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Analysis of high Reynolds free surface flows 高雷诺数自由表面流动分析
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac036
D. Young, M. C. Lin, C. Tsai
In this paper, we will combine an upwind radial basis function-finite element with direct velocity–pressure formulation to study the two-dimensional Navier-Stokes equations with free surface flows. We will examine this formulation in an improved mixed-order finite element and localized radial basis function method. A particle tracking method and the arbitrary Lagrangian-Eulerian scheme will then be applied to simulate the two-dimensional high Reynolds free surface flows. An upwind improved finite element formulation based on a localized radial basis function differential quadrature (LRBFDQ) method is used to deal with high Reynolds number convection dominated flows. This study successfully obtained very high Reynolds number free surface flows, up to Re = 500 000. Finally, we will demonstrate and discuss the capability and feasibility of the proposed model by simulating two complex free surface flow problems: (1) a highly nonlinear free oscillation flow and (2) a large amplitude sloshing problem. Using even very coarse grids in all computing scenarios, we have achieved good results in accuracy and efficiency.
本文将迎风径向基函数-有限元与直接速度-压力公式相结合,研究具有自由表面流动的二维Navier-Stokes方程。我们将用一种改进的混合阶有限元和局部径向基函数方法来检验这个公式。然后采用粒子跟踪法和任意拉格朗日-欧拉格式来模拟二维高雷诺数自由表面流动。采用一种基于局部径向基函数微分正交(LRBFDQ)方法的迎风改进有限元公式来处理高雷诺数对流占主导地位的流动。本研究成功地获得了极高雷诺数的自由表面流动,最高可达Re = 50 000。最后,我们将通过模拟两个复杂的自由表面流动问题来证明和讨论所提出模型的能力和可行性:(1)高度非线性自由振荡流动和(2)大振幅晃动问题。即使在所有计算场景中使用非常粗糙的网格,我们也在精度和效率方面取得了良好的效果。
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引用次数: 2
Comparison between overall and respective electrical rectifications in array of piezoelectric energy harvesting 压电能量收集阵列整体整流与各自整流的比较
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac039
I. Lien, Y. Lo, S. Chiu, Y. C. Shu
The article compares two different electrical rectifications employed by a piezoelectric harvester array. The first type consists of parallel connection of harvesters followed by an AC–DC full-bridge rectifier for overall electrical rectification. The second type allows for respective electrical rectification of each individual harvester, and then connecting them all in parallel. The former exhibits stronger electromechanical coupling effect for enhancing output power. The latter is capable of avoiding charge cancelation for improving bandwidth. The analysis of the electromechanical response of these two types is provided with full derivations for the second case. The predictions of displacement and output power are compared with the experiment and the results show good agreement. Two recommendations are offered from the present studies. First, suppose the power dissipations due to voltage gaps across the rectifiers are insignificant compared with the amount of output power realized by each individual harvester. The piezoelectric harvester array with respective electrical rectification exhibits better performance than that with the overall rectification from the broadband point of view at the cost of reducing peak power. On the contrary, if the amount of power dissipations can not be neglected or the harvester exhibits the strongly coupled electromechanical response, it is recommended to employ the harvester array allowing the mixed parallel/series connections switched by DPDT (Double-Pole Double-Throw). The array of the mixed type with overall electrical rectification exhibits performance significantly outperforming the array with respective electrical rectification from the point of view of broadband and power enhancement.
本文比较了压电采集器阵列所采用的两种不同的电整流。第一种类型包括采集器的并联,然后是交流-直流全桥整流器,用于整体电气整流。第二种类型允许对每个单独的收割机进行各自的电气整流,然后将它们并联起来。前者具有较强的机电耦合效应,可提高输出功率。后者能够避免费用取消,以提高带宽。对这两种情况的机电响应分析给出了第二种情况的完整推导。将预测的位移和输出功率与实验结果进行了比较,结果吻合较好。从目前的研究中提出了两条建议。首先,假设由于整流器电压间隙造成的功率损耗与每个单独采集器实现的输出功率相比微不足道。从宽带角度来看,分别电整流的压电收割机阵列表现出比整体整流更好的性能,但代价是降低峰值功率。相反,如果功耗不能忽略,或者收割机表现出强耦合的机电响应,则建议采用收割机阵列,允许通过DPDT(双极双掷)切换混合并联/串联连接。从宽带和功率增强的角度来看,具有整体电整流的混合型阵列的性能明显优于具有各自电整流的阵列。
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引用次数: 2
Interaction of circular cavity and crack near anisotropic bi-material interface under SH-waves incidence sh波入射下各向异性双材料界面附近圆腔与裂纹的相互作用
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac050
Jian-wei Zhang, Guoguan Lan, Shui-mei Chen, Hua-nan Xu, Zai-lin Yang
An anisotropic bi-material interface with a circular hollow and a crack was used to explore the scattering of SH waves using complex variables and Green's function techniques. A horizontal interface in a bi-material media forms an elastic anisotropic half-space with a circular cavity and a linear crack, whereas the other half-space is an elastic isotropic half-space. The Green's function approach is used to derive the relevant Green's functions, which are then used in the “crack division” procedure to create a crack. During the joining of the two pieces, unknown anti-plane forces are applied to the horizontal surfaces to ensure the interface maintains its continuity criteria. For weakly singular integral equations, Fredholm integral equations are inferred and solved using the direct discrete technique. The simulation results were represented graphically to show how different parameters affect the influence of dynamic stress concentration factors around the cavity and dynamic stress intensity factors toward the crack tip. For example, a cavity's wave number and angle of incidence, as well as the distance between the cavity's center and its horizontal interface and its radius, are all elements that must be taken into consideration.
利用复变量和格林函数技术,研究了具有圆形空心和裂纹的各向异性双材料界面对SH波散射的影响。双材料介质的水平界面形成了具有圆形空腔和线性裂纹的弹性各向异性半空间,而另半空间则是弹性各向同性半空间。格林函数方法用于推导相关的格林函数,然后在“裂缝划分”过程中使用这些格林函数来创建裂缝。在两件连接过程中,未知的反平面力被施加到水平面上,以确保界面保持其连续性准则。对于弱奇异积分方程,推导了Fredholm积分方程,并采用直接离散技术求解。模拟结果以图形形式展示了不同参数对空腔周围动应力集中因子和裂纹尖端动应力强度因子的影响。例如,空腔的波数和入射角,以及空腔中心到其水平界面的距离和半径,都是必须考虑的因素。
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引用次数: 1
Experimental study on erosion and wear law of metal screen under spraying condition 喷淋条件下金属筛网冲蚀磨损规律试验研究
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac004
Ruomeng Ying, Xuankang Zhao, Baocheng Shi, Lijuan Wu, X. Zhang, Ziheng Jiang, Xiaochi Guo
It is very important for the safe production of sand producing oil and gas wells to make clear the erosion law of sand control screen pipe. The experiment of erosion law of metal mesh under two working conditions of blockage and non-blockage was carried out with jet erosion experimental device. The influencing factor of solid mass fraction (0.3%, 0.5%, and 0.8%), aperture velocity (1.5 m/s, 4 m/s, and 6 m/s) and particle size (20 μm, 54 μm, and 74 μm) on the erosion rate of metal mesh was analyzed. The results show that the mass loss of screen increases with the increase of solid mass fraction, aperture velocity and particle size, and the change law of single and double screens is consistent; under the condition of incomplete blockage, the mass loss of screen increases exponentially with the flow rate; under the condition of complete blockage, the balance flow rate of screen decreases with the increase of pressure difference when the pressure difference between inlet and outlet of screen is kept constant. In addition, the mass loss increases with the increase of pressure difference; in addition, the scanning electron microscope results of the erosion screen show that the erosion wear of the screen under the non-blocking condition is much less than that under the blocking condition, which is because the gap between the weft wires of the screen is blocked by particles, resulting in the rapid increase of the local aperture velocity of the screen, thus accelerating the local erosion wear of the screen.
弄清防砂筛管的侵蚀规律,对出砂油气井的安全生产至关重要。利用射流冲蚀实验装置,对金属网在堵塞和不堵塞两种工况下的冲蚀规律进行了实验研究。分析了固体质量分数(0.3%、0.5%和0.8%)、孔径速度(1.5 m/s、4 m/s和6 m/s)和粒径(20 μm、54 μm和74 μm)对金属网侵蚀速率的影响因素。结果表明:筛网的质量损失随固体质量分数、孔径速度和粒度的增加而增加,且单筛和双筛的变化规律一致;在不完全堵塞条件下,筛管的质量损失随流量呈指数增长;在完全堵塞的情况下,当筛进出口压差一定时,筛的平衡流量随着压差的增大而减小。质量损失随压差的增大而增大;此外,冲蚀筛网的扫描电镜结果显示,非阻塞条件下筛网的冲蚀磨损远小于阻塞条件下的冲蚀磨损,这是由于筛网纬丝之间的间隙被颗粒堵塞,导致筛网的局部孔径速度迅速增加,从而加速了筛网的局部冲蚀磨损。
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引用次数: 2
An accurate strategy for computing reaction forces and fluxes on trimmed locally refined meshes 一种精确的计算反作用力和局部精细化网格通量的策略
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac006
Davide D’Angella, S. Kollmannsberger, A. Reali, E. Rank, T. Hughes
The finite element method is classically based on nodal Lagrange basis functions defined on conforming meshes. In this context, total reaction forces are commonly computed from the so-called “nodal forces”, yielding higher accuracy and convergence rates than reactions obtained from the differentiated primal solution (“direct” method). The finite cell method and isogeometric analysis promise to improve the interoperability of computer-aided design and computer-aided engineering, enabling a direct approach to the numerical simulation of trimmed geometries. However, body-unfitted meshes preclude the use of classic nodal reaction algorithms. This work shows that the direct method can perform particularly poorly for immersed methods. Instead, conservative reactions can be obtained from equilibrium expressions given by the weak problem formulation, yielding superior accuracy and convergence rates typical of nodal reactions. This approach is also extended to non-interpolatory basis functions, such as the (truncated) hierarchical B-splines.
传统的有限元方法是基于在协调网格上定义的节点拉格朗日基函数。在这种情况下,总反作用力通常从所谓的“节点力”计算,比从微分原始解(“直接”法)得到的反应产生更高的准确性和收敛速度。有限单元法和等几何分析有望提高计算机辅助设计和计算机辅助工程的互操作性,从而直接实现裁剪几何形状的数值模拟。然而,体不拟合网格排除了经典节点反应算法的使用。这项工作表明,直接法对浸入法的效果特别差。相反,保守反应可以从弱问题公式给出的平衡表达式中得到,具有较高的精度和典型的节点反应的收敛速度。这种方法也被扩展到非插值基函数,如(截断的)分层b样条。
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引用次数: 4
Weight functions for an array of collinear cracks in an infinite anisotropic elastic plate 无限各向异性弹性板中共线裂纹阵列的权函数
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac011
Kuang-Chong Wu, Shyh-Haur Chen
Weight functions are provided for calculating the stress intensity factors for collinear cracks in an infinite anisotropic elastic plate. The number of cracks as well as the length of the cracks are arbitrary. The weight functions are for crack-face loading, which may be non-self-equilibrium. It is shown that for self-equilibrium loading, the weight functions are independent of elastic constants. For non-self-equilibrium loading, however, an additional constant term that is material-dependent appears.
给出了计算无限各向异性弹性板共线裂纹应力强度因子的权函数。裂缝的数量和长度都是任意的。权函数适用于裂纹面荷载,可能是非自平衡荷载。结果表明,对于自平衡荷载,权函数与弹性常数无关。然而,对于非自平衡载荷,出现了一个与材料相关的附加常数项。
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引用次数: 1
Computational flow analysis with boundary layer and contact representation: II. Heart valve flow with leaflet contact 边界层与接触表示的计算流分析[j]。心脏瓣膜流动与小叶接触
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac013
Takuya Terahara, T. Kuraishi, K. Takizawa, T. Tezduyar
In this second part of a two-part article, we provide an overview of the heart valve flow analyses conducted with boundary layer and contact representation, made possible with the space–time (ST) computational methods described in the first part. With these ST methods, we are able to represent the boundary layers near moving solid surfaces, including the valve leaflet surfaces, with the accuracy one gets from moving-mesh methods and without the need for leaving a mesh protection gap between the surfaces coming into contact. The challenge of representing the contact between the leaflets without giving up on high-resolution flow representation near the leaflet surfaces has been overcome. The other challenges that have been overcome include the complexities of a near-actual valve geometry, having in the computational model a left ventricle with an anatomically realistic motion and an aorta from CT scans and maintaining the flow stability at the inflow of the ventricle-valve-aorta sequence, where we have a traction boundary condition during part of the cardiac cycle.
在由两部分组成的文章的第二部分中,我们概述了使用边界层和接触表示进行的心脏瓣膜流动分析,这使得第一部分中描述的时空(ST)计算方法成为可能。通过这些ST方法,我们能够表示移动固体表面附近的边界层,包括阀门叶片表面,具有从移动网格方法获得的精度,并且不需要在接触的表面之间留下网格保护间隙。在不放弃小叶表面附近的高分辨率流表示的情况下表示小叶之间接触的挑战已经克服。已经克服的其他挑战包括接近实际的瓣膜几何结构的复杂性,在计算模型中有一个具有解剖学上真实运动的左心室和CT扫描的主动脉,并保持心室-瓣膜-主动脉序列流入的流量稳定性,在心脏周期的一部分我们有牵引边界条件。
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引用次数: 13
Research on a model-based burst pressure prediction method for pipelines with corrosion defects 基于模型的含腐蚀缺陷管道爆破压力预测方法研究
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac024
Hongming Zhou, Peiyuan Li, Longfei Wu
The leakage of pipelines will cause serious harm to the human living environment. To meet the safety assessment requirement for pipelines, a pipeline burst pressure prediction method based on a parametric model is proposed. The parameters of the model include defect size, pipeline size and material properties. First, the relationship between the defect size and the burst pressure was studied by finite element analysis, and the parametric model was deduced according to the analysis results. Second, the undetermined coefficients of the model were obtained using the improved genetic algorithm. Last, comparisons of the test burst pressures with those predicted by the proposed model and three standard assessment methods were carried out. The results show that the predicted model is more reliable than the existing pipeline assessment codes.
管道泄漏会对人类生存环境造成严重危害。为满足管道安全评价要求,提出了一种基于参数模型的管道爆裂压力预测方法。模型参数包括缺陷尺寸、管道尺寸和材料性能。首先,通过有限元分析研究了缺陷尺寸与破裂压力之间的关系,并根据分析结果推导了参数化模型;其次,利用改进的遗传算法得到模型的待定系数;最后,将试验爆破压力与模型预测值和三种标准评价方法进行了比较。结果表明,该预测模型比现有的管道评价规范更可靠。
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引用次数: 0
An experimental study on the torsional stiffness and limit torque of a jaw coupling with consideration of spacer's hardness and installation methods 考虑垫片硬度和安装方法的颚式联轴器抗扭刚度和极限转矩试验研究
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac018
Chih-Ming Chen, Huey-Ling Chang, Chun-Ying Lee
The jaw coupling with a flexible spacer is frequently used in the torque transmission between shafts with misalignment for machinery. Its torsional stiffness and limit torque closely determine the operational capacity and the dynamic characteristics of the system because the coupling is usually the most flexible link in the driving chain. In this study, the optimal design of a jaw coupling with an elastomeric spacer was investigated using the Taguchi method by considering four design factors: the tightening method of the clamping bolts, the tightening torque of the clamping bolts, the hardness of the thermoplastic polyether ester elastomer spacer and the installation angle between the two end blocks of the coupling. All specimens were tested by using an in-house torsion tester to record the torque-angular deformation responses. The results showed good reliability and repeatability, with a coefficient of variance within 5%. Spacer's hardness was found to be the most significant factor regarding the torsional stiffness, while the magnitude of the clamping torque had the most critical role in the limit torque. The estimation formulae for the torsional stiffness and limit torque of the jaw coupling were obtained by using the statistical regression of the measured data, respectively. Both formulae predicted the performance of the optimal designs within 5% of error compared to the confirmation tests.
带柔性垫片的颚式联轴器是机械偏心轴间扭矩传递中常用的一种联轴器。联轴器通常是传动链中最灵活的环节,其抗扭刚度和极限转矩密切决定着系统的运行能力和动态特性。通过考虑夹紧螺栓的紧固方式、夹紧螺栓的紧固力矩、热塑性聚醚酯弹性体垫片的硬度以及联轴器两端块的安装角度等4个设计因素,采用田口法对带弹性体垫片的颚式联轴器进行了优化设计。所有试件均采用内部扭振仪进行测试,记录扭矩-角变形响应。结果具有良好的信度和重复性,方差系数在5%以内。研究发现,隔片硬度对隔片扭转刚度的影响最为显著,夹紧力矩的大小对隔片扭转刚度的影响最为关键。通过对实测数据的统计回归,分别得到了爪形联轴器扭转刚度和极限扭矩的估计公式。与确认试验相比,两个公式预测的最佳设计性能误差在5%以内。
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引用次数: 0
Tuning the roughness of aluminum surfaces for superrepellency and absorptivity 调整铝表面的粗糙度,以获得超强的拒水性和吸水性
IF 1.7 4区 工程技术 Q2 Mathematics Pub Date : 2022-01-01 DOI: 10.1093/jom/ufac020
Chun-Ti Chang, Andrew J Bhak, Daniel J Hanggi, Kayla M Kemler, Arnav S. Malkani, Edward W Kang
Superrepellent surfaces are known to be made by surface roughening. However, optimizing roughness solely for non-wetting and low hysteresis, which promotes self-cleaning, typically occurs at a cost to other properties. The other property, considered here as illustrative, is energy absorption from impinging sunlight. Roughness can be tuned for self-cleaning or alternatively for energy absorption, yet the roughness scales for superrepellency and absorptivity do not align cooperatively. Demonstrated here are a twin of simple fabrication methods that tune aluminum surfaces for good self-cleaning and for solar energy absorption. Our results show that superrepellency is favored by roughness scales of microns or smaller alone. On the other hand, roughness of a few microns to tens of microns significantly improves absorption. Our characterizations of surfaces made by the two methods demonstrate how tuning microscale roughness trades superrepellency for absorptivity. The surfaces are robust and the fabrication method is economical. Solar heat harvesting applications may benefit.
众所周知,超级拒水表面是通过表面粗化制成的。然而,仅仅为了不润湿和低迟滞而优化粗糙度,以促进自清洁,通常会以牺牲其他性能为代价。作为说明,这里考虑的另一个特性是对入射阳光的能量吸收。粗糙度可以调整为自清洁或替代的能量吸收,但粗糙度尺度超排斥和吸收不协调对齐。这里展示的是一种简单的制造方法,可以调整铝表面,使其具有良好的自清洁性和太阳能吸收性。我们的研究结果表明,仅微米或更小的粗糙度尺度就有利于超驱避。另一方面,几微米到几十微米的粗糙度显著改善吸收。我们对两种方法制成的表面的表征表明,调整微尺度粗糙度是如何用超拒性换取吸收率的。表面坚固,制造方法经济。太阳能热收集应用可能会受益。
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引用次数: 0
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Journal of Mechanics
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