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Belief reliability of structures with hybrid uncertainties 具有混合不确定性的结构的信念可靠性
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-08-02 DOI: 10.1007/s11012-024-01832-z
Sushma H. Metagudda, A. S. Balu

Reliability of structures is evaluated by considering uncertainties present in the system, which can be characterized into aleatory and epistemic. Inherent randomness in the physical environment leads to aleatory, whereas insufficient knowledge about the system leads to epistemic uncertainty. For the reliability evaluation, ascertaining the sources of uncertainties poses a great challenge since both uncertainties coexist widely in structural systems. Aleatory uncertainties are quantified by probabilistic measures (such as first order reliability method, second order reliability method and Monte Carlo techniques), whereas epistemic uncertainties are quantified by various non-probabilistic approaches (such as interval analysis methods, evidence theory, possibility theory and fuzzy theory). However, major issues like interval extension problem and duality conditions that lead to overestimation hinder the versatility of application of such methods, thus uncertainty theory has been emerged to overcome these limitations. Given the existing uncertainties and limitations, a hybrid strategy has been constructed and referred to as “belief reliability”. A belief reliability metric is integration of three key factors: design margin, aleatory and epistemic uncertainty factor to evaluate the reliability of the structural system. In this paper, Monte Carlo simulation is adopted to account for aleatory uncertainty. On the other hand, epistemic uncertainty is quantified through adjustment factor approach using FMEA (failure mode effective analysis). Numerical examples are presented to substantiate the proposed methodology being applied to variety of problems both implicit and explicit nature in structural engineering.

对结构可靠性的评估要考虑到系统中存在的不确定性,这些不确定性可分为先验不确定性和认识不确定性。物理环境固有的随机性导致了不确定性,而对系统了解不足则导致了认识上的不确定性。对于可靠性评估而言,确定不确定性的来源是一项巨大的挑战,因为这两种不确定性在结构系统中广泛共存。先验不确定性通过概率方法(如一阶可靠性方法、二阶可靠性方法和蒙特卡罗技术)进行量化,而认识不确定性则通过各种非概率方法(如区间分析方法、证据理论、可能性理论和模糊理论)进行量化。然而,区间扩展问题和导致高估的对偶条件等主要问题阻碍了这些方法的广泛应用,因此出现了不确定性理论来克服这些限制。鉴于现有的不确定性和局限性,一种混合策略应运而生,被称为 "信念可靠性"。信念可靠性度量综合了三个关键因素:设计裕度、可知不确定性因素和认识不确定性因素,以评估结构系统的可靠性。本文采用蒙特卡洛模拟法来考虑先验不确定性。另一方面,通过使用 FMEA(失效模式有效分析)的调整因子方法对认识不确定性进行量化。本文列举了一些数值实例,以证明所提出的方法适用于结构工程中的各种隐性和显性问题。
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引用次数: 0
A thermodynamical suspension model for blood 血液热力学悬浮模型
IF 2.7 3区 工程技术 Q3 MECHANICS Pub Date : 2024-08-02 DOI: 10.1007/s11012-024-01859-2
Matteo Gorgone, Carmelo Filippo Munafò, Annunziata Palumbo, Patrizia Rogolino

A complete thermodynamical analysis for a blood model, based on mixture theory, is performed. The model is developed considering the blood as a suspension of red blood cells (solid component) in the plasma (fluid component), and taking into account the temperature effects. Furthermore, two independent scalar internal variables are introduced accounting for additional dissipative effects. Using Clausius-Duhem inequality, the general thermodynamic restrictions and residual dissipation inequality are derived. The thermodynamic admissibility with the second law of thermodynamics is assessed by means of the extended Coleman-Noll procedure; in one space dimension we exhibit a solution of all the thermodynamical constraints.

以混合物理论为基础,对血液模型进行了完整的热力学分析。该模型将血液视为血浆(液体成分)中的红细胞(固体成分)悬浮液,并考虑了温度效应。此外,还引入了两个独立的标量内部变量,以考虑额外的耗散效应。利用克劳修斯-杜恒不等式,推导出一般热力学限制和剩余耗散不等式。通过扩展的科尔曼-诺尔程序评估了热力学第二定律的热力学可接受性;在一个空间维度上,我们展示了所有热力学约束条件的解决方案。
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引用次数: 0
A method to enhance the nonlinear magnetic plucking for vibration energy harvesters 增强振动能量收集器非线性磁拨的方法
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-08-02 DOI: 10.1007/s11012-024-01856-5
Michele Rosso, Simone Cuccurullo, Filippo Pietro Perli, Federico Maspero, Alberto Corigliano, Raffaele Ardito

In this work, a technique to improve the magnetic plucking for frequency up-conversion in piezoelectric energy harvesters is presented. The technique involves shielded magnets with Neodymium-iron-boron alloy polarized in the opposite direction on a main magnet. The phenomenon is investigated both at the computational and at the experimental level. Subsequently, simulations on a mesoscale piezoelectric energy harvester are presented which demonstrate a gain of 17 times if the magnets are shielded in comparison with the classical plucking (i.e. without shielding). The technique finds useful applications and benefits in the field of low-speed and low-frequency vibration energy harvesting, as well as in actuation and sensing.

在这项工作中,介绍了一种改善压电能量收集器频率上变频的磁拨技术。该技术涉及主磁体上极化方向相反的钕铁硼合金屏蔽磁体。在计算和实验层面对这一现象进行了研究。随后,对一个中尺度压电能量收集器进行了模拟,结果表明,与传统的弹拨法(即无屏蔽)相比,如果磁体被屏蔽,增益可达 17 倍。该技术在低速和低频振动能量收集以及执行和传感领域有着有益的应用和优势。
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引用次数: 0
A new combined fabrication process to shape small flexure hinges 塑造小型挠性铰链的新型组合制造工艺
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-07-27 DOI: 10.1007/s11012-024-01860-9
Marco Fava, Vincenzo Parenti-Castelli, Michele Conconi, Nicola Sancisi

This paper presents a new combined fabrication method, named 3D-PLAST, aimed at overcoming inherent limitations of conventional additive manufacturing techniques when producing small flexure hinges in compliant mechanisms. Flexure hinges play a crucial role in various applications, offering advantages such as cost reduction, increased precision, and weight reduction. However, traditional additive manufacturing proves challenging in achieving satisfactory mechanical properties when manufacturing small-size hinges. To overcome these limitations, the 3D-PLAST process combines fused filament fabrication with compressive plastic deformation. This hybrid process exploits the advantages of both techniques, i.e., flexibility, low cost, and ease of use. This process enables the fabrication of small-size mechanisms with good dimensional accuracy. Finally, the paper reports experimental tests on two materials comparing flexure hinges manufactured by 3D-PLAST versus 3D printing methods to demonstrate the effectiveness of the proposed process.

本文介绍了一种名为 3D-PLAST 的新型组合制造方法,旨在克服传统增材制造技术在生产顺从机构中的小型挠性铰链时所固有的局限性。挠性铰链在各种应用中发挥着至关重要的作用,具有降低成本、提高精度和减轻重量等优势。然而,在制造小型铰链时,传统的快速成型技术在获得令人满意的机械性能方面具有挑战性。为了克服这些限制,3D-PLAST 工艺将熔融长丝制造与压缩塑性变形相结合。这种混合工艺利用了两种技术的优点,即灵活性、低成本和易用性。这种工艺能够制造出尺寸精度高的小尺寸机构。最后,论文报告了两种材料的实验测试,比较了 3D-PLAST 与 3D 打印方法制造的挠性铰链,以证明所提议工艺的有效性。
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引用次数: 0
Influence of extruder geometry and bio-ink type in extrusion-based bioprinting via an in silico design tool 通过硅学设计工具研究挤压机几何形状和生物墨水类型对挤压式生物打印的影响
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-07-25 DOI: 10.1007/s11012-024-01862-7
Francesco Chirianni, Giuseppe Vairo, Michele Marino

Planning a smooth-running and effective extrusion-based bioprinting process is a challenging endeavor due to the intricate interplay among process variables (e.g., printing pressure, nozzle diameter, extrusion velocity, and mass flow rate). A priori predicting how process variables relate each other is complex due to both the non-Newtonian response of bio-inks and the extruder geometries. In addition, ensuring high cell viability is of paramount importance, as bioprinting procedures expose cells to stresses that can potentially induce mechanobiological damage. Currently, in laboratory settings, bioprinting planning is often conducted through expensive and time-consuming trial-and-error procedures. In this context, an in silico strategy has been recently proposed by the authors for a clear and streamlined pathway towards bioprinting process planning (Chirianni et al. in Comput Methods Appl Mech Eng 419:116685, 2024. https://doi.org/10.1016/j.cma.2023.116685). The aim of this work is to investigate on the influence of bio-ink polymer type and of cartridge-nozzle connection shape on the setting of key process variables by adopting such in silico strategy. In detail, combinations of two different bio-inks and three different extruder geometries are considered. Nomograms are built as graphical fast design tools, thus informing how the printing pressure, the mass flow rate and the cell viability vary with extrusion velocity and nozzle diameter.

由于工艺变量(如印刷压力、喷嘴直径、挤出速度和质量流量)之间的相互作用错综复杂,因此规划一个平稳有效的挤出生物打印工艺是一项极具挑战性的工作。由于生物墨水的非牛顿反应和挤出机的几何形状,事先预测工艺变量之间的关系非常复杂。此外,确保细胞的高存活率也是至关重要的,因为生物打印过程会使细胞暴露在应力下,从而可能诱发机械生物学损伤。目前,在实验室环境中,生物打印规划通常是通过昂贵且耗时的试错程序进行的。在这种情况下,作者最近提出了一种硅学策略,为生物打印工艺规划提供了一条清晰而简化的途径(Chirianni 等人,载于《计算方法应用机械工程》419:116685, 2024. https://doi.org/10.1016/j.cma.2023.116685)。这项工作的目的是通过采用这种硅学策略,研究生物墨水聚合物类型和墨盒-喷嘴连接形状对关键工艺变量设置的影响。具体而言,考虑了两种不同生物墨水和三种不同挤出机几何形状的组合。作为图形化的快速设计工具,我们绘制出了规范图,从而告知印刷压力、质量流量和细胞存活率如何随挤出速度和喷嘴直径的变化而变化。
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引用次数: 0
Multimodal uncertainty propagation analysis for the morphing wings of cross-domain variant aircraft 跨域变体飞机变形机翼的多模式不确定性传播分析
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-07-22 DOI: 10.1007/s11012-024-01857-4
Qishui Yao, Siyuan Liu, Jiachang Tang, Hairui Zhang, Zitong Qiu

A multimodal distribution based uncertainty analysis method for cross-domain aircraft morphing wing mechanisms is proposed to address the engineering issue of the reliability of morphing mechanisms. This method is based on Gaussian mixture model, isotropic sparse mesh method combined with maximum entropy method analysis. In the working environment of the morphing wings, the external load exhibits a multimodal distribution with changes in flight altitude and geographical location. Traditional uncertainty methods are difficult to accurately determine the reliability of aircraft under the influence of multiple variable influencing factors. Therefore, the proposed method is proposed to evaluate the reliability of morphing wing mechanisms. Firstly, a Gaussian mixture model is used to establish the mixture density function of the pressure and the leading edge size of the variant aircraft. Secondly, the integral points and weights of the multimodal random variables are calculated by the sparse grid method. Finally, an adaptive convergence mechanism is used to improve the uncertainty propagation accuracy. After a mathematical example and two engineering examples, it can be considered that the proposed method has a certain reference value in analyzing the uncertainty propagation under the multimodal distribution state of multiple factors.

为解决变形机构可靠性的工程问题,提出了一种基于多模态分布的跨域飞机变形翼机构不确定性分析方法。该方法基于高斯混合模型、各向同性稀疏网格法和最大熵法分析。在变形机翼的工作环境中,外部载荷随着飞行高度和地理位置的变化呈现多模态分布。传统的不确定性方法难以准确判断飞机在多种可变影响因素影响下的可靠性。因此,本文提出了评估变形机翼机构可靠性的方法。首先,利用高斯混合模型建立变体飞机压力和前缘尺寸的混合密度函数。其次,利用稀疏网格法计算多模态随机变量的积分点和权重。最后,利用自适应收敛机制提高不确定性传播的精度。经过一个数学实例和两个工程实例的分析,可以认为所提出的方法在分析多因素多模态分布状态下的不确定性传播具有一定的参考价值。
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引用次数: 0
Instability of double-diffusive natural convection in a vertical Brinkman porous layer 垂直布林克曼多孔层中双扩散自然对流的不稳定性
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-07-22 DOI: 10.1007/s11012-024-01851-w
Shuting Lu, Beinan Jia, Jialu Wang, Yongjun Jian

The extended Brinkman model is employed in this study to investigate the instability of double diffusion natural convection in porous layers caused by vertical variations in boundary temperature and solute concentration. The stability of fluid flow is determined by discussing the temporal evolution of normal mode disturbances superposed onto the fundamental state. The linear dynamics problem is formulated as an Orr–Sommerfeld eigenvalue problem and solved numerically using the Chebyshev collocation method. The effects of thermal/solute Darcy–Rayleigh number (RaT/RaS), Lewis number (Le), and Darcy–Prandtl number (PrD) on system instability are analyzed. Growth rate curves indicate that solute Darcy–Rayleigh numbers can induce flow instability. Neutral stability curves show that increasing RaT/RaS promotes instability. There is a critical threshold for Le, exceeding this amplifies instability, while falling below suppresses it. For large RaT values, varying PrD leads to different effects of increasing RaS on flow stability. The stability of the system is significantly dependent on RaT and RaS, with the critical value of the Le playing a decisive role in system stability. Additionally, PrD significantly affects system instability under certain conditions.

本研究采用扩展布林克曼模型来研究边界温度和溶质浓度垂直变化引起的多孔层双扩散自然对流的不稳定性。流体流动的稳定性是通过讨论叠加在基态上的正常模式扰动的时间演化来确定的。线性动力学问题被表述为 Orr-Sommerfeld 特征值问题,并使用切比雪夫配位法进行数值求解。分析了热/溶质达西-雷利数(RaT/RaS)、刘易斯数(Le)和达西-勃兰特数(PrD)对系统不稳定性的影响。增长率曲线表明,溶质达西-雷利数可诱发流动不稳定性。中性稳定性曲线表明,RaT/RaS 的增加会促进不稳定性。Le 存在一个临界阈值,超过该阈值会放大不稳定性,而低于该阈值则会抑制不稳定性。对于较大的 RaT 值,不同的 PrD 会导致 RaS 的增加对流动稳定性产生不同的影响。系统稳定性在很大程度上取决于 RaT 和 RaS,其中 Le 的临界值对系统稳定性起着决定性作用。此外,在某些条件下,PrD 对系统的不稳定性也有很大影响。
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引用次数: 0
Computational modeling of cell motility and clusters formation in enzyme-sensitive hydrogels 酶敏感水凝胶中细胞运动和团块形成的计算建模
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-07-22 DOI: 10.1007/s11012-024-01843-w
Pierfrancesco Gaziano, Michele Marino

In this paper, we propose an extension of a previous model of cell motility in tissue engineering applications recently developed by the authors. Achieving large-scale production of neo-tissue through biofabrication technologies remains challenging owing to the need of thoroughly optimizing all the relevant process variables, a task hardly attainable through solely trial and error approaches. Therefore, the present work is intended to provide a valid and effective computational-based support for neo-tissue formation, with a specific focus on the preliminary phase of such process, in which cells move through a polymeric scaffold (hydrogel) and then compact into clusters. Cell motility is modeled by resorting to the phase-field method, and by incorporating diffusion of nutrients from the external culture bath as well as the expression by cells of chemoattractant substances that bias the random path they otherwise would follow. The previous model has been enriched by additionally encompassing the secretion of enzymes by cells that cleave the crosslinks between the hydrogel polymer chains. As such, in the present model hydrogel degradation exhibits spatio-temporal variations in its chemo-physical properties related to the local amount of enzymes, which deeply affects cell motility. Numerical results showcase the pivotal importance of the cells micro-environment properties for their crawling in hydrogel scaffolds, opening towards the development of a predictive computational-aided optimization tool for neo-tissue growth in bioprinted scaffolds.

在本文中,我们对作者最近开发的组织工程应用中的细胞运动模型进行了扩展。通过生物制造技术实现新组织的大规模生产仍然具有挑战性,因为需要彻底优化所有相关的过程变量,而这一任务很难通过单纯的试错方法来实现。因此,本研究旨在为新生组织的形成提供有效的计算支持,重点关注这一过程的初级阶段,即细胞在聚合物支架(水凝胶)中移动,然后紧密成簇。细胞运动模型采用了相场法,并结合了外部培养槽中营养物质的扩散以及细胞表达的趋化物质,这些物质会使细胞运动的随机路径发生偏移。前一个模型还增加了细胞分泌的酶,这些酶可以裂解水凝胶聚合物链之间的交联。因此,在本模型中,水凝胶降解的化学物理性质表现出与局部酶数量相关的时空变化,这对细胞运动产生了深刻影响。数值结果展示了细胞微环境特性对其在水凝胶支架中爬行的关键重要性,为开发生物打印支架中新组织生长的预测性计算辅助优化工具开辟了道路。
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引用次数: 0
Using a robust mu-synthesis based controller to eliminate the adverse effects of uncertainties and external disturbances in nonlinear 3D overhead cranes with hoisting mechanism 使用基于鲁棒缪合成的控制器消除带起升机构的非线性 3D 桥式起重机中的不确定性和外部干扰的不利影响
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-07-21 DOI: 10.1007/s11012-024-01846-7
Mohammad Khoshnazar, Amir Hossein Barjini, Hamed Moradi

In this paper, a robust (mu)-optimal controller is developed for a three-dimensional overhead crane system with hoisting mechanism using the (mu)-synthesis method. The 3D overhead crane system is modeled as an underactuated five degrees of freedom (5DOFs) system with uncertain parameters. The system receives only three input signals: Two forces that move the trolley along the (x) and (y) axes, and the hoisting force that moves the payload along the rope. In the first step to design the (mu)-optimal controller for the 3D overhead crane system, nonlinear equations of the system are linearized around the equilibrium point to obtain the transfer functions. Next, to ensure that the system performs well and is robust against uncertainties, efficient weight functions for both performance and uncertainty are calculated. Finally, the (mu)-optimal robust controller is designed using MATLAB’s Robust Control Toolbox, implementing the D-K iteration algorithm, and analyzing (mu)-plots. It is shown that not only does the proposed controller provide nominal stability and performance, but it also ensures robust stability and performance. The proposed controller is applied to the original nonlinear system and simulation results demonstrate that this controller satisfies the control objectives well and is also robust to severe parametric uncertainties and external disturbances. Moreover, this controller provides better results compared to a conventional sliding mode controller (SMC) and a second-order SMC, by applying much less control forces. Another advantage of the proposed controller is that, unlike the other two controllers, it does not need feedback from states at the speed level. Therefore, in practice, the proposed robust controller needs fewer and cheaper sensors.

本文使用合成法为带有起升机构的三维桥式起重机系统开发了一个鲁棒的()最优控制器。三维桥式起重机系统被建模为一个参数不确定的欠驱动五自由度(5DOFs)系统。系统只接收三个输入信号:两个使小车沿 (x) 和 (y) 轴移动的力,以及使有效载荷沿绳索移动的提升力。为三维桥式起重机系统设计最优控制器的第一步是围绕平衡点对系统的非线性方程进行线性化,以获得传递函数。接下来,为确保系统性能良好并对不确定性具有鲁棒性,计算出性能和不确定性的有效权重函数。最后,使用 MATLAB 的鲁棒控制工具箱设计出了((mu))最优鲁棒控制器,实现了 D-K 迭代算法,并分析了((mu))曲线图。结果表明,所提出的控制器不仅能提供额定稳定性和性能,还能确保鲁棒稳定性和性能。将所提出的控制器应用于原始非线性系统,仿真结果表明,该控制器能很好地满足控制目标,并且对严重的参数不确定性和外部扰动具有鲁棒性。此外,与传统的滑模控制器(SMC)和二阶 SMC 相比,该控制器的控制力要小得多,因此能提供更好的结果。所提控制器的另一个优点是,与其他两个控制器不同,它不需要速度级的状态反馈。因此,在实际应用中,拟议的鲁棒控制器需要的传感器更少,成本更低。
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引用次数: 0
Analysis of vibrational characteristics of all-composite honeycomb core sandwich panels: theoretical and experimental study 全复合蜂窝芯夹芯板振动特性分析:理论与实验研究
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-07-19 DOI: 10.1007/s11012-024-01855-6
Chu Chen, Xu Zhuo, Li Hui, Xu Pei-yao, Sun Xian-chao, Gu Da-wei, Hu Chang-cheng, Li He, Wen Bang-chun

Theoretical modeling is established for an all-composite honeycomb core sandwich panel (ACHCSP) using the higher-order shear deformation theory and Gibson equivalent theory. The central honeycomb layer is equivalently modeled as a thick layer of orthotropic material. The vibration characteristics are solved using energy methods and orthogonal polynomial approaches. Experimental specimens of ACHCSP are fabricated, and a dedicated experimental setup is constructed for vibration response testing. The experimental results validate the accuracy of the theoretical model in predicting the intrinsic properties and vibration response of ACHCSP. A comparison between experimental and theoretical vibration response values indicates a maximum error of 10.91%. Finally, the impact of different fiber layer thicknesses, honeycomb cell wall thicknesses, and honeycomb cell wall lengths on the vibration characteristics of ACHCSP is discussed.

利用高阶剪切变形理论和吉布森等效理论建立了全复合蜂窝芯夹芯板(ACHCSP)的理论模型。中央蜂窝层被等效模拟为一层厚的正交材料。振动特性采用能量法和正交多项式法求解。制作了 ACHCSP 的实验试样,并搭建了专用实验装置进行振动响应测试。实验结果验证了理论模型在预测 ACHCSP 固有特性和振动响应方面的准确性。实验和理论振动响应值的比较表明,最大误差为 10.91%。最后,讨论了不同纤维层厚度、蜂窝单元壁厚度和蜂窝单元壁长度对 ACHCSP 振动特性的影响。
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引用次数: 0
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