid containing 40% V/V of ferromagnetic microparticles, the standard scaling laws for centrifugal pumps provide accurate predictions of performance with changes in rotation speed. However, the results showed that these laws do not fully account for geometric effects when scaling the pump size due to differences in impeller performance. The results also show that a centrifugal pump of 46 mm in diameter can effectively circulate magnetorheological fluid at a flow rate of 90 mL/min per shear interface in a commercial MR clutch.

本文研究了使用离心泵处理磁流变流体的潜力,最终目标是将这种泵直接集成到磁流变离合器中,以增加磁流变致动器的寿命并随着时间的推移稳定性能。提出了一种离心泵的设计方案,并建立了两种样机尺寸。泵原型的实验表征表明,即使在含有40% V/V铁磁微粒的磁流变流体中,离心泵的标准标度定律也能准确预测转速变化的性能。然而,结果表明,这些规律并不能完全考虑由于叶轮性能差异而缩放泵尺寸时的几何效应。结果还表明,直径为46 mm的离心泵可以有效地循环磁流变液,每个剪切界面的流量为90 mL/min。
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引用次数: 0
Simultaneous position and force control of a SMA-actuated continuum robotic module 同时控制 SMA 驱动的连续机器人模块的位置和力
IF 2.7 3区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-09-14 DOI: 10.1177/1045389x241272965
Alireza Hadi, Hourieh Shamshirgaran, Bahram Tarvirdizadeh, Khalil Alipour
Continuum manipulators with controllable shape and exerting force are attractive devices. Utilizing great features of shape memory alloys (SMAs), thin continuum modules are developed. SMAs are embedded around an elastic rod and activated through a control algorithm to set a desired shape. However, complex behavior of SMAs in such a multi-input multi-output system, make the control challenging. Additionally, simultaneous control of position and the force applied by the module, as a challenging problem, has not been investigated so far. Handling this problem may increase the application of continuum robots when utilized as manipulators or when pass through narrow and complex canals with sensitive wall. In this research, position and force control of such continuum module is under focus for achieving a more practical tool for better non-invasive medical devices. Further to the position control, the amount of force applied to the environment is adjusted in different locations of the workspace through a novel fuzzy controller. The results indicate the possibility of simultaneous control of the position and force using fuzzy controller with a reasonable accuracy of 0.5° for angle and 0.05 N for the force. The concluded results may be utilized in developing smarter soft robots.
形状和施力可控的连续机械手是一种极具吸引力的设备。利用形状记忆合金(SMA)的优异特性,我们开发出了薄型连续模块。SMA 被嵌入弹性杆周围,并通过控制算法激活,以设定所需的形状。然而,在这种多输入多输出系统中,SMA 的复杂行为使得控制具有挑战性。此外,同时控制位置和模块施加的力也是一个具有挑战性的问题,但迄今为止尚未进行过研究。在将连续机器人用作机械手或通过具有敏感墙壁的狭窄而复杂的运河时,处理这一问题可能会增加连续机器人的应用。在这项研究中,重点是对这种连续模块进行位置和力控制,以便为更好的无创医疗设备提供更实用的工具。除位置控制外,还通过新型模糊控制器调整工作空间不同位置的环境受力。结果表明,使用模糊控制器可以同时控制位置和力,角度控制精度为 0.5°,力控制精度为 0.05 N。得出的结果可用于开发更智能的软体机器人。
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引用次数: 0
A modified parametric model to predict visco-elastic properties of magneto-rheological elastomers at non-LVE region 预测磁流变弹性体在非 LVE 区域粘弹特性的修正参数模型
IF 2.7 3区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-09-14 DOI: 10.1177/1045389x241272994
Dipal Patel, Ramesh V Upadhyay, Saiful Amri Mazlan, SB Choi
The magneto-rheological elastomer is mostly used in vibration isolation, for which higher modulus and lower Payne effect factors are crucial parameters. Strain amplitudes and frequencies influence many applications under dynamic modes. In this work, the dynamic viscoelastic properties of MRE, fabricated using electrolyte iron (EI) particles, were measured for varying strain amplitude, magnetic field and frequency. A fractional Kelvin-Voigt (KV) model is used in a frequency region from 0.01 to 40 Hz to predict the rheological behaviour. However, the available models failed to explain the observed behaviour at low frequencies and high magnetic fields and increasing strain amplitude (i.e. in the non-viscoelastic region). Therefore, a new modified KV model is proposed in this work to incorporate the drawbacks and hence can validate for varying frequency, magnetic field and strain amplitudes. The added terms can also be used in the fractional derivative Maxwell model to explain the effect of strain amplitude and magnetic field at various frequencies. The proposed model significantly improves the quality of experimental prediction in the low-frequency range, corresponding to a slow dissipative process at different strain amplitudes.
磁流变弹性体主要用于隔振,其较高的模量和较低的佩恩效应系数是关键参数。在动态模式下,应变幅度和频率会影响许多应用。在这项工作中,测量了使用电解质铁(EI)颗粒制造的磁弹性体在不同应变振幅、磁场和频率下的动态粘弹特性。在 0.01 至 40 Hz 的频率范围内,使用分数开尔文-伏依格特(KV)模型来预测流变行为。然而,现有模型无法解释在低频、高磁场和应变振幅增大时(即在非粘弹性区域)观察到的行为。因此,本研究提出了一个新的修正 KV 模型,将这些缺点纳入其中,从而可以对不同频率、磁场和应变幅值进行验证。新增项还可用于分数导数麦克斯韦模型,以解释不同频率下应变幅值和磁场的影响。所提出的模型大大提高了低频范围内的实验预测质量,这与不同应变幅值下的缓慢耗散过程相对应。
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引用次数: 0
A facile method to fabricate auxetic polymer foams 制造助熔聚合物泡沫的简便方法
IF 2.7 3区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-09-10 DOI: 10.1177/1045389x241264849
Javad Sharifi Dowlatabadi, Reza Jafari Nedoushan, Abdulreza Kabiri Ataabadi, Mahmood Farzin, Woong-Ryeol Yu
This paper presents a new efficient method for manufacturing auxetic foams, a subcategory of metamaterials with intriguing mechanical properties. Unlike previous methods that require two steps involving heating or the use of a chemical solvent, the present method involves compressing the foam during the manufacturing process after cells have been formed in the die, but while the material remains soft. This one-step process is more time-efficient, energy-efficient, and flexible; it also requires fewer facilities and materials. After the manufacturing process, various mechanical properties of the auxetic foams were evaluated by compression tests (energy absorption, mean force, and maximum force) and indentation tests (stiffness, absorbed energy, and hysteresis energy). The results confirmed that the auxetic foams exhibited superior behavior compared with conventional foam at the same density. To further investigate the foam microstructures and deformation mechanisms, in situ compression tests were conducted; the macro behaviors of the foams were explained based on these observations. Overall, this paper presents a promising approach for the manufacturing of auxetic foams with improved mechanical properties that can be used in applications typically dominated by conventional foams.
本文介绍了一种高效制造辅助泡沫材料的新方法,这种材料是超材料的一个子类别,具有引人入胜的机械特性。与以往需要加热或使用化学溶剂两个步骤的方法不同,本方法是在模具中形成细胞后,在制造过程中压缩泡沫,但材料仍然是软的。这种一步法更省时、更节能、更灵活,所需的设备和材料也更少。制造过程结束后,通过压缩试验(能量吸收、平均力和最大力)和压痕试验(刚度、吸收能量和滞后能量)评估了助剂泡沫的各种机械性能。结果证实,在密度相同的情况下,与传统泡沫相比,赋形泡沫表现出更优越的性能。为了进一步研究泡沫的微观结构和变形机制,还进行了原位压缩试验;根据这些观察结果解释了泡沫的宏观行为。总之,本文提出了一种制造具有更佳机械性能的辅助泡沫的可行方法,可用于通常由传统泡沫主导的应用领域。
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引用次数: 0
A low-frequency multidirectional piezoelectric vibration energy harvester using a universal joint structure 使用万向节结构的低频多向压电振动能量收集器
IF 2.7 3区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-08-30 DOI: 10.1177/1045389x241273065
Junwu Kan, Silei Wu, Yazhi Lin, Zhenli Kuang, Wenchao Wu, Zhenxin Cao, Zhonghua Zhang
Vibration energy harvesting using piezoelectric mechanism has attracted much attention for powering wireless sensors over the last decade. This paper proposes a low-frequency multidirectional piezoelectric vibration energy harvester (LM-PVEH) using a universal joint structure. Unlike conventional PVEHs, LM-PVEH utilized a pendulum instead of a proof mass in a typical piezoelectric beam and employed a universal joint to indirectly pluck the piezoelectric beam, ensuring the beam was only subjected to compressive stress. With the multidirectional rotation characteristic of the universal joint, the harvester efficiently scavenged multidirectional energy. To verify the feasibility of principle and investigate the effect of structural parameters on the power generation performance of LM-PVEH, theoretical analysis and experimental test were conducted. The results demonstrated that LM-PVEH exhibited different power-generating characteristics in various vibration directions. The resonant frequency of LM-PVEH could be efficiently tuned by adjusting proof mass and mass distance to accommodate low-frequency environments. The proposed harvester achieved a maximum power of 4.99 mW with the load resistance of 300 kΩ at 7.3 Hz. The LM-PVEH could power 100 LEDs, a temperature sensor, and a transmitting module. Additionally, the successful demonstration of powering a calculator from human motion highlights the practical application of the proposed harvester.
近十年来,利用压电机制采集振动能量为无线传感器供电已引起广泛关注。本文提出了一种使用万向节结构的低频多向压电振动能量收集器(LM-PVEH)。与传统的压电振动能量收集器不同,LM-PVEH 利用摆锤代替了典型压电横梁中的校准质量,并采用万向节间接拨动压电横梁,确保横梁只承受压应力。利用万向节的多向旋转特性,收割机可以有效地回收多向能量。为了验证原理的可行性,并研究结构参数对 LM-PVEH 发电性能的影响,研究人员进行了理论分析和实验测试。结果表明,LM-PVEH 在不同振动方向上表现出不同的发电特性。LM-PVEH 的共振频率可通过调整验证质量和质量距离进行有效调整,以适应低频环境。在 7.3 Hz 频率下,负载电阻为 300 kΩ 时,所提出的收割机可获得 4.99 mW 的最大功率。LM-PVEH 可为 100 个 LED、一个温度传感器和一个发射模块供电。此外,利用人体运动为计算器供电的成功演示凸显了所建议的采集器的实际应用。
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引用次数: 0
Development of a fail-safe magnetorheological fluid device using electro and permanent magnets 利用电子和永久磁铁开发故障安全磁流变流体装置
IF 2.7 3区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-08-30 DOI: 10.1177/1045389x241272927
Takehito Kikuchi, Rihiro Fukuyama, Isao Abe
An important design strategy in the safety of any mechanical system is the “fail-safe” concept, which is used to prevent inevitable mistakes from resulting in accidents. For a failsafe design, the proper combination or selection of both normally open and closed devices is important. However, most conventional Magnetorheological fluid (MRF) devices are normally open, and their output force/torque disappears in the off state of the current input. Therefore, the development of a normally closed MRF device (NC-MRD) may contribute to a fail-safe mechatronics system. In this study, we analytically and experimentally investigated the effects of separated axial magnetized permanent magnets (PM) on normally closed and rotary-type MRF devices. We used two types of separated axial PM as magnetization resources in the off state of the electric magnet (EM). The distributions of the magnetic flux densities in the off and balanced states were evaluated as representative values of the NC-MRD. As a real testbed, we designed and developed the NC-MRD using three commercially available sectional axial neodymium magnets. The experimental results showed that the device generated a braking torque in the off state of the EM. With a positive input current of approximately 200 mA, the torque was almost balanced, and the minimum torque was less than 0.1 Nm, which was less than 2% of the maximum torque.
任何机械系统安全的一个重要设计策略就是 "故障安全 "概念,用来防止不可避免的错误导致事故。对于故障安全设计而言,正确组合或选择常开和常闭装置非常重要。然而,大多数传统的磁流变(MRF)装置都是常开的,其输出力/扭矩在电流输入的关闭状态下会消失。因此,开发一种常闭磁流变流体设备(NC-MRD)可能有助于实现故障安全的机电一体化系统。在本研究中,我们通过分析和实验研究了分离式轴向磁化永磁体(PM)对常闭型和旋转型 MRF 设备的影响。我们使用了两种类型的分离式轴向永磁体作为电磁体(EM)关断状态下的磁化资源。关闭和平衡状态下的磁通密度分布被评估为 NC-MRD 的代表值。作为实际测试平台,我们使用三块市场上可买到的截面轴向钕磁铁设计并开发了 NC-MRD。实验结果表明,该装置在电磁关闭状态下会产生制动扭矩。在大约 200 mA 的正输入电流下,扭矩几乎是平衡的,最小扭矩小于 0.1 Nm,不到最大扭矩的 2%。
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引用次数: 0
Monitoring sedimentation of magnetorheological fluids using an infrared night vision wide-angle lens visual monitoring system with dynamic calibration method 利用带动态校准方法的红外夜视广角镜头视觉监测系统监测磁流变液的沉积情况
IF 2.7 3区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-08-30 DOI: 10.1177/1045389x241271940
Shiwei Chen, Jie Yang, Pan Jiang, Yang He, Honghui Zhang
Magnetorheological fluids (MRFs) have demonstrated remarkable potential in engineering vibration damping. Nonetheless, the substantial density difference between the dispersed phase and the dispersing medium causes inevitable sedimentation in MRFs, significantly affecting the material’s service life and restricting its engineering applications. Monitoring technology for MRF sedimentation plays a crucial role in comprehending sedimentation behavior and holds significant importance for the subsequent redispersion of MRFs. Consequently, the monitoring technology for MRFs has been gaining increasing attention in recent times. This study proposes a machine vision-based real-time and in situ monitoring method to test and evaluate the suspension stability of MRFs. Firstly, an infrared wide-angle night vision lens (IWNVL) is fixed at the side of a MRF column for capturing the sequential MRF images during its sediment process. Then, the gray values (GVs) could be obtained by utilizing Gaussian filtering and morphological filtering. Secondly, by combining the Kynch sedimentation theory and Lambert-Beer composite material optical transmission theory, an analytic model is established in this works to find the relationship between the MRFs’ concentration gradient to its GVs. In what follows, the concentration distribution varied with time could be tested by the GVs of the sequential MRF images. Finally, a sentimental experiment for prepared MRF column is carried out in this works, and the testing results are verified and discussed by a capacitance sensor and a simple visual observation. The experimental results demonstrate that the proposed method could accurately measure the concentration distribution during MRFs’ sedimentation process under different initial light intensities.
磁流变流体(MRF)在工程减震方面展现出了巨大的潜力。然而,分散相与分散介质之间的巨大密度差会导致磁流变流体不可避免地发生沉积,从而严重影响材料的使用寿命并限制其工程应用。MRF 沉积监测技术在理解沉积行为方面起着至关重要的作用,并对 MRF 的后续再分散具有重要意义。因此,近年来 MRF 的监测技术越来越受到重视。本研究提出了一种基于机器视觉的实时原位监测方法,用于测试和评估 MRF 的悬浮稳定性。首先,在 MRF 柱的侧面固定一个红外广角夜视镜头(IWNVL),用于捕捉 MRF 在沉积过程中的连续图像。然后,利用高斯滤波和形态滤波获得灰度值(GV)。其次,结合 Kynch 沉积理论和 Lambert-Beer 复合材料光学透射理论,本作品建立了一个分析模型,以找出 MRF 的浓度梯度与其灰度值之间的关系。接下来,可以通过连续 MRF 图像的 GV 检验随时间变化的浓度分布。最后,本文对制备的 MRF 柱进行了实验,并通过电容传感器和简单的视觉观察对测试结果进行了验证和讨论。实验结果表明,所提出的方法可以准确测量不同初始光强下 MRF 沉积过程中的浓度分布。
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引用次数: 0
A novel “S” chain structure mechanism model of magneto-rheological elastomer 磁流变弹性体的新型 "S "链结构机理模型
IF 2.7 3区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-08-17 DOI: 10.1177/1045389x241273008
Yongmin Zhang, Hailong Zhang, Enrong Wang
Mechanism models based on chain-like structures are often used to characterize the morphology of magneto-rheological elastomer (MRE) and provide theoretical guidance for MRE preparation. However, widely used shear and tension mechanism models based on oblique straight chain or bent-chain structures have the limitation of insufficient accuracy in characterization, mainly because the internal particle chains of anisotropic MRE are not simple oblique straight or bent from scanning electron microscope (SEM) results. Therefore, the particle chain formation and particle interaction mechanism within MRE are revealed firstly. The theoretical results shows that particles tend to form S-like chain structures due to complex attraction and extrusion. On this basis, a novel “S” chain mechanism model is proposed, which is confirmed to have higher accuracy than the ideal shear model and tension model by comparing with the experimental results. The main reason is that the “S” chain mechanism model has realized the unification of shear, compressive, or tension mode, and integrates the fully coupled magnetic field, distribution parameters and interface stretching. The “S” chain mechanism model also takes into account the radius and volume fraction of the particles in MRE preparation, which makes it a more accurate guide to subsequent preparation.
基于链状结构的机理模型通常用于表征磁流变弹性体(MRE)的形态,并为 MRE 的制备提供理论指导。然而,广泛使用的基于斜直链或弯曲链结构的剪切和拉伸机理模型存在表征精度不足的局限性,主要是因为从扫描电子显微镜(SEM)结果来看,各向异性 MRE 的内部颗粒链并非简单的斜直或弯曲。因此,首先要揭示 MRE 内部颗粒链的形成和颗粒相互作用机理。理论结果表明,颗粒在复杂的吸引和挤压作用下往往会形成 S 型链结构。在此基础上,提出了一种新的 "S "链机制模型,并通过与实验结果的比较,证实该模型比理想的剪切模型和拉伸模型具有更高的精确度。主要原因是 "S "链机理模型实现了剪切、压缩或拉伸模式的统一,并整合了完全耦合的磁场、分布参数和界面拉伸。S "链机理模型还考虑了 MRE 制备过程中颗粒的半径和体积分数,因此对后续制备具有更准确的指导意义。
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引用次数: 0
Hybrid dynamical modeling of shape memory alloy actuators with phase kinetic equations 利用相位动力学方程对形状记忆合金致动器进行混合动力学建模
IF 2.7 3区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-08-05 DOI: 10.1177/1045389x241265617
Scott Kennedy, Nicholas Vlajic, Edmon Perkins
Shape memory alloy morphing actuators are a type of composite soft actuator with many attractive properties such as large deformation, small form factor, self-sensing ability, and physical reservoir computing potential. These actuators are composed of active shape memory alloy wires and a passive material to magnify the overall deflection. However, the dynamic modeling of these actuators is difficult due to both shape memory alloy characteristics and the nonlinearity of the passive layer. Here, a hybrid dynamical model is proposed that couples the phase kinetics and thermal modeling for the shape memory alloy with a dynamic Cosserat beam model. This hybrid model is benchmarked against experimental linear and morphing actuators resulting in a root mean squared error of 0.87 mm for the linear actuator and root mean squared error of 1.34 and 1.42 mm for the two morphing actuator configurations evaluated in this work. This model applies continuous phase kinetic equations in a comprehensive hybrid dynamical model to accurately simulate the hysteretic transition of the alloy, which is then coupled to a high deformation beam model. This work can expand the capability and design of novel morphing actuators to achieve specified dynamic characteristics for increased application in robotic fields.
形状记忆合金变形致动器是一种复合软致动器,具有变形量大、外形尺寸小、自感应能力强和物理存储计算潜力大等诸多诱人特性。这些致动器由主动形状记忆合金线和被动材料组成,可放大整体挠度。然而,由于形状记忆合金的特性和被动层的非线性,这些致动器的动态建模非常困难。本文提出了一种混合动力学模型,将形状记忆合金的相动力学和热建模与动态 Cosserat 梁模型结合起来。该混合模型以实验中的线性和变形致动器为基准,结果是线性致动器的均方根误差为 0.87 毫米,而本研究中评估的两种变形致动器配置的均方根误差分别为 1.34 毫米和 1.42 毫米。该模型在一个综合混合动力学模型中应用了连续相动力学方程,以精确模拟合金的滞后转变,然后将其与高变形梁模型耦合。这项工作可以扩展新型变形致动器的能力和设计,使其达到指定的动态特性,从而增加在机器人领域的应用。
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引用次数: 0
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