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3D Numerical Cross-Section Analysis of a Tapered Beam Slice 锥形梁片的 3D 数值截面分析
IF 1.3 4区 工程技术 Q2 Engineering Pub Date : 2024-03-22 DOI: 10.1007/s40997-024-00757-y

Abstract

Cross-section analysis is an important tool used to recover stresses and strains in a structure at specific cross-sections of arbitrary geometries, without the need for a full 3D model. This is particularly essential for large-scale structures such as aircrafts, wind turbine blades, etc. where making a full model can be computationally very expensive or impractical. The majority of currently available cross-section analysis frameworks are based on stepwise prismatic assumptions, which are hardly suited for the analysis of tapered beams. In fact, high-fidelity stress analysis obtained from analytical and full 3D models shows that predictions of stepwise prismatic approximations can significantly deviate from the correct solution of tapered beams. In this work, a prismatic 3D cross-section analysis method is extended to analyze a symmetrically tapered finite cross-section slice. In this study, the cross-section slice is discretized with 8-node and 20-node solid elements. The boundary conditions are applied as six constraint equations via the Lagrange multiplier method. The external nodal forces acting on the cross-section faces are obtained from the equivalent tractions induced by the cross-section forces. The developed numerical model is validated against the exact analytical solutions of a wedge as well as commercial finite element (FE) software COMSOL and it is shown that the numerically predicted displacement and stress fields agree well with those provided by the wedge’s analytical solution and the FE COMSOL results. This work contributes to the advancement of high-fidelity numerical tapered cross-section analysis methods with an application for many engineering structures.

摘要 截面分析是一种重要工具,用于恢复任意几何形状的特定截面上结构的应力和应变,而无需完整的三维模型。这对于飞机、风力涡轮机叶片等大型结构尤为重要,因为在这些结构中,建立完整模型的计算成本非常高昂或不切实际。目前大多数可用的横截面分析框架都是基于阶梯棱柱假设,很难适用于锥形梁的分析。事实上,从分析模型和全三维模型中获得的高保真应力分析表明,逐步棱柱近似法的预测结果与锥形梁的正确解法有很大偏差。在本研究中,棱柱三维截面分析方法被扩展用于分析对称锥形有限截面切片。在这项研究中,横截面切片采用 8 节点和 20 节点实体元素离散化。边界条件通过拉格朗日乘数法应用为六个约束方程。作用在横截面上的节点外力由横截面力引起的等效牵引力获得。开发的数值模型与楔形的精确分析解以及商业有限元(FE)软件 COMSOL 进行了验证,结果表明,数值预测的位移和应力场与楔形的分析解和 FE COMSOL 的结果非常吻合。这项工作有助于推动高保真锥形截面数值分析方法的发展,并可应用于许多工程结构。
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引用次数: 0
Nonlinear Vibration and Dynamic Bifurcation of Axially Moving Plates Under Subsonic Airflow in a Narrow Space 窄空间中亚声速气流作用下轴向移动板的非线性振动和动态分岔
IF 1.3 4区 工程技术 Q2 Engineering Pub Date : 2024-03-15 DOI: 10.1007/s40997-024-00758-x
Chao Wang, Fangyuan Zhang, Dong Liu, Yu Qiao, Guo Yao

In this paper, the nonlinear vibration and dynamic bifurcation of axially moving plates under subsonic airflow in a narrow space concerning the background of the mining industry are investigated. The nonlinear dynamic equations interacting with narrow space airflow are established using Hamilton’s principle and linear potential flow theory. The dynamic bifurcation of vibration characteristics of axially moving plates caused by airflow is studied. The displacement–time diagrams, phase diagrams, and Poincare maps are plotted to distinguish the motion behaviors. The incremental harmonic balance method is used to study nonlinear vibration. The effects of airflow velocity, axial velocity and the narrow gap height on stability and nonlinear vibration characteristics are discussed. With the increase of axial velocity and air velocity and the decrease of narrow gap height, the resonance frequency of the plate decreases and the vibration peak increases. A smaller narrow gap height magnifies the effect of airflow on stability and nonlinear vibration, and a larger narrow gap height makes the magnification disappear. The findings in this paper provide valuable insights into the nonlinear vibration of axially moving thin plates interacting with subsonic airflow in a narrow space, and improve the understanding of the stability, controllability, and predictability of this system in future design works.

本文以采矿业为背景,研究了狭窄空间内亚音速气流作用下轴向运动板的非线性振动和动态分叉问题。利用汉密尔顿原理和线性势流理论建立了与狭窄空间气流相互作用的非线性动力方程。研究了气流引起轴向运动板振动特性的动态分岔。通过绘制位移-时间图、相位图和 Poincare 图来区分运动行为。采用增量谐波平衡法研究非线性振动。讨论了气流速度、轴向速度和窄间隙高度对稳定性和非线性振动特性的影响。随着轴向速度和气流速度的增大以及窄间隙高度的减小,板的共振频率降低,振动峰值增大。较小的窄间隙高度会放大气流对稳定性和非线性振动的影响,而较大的窄间隙高度则会使放大效应消失。本文的研究结果为轴向移动薄板在狭窄空间内与亚音速气流相互作用的非线性振动提供了宝贵的见解,并在未来的设计工作中提高了对该系统稳定性、可控性和可预测性的理解。
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引用次数: 0
Effect of Convection, Internal Heat Source, and Solar Radiation on the Stress Analysis of a Rotating Functionally Graded Smart Disk 对流、内部热源和太阳辐射对旋转功能分级智能盘应力分析的影响
IF 1.3 4区 工程技术 Q2 Engineering Pub Date : 2024-03-10 DOI: 10.1007/s40997-023-00725-y
Mahdi Saadatfar, Mohammad Amin Babazadeh, Mojtaba Babaelahi

In this study, stresses and deformations of a rotating functionally graded magneto-electro-elastic (FGMEE) disk with non-uniform thickness considering internal heat generation, convection, and radiation heat transfer were investigated. The power-law function of the radial coordinate was considered for the properties of the material. Also, the heat conduction and convection coefficients are functions of temperature and radius. The heat transfer equation was derived considering thermal gradient, convection thermal boundary, heat source, and solar radiation. The differential transformation method (DTM) was used for solving the obtained nonlinear differential equation of heat transfer. Then, the equilibrium equation of the disk was derived and solved analytically. So, the radial stress, hoop stress, radial deformation, electric and magnetic potential, electric displacement, and magnetic induction can be obtained. Finally, some numerical examples were presented to examine the effects of the heat source, convection heat transfer, temperature dependency, solar radiation, inhomogeneity index, and angular velocity on the stress, deformation, electric displacement, and magnetic induction of the disk. The results show the tensile radial stress, deformation, electric displacement, and magnetic induction decrease for higher values of source power and solar flux intensity, while changes for the higher values of convection coefficient and thermal conductivity are opposite. Also, using a non-uniform thickness disk with an outer thickness smaller than the inner thickness can reduce the displacement and electromagnetic potentials.

在本研究中,考虑到内部发热、对流和辐射传热,研究了厚度不均匀的旋转功能分级磁电弹性(FGMEE)圆盘的应力和变形。材料特性考虑了径向坐标的幂律函数。此外,热传导和对流系数是温度和半径的函数。考虑到热梯度、对流热边界、热源和太阳辐射,导出了传热方程。微分变换法(DTM)用于求解所得到的传热非线性微分方程。然后,推导出圆盘的平衡方程并进行解析求解。因此,可以得到径向应力、箍应力、径向变形、电势和磁势、电位移和磁感应强度。最后,给出了一些数值示例来研究热源、对流传热、温度相关性、太阳辐射、不均匀指数和角速度对圆盘应力、变形、电位移和磁感应强度的影响。结果表明,拉伸径向应力、变形、电位移和磁感应强度随热源功率和太阳通量强度值的增大而减小,而对流系数和热导率值的增大则相反。此外,使用外层厚度小于内层厚度的非均匀厚度圆盘可以降低位移和电磁感应强度。
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引用次数: 0
An Aerator Impeller Inspired by Eagle Leaf Tips for Improved Energy Efficiency 灵感源自鹰叶技巧的曝气器叶轮,可提高能源效率
IF 1.3 4区 工程技术 Q2 Engineering Pub Date : 2024-03-10 DOI: 10.1007/s40997-023-00737-8
Wei Tian, Zhiling Guo, Limei Tian, Shuai Wang, Yunfei Zhao, Huichao Jin, Hailin Kui

Aerators are extensively utilized in wastewater treatment applications; however, they encounter challenges, such as high energy consumption, which has a direct impact on their environmental and economic benefits. Among these challenges, the leakage occurring at the top gap of the aerator impeller is a significant factor leading to impeller loss. Installing leaf tip winglet on the impeller can partially inhibit the flow through the top gap and enhance the performance of the impeller. This research focuses on optimizing the meridian and rotary surface parameters of the impeller using the Taguchi design methodology. The optimized model is then chosen, and CFD software is employed to simulate the impact of various leaf tip winglet widths on the internal flow and performance of the aerator impeller at the suction surface. The findings reveal that increasing the width of the leaf tip winglet can diminish the flow through the top gap and delay the formation and shedding of the leakage vortex at the top. Furthermore, it alters the location of the vortex, shifting it away from the suction surface and reducing separation loss. At the highest efficiency point, a 15 mm leaf tip winglet width results in a 0.61% increase in full-pressure efficiency. This study offers valuable insights for the development of energy-efficient aerators.

曝气机广泛应用于废水处理领域,但也遇到了一些挑战,例如高能耗,这直接影响了其环境和经济效益。在这些挑战中,发生在曝气机叶轮顶部间隙的泄漏是导致叶轮损耗的一个重要因素。在叶轮上安装叶尖翼片可以部分抑制流经顶部间隙,提高叶轮的性能。本研究的重点是利用田口设计方法优化叶轮的子午线和旋转面参数。然后选择优化后的模型,利用 CFD 软件模拟不同叶尖小翼宽度对曝气机叶轮吸气面内部流动和性能的影响。研究结果表明,增加叶尖小翼的宽度可以减少流经顶部间隙的流量,延迟顶部泄漏涡流的形成和脱落。此外,它还能改变漩涡的位置,使其远离吸力表面,减少分离损失。在最高效率点,15 毫米的叶尖小翼宽度可使全压效率提高 0.61%。这项研究为开发高能效曝气器提供了宝贵的启示。
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引用次数: 0
Hybrid Nanofluid Unsteady MHD Natural Convection in an Inclined Wavy Porous Enclosure with Radiation Effect, Partial Heater and Heat Generation/Absorption 带有辐射效应、部分加热器和热量产生/吸收的倾斜波浪形多孔围护结构中的混合纳米流体非稳态 MHD 自然对流
IF 1.3 4区 工程技术 Q2 Engineering Pub Date : 2024-03-09 DOI: 10.1007/s40997-023-00720-3
T. Armaghani, A. M. Rashad, Hussein Togun, M. A. Mansour, T. Salah

In this study, the flow and heat transfer components of convection are numerically investigated in a hybrid nanofluid-filled, porous-medium enclosure with wavy walls. The flow is considered to be buoyancy-driven under a constant inclined magnetic field and heat radiation (Rd). The cavity is partially heated from its left wall and is cooled by its wave-like right wall while the other walls are adiabatic. To express the results, streamlines, isothermal, and the Nu are used. Analysis is done to determine how heat transfer is affected by thermal radiation (Rd), the Hartmann number Ha, the inclined magnetic field, the left heater’s dimensionless location (D), the heat source’s dimensionless length (B), and the hybrid nanofluid’s volume fraction. The average Nusselt number is increased when the volume friction of hybrid nanofluids increases. Additionally, as the dimensionless heat source length B rises, the rate of heat generation rises as well, enhancing the buoyancy force while reducing the impact of shear-driven force. The left heater’s dimensionless position, D = 0.7, exhibits the largest local Nu in contrast to other occurrences. It was found that the minimum Nu occurred at the heat generation/absorption coefficient Q = − 8 at the lowest wall of the enclosure because the intensity of the isothermal formed at the upper wall of the enclosure was greater than that at the bottom of the enclosure in comparison to other cases. The results also showed that, due to the irreversibility of magnetic force, which is one of the main processes for heat transmission, isentropic lines diffuse toward the interior of the enclosure as porosity decreases. On the surface of the enclosure’s vertical left wall (Y-axis at X = 0), the Nu shows as symmetrical profiles, and it can be seen that the Nu increases as the wave length of the wavy walls diminishes. The effects of the Hartmann number and Darcy number on streamlines and isothermal temperature are also investigated.

本研究以数值方法研究了在多孔介质混合纳米流体填充的波浪形围墙中的流动和对流传热成分。在恒定的倾斜磁场和热辐射(Rd)作用下,流动被视为浮力驱动。空腔左壁部分受热,右壁波浪形冷却,其他壁绝热。为了表达结果,使用了流线、等温线和 Nu。分析确定了热辐射 (Rd)、哈特曼数 Ha、倾斜磁场、左加热器的无量纲位置 (D)、热源的无量纲长度 (B) 以及混合纳米流体的体积分数对传热的影响。当混合纳米流体的体积摩擦增大时,平均努塞尔特数也随之增大。此外,随着无量纲热源长度 B 的增加,发热率也随之增加,从而增强了浮力,同时降低了剪切力的影响。与其他情况相比,左侧加热器的无量纲位置 D = 0.7 显示出最大的局部 Nu。研究发现,Nu 最小值出现在外壳最低壁的发热/吸热系数 Q = - 8 处,因为与其他情况相比,外壳上壁形成的等温强度大于外壳底部的等温强度。结果还显示,由于磁力的不可逆性(磁力是热量传递的主要过程之一),等熵线随着孔隙率的降低向外壳内部扩散。在外壳垂直左壁表面(Y 轴在 X = 0 处),Nu 呈对称剖面,可以看出 Nu 随着波浪壁波长的减小而增大。此外,还研究了哈特曼数和达西数对流线和等温温度的影响。
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引用次数: 0
Exergoeconomic Analysis and Multi-Objective Optimization of an Integrated CHP System Based on Syngas-Fueled Planar Solid Oxide Fuel Cell 基于合成气燃料平面固体氧化物燃料电池的综合热电联产系统的运行经济分析与多目标优化
IF 1.3 4区 工程技术 Q2 Engineering Pub Date : 2024-03-05 DOI: 10.1007/s40997-023-00722-1
Reza Najar, Admin Kazemi, Mehdi Borji, Mohammad Nikian

Exergoeconomic assessment of an energy conversion system based on energy-exergy analysis and appropriate economic principles, is essential to identify the costs of the inefficiencies both for the whole integrated system and for individual energy components. The current study contributes to an exergoeconomic analysis focusing on the steady-state performance of a biomass-fed combined heat and power (CHP) system including a two-stage auto-thermal biomass gasifier, a direct internal reforming planar solid oxide fuel cell (DIR-PSOFC) and a micro-gas turbine (mGT). A one-dimensional model of the DIR-PSOFC is used to investigate the temperature gradient within the solid structure of the fuel cell under different operating conditions. In order to assess the effect of the main system input parameters on the performance of the cogeneration system, a comprehensive parametric analysis is carried out. The results show that the highest rate of exergy destruction takes place in the gasifier with an amount of 39.23%, followed by the afterburner and the SOFC due to the highly irreversible nature of the process of these components. The system input exergy supplied by biomass is 525.7 kW, of which 53.2% is wasted in the system components and the exergy efficiency of the total CHP system is determined to be 49.72%. Furthermore, the results indicate that the highest exergy destruction cost rate is related to the afterburner with 2.39 ($⁄h). Based on the results of the sensitivity analysis, the trends of the performance parameters demonstrate some conflicts with the variation of the operating parameters, which implies the necessity of an optimization procedure. In all the operating conditions considered, the temperature difference along the cell length is kept below the maximum allowable temperature gradient, which is 150 K. Two-step multi-objective optimization has been conducted by use of non-dominated sorting genetic algorithm technique. Significant and newsworthy relationships between the optimal operating parameters and the considered design variables have been unveiled using the Pareto-based multi-objective optimization procedure.

根据能量-能量分析和适当的经济原则对能源转换系统进行外部经济评估,对于确定整个集成系统和单个能源组件的低效成本至关重要。目前的研究侧重于生物质热电联产(CHP)系统的稳态性能,包括两级自热生物质气化炉、直接内部重整平面固体氧化物燃料电池(DIR-PSOFC)和微型燃气轮机(mGT)。DIR-PSOFC 的一维模型用于研究不同工作条件下燃料电池固体结构内的温度梯度。为了评估主要系统输入参数对热电联产系统性能的影响,进行了全面的参数分析。结果表明,气化器的放能破坏率最高,达到 39.23%,其次是后燃烧器和 SOFC,原因是这些组件的过程具有高度不可逆的性质。由生物质提供的系统输入放能为 525.7 千瓦,其中 53.2% 被浪费在系统组件中,整个热电联产系统的放能效率被确定为 49.72%。此外,结果表明,与后燃烧器有关的放能破坏成本率最高,为 2.39(⁄h 美元)。根据敏感性分析的结果,性能参数的变化趋势与运行参数的变化存在一些冲突,这意味着有必要进行优化。在所有考虑的运行条件下,沿电池长度方向的温差都保持在最大允许温度梯度(150 K)以下。利用基于帕累托的多目标优化程序,揭示了最佳运行参数与所考虑的设计变量之间的重要关系。
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引用次数: 0
Investigations on the Energy Characteristics and Internal Flow Dynamics of a Mixed-Flow Pump Considering of Inlet Pre-Rotation at Off-Rated Flow Conditions 非额定流量条件下考虑入口预旋转的混流泵能量特性和内流动力学研究
IF 1.3 4区 工程技术 Q2 Engineering Pub Date : 2024-02-27 DOI: 10.1007/s40997-024-00752-3
Yang Yang, Xionghuan Chen, Dan Su, Tianxiang Gu, Bin Xi, Hui Wang, Weixuan Jiao, Leilei Ji, Zhaoming He, Chuan Wang

In the industrial sphere, mixed-flow centrifugal pumps are widely used to convey acids, alkalis, brines, petroleum and other media. Their performance has a significant impact on the production efficiency of industrial systems. This paper presents an analysis of the influence of positive pre-rotation on the hydraulic performance and energy conversion characteristics of mixed flow pumps under off-rated flow conditions. The accuracy of the numerical methods adopted in this study was validated by experiments, with less than 5% error observed in head and efficiency between the experimental and numerical results at rated flow condition. The influence of positive pre-rotation on the pump’s performance was found to be contingent upon the prevailing flow conditions. Under part-load flow conditions, positive pre-rotation improved the match between the medium inlet angle and blade inlet angle, leading to a reduction of the high vorticity area near the blade inlet, and consequently an improvement of hydraulic performance. However, under overload flow conditions, positive pre-rotation causes a further increment in the difference between the media inlet angle and the blade inlet angle. An increase in the secondary flow intensity within the impeller is induced, which leads to flow instability and ultimately to significant energy losses. These findings contribute to the theoretical basis for the prediction of mixed flow pump performance and operational stability improvement under off-rated flow conditions.

在工业领域,混流式离心泵被广泛用于输送酸、碱、盐水、石油和其他介质。它们的性能对工业系统的生产效率有着重要影响。本文分析了在非额定流量条件下,正预旋转对混流泵水力性能和能量转换特性的影响。实验验证了本研究采用的数值方法的准确性,在额定流量条件下,实验结果与数值结果之间的扬程和效率误差小于 5%。研究发现,正预旋转对泵性能的影响取决于当时的流量条件。在部分负荷流量条件下,正预旋转改善了介质入口角与叶片入口角之间的匹配,从而减少了叶片入口附近的高涡流区,进而改善了水力性能。然而,在过载流动条件下,正预旋转会导致介质入口角与叶片入口角之间的差值进一步增大。叶轮内的二次流强度会增加,从而导致流动不稳定,最终造成巨大的能量损失。这些发现为预测混流泵性能和改善非额定流量条件下的运行稳定性提供了理论依据。
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引用次数: 0
Polygeneration (Power, Water, Hydrogen and Heat) by a Novel Cycle Based on Solid Oxide Fuel Cell Integrated with Micro-Gas Turbine, Metal Hydride, and Desalination 通过基于固体氧化物燃料电池与微型燃气轮机、金属氢化物和海水淡化相结合的新型循环实现多联产(发电、供水、制氢和供热
IF 1.3 4区 工程技术 Q2 Engineering Pub Date : 2024-02-23 DOI: 10.1007/s40997-024-00753-2
Masood Ebrahimi, Mohammad Aryanfar

In the present research, a novel cycle for simultaneous, distributed, micro-scale production of electricity, water, and hydrogen is proposed based on solid oxide fuel cell (SOFC), micro-gas turbine (MGT), thermal vapor compression single-effect desalination (TVC-SED), and metal hydride (MH). The exhaust of the SOFC is first used in an external steam reformer; then, it turns an MGT and finally produces steam for a TVC-SED unit. Excess hydrogen is stored in a metal hydride. The cycle is modeled thermodynamically and then coded in the Engineering Equation Solver. The models of the SOFC and TVC-SED are validated. The parametric analyses show that the TVC-SED performance is most sensitive to the boiling temperature and compression ratio of ejector and least sensitive to the seawater salinity, motive steam pressure and seawater temperature. The SOFC and the MGT are most sensitive to the reformer temperature. The cycle is applied to a case study in the warm climate in Iran and revealed that the cycle produces the electricity demand of a five-family residential building and water demand of 32 people. The performance ratio of TVC-SED, electrical and overall efficiencies is 1.55, 65.01 and 72.99%. The cycle stores 623.7 kg of hydrogen and sells 1.32 MW of electricity annually.

本研究基于固体氧化物燃料电池 (SOFC)、微型燃气轮机 (MGT)、热蒸汽压缩单效脱盐 (TVC-SED) 和金属氢化物 (MH) 提出了一种新型循环,用于同时、分布式、微型生产电、水和氢。SOFC 排出的废气首先用于外部蒸汽转化器,然后转化为 MGT,最后为 TVC-SED 装置产生蒸汽。多余的氢储存在金属氢化物中。该循环采用热力学模型,然后在工程方程求解器中进行编码。SOFC 和 TVC-SED 的模型已通过验证。参数分析表明,TVC-SED 的性能对沸腾温度和喷射器压缩比最为敏感,而对海水盐度、动力蒸汽压力和海水温度的敏感性最低。SOFC 和 MGT 对重整器温度最为敏感。该循环应用于伊朗温暖气候条件下的案例研究,结果表明,该循环可满足一栋五户住宅楼的用电需求和 32 人的用水需求。TVC-SED 的性能比、电效率和总效率分别为 1.55%、65.01% 和 72.99%。该循环每年可储存 623.7 千克氢气,销售 1.32 兆瓦电力。
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引用次数: 0
General Meshing Modeling and Dynamic Characteristics Analysis of Helical Gear Pair with Tooth Surface Deviation 有齿面偏差的斜齿轮对的一般网格建模和动态特性分析
IF 1.3 4区 工程技术 Q2 Engineering Pub Date : 2024-02-17 DOI: 10.1007/s40997-024-00751-4
Jiajun Chen, Rupeng Zhu, Weifang Chen, Miaomiao Li, Xunmin Yin, Xiaoxu Zhang

Pitch error and tooth surface error are inevitable in the machining of helical gears, which will directly impact the time-varying meshing stiffness (TVMS) and transmission error (TE), thereby altering the vibration response of the gear. However, these errors are often ignored or replaced by simplified meshing errors in previous research, which cannot accurately reflect the specific effects of different errors. In this work, the distribution of various errors on the meshing surface of helical gears is fully considered, and a nonlinear contact model for helical gears with errors is established. The influence mechanisms of different errors on meshing excitation are elucidated through quasi-static meshing analysis. By incorporating the deformation coordination relationship of the meshing unit at each time sub-step, the corresponding TVMS and TE are coupled to the gear transmission in real-time, and a dynamic model influenced by tooth surface deviation is established. Finally, the time–frequency domain and dynamic load characteristics of the system under different errors are explored and the influence of mixed modification on the dynamic response of helical gears is analyzed. The findings reveal that the modification has a notable suppression effect on load fluctuation, underscoring the generality of the model for unconventional gears.

螺距误差和齿面误差在斜齿轮加工中不可避免,它们将直接影响时变啮合刚度(TVMS)和传动误差(TE),从而改变齿轮的振动响应。然而,在以往的研究中,这些误差往往被忽略或被简化的啮合误差所替代,无法准确反映不同误差的具体影响。本研究充分考虑了各种误差在斜齿轮啮合面上的分布,并建立了带误差斜齿轮的非线性接触模型。通过准静态啮合分析,阐明了不同误差对啮合激励的影响机制。结合啮合单元在每个时间子步骤的变形协调关系,将相应的 TVMS 和 TE 与齿轮传动实时耦合,建立了受齿面偏差影响的动态模型。最后,探讨了不同误差下系统的时频域和动载特性,分析了混合修正对斜齿轮动态响应的影响。研究结果表明,混合改性对载荷波动有显著的抑制作用,突出了该模型对非常规齿轮的通用性。
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引用次数: 0
Cohesive Models for Anti-Plane Mode Fracture in Dissimilar Structures: Effect of Small/Large Scale Yielding Conditions on Computed Fracture Load 异种结构中反平面模式断裂的内聚模型:小/大尺度屈服条件对计算断裂荷载的影响
IF 1.3 4区 工程技术 Q2 Engineering Pub Date : 2024-02-08 DOI: 10.1007/s40997-023-00741-y

Abstract

The study delves into the issue of anti-plane mode cracking in dissimilar structures, commonly encountered in welds, composites and functionally graded materials. Achieving an accurate representation of these structures involves acknowledging a gradual variation of elastic properties across interfaces, achieved by incorporating a non-homogeneous layer characterized by finite width and bounded variable elastic properties. The investigation builds upon a model previously developed employing a numerical solution to a singular integral equation using the Dugdale cohesive law. In this paper, a comparable model based on the finite element method, incorporating an implemented cohesive model is introduced. The primary focus is on calculating the fracture load, allowing for a subsequent comparative analysis of results. The ensuing discussion revolves around the calculated relative sizes of cohesive zones, considering the corresponding implications of small/large-scale yielding conditions. While both approaches yield sufficiently similar fracture load values for small cohesive zone sizes, noticeable scatter is observed in instances of larger cohesive zone sizes.

摘要 本研究深入探讨了焊接、复合材料和功能分级材料中常见的异种结构中的反平面模态开裂问题。要准确表述这些结构,就必须承认跨界面弹性特性的渐变性,而实现这种渐变性的方法是将具有有限宽度和有界可变弹性特性的非均质层纳入其中。这项研究建立在之前开发的模型基础上,该模型采用了 Dugdale 内聚定律对奇异积分方程进行数值求解。本文介绍了一个基于有限元法的可比模型,其中包含一个已实施的内聚模型。主要重点是计算断裂载荷,以便随后对结果进行比较分析。随后的讨论围绕计算出的内聚区相对大小展开,并考虑小/大尺度屈服条件的相应影响。虽然两种方法都能得出小尺寸内聚区的足够相似的断裂载荷值,但在较大尺寸内聚区的情况下会出现明显的差异。
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引用次数: 0
期刊
Iranian Journal of Science and Technology-Transactions of Mechanical Engineering
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