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Nonlinear Analysis of Cable Structures with Geometric Constraints 具有几何约束的索结构非线性分析
IF 1.2 Q3 Engineering Pub Date : 2023-02-06 DOI: 10.13052/ejcm2642-2085.3141
P. Joli, N. Azouz, Manel Ben Wezdou, J. Néji
The purpose of this paper is the modelling in large displacement of systems composed of a rigid platform suspended by flexible cables, as can be observed in lifting systems of a construction crane or in cable-driven parallel robots (CDPRs). A recent approach has been proposed in the literature to model the nonlinear behavior of a cable element based on three dimensional catenary elastic modelling and the general displacement control method (GDCM) as solver. In this paper, two modifications of this method are proposed to take into account the geometric constraints coupling the large displacements of the cable extremities. The first approach is to consider these constraints using penalty functions thus modifying the tangent stiffness matrix and the second method by adding external explicit elastic forces. These two methods are tested and compared by using numerical examples. The first method is numerically safer because it is not dependent on the poor numerical conditioning of the cable’stiffness matrix encountered when internal cable’s tension cannot balance the external forces.
本文的目的是对由柔性缆索悬挂的刚性平台组成的系统进行大位移建模,这可以在建筑起重机的提升系统或缆索驱动的并联机器人(CDPR)中观察到。文献中最近提出了一种基于三维悬链线弹性建模和通用位移控制方法(GDCM)作为求解器的方法来对索单元的非线性行为进行建模。在本文中,考虑到耦合电缆末端大位移的几何约束,提出了对该方法的两种修改。第一种方法是使用惩罚函数来考虑这些约束,从而修改切线刚度矩阵,第二种方法是添加外部显式弹性力。通过算例对这两种方法进行了验证和比较。第一种方法在数值上更安全,因为它不依赖于当内部缆索的张力无法平衡外力时遇到的缆索刚度矩阵的较差数值条件。
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引用次数: 1
Analysis of Factors Influencing Mechanical Properties of Corrugated Steel Based on Entropy Method 基于熵值法的波纹钢力学性能影响因素分析
IF 1.2 Q3 Engineering Pub Date : 2023-02-06 DOI: 10.13052/ejcm2642-2085.3144
Wang Taiheng, Li Wei, C. Meng, Liu Bin, Wang Jun
In recent years, corrugated steel has been used in some domestic tunnel construction for its large section and high strength, and has become a new type of tunnel support structure. Corrugated steel mechanical properties will directly affect the stability of support structure. Therefore, the important thing is to choose the appropriate parameter to improve the mechanical performance of ripples. Parameters that affecting the mechanical properties of corrugated steel include wave height, corrugation thickness and wave distance. This massage will rely on the Qipan Mountain tunnel project, studying its fabricated corrugated steel supporting structure, and selects corrugated steel with different thicknesses, wave heights and corrugated spans for transient analysis. The largest deformation of corrugated steel under blasting shock is calculated by numerical simulation to react the corrugated steel mechanical properties, and then use the method of Entropy to determine the influence of different parameter values on mechanical performance of corrugated steel. The weight coefficient of wave thickness is 92.38%, the influence weight coefficient of wave height is 7.54%, and the influence weight coefficient of wave short is 0.07%. It is shows that the thickness has the greatest influence on the mechanical properties of the supporting structure, and the wave distance has no influence. Through the above analysis, the parameter design and stability design of corrugated steel support structure can be given some reference and help.
近年来,波纹钢因其断面大、强度高,已在国内一些隧道施工中得到应用,成为一种新型的隧道支护结构。波纹钢的力学性能将直接影响支撑结构的稳定性。因此,重要的是选择合适的参数来提高波纹的力学性能。影响波纹钢力学性能的参数有波高、波纹厚度和波距。本文将依托七盘山隧道工程,对其装配式波纹钢支撑结构进行研究,选取不同厚度、波高、波纹跨度的波纹钢进行瞬态分析。通过数值模拟计算波纹钢在爆破冲击作用下的最大变形,以反应波纹钢的力学性能,然后利用熵值法确定不同参数值对波纹钢力学性能的影响。波厚影响权重系数为92.38%,波高影响权重系数为7.54%,波短影响权重系数为0.07%。结果表明,厚度对支撑结构的力学性能影响最大,波距对支撑结构的力学性能影响不大。通过以上分析,可以为波纹钢支撑结构的参数设计和稳定性设计提供一定的参考和帮助。
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引用次数: 3
Bionic Mechanical Analysis of Dragonfly Wings: The Feasibility of Mesh Combination to Improve Structural Stiffness 蜻蜓翅膀的仿生力学分析:网格组合提高结构刚度的可行性
IF 1.2 Q3 Engineering Pub Date : 2023-02-06 DOI: 10.13052/ejcm2642-2085.3142
Yangyang Wei, Huidi Guo, S. Zhang, Jingyuan Li, Yihan Wang, Chajuan Liu
The nodes of the object will show different degrees of deformation and displacement or even damage over time. The mesh structure is flexible and different mesh shapes and arrangements will affect the structural stiffness of the object. The unique structure of dragonfly wing veins allows the dragonfly to withstand pressures several times higher than itself and to fly freely. This study is based on dragonfly wing bionics to disassemble the structure of dragonfly wing vein geometry. And it aims to investigate the deflection under different geometries and three-dimensional spatial structures by using the drawing software Auto CAD to draw dragonfly sample graphics, the finite element software Hyper mesh to build the model and the solver OptiStruct to analyze the structure of wrinkling, arching deflection, z-direction maximum displacement, y-direction maximum rotation angle, combined displacement test under the different loads. The results show that: (1) The dragonfly wing vein mesh structure can enhance the stiffness under load. (2) In contrast, the displacement deformation of quadrilateral and combined hexagonal is smaller. (3) The structural stiffness of quadrilateral hexagon is enhanced as the height of wrinkling and arching increases. (4) The improvement of grid deflection with membrane structure is better than that without membrane structure. According to the above experimental results, the quadrilateral wrinkling and hexagonal arching structure has a significant improvement on the load bearing and deflection of the mesh, and has the potential to make structural optimization of the mesh series products, which is suitable for practical application and promotion.
随着时间的推移,物体的节点会出现不同程度的变形和位移,甚至损坏。网格结构是柔性的,不同的网格形状和排列方式会影响物体的结构刚度。蜻蜓翼脉的独特结构使蜻蜓能够承受比自身高数倍的压力,自由飞翔。本研究以蜻蜓翅膀仿生学为基础,对蜻蜓翅膀脉络的几何结构进行了解构。采用绘图软件Auto CAD绘制蜻蜓样图,有限元软件Hyper mesh建立模型,求解器OptiStruct分析蜻蜓在不同荷载作用下的起皱、拱型挠度、z方向最大位移、y方向最大转角、组合位移试验,研究蜻蜓在不同几何形状和三维空间结构下的挠度。结果表明:(1)蜻蜓翼脉网结构可以提高载荷下的刚度。(2)相比之下,四边形和组合六边形的位移变形较小。(3)随着起皱和拱高的增加,四边形六边形的结构刚度增强。(4)膜结构对栅格挠度的改善效果优于无膜结构。根据上述实验结果,四边形起皱和六边形拱起结构对网格的承载和挠度有明显的改善,具有对网格系列产品进行结构优化的潜力,适合实际应用和推广。
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引用次数: 3
Research on Hydraulic Power System Operation Status Diagnosis Technology Based on Hybrid CNN Model 基于混合CNN模型的液压动力系统运行状态诊断技术研究
IF 1.2 Q3 Engineering Pub Date : 2022-11-26 DOI: 10.13052/ejcm2642-2085.3133
Rundong Shen, Kechang Zhang, Jinyan Shi
Aiming at the problems that the features extracted from the traditional system operation state are not adaptive and the specific system operation state is difficult to match, a gearbox system operation state diagnosis method based on continuous wavelet transform (CWT) and two-dimensional convolutional neural network (CNN) is proposed. The method uses the continuous wavelet transform to construct the time-frequency map of the hydrodynamic system operating state signal, and uses it as the input to construct a convolutional neural network model, and forms a deep distributed system operating state feature expression through a multilayer convolutional pool. The structural parameters of each layer of the network are adjusted by the back propagation algorithm to establish an accurate mapping from the signal characteristics to the system operating state. In the experiments under different working conditions and different system operation states, the accuracy of system operation state recognition reaches 99.2%, which verifies the effectiveness of the method. Using this method of adaptively learning rich information in the signal can provide a basis for intelligent system operation state diagnosis.
针对传统系统运行状态提取的特征不具有自适应性和特定系统运行状态难以匹配的问题,提出了一种基于连续小波变换和二维卷积神经网络的齿轮箱系统运行状态诊断方法。该方法利用连续小波变换构建水动力系统运行状态信号的时频图,并以此为输入构建卷积神经网络模型,通过多层卷积池形成深度分布式系统运行状态特征表达式。通过反向传播算法调整网络的每一层的结构参数,以建立从信号特性到系统操作状态的精确映射。在不同工作条件和不同系统运行状态下的实验中,系统运行状态识别的准确率达到99.2%,验证了该方法的有效性。利用这种自适应学习信号中丰富信息的方法,可以为智能系统运行状态诊断提供依据。
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引用次数: 0
Prediction Method of Heavy Load Wheel/Rail Wear Mechanical Properties Based on GA-BP Hybrid Algorithm 基于GA-BP混合算法的重载轮轨磨损力学性能预测方法
IF 1.2 Q3 Engineering Pub Date : 2022-11-26 DOI: 10.13052/ejcm2642-2085.3134
Xiao Xue, Yangbin Zheng, Xin Wang
Due to its large axle load and high-density operation mode, heavy haul transportation has greatly improved the cargo transportation capacity, and is receiving unprecedented attention from all countries in the world. Since the development of heavy haul freight transport in China, wheel rail wear has been paid much attention, especially the use of heavy axle load locomotives on upgraded heavy haul lines, which makes reducing wheel rail wear and damage become a technical problem to be solved urgently. Considering that there are too many mechanical parameters involved in the prediction of heavy load wheel rail wear mechanical properties, the prediction accuracy is reduced. Therefore, this paper proposes a method based on GA-BP hybrid algorithm to predict the mechanical properties of heavy load wheel/rail wear. Hertz contact theory is used to simplify the wheel rail contact relationship, and the wheel rail contact model is established. According to the wheel/rail contact model, the expressions of heavy load wheel/rail in the case of vertical, horizontal, direction and gauge irregularity are analyzed, and based on this, a mechanical model of heavy load wheel/rail wear is established. In order to solve the problems of slow convergence speed and easy to fall into local optimum of BP neural network in the prediction of heavy load wheel/rail wear mechanical properties, the global convergence of genetic algorithm is used to optimize the BP network. According to the obtained mechanical parameters of heavy load wheel/rail wear, the mechanical parameters are input into the optimized model, and the relevant prediction results are output. So far, the research on the prediction method of heavy load wheel/rail wear mechanical properties based on GA-BP hybrid algorithm has been realized. The experiment is designed from three aspects of wear degree, hardness and tensile strength, and compared with the measured value, reference [4] method, reference [5] method and reference [6] method to verify the effectiveness of the proposed method. The experimental results show that the predicted results of wear degree, hardness and tensile strength by this method are closer to the measured results. It is proved that the proposed method has higher prediction accuracy and better practical application effect.
重载运输由于其轴重大、作业方式高密度,极大地提高了货物运输能力,受到世界各国前所未有的重视。自我国重载货运发展以来,轮轨磨损问题一直备受关注,尤其是重载机车在升级后的重载线路上的使用,使得减少轮轨磨损和损伤成为亟待解决的技术问题。考虑到重载轮轨磨损力学性能预测涉及的力学参数太多,预测精度降低。因此,本文提出了一种基于GA-BP混合算法的重载轮轨磨损力学性能预测方法。运用赫兹接触理论简化了轮轨接触关系,建立了轮轨接触模型。根据轮轨接触模型,分析了重载轮轨在垂直、水平、方向和轨距不平顺情况下的表达式,并在此基础上建立了重载轮轨磨损的力学模型。为了解决BP神经网络在重载轮轨磨损力学性能预测中收敛速度慢、容易陷入局部最优的问题,利用遗传算法的全局收敛性对BP网络进行了优化。根据获得的重载轮轨磨损力学参数,将力学参数输入到优化模型中,并输出相关预测结果。到目前为止,已经实现了基于GA-BP混合算法的重载轮轨磨损力学性能预测方法的研究。实验从磨损程度、硬度和抗拉强度三个方面进行设计,并与参考文献[4]方法、参考文献[5]方法和参考文献[6]方法的测量值进行比较,验证了所提出方法的有效性。实验结果表明,该方法对磨损程度、硬度和抗拉强度的预测结果与实测结果较为接近。实践证明,该方法具有较高的预测精度和较好的实际应用效果。
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引用次数: 2
Pseudospectral Approach to the Shape Optimization of Beams Under Buckling Constraints 屈曲约束下梁形优化的伪谱方法
IF 1.2 Q3 Engineering Pub Date : 2022-11-14 DOI: 10.13052/ejcm2642-2085.3132
H. M. Abdalla
In this article, a direct transcription approach to the minimization of the volume of elastic straight beams undergoing plane deformation and subject to buckling loads is presented. In particular, the so-called pseudospectral method is employed, where state variables are approximated by Lagrange interpolating polynomials and static equations are collocated at Legendre-Gauss-Radau nonuniform mesh points. The resulting shape optimization problems are thus transcribed into constrained nonlinear programming problems, which in turn are solved by developed routines. Historical benchmark and academic problems such as simply supported beams subject to a concentrated compressing force, compressed and rotating cantilever beams and simply supported beams under a non-conservative follower distributed load are revisited and numerically solved under the conditions of plane deformation theory. Numerical solutions are discussed and compared to those obtained by the shooting method, which is largely employed for these problems, emphasizing how the proposed method could forecast optimal cross sectional area distributions within a unified fashion and without resorting to accurate guesses beforehand.
本文提出了一种直接求解平面变形和屈曲载荷作用下弹性直梁体积最小化的方法。特别地,采用了所谓的伪谱方法,其中状态变量通过拉格朗日插值多项式近似,静态方程在勒让德-高斯-拉道非均匀网格点处并置。由此产生的形状优化问题被转化为约束非线性规划问题,这些问题又通过开发的例程来解决。在平面变形理论的条件下,对集中压缩力下的简支梁、压缩旋转悬臂梁和非保守从动件分布荷载下的简支梁等历史基准和学术问题进行了重新审视和数值求解。讨论了数值解,并将其与主要用于这些问题的射击方法获得的数值解进行了比较,强调了所提出的方法如何在不事先进行精确猜测的情况下,以统一的方式预测最佳横截面积分布。
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引用次数: 3
Numerical and Experimental Analysis of the Anisotropy Evolution in Aluminium Alloys Processed by Asymmetric Rolling 非对称轧制铝合金各向异性演化的数值与实验分析
IF 1.2 Q3 Engineering Pub Date : 2022-09-24 DOI: 10.13052/ejcm2642-2085.3131
G. Vincze, A. Lopes, M. Butuc, Jesús M. V. Yánez, D. Lopes, Laura Holz, Ana Graça, A. Pereira
One of the most important characteristics of the sheet metal is its anisotropy. Asymmetric rolling (ASR) shows to be an adequate process to change the material anisotropy by increasing the normal anisotropy and decreasing the planar anisotropy. In this work, it is analysed the relationship between anisotropy and texture evolution using experimental and numerical approaches. Experimentally, the texture is modified by rolling, involving symmetric (SR), asymmetric rolling continuous (ARC) and asymmetric reverse (ARR) routes and different reductions per pass. The numerical analysis was performed through the visco-plastic self-consistent model where two hardening laws were considered, namely the Voce-type (V) and the dislocation density-based model (DDR). The main objective of the numerical method was to test the performance of the VPSC model for large plastic deformation. The Lankford coefficients decrease in RD and increase in TD with the increase in the total thickness reduction. This trend observed experimentally is well captured by the VPSC model, however, in terms of R-value, an overestimation is observed in both cases with better results for Voce-type law.
金属薄板最重要的特性之一是其各向异性。不对称轧制(ASR)是一种通过提高材料的法向各向异性和降低材料的平面各向异性来改变材料各向异性的方法。本文采用实验和数值方法分析了各向异性与织构演化之间的关系。实验中,采用对称(SR)、非对称连续(ARC)和非对称反向(ARR)三种轧制方式对织构进行改性,每道次进行不同的还原。通过考虑两种硬化规律的粘塑性自一致模型进行数值分析,即voice -type (V)和基于位错密度的模型(DDR)。数值方法的主要目的是测试VPSC模型在大塑性变形下的性能。Lankford系数随总厚度减小而减小,随总厚度减小而增大。VPSC模型很好地捕捉了实验中观察到的这一趋势,然而,就r值而言,在两种情况下都观察到高估,对voice -type定律的结果更好。
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引用次数: 0
Analytical Solution for Thermoelastic Stress Wave Propagation in an Orthotropic Hollow Cylinder 正交各向异性空心圆柱中热弹性应力波传播的解析解
IF 1.2 Q3 Engineering Pub Date : 2022-08-20 DOI: 10.13052/ejcm2642-2085.3124
H. Sharifi
The problem of thermoelastic stress wave propagation in an orthotropic hollow cylinder is investigated using analytical methods. The fully coupled classical theory of thermoelasticity is used to extract the equations for an orthotropic cylinder. To solve the boundary value problem, heat conduction equation and equation of motion are divided into two different sets of equations, the first set consists of uncoupled equations with considering boundary conditions and the second set comprises coupled ones with initial conditions. Finite Hankel transform (Fourier-Bessel expansion) is utilized to solve the problem with respect to radial variable. Two different cases, pure mechanical load and pure thermal load, were studied numerically to show the effect of considering the thermomechanical coupling term in the heat conduction equation. To show the effect of considering the coupling term in the heat conduction equation, the temperature history is plotted for the pure mechanical load case, where the temperature rises without applying any thermal load. By applying boundary conditions on the inner surface of the cylinder, initiation of the stress waves from the inner surface of the cylinder, propagation through the thickness in the radial direction and reflection from the outer surface were observed in the plotted figures.
用解析方法研究了热弹性应力波在正交各向异性空心圆柱中的传播问题。利用热弹性的完全耦合经典理论提取正交各向异性圆柱的方程。为了解决边值问题,将热传导方程和运动方程分为两组不同的方程,第一组由考虑边界条件的非耦合方程组成,第二组由考虑初始条件的耦合方程组成。利用有限汉克尔变换(傅立叶-贝塞尔展开)来解决径向变量的问题。对纯机械载荷和纯热载荷两种不同的情况进行了数值研究,以表明在热传导方程中考虑热机械耦合项的影响。为了显示在热传导方程中考虑耦合项的影响,绘制了纯机械载荷情况下的温度历史,其中温度在不施加任何热载荷的情况下升高。通过在圆柱体内表面上施加边界条件,在绘制的图中观察到应力波从圆柱体内表面的萌生、沿径向通过厚度的传播以及从外表面的反射。
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引用次数: 3
Dynamics and Vibration Analysis of a Rotor-Bearing System in a Turbofan Engine with Emphasis on Bearings Modeling 涡扇发动机转子-轴承系统的动力学和振动分析——以轴承建模为重点
IF 1.2 Q3 Engineering Pub Date : 2022-08-20 DOI: 10.13052/ejcm2642-2085.3125
H. Rahmani, M. Elhami, Amin Moslemi Petrudi
In this research, while investigating the vibration analysis of rotary axes, we specifically investigate the rotor of a turbofan engine used in the industry. The features of this rotor range are high-performance, lightweight, and low-vibration range. These three factors are in contradiction with each other, resulting in a thorough examination of the total vibration of the complete turbofan rotor. To achieve this, various parameters such as the concentration of properties, rotational inertia, gyroscopic torque, rotational loading, effects of unbalanced mass, crevillous effects, bearing flexibility, etc. have been studied in modeling. The rotor’s natural frequencies, along with the critical velocity, are plotted as well as the shape of its modes. The software is required to perform the computations written by Ansys software and after ensuring its accuracy.
在本研究中,在研究旋转轴振动分析的同时,我们具体研究了工业上使用的涡扇发动机的转子。该转子系列的特点是高性能,轻量化,低振动范围。这三个因素是相互矛盾的,导致对完整涡扇转子的总振动进行彻底检查。为了实现这一点,在建模中研究了各种参数,如特性集中、转动惯量、陀螺仪扭矩、转动载荷、不平衡质量的影响、crevillous效应、轴承灵活性等。转子的固有频率,以及临界速度,以及其模态的形状都被绘制出来。该软件要求在保证计算精度的前提下,执行Ansys软件编写的计算。
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引用次数: 0
Prediction Method of Characteristic Value of Foundation Bearing Capacity Based on Machine Learning Algorithm 基于机器学习算法的地基承载力特征值预测方法
IF 1.2 Q3 Engineering Pub Date : 2022-08-13 DOI: 10.13052/ejcm2642-2085.3122
Xue Xiao, Zheng Yangbing, Wang Xin
In this paper, a prediction method of characteristic value of foundation bearing capacity based on machine learning algorithm is proposed. Firstly, the influencing factors of foundation bearing capacity are analyzed, and then the prediction parameters of foundation pressure strength and foundation strength are calculated. The prediction error was obtained by comparing the difference between the predicted value and the actual intensity, which was used as the optimization value to improve the accuracy of the prediction results of the characteristic values of the subsequent bearing capacity. Then, by calculating the characteristic parameters of foundation mechanics and establishing the boundary conditions of foundation bearing capacity, the mathematical model of foundation bearing capacity is constructed, so as to complete the analysis of the mechanical characteristics of foundation bearing capacity. The analysis results and foundation strength prediction parameters are input into the RBF neural network model. On the basis of optimizing parameter weights by the improved Relief algorithm, the prediction results of characteristic values of foundation bearing capacity are obtained by using the hyperparameters of THE RBF neural network algorithm. Experimental results show that the prediction results of this method are always in a controllable range, and the prediction error rate is between 1.21% and 1.35%, and the prediction time is between 30.1 min and 32.5 min, indicating that this method has high prediction accuracy and timeliness.
提出了一种基于机器学习算法的地基承载力特征值预测方法。首先分析了影响地基承载力的因素,然后计算了地基压力强度和地基强度的预测参数。通过对比预测值与实际强度的差值得到预测误差,并以此作为优化值,提高后续承载力特征值预测结果的精度。然后,通过计算基础力学特征参数,建立基础承载力的边界条件,构建基础承载力的数学模型,从而完成基础承载力的力学特性分析。将分析结果和地基强度预测参数输入到RBF神经网络模型中。在改进的Relief算法优化参数权重的基础上,利用the RBF神经网络算法的超参数得到地基承载力特征值的预测结果。实验结果表明,该方法的预测结果始终在可控范围内,预测错误率在1.21% ~ 1.35%之间,预测时间在30.1 ~ 32.5 min之间,表明该方法具有较高的预测精度和时效性。
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引用次数: 1
期刊
European Journal of Computational Mechanics
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