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Enhanced static-dynamic friction transition modelling for pneumatic actuators: improved LuGre approach and parameter identification 气动执行器的增强静态动态摩擦过渡建模:改进的LuGre方法和参数识别
IF 2.1 3区 工程技术 Q3 MECHANICS Pub Date : 2025-11-27 DOI: 10.1007/s11012-025-02040-z
Yanying Qi, Aipeng Jaing, Yuhang Gao

Friction is a key nonlinear factor in pneumatic servo systems, and its accurate modeling and parameter identification directly affect control performance. The conventional LuGre model fails to describe smooth static-to-dynamic transitions, especially during low-speed startup. It also involves strong parameter coupling, which often causes traditional optimization algorithms to converge to local optima. To address these issues, an improved LuGre model and an intelligent identification method are proposed. A transition function is introduced to capture continuous friction behavior, and Lyapunov theory is used to prove model stability. Experiments show that the improved model increases friction peak prediction accuracy by 43–45%. For parameter identification, a hybrid evolutionary algorithm is developed by combining chaotic mapping and Gaussian convolution. The chaotic mapping enhances population diversity, while the Gaussian convolution improves local search capability. This dynamic combination balances global exploration and local exploitation. In experimental validation, the proposed algorithm maintains relative parameter identification errors below 2%, showing better convergence speed and accuracy than conventional methods.

摩擦是气动伺服系统中一个关键的非线性因素,其准确建模和参数辨识直接影响控制性能。传统的LuGre模型无法描述平稳的静态到动态转换,特别是在低速启动时。它还涉及到强参数耦合,这往往导致传统的优化算法收敛到局部最优。为了解决这些问题,提出了一种改进的LuGre模型和智能识别方法。引入过渡函数捕捉连续摩擦行为,并利用李雅普诺夫理论证明模型的稳定性。实验表明,改进后的模型可将摩擦峰预测精度提高43 ~ 45%。在参数辨识方面,将混沌映射与高斯卷积相结合,提出了一种混合进化算法。混沌映射增强了种群多样性,高斯卷积增强了局部搜索能力。这种动态结合平衡了全球勘探和本地开发。在实验验证中,该算法的相对参数识别误差保持在2%以下,收敛速度和精度均优于传统方法。
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引用次数: 0
Investigating the benefit of aerodynamic shape optimization for a wing with distributed propulsion 研究分布式推进机翼气动外形优化的效益
IF 2.1 3区 工程技术 Q3 MECHANICS Pub Date : 2025-11-19 DOI: 10.1007/s11012-025-01969-5
Bernardo Pacini, Malhar Prajapati, Karthik Duraisamy, Joaquim R. R. A. Martins, Ping He

Recent interest in urban and regional air mobility and the need to improve the aviation industry’s emissions has motivated research and development of novel propeller-driven vehicles. These vehicles range in configuration from conventional takeoff and landing designs to complex rotorcraft that transition between vertical and horizontal flight. These designs must be optimized to ensure optimal efficiency throughout their missions, leveraging the tightly coupled nature of propeller-wing interaction. In this work, we study the NASA tiltwing concept vehicle wing with varying numbers of propellers, ranging from no propellers to five propellers evenly spaced along the wing. Using aerodynamic shape optimization, we optimize the wing shapes for each propeller-wing configuration, minimizing the wing drag. These optimizations are carried out with DAFoam, a discrete adjoint implementation of OpenFOAM, embedded within OpenMDAO and the MPhys optimization framework. The optimizations show that the lowest drag configuration is a single propeller mounted at the wing tip. Increasing the number of propellers slightly increases drag compared to the single propeller configuration. However, aerodynamic shape optimization considering propeller-wing interaction yields a negligible benefit compared to aerodynamic optimization of an isolated wing that is subsequently trimmed to a desired flight condition in the presence of a propeller.

最近对城市和区域空中交通的兴趣以及改善航空业排放的需要促使了新型螺旋桨驱动飞行器的研究和开发。这些飞行器的配置范围从传统的起降设计到在垂直和水平飞行之间转换的复杂旋翼飞行器。这些设计必须进行优化,以确保在整个任务中实现最佳效率,充分利用螺旋桨与机翼相互作用的紧密耦合特性。在这项工作中,我们研究了具有不同数量螺旋桨的NASA倾转翼概念飞行器机翼,从没有螺旋桨到沿机翼均匀分布的五个螺旋桨。利用气动形状优化,我们优化了每个螺旋桨翼配置的机翼形状,最大限度地减少了机翼阻力。这些优化是用DAFoam进行的,它是OpenFOAM的离散伴随实现,嵌入在OpenMDAO和MPhys优化框架中。优化结果表明,最小阻力配置是在翼尖安装单个螺旋桨。与单螺旋桨配置相比,增加螺旋桨数量会略微增加阻力。然而,考虑到螺旋桨-机翼相互作用的气动形状优化,与随后在螺旋桨存在的情况下调整到所需飞行条件的孤立机翼的气动优化相比,产生的好处微不足道。
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引用次数: 0
Nonlinear constitutive piezoelectric cantilever beam with tip mass for energy harvesting, and sensing applications 具有尖端质量的非线性本构压电悬臂梁用于能量收集和传感应用
IF 2.1 3区 工程技术 Q3 MECHANICS Pub Date : 2025-11-06 DOI: 10.1007/s11012-025-02055-6
Latalski Jaroslaw, Warminski Jerzy

Dynamics of a rotating hub and clamped bimorph carrying a tip mass is studied in this paper. In the mathematical model of the structure the classical linear kinematics of the beam deformation is assumed. However, based on experimental results published in literature, the nonlinear formulation of the piezoceramic material constitutive equations is adopted by introducing second-order strain terms. The governing equations of the discussed system are formulated by means of the Hamilton’s principle of least action. The derived system of three coupled nonlinear integro-partial differential equations represents the electro-mechanical behaviour of the beam (transverse displacement and transducer output voltage) and the angular coordinate of the hub. The derived governing equations are reduced by virtue of the Galerkin method and solved numerically around the first resonance zone under periodic torque excitation supplied to the hub. The performed numerical simulations show the system performance for different scenarios of torque excitation, tip mass ratios and electrical boundary conditions.

本文研究了旋转轮毂和夹持双晶片携带尖端质量的动力学问题。在结构的数学模型中,假定梁的变形是经典的线性运动学。然而,在文献实验结果的基础上,通过引入二阶应变项,采用了压电陶瓷材料本构方程的非线性表述。利用哈密顿最小作用量原理建立了系统的控制方程。导出的三个耦合非线性积分-偏微分方程组代表了梁的机电特性(横向位移和换能器输出电压)和轮毂的角坐标。利用伽辽金法对导出的控制方程进行了化简,并在轮毂周期性转矩激励下围绕第一共振区进行了数值求解。数值模拟结果显示了系统在不同转矩激励、叶尖质量比和电边界条件下的性能。
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引用次数: 0
Modelling water-induced bending in paper actuators 纸张致动器水致弯曲模型
IF 2.1 3区 工程技术 Q3 MECHANICS Pub Date : 2025-10-25 DOI: 10.1007/s11012-025-02057-4
William C. C. Chow, Alfonso H. W. Ngan

Tracing paper made of cellulose fibres exhibit intriguing bending behaviour upon water absorption due to differential swelling across the paper layers, making them suitable candidates for water-induced actuators in paper-based microfluidic devices. However, the bending of tracing paper as a result of water absorption has not been successfully modelled. Here, a unified equation for water diffusion in cellulose papers is derived from Onsager’s principle to take into account both Fickian diffusion driven by water entropy and non-Fickian diffusion driven by osmotic strain energy of the fibres, against dissipation forces comprising friction of water transport and rheological losses of the fibre deformation. The results indicate that the bending dynamics of tracing papers with dense and uniform cellulose fibres is dominated by non-Fickian diffusion. This research advances the understanding of water transport and deformation in cellulose-based materials and provides a theoretical framework for their bending actuation driven by water diffusion.

由纤维素纤维制成的描图纸在吸水时表现出有趣的弯曲行为,这是由于在纸层上的不同膨胀,使它们成为纸基微流体装置中水致动器的合适人选。然而,由于吸水而导致的描图纸弯曲还没有成功地建模。本文根据Onsager原理推导了纤维素纸中水分扩散的统一方程,考虑了由水熵驱动的菲克扩散和由纤维渗透应变能驱动的非菲克扩散,以及由水输运摩擦和纤维变形流变损失组成的耗散力。结果表明,致密均匀纤维素纤维描图纸的弯曲动力学以非菲克扩散为主。这项研究促进了对纤维素基材料中水分传输和变形的理解,并为水扩散驱动的弯曲驱动提供了理论框架。
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引用次数: 0
Bioinspired flexible sinusoidal corrugated airfoils for enhanced aerodynamic performance in flapping-wing flight 仿生柔性正弦波纹翼型在扑翼飞行中的气动性能增强
IF 2.1 3区 工程技术 Q3 MECHANICS Pub Date : 2025-10-21 DOI: 10.1007/s11012-025-02056-5
Dan Hou, Tianxiang Gu, Zheng Zhong

The corrugation, formed by the spatial distribution of veins, is a general feature among insect wings and has drawn attention for its potential role in aerodynamic performance. In this study, a sinusoidal corrugated airfoil is proposed to enhance the design applicability of bio-inspired flapping-wing aircraft. Through fluid–structure interaction analysis, the aerodynamic characteristics of corrugated flapping airfoils with specific configurations are thoroughly studied under the Reynolds number of 900. It is found that the flexible sinusoidal corrugated airfoil outperforms the flat plate airfoil both in lift and thrust while staying lightweight and flexible, with the maximum increases of 311% and 119%, respectively. This advantage stems mainly from the positive influence of corrugations on flow field and vortex structure, coupled with a moderate reduction of the chord stiffness of airfoil. In particular, some useful rules in enhancing aerodynamics are revealed in the bionic wing design, from studying 10 sinusoidal corrugated airfoils. Lift is more sensitive to the leading-edge corrugation, and becomes optimal when the corrugation is convex with a width less than 30% of the chord length. Thrust is primarily influenced by the trailing-edge corrugation, with convex corrugation generating optimal thrust across various widths. The findings provide fundamental insights for wing section optimization in the design of bionic flapping wings.

由叶脉的空间分布所形成的波纹是昆虫翅膀的一个普遍特征,由于其在气动性能中的潜在作用而引起了人们的关注。为了提高仿生扑翼飞机的设计适用性,本文提出了一种正弦波形翼型。通过流固耦合分析,深入研究了特定构型的波纹扑翼型在900雷诺数下的气动特性。结果表明,柔性正弦波纹翼型在保持轻量化和柔韧性的同时,其升力和推力均优于平板翼型,最大增幅分别为311%和119%。这种优势主要源于波纹对流场和涡结构的积极影响,加上翼型弦刚度的适度降低。通过对10种正弦波纹翼型的研究,揭示了仿生翼设计中提高气动性能的一些有益规律。升力对前缘波纹更为敏感,当前缘波纹为凸形且宽度小于弦长30%时升力最佳。推力主要受尾缘波纹的影响,凸波纹在不同宽度上产生最优推力。研究结果为仿生扑翼的截面优化设计提供了理论依据。
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引用次数: 0
Simple formulas for the dynamic response of parametrically excited slender and straight structures immersed in fluid 浸没在流体中的参数化激励细长和直线结构动力响应的简单公式
IF 2.1 3区 工程技术 Q3 MECHANICS Pub Date : 2025-10-17 DOI: 10.1007/s11012-025-02042-x
Guilherme Jorge Vernizzi, Stefano Lenci, Celso Pupo Pesce, Guilherme Rosa Franzini

This work presents the development of a simplified mathematical formulation for the fast evaluation of the steady state response of slender structures under parametric excitation, considering also the interaction with a still surrounding fluid. The simplified formulation is obtained from a previous solution based on the multiple scales method. However, this previous solution requires a series of cumbersome integrals to be evaluated, rendering it non-attractive for widespread use in engineering design. The objective of the simplified solution is then to render it attractive as a design aiding tool for structural engineers. Along the work, many examples are shown comparing the proposed formulation with solutions obtained with the Finite Element Method in order to address the capability of the latter to correctly predict the amplitude of response of the structure. The results presented highlight this capability, and also provide a guided approach on how the formulation can be used for parametric investigations of the structure at hand.

这项工作提出了一个简化的数学公式,用于快速评估细长结构在参数激励下的稳态响应,同时考虑与静止周围流体的相互作用。该简化公式是由先前基于多尺度法的解得到的。然而,先前的解决方案需要计算一系列繁琐的积分,使得它在工程设计中不具有广泛的应用吸引力。简化方案的目的是使其成为结构工程师的设计辅助工具。在工作中,给出了许多实例,将所提出的公式与用有限元法得到的解进行比较,以解决后者正确预测结构响应幅值的能力。所提出的结果突出了这种能力,也提供了一个指导性的方法,如何将公式用于手边结构的参数研究。
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引用次数: 0
Deformation analysis of soft Pneu-net actuators in free space with different chamber spacing 软气动网作动器在不同腔室间距下的自由空间变形分析
IF 2.1 3区 工程技术 Q3 MECHANICS Pub Date : 2025-10-10 DOI: 10.1007/s11012-025-02054-7
Mingyue Lu, Xing Ge, Yanyan Wu, Li Ding, Chengtao Yu, Xia Ye

Soft pneu-net actuators (SPAs) are flexible structures, which are typically composed of elastomeric materials and capable of undergoing significant deformations. However, accurately characterizing and predicting their bending behavior remains challenging due to the distinct driving mechanisms of SPAs with different chamber spacing (DCS-SPAs). To address this problem, the paper presents a kinematic model for analyzing SPAs with varying spacing distances. The study focuses on the bending mechanisms of soft actuators with varying spacing distances, considering two scenarios: when the chamber sidewalls are in contact and when they are not during the bending expansion. A method for determining whether the chamber sidewalls are in contact is also introduced. The chamber-contact model is developed using finite strain membrane theory and finite hyperelastic cantilever beam theory. The non-contact chamber model is derived theoretically using the principle of virtual work. This model can predict the bending deformation of SPA with varying spacing distances in free space. The theoretical results are compared with experimental data and finite element analyses. The results indicate that the model accurately predicts the behavior of DCS-SPA. Errors for contact models range from 5 to 10%, while non-contact models range from 5 to 15%.

软气动网执行器(spa)是一种柔性结构,通常由弹性体材料组成,能够承受较大的变形。然而,由于不同腔室间距(dcs - spa)的驱动机制不同,准确表征和预测其弯曲行为仍然具有挑战性。为了解决这一问题,本文提出了一种分析不同间距下spa的运动学模型。研究了不同间距软执行器的弯曲机理,考虑了两种情况:弯曲膨胀过程中腔室侧壁接触和不接触。还介绍了一种确定腔室侧壁是否接触的方法。采用有限应变膜理论和有限超弹性悬臂梁理论建立了腔室接触模型。利用虚功原理,从理论上推导了非接触腔室模型。该模型可以预测自由空间中不同间距的SPA弯曲变形。将理论计算结果与实验数据和有限元分析结果进行了比较。结果表明,该模型能较准确地预测DCS-SPA的性能。接触式模型的误差在5%到10%之间,非接触式模型的误差在5%到15%之间。
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引用次数: 0
DNS of the shear flows between two counter-rotating cylinders, radius ratio eta = 0.9 两个反向旋转圆柱间的剪切流的DNS,半径比eta = 0.9
IF 2.1 3区 工程技术 Q3 MECHANICS Pub Date : 2025-10-02 DOI: 10.1007/s11012-025-02047-6
Ewa Tuliszka-Sznitko

Direct numerical simulation is used to investigate the subcritical transition to turbulence in the counter-rotating Taylor-Couette configuration of axial aspect ratio of Γ = H/(R2-R1) = 4.7 and radius ratio η = R1/R2 = 0.9 with the end-walls attached to the inner cylinder (the narrow gap flow case, R1, R2 are radii of the inner and outer cylinder, H is the cylinders height). In all considered Taylor-Couette flow cases Reynolds number of the inner cylinder Re1 = Ω1R1(R2-R1)/ν is increased along the Re1 = Re2 η/(Ω21)  line to reach ‘featureless turbulence’ area (Ω1, Ω2 are angular velocities of the inner and outer cylinders, Re2 = Ω2R2(R2-R1)/ν). Starting from this area the reduction of Re1 is performed with the fixed Re2 (Re2 from − 1000 up to − 500). This leads finally to the appearance of aperiodic flow featuring interpenetrating spirals, and then to the Couette flow. For comparison, the computations are also performed for the wide gap flow case of η = 0.8 (Re2 from − 1500 to − 500). In the (Re2, Re1) plane, the obtained turbulent-laminar critical line (η = 0.9) is located bellow the critical lines published in literature: bellow critical line obtained from the linear stability theory and bellow this obtained for the configuration with the end-walls attached to the outer cylinder. The results show the destabilizing influence of the end-walls attached to the inner cylinder on the flow dynamics. The radial profiles of the Reynolds stress tensor components illustrate quantitatively the changes occurring in the flow dynamics during considered processes. The Power Spectrum Density distributions are presented. The studied processes are visualized using the λ2 method.

采用直接数值模拟的方法,研究了轴向展弦比Γ = H/(R2-R1) = 4.7,半径比η = R1/R2 = 0.9,端壁附在内筒(窄间隙流情况下,R1、R2为内外筒半径,H为筒高)的逆旋转Taylor-Couette构型亚临界向湍流过渡的过程。在所有考虑的泰勒-库埃特流情况下,内柱的雷诺数Re1 = Ω1R1(R2-R1)/ν沿着Re1 = Re2 η/(Ω2/Ω1)线增加,以达到“无特征湍流”区域(Ω1, Ω2是内外柱的角速度,Re2 = Ω2R2(R2-R1)/ν)。从这个区域开始,Re1的减少与固定Re2一起进行(Re2从−1000到−500)。这最终导致了以相互穿透螺旋为特征的非周期流的出现,然后是库埃特流。为了比较,我们还对η = 0.8 (Re2从−1500到−500)的宽间隙流动情况进行了计算。在(Re2, Re1)平面上,得到的湍流-层流临界线(η = 0.9)位于文献中公布的临界线以下:由线性稳定性理论得到的临界线以下,端壁附在外筒构型下得到的临界线以下。结果表明,端壁附在内筒体上对流动动力学具有不稳定的影响。雷诺兹应力张量分量的径向分布定量地说明了在考虑过程中发生的流动动力学变化。给出了功率谱密度分布。用λ2方法对研究过程进行了可视化。
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引用次数: 0
One-dimensional finite element model based on a higher-order framework for efficient post-buckling analysis of stiffened cylindrical structures 基于高阶框架的加劲圆柱结构屈曲后分析的一维有限元模型
IF 2.1 3区 工程技术 Q3 MECHANICS Pub Date : 2025-10-01 DOI: 10.1007/s11012-025-02048-5
Omid Mir, Mojtaba Farrokh, Erasmo Carrera

The post-buckling behavior of cylindrical shells was modeled using an efficient one-dimensional finite-element method. Compared to traditional three-dimensional models which require highly intricate calculations to analyze post-buckling behavior, this technique succeeded in lowering the number of degrees of freedom by 60–64% while retaining accuracy. Using higher-order Taylor expansion, the displacement function was derived. To demonstrate the ability of the model, additional geometric parameter variations were evaluated, thereby boosting its capability to simulate complex structural responses across a broader range of conditions. The nonlinear governing equations derived from the principle of virtual work were solved using the Newton–Raphson method under the arc-length constraint. Numerical results proved the effectiveness of the model, as it captured highly intricate post-buckling modes with a great extent of accuracy at a significantly reduced computational cost. The incorporation of higher-order terms and stiffener effects enables predictions to be made with even higher accuracy, especially in large deformations.

采用有效的一维有限元方法对圆柱壳的后屈曲行为进行了模拟。传统的三维模型需要高度复杂的计算来分析屈曲后的行为,相比之下,该技术成功地将自由度减少了60-64%,同时保持了精度。利用高阶泰勒展开,导出了位移函数。为了证明模型的能力,额外的几何参数变化进行了评估,从而提高了其在更广泛的条件下模拟复杂结构响应的能力。在弧长约束下,利用牛顿-拉夫逊法求解了由虚功原理导出的非线性控制方程。数值结果证明了该模型的有效性,因为它以极大的精度捕获了高度复杂的后屈曲模式,大大降低了计算成本。高阶项和加劲效应的结合使预测具有更高的精度,特别是在大变形中。
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引用次数: 0
Implementation of a hybrid force/position control system on a robot hand for stable grasping with haptic feedback 基于触觉反馈的机械人手稳定抓取力/位置混合控制系统的实现
IF 2.1 3区 工程技术 Q3 MECHANICS Pub Date : 2025-10-01 DOI: 10.1007/s11012-025-02050-x
Hamidreza Heidari, Tayebeh Ghahri Saremi, Tahereh Ghahri Saremi, Kourosh Zareinia, Fanny Ficuciello

Grasping is a fundamental skill that allows humans to interact with their environment and manipulate objects effectively. Given its importance, robotics researchers have long been interested in replicating and imitating this skill in robotic systems. The field of robotic grasping has made significant progress in recent years, with a focus on designing robotic hands and control algorithms. One key aspect that can enhance the control and precision of robotic hands is the incorporation of haptic feedback. The goals of this article include implementing a control system to perform grasping functions, reproducing Cutkosky grasping classification, imitating robot hand movements from the user’s hand, and providing haptic feedback to the user’s hand. This paper presents the development and implementation of a 5-DoF robotic hand with a linkage. The robotic hand was created using 3D printing technology. To achieve control the position and force of the fingers, a Proportional-Integral-Derivative (PID) Control method is employed. Additionally, a tactile haptic interface is utilized to control the hand and provide haptic feedback to the user. In this direction, the performance of position and hybrid force/position control of the robotic hand was tested on grasping different objects. The results show that the robot hand can capture 9 Cutkosky grasping classification patterns. Furthermore, by incorporating hybrid force/position control, the robot hand was able to hold objects without damaging them and offers better grasping performance compared to position control. Finally, providing haptic feedback to the user can enhance the interaction experience.

抓取是一项基本技能,它使人类能够与环境互动,并有效地操纵物体。鉴于它的重要性,机器人研究人员长期以来一直对在机器人系统中复制和模仿这项技能感兴趣。近年来,机器人抓取领域取得了重大进展,其中机械手设计和控制算法是研究的重点。提高机械人手控制和精度的一个关键方面是触觉反馈的结合。本文的目标包括实现一个控制系统来执行抓取功能,再现Cutkosky抓取分类,从用户的手模仿机器人的手部运动,并向用户的手提供触觉反馈。本文介绍了一种带连杆的五自由度机械手的研制与实现。这只机械手是用3D打印技术制作的。为了实现对手指位置和受力的控制,采用了比例-积分-导数(PID)控制方法。此外,触觉触觉界面被用来控制手并向用户提供触觉反馈。在此方向上,测试了机械手抓取不同物体时的位置和混合力/位置控制性能。结果表明,该机械手能够捕获9种Cutkosky抓取分类模式。此外,通过结合混合力/位置控制,机器人手能够在不损坏物体的情况下握住物体,并且与位置控制相比具有更好的抓取性能。最后,为用户提供触觉反馈可以增强交互体验。
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引用次数: 0
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