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Compound influence of surface and flexoelectric effects on static bending response of hybrid composite nanorod 表面和挠曲电效应对复合材料纳米棒静态弯曲响应的复合影响
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-05-09 DOI: 10.1177/03093247221096518
K. B. Shingare, Susmita Naskar
Nanoscale beams and rods are extensively used in several nano-electro-mechanical systems (NEMS) and their applications such as sensors and actuators. The surface and flexoelectricity phenomena have an extensive effect on nanosized structures and are related to their scale-dependent characteristics. This article presents the effect of different surface parameters and flexoelectricity on the electrostatic response of graphene-reinforced hybrid composite (GRHC) nanorods (NRs) using the theory of linear piezoelectricity, Euler-Bernoulli (EB), and Galerkin residual method. Based on these theories, the theoretical and finite element (FE) model is produced to investigate the static bending deflection of GRHC NRs when subjected to point and uniformly distributed load (UDL) considering different boundary conditions: cantilever (FC), fixed-fixed (FF), and simply supported (SS). This proposed FE model provides a useful tool for analyzing and investigating the outcomes of analytical models, which are found to be in good agreement. Our results presented in this article reveal that the effect of surface and flexoelectricity on the static bending response of GRHC NRs is noteworthy. These effects diminish with increased thickness/diameter of NR, and hence, these effects can be neglected for large-sized structures. The results presented here would help to identify the desired electrostatic response of GRHC NRs in terms of static bending response for a range of NEMS using different loading and boundary conditions as well as graphene volume fraction. This current study offers pathways for developing new proficient novel GRHC materials with enhanced control authority and present models can be exploited for numerous other materials as well as line-type structural systems such as beams, wires, rods, column/piers, and piles to study their global response.
纳米梁和纳米棒广泛应用于多种纳米机电系统及其应用,如传感器和执行器。表面电现象和挠性电现象对纳米结构有广泛的影响,并与它们的尺度依赖特性有关。本文利用线性压电理论、欧拉-伯努利(Euler-Bernoulli, EB)和伽辽金残差法研究了不同表面参数和挠性对石墨烯增强混杂复合材料(GRHC)纳米棒(nr)静电响应的影响。在此基础上,建立了GRHC NRs在点均布荷载(UDL)作用下的理论和有限元模型,研究了不同边界条件下GRHC NRs的静态弯曲挠度:悬臂(FC)、固定-固定(FF)和简支(SS)。本文提出的有限元模型为分析和调查分析模型的结果提供了一个有用的工具,这些分析模型的结果是一致的。我们的研究结果表明,表面电和挠性电对GRHC nr的静态弯曲响应的影响是值得注意的。这些影响随着NR厚度/直径的增加而减弱,因此,对于大尺寸结构,这些影响可以忽略不计。本文提出的结果将有助于确定GRHC nr在使用不同负载和边界条件以及石墨烯体积分数的NEMS范围内的静态弯曲响应方面的期望静电响应。目前的研究为开发具有增强控制权威的新型高效GRHC材料提供了途径,并且目前的模型可以用于许多其他材料以及线型结构系统,如梁、线、杆、柱/墩和桩,以研究它们的全局响应。
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引用次数: 2
Nonlinear dynamics of flexible diaphragm coupling’s rotor system during maneuvering flight 机动飞行中柔性膜片联轴器旋翼系统的非线性动力学
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-05-03 DOI: 10.1177/03093247221095281
Yinxin Yu, Kangkang Ding, Tianyu Zhao, Kuan Li
In this paper, the flexible multi-diaphragm coupling which is used as flexible power transmission shaft of the aeroengine accessory is taken as the research object, and the coupling stiffness matrix and axial nonlinear stiffness of the diaphragms are considered in the coupling rotor system. On this basis, in order to consider the influence of aircraft maneuvering load, in non-inertial system the bending-pendular-axial coupled differential equations of flexible diaphragm coupling were established by Lagrange method. The modal characteristics of the flexible diaphragm coupling were analyzed and compared with the finite element solutions, and the correctness of model is verified. Runge-Kutta method is used to solve and analyze the influence of different maneuvering flight conditions on the vibration characteristics of the flexible diaphragm coupling. The research indicates that the coupling between diaphragm’s axial and radial stiffness leads to the right shift of resonant region, the increase of resonance peak value, and the nonlinear characteristics of amplitude-frequency curve such as jump and multi-value. In the non-inertial system, only the installation distance a of the flexible diaphragm coupling along the wingspan leads to the increase of the axial deformation offset of the flexible diaphragm coupling in the rolling flight state. The increase of climbing or diving angular velocity makes the flexible diaphragm coupling’s vibration changes from single period to multi-period, bifurcation or chaos state; With the increase of diving angular velocity and rolling angular velocity, the axial critical speed gradually increases; Each flight condition not only affects the vibration characteristics, but also causes the axial, radial and angular deformation of the flexible diaphragm coupling to a certain extent. This study provided a theoretical basis and method for the design and analysis of diaphragm coupling.
本文以作为航空发动机附件柔性动力传动轴的柔性多膜片联轴器为研究对象,考虑了联轴器转子系统中膜片的耦合刚度矩阵和轴向非线性刚度。在此基础上,考虑飞机机动载荷的影响,采用拉格朗日方法建立了非惯性系统下柔性膜片耦合器的弯-摆-轴耦合微分方程。对柔性膜片联轴器的模态特性进行了分析,并与有限元解进行了比较,验证了模型的正确性。采用龙格-库塔法求解并分析了不同机动飞行条件对柔性膜片联轴器振动特性的影响。研究表明,膜片轴向刚度与径向刚度的耦合导致膜片谐振区域右移,共振峰值增大,幅频曲线呈现跳变、多值等非线性特征。在非惯性系统中,只有挠性膜片联轴器沿翼展的安装距离a才会导致挠性膜片联轴器在滚动飞行状态下轴向变形偏移量的增加。爬升或俯冲角速度的增大使柔性膜片联轴器的振动由单周期状态变为多周期状态、分岔状态或混沌状态;随着俯冲角速度和翻滚角速度的增大,轴向临界转速逐渐增大;各种飞行工况不仅影响振动特性,还会在一定程度上引起柔性膜片联轴器的轴向、径向和角向变形。该研究为膜片联轴器的设计和分析提供了理论依据和方法。
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引用次数: 3
A mesh refinement scheme for fourth order bi-harmonic equation of mixed boundary-value elastic problems 混合边值弹性问题四阶双调和方程的网格细化格式
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-05-03 DOI: 10.1177/03093247221097031
A. I. Khan, P. Sarkar, A. Akanda
Fourth order bi-harmonic equation is extensively used for stress-strain analysis of mixed boundary-value elastic problems. However, currently existing uniform mesh scheme based on finite difference method (FDM) needs vast amount of computational resources and efforts for an acceptable solution. Therefore, in this study, a mesh refinement (MR) scheme based on FDM is developed to solve fourth order bi-harmonic equation effectively. The developed MR scheme allows high resolution computation in sub-domains of interest and relatively low resolution in other regions which overcomes the memory exhausting problems associating with the traditional uniform mesh based FDM. In this paper, sub-domain that needs high resolution (mesh refinement) are identified based on gradient of stress and displacement vectors. A very high gradient in any region signifies the need of fine mesh because coarse grained meshes are not adequate to capture the sharply changing stresses or displacements. Once the sub-domains of interest are identified, the mesh refinement is done by splitting course meshes into smaller meshes. Several new stencils are created to satisfy the fourth order by harmonic equation and associated boundary conditions over the various sizes of meshes. The developed MR scheme has been applied to solve several classical mixed boundary-value elastic problems to show its applicability. In addition, the validity, effectiveness, and superiority of the MR scheme have been established by comparing of obtained solutions with uniform mesh results, finite element method (FEM) results, and the well-known analytical results. Our results show that the developed MR scheme can provide a more reliable and accurate result than the conventional uniform mesh scheme with a reduced number of equations, thus, saves a huge amount of computational memory.
四阶双调和方程广泛用于混合边值弹性问题的应力-应变分析。然而,现有的基于有限差分法(FDM)的均匀网格方案需要大量的计算资源和努力才能得到一个可接受的解决方案。因此,本研究提出了一种基于FDM的网格细化(MR)方案来有效地求解四阶双谐波方程。该方案允许在感兴趣的子域进行高分辨率计算,而在其他区域进行相对低分辨率计算,从而克服了传统基于均匀网格的FDM的内存耗尽问题。本文基于应力和位移矢量的梯度来识别需要高分辨率的子域(网格细化)。在任何区域,一个非常高的梯度意味着需要细网格,因为粗粒度网格不足以捕捉急剧变化的应力或位移。一旦确定了感兴趣的子域,就通过将课程网格划分为更小的网格来进行网格细化。利用调和方程和相关的边界条件,在不同尺寸的网格上建立了满足四阶的新模板。将所建立的MR格式应用于若干经典的混合边值弹性问题,以证明其适用性。此外,通过将所得到的解与均匀网格计算结果、有限元法计算结果以及众所周知的解析结果进行比较,证实了MR方案的有效性、有效性和优越性。研究结果表明,所开发的MR方案比传统的均匀网格方案更可靠、更准确,并且减少了方程数量,从而节省了大量的计算内存。
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引用次数: 0
Flat and rounded contacts: Modelling the effect of a moment with application to fretting fatigue tests 平触点和圆触点:在微动疲劳试验中应用瞬间效应建模
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-04-07 DOI: 10.1177/03093247221089548
J.P.J. Truelove, D. Hills, Luke E Blades
The problem of elastic indentation by a punch having the form of a flat front face but with edge rounding, and subject to both a normal load and moment, indenting an elastically similar half-plane is considered. Contact pressure in the neighbourhood of the edges shows a local peak, and the object of the paper is to show how different combinations of normal load and moment can give rise to the same near edge behaviour and peak pressure. The result found is very simple, and of direct practical application in fretting fatigue studies, both analytical and experimental.
研究了一种前面为平面但边缘为圆角的冲床在正常载荷和弯矩作用下压痕弹性相似半平面的弹性压痕问题。边缘附近的接触压力显示局部峰值,本文的目的是显示正常载荷和力矩的不同组合如何产生相同的近边行为和峰值压力。所得结果非常简单,可直接应用于微动疲劳的分析和实验研究。
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引用次数: 0
Effect of fillers on compression loading performance of modified re-entrant honeycomb auxetic sandwich structures 填料对改进型蜂窝状夹层结构压缩加载性能的影响
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-03-09 DOI: 10.1177/03093247221083210
Nadimul Haque Faisal, Lindsay ‐ Scott, Findlay Booth, S. Duncan, Abbi McLeod, Mohamad Ghazi Droubi, J. Njuguna
The auxetic sandwich panels for structures have been designed to provide impact protection. The aim of this work is to modify an auxetic (re-entrant) honeycomb cell to reduce the stress concentrations within the cell structure, and further enhancement of this design. The auxetic structure was filled to achieve a greater energy absorbance and enhance safety applications. Analytical and elastic three-dimensional finite element approaches were used to investigate the structural strength performance. The basic model (i.e. modified re-entrant strut cell design) consisted of the honeycomb auxetic polypropylene (PP) structure sandwiched between two steel plates (known as safety panels) which were placed under static compression loading. The cell geometry and size were then modified to reduce the stress concentration zones. The structure cells were filled with silly putty and polyvinyl chloride (PVC) foam. The effect of the filling the cells on the stress concentration and energy absorbance were analysed using elastic stress and deformation analysis methods. During the stress path analysis, it was found that an increase in Young’s modulus of the filling was directly proportional to a decrease in internal stresses. It was concluded that while filling the basic model with soft materials reduced the stress concentration, but it led to a reduction in the energy absorbance capability. Further on, the lower stress produced by the enhanced could be useful to prevent significant penetration of the protective panel. Compared to similar structures of steel, auxetic foam panels have the advantage of having only a fraction of the weight and being corrosion resistant at the same time as keeping impact strength. Graphical abstract
用于结构的辅助夹芯板设计用于提供冲击保护。这项工作的目的是修改一个auxetic(重入式)蜂窝细胞,以减少细胞结构内的应力集中,并进一步加强这种设计。填充的消声结构,以实现更大的能量吸收,提高安全性应用。采用解析和弹性三维有限元方法对结构强度性能进行了研究。基本模型(即改进的再入式支撑单元设计)由蜂窝聚丙烯(PP)结构夹在两块钢板(称为安全板)之间组成,钢板置于静压缩载荷下。然后修改细胞的几何形状和大小,以减少应力集中区。结构单元由腻子和聚氯乙烯(PVC)泡沫填充。采用弹性应力和变形分析的方法,分析了填充单元对应力集中和吸能的影响。应力路径分析发现,充填体杨氏模量的增加与内应力的减小成正比。结果表明,用软质材料填充基本模型虽然降低了应力集中,但降低了吸能能力。此外,由增强材料产生的较低应力可用于防止保护板的显著渗透。与类似的钢结构相比,消声泡沫板的优点是重量只有钢的一小部分,而且在保持冲击强度的同时耐腐蚀。图形抽象
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引用次数: 2
Optimal shaft-hub connections 最佳轴毂连接
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-03-09 DOI: 10.1177/03093247221080016
Niels Leergaard Pedersen
In all power transmitting machines the shaft-hub connection has a large impact on the overall machine size, if the strength can be increased we can reduce the size. The connection between shaft and hub is a machine element with many possible designs available and described in standards. The connection can be either permanent or changeable, the goal is in all cases to have as high a strength for the connection as possible. Focus is in the present paper on the connections with easy assembly and disassembly, that is, on positive connections (geometrically locked). The designs specified in standards are traditionally made with straight lines and circular arches. Alternatively the involute spline can be used. For this case the cutting tool shape is made with straight lines and circular arches. Present standard designs are not made with minimum stress concentrations as the main objective, other features as for example, easy manufacturing has the primary importance. In the present paper we show how the involute spline design can be significantly improved in relation to strength maximization by reducing the maximum stress. The maximum stress can in many cases be reduced by more than 54 % relative to standard design.
在所有动力传动机械中,轴-毂连接对整机尺寸影响很大,如果能提高强度就能减小尺寸。轴和轮毂之间的连接是一个机械元件,有许多可能的设计,并在标准中描述。连接可以是永久的,也可以是可变的,在所有情况下,目标都是使连接具有尽可能高的强度。本文的重点是易于组装和拆卸的连接,即正连接(几何锁定)。标准中规定的设计传统上是用直线和圆拱制成的。也可以使用渐开线花键。在这种情况下,刀具形状是由直线和圆拱制成的。目前的标准设计不是以最小的应力集中为主要目标,其他特征,例如,易于制造是最重要的。在本文中,我们展示了渐开线花键设计如何通过减少最大应力来显著改善强度最大化。在许多情况下,相对于标准设计,最大应力可以降低54%以上。
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引用次数: 1
Optimization of design and fatigue simulations for an electric assisted bicycle frame using uniform design and grey relational analysis 基于均匀设计和灰色关联分析的电动辅助自行车车架优化设计及疲劳仿真
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-03-03 DOI: 10.1177/03093247221081587
Sen-Yung Lee, Cho-Pei Jiang, C. Lee, Weicheng Huang, Yung-Chang Cheng
The electric assisted bicycle is the new transportation tool in the 21st century. The proposal of this article is to upgrade the fatigue safety factor for an electric assisted bicycle frame by integrating the uniform design, Kriging interpolation, entropy weighting method, grey relational analysis, and genetic algorithm. According to EN 15194 standard, the main objective function, the fatigue safety factor for an electric assisted bicycle frame is examined by ANSYS/Workbench software under three fatigue testing simulations. Five geometry parameters of an electric assisted bicycle frame are nominated to be the improved control factors. Since all control factors are continuous in the design space, the uniform design is certainly developed to construct a series of simulation experiments. For each model in the uniform design table, the fatigue finite element analysis is utilized to calculate the fatigue safety factor. Applying the multi-objective optimization procedure, the optimal design version of an electric bicycle frame has been obtained. For the fatigue safety factor, the revised design model has a maximum improvement of 19.59% when compared to the original design. Summery, the fatigue safety factor has been effectively elevated by executing the innovative multi-objective optimization procedure for an electric assisted bicycle frame system.
电动助力自行车是21世纪的新型交通工具。结合均匀设计法、Kriging插值法、熵权法、灰色关联分析法和遗传算法,对电动辅助自行车车架的疲劳安全系数进行提升。以en15194标准为主要目标函数,利用ANSYS/Workbench软件对某电动辅助自行车车架的疲劳安全系数进行了三次疲劳模拟试验研究。提出了电动助力自行车车架的5个几何参数作为改进控制因素。由于所有控制因素在设计空间中都是连续的,因此必然会发展均匀设计来构建一系列的仿真实验。对于均匀设计表中的各个模型,采用疲劳有限元分析计算疲劳安全系数。应用多目标优化程序,得到了电动自行车车架的最优设计版本。在疲劳安全系数方面,修正后的设计模型与原设计相比,最大提高了19.59%。采用创新的多目标优化方法,有效地提高了电动助力自行车车架系统的疲劳安全系数。
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引用次数: 2
Finite element analysis, prediction, and optimization of residual stresses in multi-pass arc welding with experimental evaluation 多道次弧焊残余应力的有限元分析、预测与优化及实验评价
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-02-23 DOI: 10.1177/03093247221078637
Behzad Amirsalari, S. Golabi
Prediction and reduction of unwanted tensile Residual Stress of welded stainless-steel plates is presented in this paper. Validated finite element analysis and Artificial Neural Network (ANN) is employed to simulate and mathematically model the process, respectively. Taguchi design of experiments tool is utilized to generate input data for finite element analyses and also to choose the most accurate ANN structures. RSs are minimized using three methods: Taguchi suggestion, Comprehensive factorial search, and Particle Swarm Optimization, whose accuracy and response pace increases and decreases respectively in this order. Furthermore, adding and removing extra weld lines was proposed to reduce unwanted residual stresses by up to 50%. Finally, the shapes and amounts of results are experimentally verified using contour method and proposed novel application of roughness testing. Micro-grain structures of the welded samples were also investigated, and RSs were discussed considering metallography images.
本文介绍了不锈钢焊接板拉伸残余应力的预测和减少方法。采用经过验证的有限元分析和人工神经网络(ANN)分别对该过程进行了仿真和数学建模。利用实验工具的田口设计生成有限元分析的输入数据,并选择最精确的神经网络结构。采用田口建议、综合析因搜索和粒子群优化三种方法最小化RSs,其准确性和响应速度依次增大和减小。此外,建议增加和删除额外的焊缝,以减少高达50%的不必要的残余应力。最后,用轮廓法对结果的形状和数量进行了实验验证,并提出了粗糙度测试的新应用。对焊接试样的微观组织进行了研究,并结合金相图像对RSs进行了讨论。
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引用次数: 1
Hole-drilling method eccentricity error correction using a convolutional neural network 基于卷积神经网络的钻孔偏心误差校正方法
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-02-22 DOI: 10.1177/03093247221080013
Jun Wu, B. Qiang, X. Liao, Yanmei Huang, Changrong Yao, Yadong Li
Hole eccentricity is an important error source when residual stress is measured via the hole-drilling method. The conventional ways to correct eccentricity error for hole-drilling residual stress measurement rely on complicated mathematical processes and are difficult to use. To overcome this shortcoming, this paper proposes a method that uses a convolutional neural network to correct for the hole-drilling method eccentricity error. First, the hole-drilling method measurement process in uniform biaxial stress field is simulated via the finite element method. The influence of the eccentric distance, eccentric angle, and stress ratio on the strain measurement error is discussed. Then, a convolutional neural network is trained using simulated data and the hole-drilling method strain measurement error is predicted for arbitrary eccentricity conditions. Finally, the residual stress is corrected by introducing the strain error into its equation. The simulated residual stresses of ten eccentric measurement points in predefined stress fields are corrected using this procedure to conducted numerical tests. The maximum error of simulated stresses decreased from 30.46% to −4.67% after correction. Therefore, the hole eccentricity has a significant influence on the residual stress measurement accuracy of hole-drilling method. The proposed correction method can effectively eliminate this error.
钻孔法测量残余应力时,孔偏心是一个重要的误差源。传统的钻孔残余应力测量偏心误差校正方法依赖于复杂的数学过程,难以应用。为了克服这一缺点,本文提出了一种利用卷积神经网络对钻孔法偏心误差进行校正的方法。首先,通过有限元方法模拟了均匀双轴应力场下钻孔法测量过程。讨论了偏心距离、偏心角度和应力比对应变测量误差的影响。然后,利用模拟数据训练卷积神经网络,预测任意偏心条件下钻孔法应变测量误差;最后,通过在方程中引入应变误差对残余应力进行修正。利用该方法对预定应力场中十个偏心测点的模拟残余应力进行了校正,并进行了数值试验。模拟应力的最大误差由30.46%减小到- 4.67%。因此,孔偏心对钻孔法残余应力测量精度有显著影响。提出的修正方法可以有效地消除这种误差。
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引用次数: 0
Bending analysis of nanobeams based on the integral form of nonlocal elasticity using the numerical Rayleigh-Ritz technique 基于非局部弹性积分形式的纳米梁弯曲分析
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-02-22 DOI: 10.1177/03093247221076249
M. F. Oskouie, R. Ansari, H. Rouhi
The nonlocal theory is commonly applied for nanomaterials due to its capability in considering size influences. Available studies have shown that the differential version of this theory is not suitable for some problems such as bending of cantilever nanobeams, and the integral version must be used to avoid obtaining inconsistent results. Therefore, an attempt is made in this paper to propose an efficient variational formulation based on the integral nonlocal model for the analysis of nanobeams. The formulation is developed in a general form so that it can be used for arbitrary kernel functions. The nanobeams are modeled using the Bernoulli-Euler beam theory, and their bending behavior is analyzed. Derivation of governing equations is performed according to an energy-based approach. Also, a numerical approach based on the Rayleigh-Ritz method is developed for the solution of problem. Moreover, the results of integral and differential models are compared. It is revealed that by the proposed numerical solution, the paradox in the behavior of nanocantilever is resolved.
非局部理论由于其考虑尺寸影响的能力而被广泛应用于纳米材料。已有研究表明,该理论的微分版本不适用于悬臂纳米梁弯曲等问题,必须使用积分版本以避免得到不一致的结果。因此,本文试图提出一种基于积分非局部模型的有效变分公式来分析纳米梁。该公式以一般形式发展,因此它可以用于任意核函数。采用伯努利-欧拉梁理论对纳米梁进行了建模,并对其弯曲性能进行了分析。根据基于能量的方法推导控制方程。同时,提出了基于瑞利-里兹法的数值求解方法。并对积分模型和微分模型的计算结果进行了比较。结果表明,所提出的数值解解决了纳米反杠杆行为中的悖论。
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引用次数: 2
期刊
Journal of Strain Analysis for Engineering Design
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