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Investigation of double-volute balancing in centrifugal pumps 离心泵双涡流平衡研究
IF 2.7 3区 工程技术 Q3 MECHANICS Pub Date : 2024-08-23 DOI: 10.1007/s11012-024-01870-7
Ali Kibar, Kadri Suleyman Yigit

This study investigates the effect of radial hydraulic forces on low-specific-speed centrifugal pump bearings and assesses the effectiveness of the double-volute balancing technique in mitigating these forces. Numerical simulations were conducted on centrifugal pumps with both single- and double-volute designs. Experimental validation confirmed the numerical findings, establishing the technique's efficacy. Additionally, while size limitations often restrict the use of double-volutes in small pumps, their potential benefits and encouragement for further exploration are discussed for these applications, highlighting the significance of the double-volute arrangement in designing and operating high-pressure radial-flow centrifugal pumps. The simulations demonstrated a notable decrease in the radial hydraulic forces with the implementation of the double-volute configuration. Consequently, adopting a double-volute centrifugal pump design resulted in a substantial reduction in the impeller-induced forces and forces exerted on the bearings, leading to an approximate 45% decrease in the hydraulic radial forces. This result explains the significant reduction in impeller-induced and bearing forces.

本研究探讨了径向液压力对低速离心泵轴承的影响,并评估了双渐开线平衡技术在减轻这些力方面的效果。对采用单涡旋和双涡旋设计的离心泵进行了数值模拟。实验验证证实了数值结果,确定了该技术的有效性。此外,虽然尺寸限制往往限制了双蜗杆在小型泵中的使用,但讨论了其潜在的好处,并鼓励进一步探索这些应用,强调了双蜗杆布置在设计和操作高压径向流离心泵中的重要性。模拟结果表明,采用双蜗壳结构后,径向水力明显减小。因此,采用双涡流离心泵设计可大幅降低叶轮感应力和施加在轴承上的力,从而使径向液压力降低约 45%。这一结果解释了叶轮感应力和轴承力大幅降低的原因。
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引用次数: 0
Exact free vibration analysis of generalized multi-step Timoshenko beams coupled with spring-supported rigid bodies 与弹簧支撑刚体耦合的广义多阶季莫申科梁的精确自由振动分析
IF 2.7 3区 工程技术 Q3 MECHANICS Pub Date : 2024-08-23 DOI: 10.1007/s11012-024-01871-6
Zhengquan Liu, Guoping Wang, Xiaoting Rui, Jianshu Zhang, Lilin Gu

This paper presents a linear version of the reduced multibody system transfer matrix method, specifically designed for the exact analysis of free vibrations in hybrid models composed of Timoshenko beams, rigid bodies, and springs. The method is flexible, designed to handle various boundary conditions and any combination of beams, rigid bodies, and springs. We treat each beam segment and spring-supported rigid body as independent elements. Thus, viewing the overall model as a chain system simplifies the analysis. The essence of this method is the recursive transfer of mechanical information between elements, which is contained in the reduced transfer equations. The reduced transfer equations for the spring-supported rigid bodies and Timoshenko beams are derived in detail. The accuracy, high precision, and higher-order modal analysis capabilities of this method are validated through numerical examples. Furthermore, the improvement of the numerical stability by the segmentation strategy is analyzed, and the orthogonality between the augmented eigenvectors is proved mathematically and numerically. The concise, structured and highly programmable greatly simplifies the process of handling complex hybrid systems containing any number of Timoshenko beams and rigid bodies.

本文介绍了还原多体系统传递矩阵法的线性版本,专门设计用于精确分析由 Timoshenko 梁、刚体和弹簧组成的混合模型的自由振动。该方法设计灵活,可处理各种边界条件以及梁、刚体和弹簧的任意组合。我们将每个梁段和弹簧支撑刚体视为独立元素。因此,将整体模型视为一个链式系统简化了分析。这种方法的精髓在于元素之间机械信息的递归传递,这些信息包含在简化传递方程中。本文详细推导了弹簧支撑刚体和季莫申科梁的简化传递方程。通过数值实例验证了该方法的准确性、高精度和高阶模态分析能力。此外,还分析了分段策略对数值稳定性的改善,并从数学和数值上证明了增强特征向量之间的正交性。这种简洁、结构化和高度可编程的方法大大简化了处理包含任意数量季莫申科梁和刚体的复杂混合系统的过程。
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引用次数: 0
Phase field modeling of crack propagation in structures under tensile stress 拉应力下结构裂纹扩展的相场建模
IF 2.7 3区 工程技术 Q3 MECHANICS Pub Date : 2024-08-20 DOI: 10.1007/s11012-024-01869-0
Chaima Mastouri, Ahmed Frikha, Radhi Abdelmoula

This paper presents a numerical implementation of phase field models in structures subjected to tensile stress in both quasi-static and dynamic fracture cases. It focuses on the AT1 model and the phase field regularized cohesive zone model (PF-CZM) to compare their performance. Within these models, we focus on implementing the irreversibility condition using the penalization method rather than (Miehe et al. in Comput Methods Appl Mech Eng 199(45–48):2765–2778, 2010. https://doi.org/10.1016/j.cma.2010.04.011)’s “History field” method. Moreover, we employed a staggered algorithmic implementation due to its proven robustness. Numerical simulations were conducted using the multi-physic finite element code, COMSOL Multiphysics. The geometries analyzed include a notched and un-notched confined beam under stretching load and a ring under internal pressure. The originality of this work is presented in two parts. The first part consists in the implementation of the penalization technique within COMSOL Multiphysics. Then we investigated the effects of parameters like cohesive softening laws, notch depth and shape, mesh sensitivity, and length scale sensitivity on the confined beam responses. The second part of this manuscript consists in studying the dynamic fragmentation of a ring under internal pressure. A new solution is proposed to capture crack nucleation and propagation without randomizing material parameters.

本文介绍了在准静态和动态断裂情况下,相场模型在受拉应力结构中的数值应用。本文重点关注 AT1 模型和相场正则化内聚区模型(PF-CZM),以比较它们的性能。在这些模型中,我们重点使用惩罚法而非(Miehe 等人,载于 Comput Methods Appl Mech Eng 199(45-48):2765-2778, 2010. https://doi.org/10.1016/j.cma.2010.04.011)的 "历史场 "法来实现不可逆条件。此外,由于交错算法的稳健性已得到证实,我们采用了这种算法。我们使用多物理有限元代码 COMSOL Multiphysics 进行了数值模拟。分析的几何形状包括拉伸载荷下的有缺口和无缺口约束梁,以及内部压力下的环。这项工作的独创性分为两个部分。第一部分是在 COMSOL Multiphysics 中实施惩罚技术。然后,我们研究了内聚软化规律、缺口深度和形状、网格敏感性和长度尺度敏感性等参数对约束梁响应的影响。本手稿的第二部分是研究环在内部压力下的动态碎裂。我们提出了一种新的解决方案来捕捉裂纹的成核和扩展,而无需对材料参数进行随机化。
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引用次数: 0
Assessment of the material properties effect on the response of Morrow’s Model for estimating the dissipation of energy in fatigue of metals 评估材料特性对用于估算金属疲劳能量耗散的莫罗模型响应的影响
IF 2.7 3区 工程技术 Q3 MECHANICS Pub Date : 2024-08-16 DOI: 10.1007/s11012-024-01868-1
Víctor I. Rodríguez-Reyes, Arturo Abúndez-Pliego, Oscar Fernando Oliveros-Riego

Morrow’s model has been widely used in recent years as part of new methodologies for assessing the fatigue life of metallic materials through the laws of thermodynamics. It is used to quantify the rate of dissipated energy in the fatigue process, represented by the hysteresis loop of the stress–strain diagram of the material. Then, the dissipated energy is used to quantify the entropy generation of the fatigue process. Morrow’s model is a function of the amplitude of the cyclic loading, and a few constants that represent material properties. However, despite its apparent simplicity, the material properties, when are experimentally obtained, usually exhibit dispersions that can lead to inaccurate calculations. In this work, the sensitivity of Morrow’s model to the variability of these parameters is evaluated. In order to assess the sensitivity, a constant amplitude value was set, and the quotient ({{sigma }_f^{'}}/{{sigma }_U}), the fatigue strength coefficient (sigma_f^{'}), the fatigue ductility coefficient ({ epsilon_f^{'}}) and the cyclic strain hardening exponent (n^{'}) were varied. A factorial design was conducted to determine the effects of the interactions of the material parameters on the response of Morrow’s model. The results showed that Morrow’s model is strongly sensitive to the above mentioned parameters, affecting its accuracy. In an extended case study, the fatigue fracture entropy and the fatigue life of Al2024-T3 were determined using material parameters from different sources in order to determine the influence of the material parameters in the assessment of the estimation of fatigue damage. The study allowed concluding that a meticulous statistical treatment is required when characterizing the material properties and the design engineer must be aware of possible inaccuracies if Morrow’s model is used for estimating fatigue life, specially in the new thermodynamic approaches.

近年来,莫罗模型被广泛应用于通过热力学定律评估金属材料疲劳寿命的新方法中。该模型用于量化疲劳过程中的能量耗散率,由材料应力应变图的滞后环路表示。然后,耗散的能量被用来量化疲劳过程中产生的熵。莫罗模型是循环加载振幅和一些代表材料特性的常数的函数。然而,尽管其表面上看似简单,但从实验中获得的材料特性通常会表现出分散性,从而导致计算结果不准确。在这项工作中,我们评估了莫罗模型对这些参数变化的敏感性。为了评估敏感性,设定了一个恒定的振幅值,并改变了商数({{sigma }_f^{'}}/{{sigma }_U})、疲劳强度系数(sigma_f^{'})、疲劳延性系数({epsilon_f^{'}})和循环应变硬化指数(n^{'})。进行了因子设计,以确定材料参数的相互作用对 Morrow 模型响应的影响。结果表明,Morrow 模型对上述参数非常敏感,影响了其准确性。在一项扩展案例研究中,使用不同来源的材料参数确定了 Al2024-T3 的疲劳断裂熵和疲劳寿命,以确定材料参数对疲劳损伤评估的影响。研究得出的结论是,在确定材料特性时需要进行细致的统计处理,如果使用莫罗模型估算疲劳寿命,特别是在新的热力学方法中,设计工程师必须注意可能出现的误差。
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引用次数: 0
Preface of: new approaches in bio-computational-material mechanics 序言:生物计算材料力学的新方法
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-08-12 DOI: 10.1007/s11012-024-01866-3
Sonia Marfia, Giovanni Noselli, Vincenzo Parenti Castelli, Aurora Angela Pisano
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引用次数: 0
Dynamic analysis of a cable model subjected to both vortex-induced excitation and axial support motion 对同时受到涡流激励和轴向支撑运动影响的电缆模型进行动态分析
IF 2.7 3区 工程技术 Q3 MECHANICS Pub Date : 2024-08-12 DOI: 10.1007/s11012-024-01861-8
Yunyue Cong, Houjun Kang, Tieding Guo, Xiaoyang Su

Large amplitude vibration of transmission line seriously affects the structural safety. Due to the low bending stiffness of superhigh transmission tower, vortex-induced excitation combining with support motion induced by the tower will cause significant complex dynamic behaviors of the transmission line. To reveal dynamic behaviors, this paper newly proposes a suspended cable model of the transmission line subjected to the boundary motion and vortex-induced vibration. Dynamic mechanism and vibration energy transfer are focused in the condition of primary and subharmonic resonances. Innovative behaviors of the transmission line under two excitations are revealed. Firstly, vortex-induced excitation is very weak and support motion usually plays a dominate role in the dynamic responses. Large amplitude vibration of transmission line observed in practice should be caused more by tower tip motion and the vortex-induced vibration is the incentive. Secondly, different weak support motion can cause different effect on dynamic responses of transmission line under vortex-induced vibration reflecting by different lock-in phenomenon, which leads us the application of active control measure in engineering.

输电线路的大振幅振动严重影响结构安全。由于超高输电铁塔的弯曲刚度较低,涡流引起的激振与铁塔引起的支撑运动相结合,将导致输电线路出现明显的复杂动态行为。为了揭示输电线路的动态行为,本文新提出了一个受边界运动和涡流诱导振动影响的输电线路悬索模型。重点研究了主谐振和次谐振条件下的动力机制和振动能量传递。揭示了输电线在两种激励下的创新行为。首先,涡流引起的激励非常微弱,支撑运动通常在动态响应中起主导作用。实际观察到的输电线路大振幅振动应更多地由塔尖运动引起,而涡流诱导振动则是诱因。其次,不同的微弱支撑运动会对输电线路在涡激振动下的动态响应产生不同的影响,反映出不同的锁定现象,这就促使我们在工程中应用主动控制措施。
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引用次数: 0
Effect of nonhomogeneity on compression of solid circular cylinders made of functionally graded incompressible neo-Hookean materials 非均质性对功能分级不可压缩新胡肯材料实心圆柱体压缩的影响
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-08-08 DOI: 10.1007/s11012-024-01852-9
Fatsah Mendil, Hocine Bechir, Mounir Methia

We investigate the influence of elastic nonhomogeneity on compression of solid circular cylinders made of incompressible functionally graded neo-Hookean materials. The shear modulus is assumed varying in the axial direction. The fixed–fixed conditions are considered, i.e. two rigid platens are fixed to ends of sample surfaces. We transform the balance equations into ordinary differential equations (ODE) which are solved numerically. Based on, we investigate lateral deformed profiles of a solid circular cylinder. Furthermore, we compute von-Mises stress that governs the possible failure of the material.

我们研究了弹性非均质性对由不可压缩的功能分级新胡肯材料制成的实心圆柱体压缩的影响。假设剪切模量在轴向变化。考虑了固定-固定条件,即两个刚性压板固定在试样表面的两端。我们将平衡方程转化为常微分方程(ODE),并对其进行数值求解。在此基础上,我们研究了实心圆柱体的横向变形轮廓。此外,我们还计算了决定材料可能失效的 von-Mises 应力。
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引用次数: 0
A variational model for finger-driven cell diffusion in the extracellular matrix 细胞外基质中手指驱动细胞扩散的变分模型
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-08-07 DOI: 10.1007/s11012-024-01835-w
Antonino Favata, Andrea Rodella, Stefano Vidoli

We present a simple chemo-mechanical variational model for a fibrous material that describes (i) the emergence of the anisotropy due to microscopic buckling instabilities (ii) a diffusion in the substrate of the cell phase driven by the new created macroscopic bands characterized by intense compressive deformation. The model is applicable for simulating the spreading of cells within tissues and their interaction with tissue remodeling during mesenchymal migration.

我们为纤维材料提出了一个简单的化学机械变分模型,该模型描述了:(i)由于微观屈曲不稳定性而出现的各向异性;(ii)在新创建的宏观带的驱动下,以强烈压缩变形为特征的细胞相在基底中的扩散。该模型适用于模拟细胞在组织内的扩散及其在间充质迁移过程中与组织重塑的相互作用。
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引用次数: 0
Surface wave generation from a constant-slope-inducing asymmetric ocean floor motion: influence of compressible ocean 恒定坡度诱发非对称洋底运动产生的面波:可压缩海洋的影响
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-08-05 DOI: 10.1007/s11012-024-01863-6
Ritika Das, Santu Das

Ocean surface wave profile due to the movement of an asymmetric (sloping) block of the ocean floor is analytically derived under the assumption of linearized water wave theory and by using the Fourier transformation method. A slight compressibility of the ocean water allows for generating acoustic-gravity modes that travel much faster than tsunami waves, the detection of which can contribute towards a possible warning mechanism. The influence of different parameters of interest, namely ocean depth, length, and slope of the block, on the surface wave profile is shown in the frequency domain. Finally, the frequency-domain solution is utilized to provide the surface profile in the time domain. The stationary phase approximation is applied to extract the far-field behavior of the surface waves. The individual impact of the acoustic-gravity and pure gravity modes is shown. Due to the asymmetry of the bottom motion, two different types of far-fields in opposite directions of each other from the source of initial ocean floor motion are obtained. The classical solutions of horizontal and flat moving ocean floors studied by Yamamoto (DOI:https://doi.org/10.1016/0261-7277(82)90016-X) in the frequency domain and Stiassnie (DOI: https://doi.org/10.1007/s10665-009-9323-x) in the time-domain are recovered as special cases. The envelope amplitude of the far-field surface fluctuates less when slope exists. The contributions from the acoustic-gravity modes in the far-field surface amplitude in the opposite directions are in opposite phases. The pure-gravity mode contribution is higher towards the direction of increasing slope with more oscillation. These results show insight into the surface profile when a submarine earthquake moves the ocean floor asymmetrically, and they could lead to a possible estimation of the fault geometry. These results can also be utilized to approximate arbitrary bottom movement using superposition of piece-wise asymmetric moving ocean floor arranged in a line and may provide important information for early tsunami detection mechanisms in the future.

在线性化水波理论的假设下,利用傅立叶变换方法,分析推导出了海底不对称(倾斜)区块运动所产生的海洋表面波剖面图。海水的轻微可压缩性允许产生比海啸波传播快得多的声重力模式,对这种模式的探测有助于建立可能的预警机制。在频域中显示了不同相关参数(即海洋深度、长度和区块坡度)对表面波剖面的影响。最后,利用频域解法提供时域表面剖面图。静止相近似用于提取表面波的远场行为。图中显示了声重力模式和纯重力模式的各自影响。由于海底运动的不对称性,得到了与初始海底运动源方向相反的两种不同类型的远场。Yamamoto (DOI:https://doi.org/10.1016/0261-7277(82)90016-X) 在频域和 Stiassnie (DOI: https://doi.org/10.1007/s10665-009-9323-x) 在时域研究的水平和平坦运动海底的经典解作为特例得到了恢复。当斜率存在时,远场表面的包络振幅波动较小。声重力模式对远场表面振幅的贡献方向相反,相位也相反。纯重力模式的贡献在斜率增加的方向上更大,振荡也更多。这些结果表明,当海底地震使海底发生非对称移动时,可以洞察到海面剖面,并可据此估算出断层的几何形状。这些结果还可用于利用排列成一条线的片状非对称移动海底的叠加来近似估计任意的海底运动,并可能为未来的早期海啸探测机制提供重要信息。
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引用次数: 0
Sensitivity to entrance conditions of wall shear stress in a curved vessel 弯曲容器内壁剪应力对入口条件的敏感性
IF 2.7 3区 工程技术 Q3 MECHANICS Pub Date : 2024-08-04 DOI: 10.1007/s11012-024-01844-9
Yuling Chen, Xavier Escriva, Thomas Castelain, Patrick Feugier, Bruno Gilles, Jean-Christophe Béra

This study aims to numerically investigate the impact of entrance velocity distributions on wall shear stress in a simplified curved vessel model. The flow in a single-curved vessel is simulated with Reynolds numbers adjusted to a Newtonian blood-analog fluid in an external iliac artery (EIA) model. Simulations are conducted assuming a rigid wall and a steady-state flow regime using OpenFOAM®. Eight entry velocity conditions are implemented, including the effects of flow development, asymmetry, Dean-type secondary flow and rotation. Their influences on hemodynamics features are investigated, focusing on axial wall shear stress (WSS). In the examined configurations of EIA flow, the impact of entrance conditions on WSS distribution is moderate. The maximum WSS is consistently located at the bend exit on the outer wall, except in the case mimicking an upstream curved pipe in the opposite direction of the local curvature. While the entry condition affects the maximum WSS value, this value remains within the same order of magnitude. At (Re=560), the highest WSS value is given by the Poiseuille condition and reaches 4.9 times the value of the laminar straight flow. At (Re=1100), the maximum value provided by the Dean-type condition, particularly in the case mimicking an upstream curved pipe perpendicular to the local curvature, reaching 7.1 times the laminar straight flow, which exceeds the value of the Poiseuille condition by 17%. The results suggest that, to capture extreme WSS value, opting for Poiseuille flow as the entrance condition is a good choice for further studies on EIA flow. It has to be noted that results presented here tend to confirm the link established between exaggerated WSS and the endofibrosic plaque development.

本研究旨在对简化弯曲血管模型中入口速度分布对管壁切应力的影响进行数值研究。在髂外动脉(EIA)模型中,使用调整为牛顿血液模拟流体的雷诺数模拟单曲面血管中的流动。模拟使用 OpenFOAM® 进行,假定血管壁是刚性的,流动状态是稳定的。实施了八种进入速度条件,包括流动发展、不对称、迪安型二次流和旋转的影响。研究了它们对血液动力学特征的影响,重点是轴向壁剪应力(WSS)。在所研究的 EIA 流动配置中,入口条件对 WSS 分布的影响不大。最大 WSS 始终位于外壁的弯管出口处,但模仿与局部曲率方向相反的上游弯曲管道的情况除外。虽然入口条件会影响最大 WSS 值,但该值仍保持在同一数量级内。在(Re=560)时,最高 WSS 值由 Poiseuille 条件给出,达到层流直流值的 4.9 倍。在 (Re=1100) 条件下,迪安型条件提供的最大值,尤其是在模拟垂直于局部曲率的上游弯曲管道的情况下,达到了层流直流的 7.1 倍,比普瓦伊莱条件的值高出 17%。结果表明,要捕捉 WSS 的极值,选择 Poiseuille 流作为入口条件是进一步研究 EIA 流的良好选择。必须指出的是,本文提出的结果倾向于证实夸大的 WSS 与内纤维斑块发展之间的联系。
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引用次数: 0
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