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Effects of non-symmetric non-uniformly distributed welding residual stress on fatigue failure initiation and propagation in a hydropower generator shaft 非对称非均匀分布焊接残余应力对水轮发电机轴疲劳失效萌生和扩展的影响
IF 2 4区 材料科学 Q1 Mathematics Pub Date : 2023-06-30 DOI: 10.1108/mmms-01-2023-0023
A. K. Abdul Jawwad, M. Mahdi
PurposeThis article aims to investigate and model the effects of welding-generated thermal cycle on the resulting residual stress distribution and its role in the initiation and propagation of fatigue failure in thick shaft sections.Design/methodology/approachExperimental and numerical techniques were applied in the present study to explore the relationship(s) between welding residual-stress distribution and fatigue failure characteristics in a hydropower generator shaft. Experimental techniques included stereomicroscopy, optical and scanning electron microscopy (SEM), chemical analysis and mechanical testing. Finite element modelling (FEM) was used to model the shaft welding cycle in terms of thermal (temperature) history and the associated development of residual stresses within the weld joint.FindingsExperimental analyses have confirmed the suitability of the used material for the intended application and confirmed the failure mode to be low cycle fatigue. The observed failure characteristics, however, did not match with the applied loading in terms of design stress levels, directionality and expected crack imitation site(s). FEM results have revealed the presence of a sharp stress peak in excess of 630 MPa (about 74% of material's yield strength) around weld start point and a non-uniform residual stress distribution in both the circumferential and through-thickness directions. The present results have shown very close matching between FEM results and observed failure characteristics.Practical implicationsThe present article considers an actual industrial case of a hydropower generator shaft failure. Present results are valuable in providing insight information regarding such failures as well as some preventive design and fabrication measures for the hydropower and other power generation and transmission sector.Originality/valueThe presence of the aforementioned stress peak around welding start/end location and the non-uniform distribution of residual-stress field are in contrast to almost all published results based on some uniformity assumptions. The present FEM results were, however, the only stress distribution scenario capable of explaining the failure considered in the present research.
目的研究和模拟焊接产生的热循环对厚轴截面残余应力分布的影响及其在疲劳破坏萌生和扩展中的作用。设计/方法/方法本研究采用实验和数值方法探讨了水轮发电机轴的焊接残余应力分布与疲劳破坏特性之间的关系。实验技术包括立体显微镜,光学和扫描电子显微镜(SEM),化学分析和力学测试。采用有限元模型(FEM)对轴焊接周期的热(温度)历史和焊接接头内残余应力的相关发展进行建模。实验分析证实了所用材料对预期应用的适用性,并证实了失效模式为低周疲劳。然而,观察到的破坏特征在设计应力水平、方向性和预期的裂纹模仿位置方面与实际载荷不匹配。有限元分析结果表明,在焊缝起始点附近存在一个超过630 MPa的尖锐应力峰值(约占材料屈服强度的74%),并且在周向和全厚方向上存在不均匀的残余应力分布。结果表明,有限元计算结果与实测破坏特征吻合非常密切。实际意义本文考虑了一个水力发电机轴故障的实际工业案例。目前的研究结果在为水电和其他发电和输电部门提供有关此类故障的深入信息以及一些预防性设计和制造措施方面具有重要价值。上述应力峰在焊接开始/结束位置附近的存在以及残余应力场的非均匀分布与几乎所有发表的基于某些均匀性假设的结果相反。然而,目前的有限元结果是唯一能够解释本研究中所考虑的破坏的应力分布情景。
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引用次数: 0
Static and free vibration response of a box-girder bridge using the finite element technique 箱梁桥静力和自由振动响应的有限元分析
IF 2 4区 材料科学 Q1 Mathematics Pub Date : 2023-06-13 DOI: 10.1108/mmms-12-2022-0277
M. F. Shaikh, Nallasivam K
PurposeIn this study, a finite element model of a box-girder bridge along with the railway sub-track system is developed to predict the static behavior due to different combinations of the Indian railway system and free vibration responses resulting in different natural frequencies and their corresponding mode shapes.Design/methodology/approachThe modeling and evaluation of the bridge and sub-track system were performed using non-closed form finite element method (FEM)-based ANSYS software.FindingsFrom the analysis, the worst possible cases of deformation and stress due to different static load combinations were determined in the static analysis, while different natural frequencies were determined in the free vibrational analysis that can be used for further analysis because of the dynamic effect of the train vehicle.Research limitations/implicationsThe scope of the current investigation is confined to the structure's static and free vibration analysis. However, this study will help the designers obtain relevant information for further analysis of the dynamic behavior of the bridge model.Originality/valueIn static analysis, the maximum deformation of the bridge deck was found to be 10.70E-03m due to load combination 5, whereas the maximum natural frequency for free vibration analysis is found to be 4.7626 Hz.
目的在本研究中,建立了一个箱梁桥和铁路子轨道系统的有限元模型,以预测印度铁路系统的不同组合和自由振动响应导致的不同固有频率及其相应振型所产生的静态行为。设计/方法/方法使用基于ANSYS软件的非闭合有限元法对桥梁和子轨道系统进行建模和评估。结果从分析中可以看出,在静态分析中确定了不同静载荷组合引起的变形和应力的最坏可能情况,而在自由振动分析中则确定了不同的固有频率,由于列车车辆的动力学效应,这些固有频率可用于进一步分析。研究局限性/含义目前的研究范围仅限于结构的静态和自由振动分析。然而,这项研究将有助于设计者获得相关信息,以便进一步分析桥梁模型的动力特性。原创性/价值在静态分析中,由于荷载组合5,桥面的最大变形为10.70E-03m,而自由振动分析的最大固有频率为4.7626 Hz。
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引用次数: 0
A circular plate with a central hole reinforced with agglomerated CNTs under impact loading 具有中心孔的圆形板在冲击载荷下用聚集的CNT增强
IF 2 4区 材料科学 Q1 Mathematics Pub Date : 2023-06-06 DOI: 10.1108/mmms-01-2023-0025
Mehdi Ranjbar-Roeintan
PurposeThis article focuses on the low-velocity impact (LVI) output of carbon nanotubes (CNTs)’ reinforcement circular plates, considering agglomeration size effect and clumping of CNTs’ inner side of the agglomerations.Design/methodology/approachA representative volume element (RVE) is used to determine the nanocomposite properties reinforced with agglomerated CNTs with random orientation. First-order shear deformation theory (FSDT) is used to obtain the motion equations of LVI analysis. These equations are handled by developing a Ritz method and Lagrangian mechanics. To extract the mass and stiffness matrices, terms with second and higher degrees are ignored.FindingsFormulation validation is performed by providing various examples, including comparisons with other research and ABAQUS FE code. The effects of agglomeration size, clumping of CNTs’ inner side of the agglomerations, CNT volume fraction and impact location on the responses of impact load, projectile displacement and plate deflection are analytically studied. These achievements illuminate how the influence of agglomeration size is very small on the impact response. Also, the influence of clumping of CNTs’ inner side of the agglomerations is significant, and as it increases, the displacement values and impact time increase, and the impact force decreases.Originality/valueIn this article, to avoid additional calculations, the parameters of the mass matrix and the stiffness coefficients are linearized to obtain the equations of motion of the impact on the circular plate.
目的本文研究了碳纳米管增强圆板的低速冲击(LVI)输出,考虑了团聚尺寸效应和团聚内侧的团聚。设计/方法/方法使用代表性体积元素(RVE)来确定用具有随机取向的团聚CNT增强的纳米复合材料的性能。利用一阶剪切变形理论(FSDT)得到LVI分析的运动方程。这些方程是通过发展里兹方法和拉格朗日力学来处理的。为了提取质量和刚度矩阵,忽略具有二阶和更高阶的项。FindingsFormulation通过提供各种示例进行验证,包括与其他研究和ABAQUS FE代码的比较。分析研究了团聚尺寸、团聚内侧的团聚、CNT体积分数和撞击位置对撞击载荷、弹丸位移和板偏转响应的影响。这些成果说明了集聚规模对冲击响应的影响是如何非常小的。此外,CNT内侧结块对团聚的影响是显著的,并且随着其增加,位移值和冲击时间增加,冲击力减小。原创性/价值在本文中,为了避免额外的计算,将质量矩阵的参数和刚度系数线性化,以获得冲击在圆板上的运动方程。
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引用次数: 1
Exact shell solutions for conical springs. III. Belleville springs with variable thickness 锥形弹簧的精确壳解。3可变厚度的贝尔维尔弹簧
IF 2 4区 材料科学 Q1 Mathematics Pub Date : 2023-06-06 DOI: 10.1108/mmms-11-2022-0251
V. Kobelev
PurposeIn the current manuscript, the authors examine the Belleville spring with the variable thickness. The thickness is assumed to be variable along the meridional and parallel coordinates of conical coordinate system. The calculation of the Belleville springs includes the cases of the free gliding edges and the edges on cylindric curbs, which constrain the radial movement. The equations developed here are based on common assumptions and are simple enough to be applied to the industrial calculations.Design/methodology/approachIn the current manuscript, the authors examine the Belleville spring with the variable thickness. The calculation of the Belleville springs investigates the free gliding edges and the edges on cylindric curbs with the constrained radial movement. The equations developed here are based on common assumptions and are simple enough to be applied to the industrial calculations.FindingsThe developed equations demonstrate that the shift of the inversion point to the inside edge does not influence the bending of the cone. On the contrary, the character of the extensional deformation (circumferential strain) of the middle surface alternates significantly. The extension of the middle surface of free gliding spring occurs outside the inversion. The middle surface of the free gliding spring squeezes inside the inversion point. Contrarily, the complete middle surface of the disk spring on the cylindric curb extends. This behavior influences considerably the function of the spring.Research limitations/implicationsA slotted disk spring consists of two segments: a disk segment and a number of lever arm segments. Currently, the calculation of slotted disk spring is based on the SAE formula (SAE, 1996). This formula is limited to a straight slotted disk spring with freely gliding inner and outer edges.Practical implicationsThe equations developed here are based on common assumptions and are simple enough to be applied to the industrial calculations. The developed method is applicable for disk springs with radially constrained edges. The vertical displacements of a disk spring result from an axial load uniformly distributed on inner and outer edges. The method could be directly applied for calculation of slotted disk springs.Originality/valueThe nonlinear governing equations for the of Belleville spring centres were derived. The equations describe the deformation and stresses of thin and moderately thick washers. The variation method is applicable for the disc springs with free gliding and rigidly constrained edges. The developed method is applicable for Belleville spring with radially constrained edges. The vertical displacements of a disc spring result from an axial load uniformly distributed on inner and outer edges.
目的在本文中,作者研究了变厚度的贝尔维尔弹簧。假设厚度沿圆锥坐标系的子午坐标和平行坐标是可变的。贝尔维尔弹簧的计算包括自由滑动边缘和约束径向运动的圆柱形凸缘的情况。这里开发的方程式是基于常见的假设,并且足够简单,可以应用于工业计算。设计/方法/方法在当前的手稿中,作者研究了变厚度的贝尔维尔弹簧。贝尔维尔弹簧的计算研究了自由滑动边缘和受约束径向运动的圆柱体边缘。这里开发的方程式是基于常见的假设,并且足够简单,可以应用于工业计算。结果表明:反演点向内边缘的移动不影响锥体的弯曲。相反,中表面拉伸变形(周向应变)的特征变化明显。自由滑动弹簧的中间面延伸发生在逆温外。自由滑动弹簧的中间面挤压在反转点内。相反,盘式弹簧在圆柱形路缘上的整个中间表面延伸。这种行为对弹簧的功能有很大的影响。研究局限/启示开槽盘式弹簧由两个部分组成:一个盘段和一些杠杆臂段。目前,槽盘式弹簧的计算是基于SAE公式(SAE, 1996)。该公式仅限于具有自由滑动内外边缘的直槽盘式弹簧。实际意义这里发展的方程式是基于一般的假设,并且足够简单,可以应用于工业计算。该方法适用于具有径向约束边缘的盘形弹簧。圆盘弹簧的垂直位移是由均匀分布在内外边缘的轴向载荷引起的。该方法可直接应用于开槽盘式弹簧的计算。推导了两个贝尔维尔弹簧中心的非线性控制方程。该方程描述了薄垫圈和中厚垫圈的变形和应力。变分法适用于具有自由滑动和刚性约束边缘的盘形弹簧。该方法适用于具有径向约束边的贝尔维尔弹簧。圆盘弹簧的垂直位移是由均匀分布在内外边缘的轴向载荷引起的。
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引用次数: 0
An micro-level study on the cracking performance of encapsulation-based self-healing resin mineral composites under dynamic load based on XFEM 基于XFEM的包封自愈树脂矿物复合材料动载开裂性能微观研究
IF 2 4区 材料科学 Q1 Mathematics Pub Date : 2023-06-06 DOI: 10.1108/mmms-01-2023-0010
Huan Huang, Yaqiong Fan, Huiyan Huang, R. Guo
PurposeAs an efficient self-healing intelligent material, the encapsulation-based self-healing resin mineral composite (SHC) has a broad application prospect.Design/methodology/approachAiming at the cracking performance of SHC, the dynamic load condition is employed to replace the traditional static load condition, the initial damage of the material is considered and the triggered cracking process and influencing factors of SHC are analyzed based on the extended finite element method (XFEM). In addition, the mechanism of matrix cracking and microcapsule triggered cracking process is explained from the microscopic point of view, and the cracking performance conditions of SHC are studied. On this basis, the response surface regression analysis method is used to obtain a second-order polynomial model of the microcapsule crack initiation stress, the interface bonding strength and the matching relationship between elastic modulus. Therefore, the model could be used to predict the cracking performance parameters of the microcapsule.FindingsThe interfacial bonding strength has an essential effect on the triggered cracking of the microcapsule. In order to ensure that the microcapsule can be triggered cracking normally, the design strength should meet the following relationship, that is crack initiation stress of microcapsule wall < crack initiation stress of matrix < interface bonding strength. Moreover, the matching relationship between elastic modulus has a significant influence on the triggered cracking of the microcapsule.Originality/valueThe results provide a theoretical basis for further oriented designing of the cracking performance of microcapsules.
目的封装型自修复树脂-矿物复合材料作为一种高效的自修复智能材料,具有广阔的应用前景。设计/方法/方法针对SHC的开裂性能,采用动载荷条件代替传统的静载荷条件,考虑材料的初始损伤,并基于扩展有限元法(XFEM)分析了SHC的触发开裂过程和影响因素。此外,从微观角度解释了基体开裂和微胶囊引发开裂的机理,并对SHC的开裂性能条件进行了研究。在此基础上,采用响应面回归分析方法,得到了微胶囊裂纹萌生应力、界面结合强度和弹性模量匹配关系的二阶多项式模型。因此,该模型可用于预测微胶囊的裂解性能参数。发现界面结合强度对微胶囊的触发开裂有重要影响。为了保证微胶囊能够正常引发开裂,设计强度应满足以下关系,即微胶囊壁的裂纹萌生应力<基体的裂纹萌生力<界面结合强度。此外,弹性模量之间的匹配关系对微胶囊的触发开裂有显著影响。原创性/价值研究结果为微胶囊裂解性能的进一步定向设计提供了理论依据。
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引用次数: 0
Optimal design of composite cylindrical shells subject to compression buckling strength 考虑压曲强度的复合材料圆柱壳优化设计
IF 2 4区 材料科学 Q1 Mathematics Pub Date : 2023-06-05 DOI: 10.1108/mmms-11-2022-0269
P. Choudhary
PurposeThe objective of the present work is to present the design optimization of composite cylindrical shell subjected to an axial compressive load and lateral pressure.Design/methodology/approachA novel optimization method is developed to predict the optimal fiber orientation in composite cylindrical shell. The optimization is carried out by coupling analytical and finite element (FE) results with a genetic algorithm (GA)-based optimization scheme developed in MATLAB. Linear eigenvalue were performed to evaluate the buckling behaviour of composite cylinders. In analytical part, besides the buckling analysis, Tsai-Wu failure criteria are employed to analyse the failure of the composite structure.FindingsThe optimal result obtained through this study is compared with traditionally used laminates with 0, 90, ±45 orientation. The results suggest that the application of this novel optimization algorithm leads to an increase of 94% in buckling strength.Originality/valueThe proposed optimal fiber orientation can provide a practical and efficient way for the designers to evaluate the buckling pressure of the composite shells in the design stage.
目的本工作的目的是提出复合材料圆柱壳在轴向压缩载荷和侧向压力作用下的设计优化。设计/方法/途径提出了一种新的优化方法来预测复合材料圆柱壳中纤维的最佳取向。通过将分析和有限元(FE)结果与在MATLAB中开发的基于遗传算法(GA)的优化方案相耦合来进行优化。对复合材料圆柱的屈曲行为进行了线性特征值评估。在分析部分,除了屈曲分析外,还采用蔡武失效准则对复合材料结构的失效进行了分析。结果通过本研究获得的最佳结果与传统使用的0,90,±45取向的层压板进行了比较。结果表明,该优化算法的应用使屈曲强度提高了94%。独创性/价值所提出的最佳纤维取向可以为设计者在设计阶段评估复合材料壳体的屈曲压力提供一种实用有效的方法。
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引用次数: 0
Front propagation in the interaction of gases to model a fuel tank inerting process with a nonlinear parabolic operator 用非线性抛物算子模拟油箱惯性过程的气体相互作用中的锋面传播
4区 材料科学 Q1 Mathematics Pub Date : 2023-06-01 DOI: 10.1108/mmms-10-2022-0224
José Luis Díaz Palencia
Purpose The objective of this study is to model the propagating front in the interaction of gases in an aircraft fuel tank. To this end, we introduce a nonlinear parabolic operator, for which solutions are shown to be regular. Design/methodology/approach The authors provide an analytical expression for the propagating front, that shifts any combination of oxygen and nitrogen, in the tank airspace, into a safe condition to avoid potential explosions. The analytical exercise is validated with a real flight. Findings According to the flight test data, the safe condition, of maximum 7% of oxygen, is given for a time t = 45.2 min since the beginning of the flight, while according to our analysis, such a safe level is obtained for t = 41.42 min. For other safe levels of oxygen, the error between the analytical assessment and the flight data was observed to be below 10%. Originality/value The interaction of gases in a fuel tank has been little explored in the literature. Our value consists of introducing a set of nonlinear partial differential equations to increase the accuracy in modeling the interaction of gasses, which has been typically done via algebraic equations.
目的建立飞机油箱内气体相互作用的传播锋模型。为此,我们引入了一个非线性抛物算子,并证明了其解是正则的。设计/方法/方法作者提供了传播前沿的解析表达式,该表达式将储罐空域中的任何氧气和氮气组合转换为安全状态,以避免潜在的爆炸。通过实际飞行验证了分析练习。根据飞行试验数据,在飞行开始后的一段时间t = 45.2 min内给出了最大含氧7%的安全条件,而根据我们的分析,在t = 41.42 min时获得了该安全水平。对于其他安全的含氧水平,分析评估与飞行数据的误差在10%以下。文献中很少探讨燃料箱中气体的相互作用。我们的价值包括引入一组非线性偏微分方程来提高模拟气体相互作用的准确性,这通常是通过代数方程来完成的。
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引用次数: 0
Analysis and profiles of solution for a highly nonlinear model of pressure driven flame propagation in nonhomogeneous medium 非均匀介质中压力驱动火焰传播的高度非线性模型的分析与解
IF 2 4区 材料科学 Q1 Mathematics Pub Date : 2023-05-30 DOI: 10.1108/mmms-11-2022-0247
S. Rahman, José Luis Díaz Palencia
PurposeThis article aims to study a model of flame propagation in a nonhomogeneous medium with a p-Laplacian operator. The intention with such operator is to model the effects of slow and fast diffusion, that can appear in a nonhomogeneous media, depending on the pressure driven conditions. In addition, the authors introduce a general form in the reaction term, that introduces the flame chemical kinetics.Design/methodology/approachTo introduce the governing equations, the authors depart from previously reported models in flame propagation, but the authors consider a new modeling approach based on a p-Laplacian operator.FindingsThe authors provide evidences of regularity and uniqueness of solutions. Afterward, the authors introduce profiles of stationary solutions based on the definition of a Hamiltonian for the newly discussed model. Eventually, the authors obtain exponential profiles solutions with the help of a scaling, that transforms the model into a nonlinear Hamilton–Jacobi equation.Originality/valueThe new model has not been previously reported in the literature. The authors consider that the mathematical properties of a p-laplacian (in particular the property known as finite propagation) is of inherent interest to model pressure drive flames with slow or fast diffusion. Indeed, the authors’ approach has the value of providing an operator that can fit better to model flame propagation. In addition, the authors introduce a general form of chemical kinetics, to make the authors’ model further general.
目的利用p-拉普拉斯算子研究非均匀介质中火焰的传播模型。这种操作符的目的是模拟在非均匀介质中可能出现的慢速和快速扩散的影响,这取决于压力驱动的条件。此外,作者还介绍了反应项的一般形式,即火焰化学动力学。设计/方法/方法为了引入控制方程,作者脱离了先前报道的火焰传播模型,但作者考虑了一种基于p-拉普拉斯算子的新建模方法。结果给出了解的正则性和唯一性的证据。然后,作者根据哈密顿量的定义,介绍了新讨论模型的平稳解的轮廓。最后,作者利用标度法将模型转化为非线性Hamilton-Jacobi方程,得到了指数曲线解。原创性/价值这个新模型在以前的文献中没有报道过。作者认为,p-拉普拉斯算子的数学性质(特别是有限传播的性质)对模拟具有缓慢或快速扩散的压力驱动火焰具有固有的兴趣。事实上,作者的方法提供了一个更适合模拟火焰传播的算子的价值。此外,作者还介绍了化学动力学的一般形式,使作者的模型进一步一般化。
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引用次数: 0
Supervised machine learning techniques for optimization of heat transfer rate of Cu-H2O nanofluid flow over a radial porous fin 优化Cu-H2O纳米流体在径向多孔翅片上流动传热速率的监督机器学习技术
IF 2 4区 材料科学 Q1 Mathematics Pub Date : 2023-05-29 DOI: 10.1108/mmms-08-2022-0153
J. Raza, M. Raza, Tahir Mustaq, M. Qureshi
PurposeThe purpose of this paper is to study the thermal behavior of radial porous fin surrounded by water-base copper nanoparticles under the influence of radiation.Design/methodology/approachIn order to optimize the response variable, the authors perform sensitivity analysis with the aid of response surface methodology (RSM). Moreover, this study enlightens the applications of artificial neural networks (ANN) for predicting the temperature gradient. The governing modeled equations are firstly non-dimensionalized and then solved with the aid of Runge–Kutta fourth order together with the shooting method in order to guess the initial conditions.FindingsNumerical results are analyzed and presented in the form of tables and graphs. This study reveals that the temperature of the fin is decreasing as the wet porous parameter increases (m2) and the temperature for 10% concentration of nanoparticles are higher than 5 and 1%. Physical parameters involved in the study are analyzed and processed through RSM. It is come to know that sensitivity of temperature gradient to radiative parameter (Nr) and convective parameter (Nc) is positive and negative to dimensionless ambient temperature (θa). Furthermore, after ANN training it can be argued that the established model can efficiently be used to predict the temperature gradient over a radial porous fin for the copper-water nanofluid flow.Originality/valueTo the best of our knowledge, only a few attempts have been made to analyze the thermal behavior of radial porous fin surrounded by copper-based nanofluid under the influence of radiation and convection.
目的研究水基铜纳米粒子包围的径向多孔翅片在辐射影响下的热行为。设计/方法/方法为了优化响应变量,作者借助响应面方法(RSM)进行灵敏度分析。此外,本研究对人工神经网络在温度梯度预测中的应用具有启示意义。首先对控制模型方程进行无量纲化,然后借助Runge–Kutta四阶和射击法进行求解,以猜测初始条件。数值结果以表格和图表的形式进行分析和呈现。该研究表明,翅片的温度随着湿多孔参数(m2)的增加而降低,并且10%浓度的纳米颗粒的温度高于5%和1%。通过RSM对研究中涉及的物理参数进行分析和处理。温度梯度对辐射参数(Nr)和对流参数(Nc)的敏感性对无量纲环境温度(θa)分别为正和负。此外,在ANN训练之后,可以认为所建立的模型可以有效地用于预测铜-水纳米流体流动的径向多孔翅片上的温度梯度。独创性/价值据我们所知,只有少数几次尝试分析铜基纳米流体包围的径向多孔翅片在辐射和对流影响下的热行为。
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引用次数: 2
Numerical investigation on the premature and extended contact behaviour of engineering thermoplastic gears and its effect in gear kinematics 工程热塑性齿轮过早和扩展接触行为及其在齿轮运动学中影响的数值研究
IF 2 4区 材料科学 Q1 Mathematics Pub Date : 2023-05-24 DOI: 10.1108/mmms-11-2022-0242
S. Vignesh, A. Johnney Mertens
PurposeThis research work aims to determine the maximum load a thermoplastic gear can withstand without the occurrence of extended contact. The extended contact of polymer gears is usually overlooked in basic design calculations, although it considerably affects the gear's load-carrying ability. Although various researchers highlighted the phenomenon, an extensive investigation of the extended contact behaviour is limited. Hence the work aims to investigate the premature and extended contact behaviour of thermoplastic gears and its effect in the gear kinematics, bending stiffness, stresses induced and the roll angle subtended by the gear pair.Design/methodology/approachThe work uses finite element method to perform quasi-static two-dimensional analysis of the meshing gear teeth. The FE model was developed in AutoCAD and analysed using ANSYS 19.1 simulation package. A three-dimensional gear model with all the teeth is computationally intensive for solving a static analysis problem. Hence, planar analysis with a reduced number of teeth is considered to reduce the computational time and difficulty.FindingsThe roll angle subtended at the centre by the path of approach is higher than the path of recess because of the increased load sharing. The contact stress profile followed a unique R-F-R-F pattern in the premature and extended contact regions due to the driven tip-driver flank surface contact. A non-dimensional parameter was formulated correlating the young's modulus, the load applied and deflection induced that can be utilised to predict the occurrence of premature and extended contact in thermoplastic gears.Originality/valueThe gear rating standards for polymer gears are formulated from the conventional metal gears which does not include the effect of gear tooth deflection. The work attempts to explain the gear tooth deflection for various standard thermoplastics and its effect in kinematics. Likewise, a new dimensionless number was introduced to predict the extended contact that will help in appropriate selection of load reducing the possibility of wear.
目的本研究旨在确定热塑性齿轮在不发生长时间接触的情况下所能承受的最大载荷。聚合物齿轮的延伸接触在基本设计计算中通常被忽视,尽管它会极大地影响齿轮的承载能力。尽管不同的研究人员强调了这一现象,但对长时间接触行为的广泛调查是有限的。因此,本工作旨在研究热塑性齿轮的过早和扩展接触行为及其对齿轮运动学、弯曲刚度、引起的应力和齿轮副所面对的滚动角的影响。设计/方法/方法该工作使用有限元方法对啮合轮齿进行准静态二维分析。在AutoCAD中开发了有限元模型,并使用ANSYS 19.1仿真软件包进行了分析。具有所有齿的三维齿轮模型对于解决静态分析问题是计算密集型的。因此,考虑减少齿数的平面分析,以减少计算时间和难度。发现由于载荷分担增加,接近路径对中心的滚动角高于凹陷路径。接触应力分布在过早和延长的接触区域中遵循独特的R-F-R-F模式,这是由于被驱动的尖端驱动器侧面表面接触。建立了一个无量纲参数,该参数与杨氏模量、施加的载荷和引起的挠度相关,可用于预测热塑性齿轮中过早和长期接触的发生。独创性/价值聚合物齿轮的齿轮额定值标准是根据传统金属齿轮制定的,不包括轮齿偏转的影响。该工作试图解释各种标准热塑性塑料的轮齿偏转及其在运动学中的影响。同样,引入了一个新的无量纲数来预测扩展接触,这将有助于适当选择负载,降低磨损的可能性。
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Multidiscipline Modeling in Materials and Structures
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