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Natural frequencies analysis of functionally graded circular cylindrical shells 功能梯度圆柱壳的固有频率分析
Q4 Chemical Engineering Pub Date : 2021-10-01 DOI: 10.24132/acm.2021.654
Nabeel Alshabatat, Mohammad Zannon
In the present work, a study on natural frequencies of functionally graded materials (FGM) circular cylindrical shells is presented. TheFGM is considered to be a mixture of two materials. The volumetric fractions are considered to vary in the radial direction (i.e., through the thickness) in compliance with a conventional power-law distribution. The equivalent material properties are estimated based on the Voigt model. The analysis of the FGM cylindrical shells is performed using the third-order shear deformation shell theory and the principle of virtual displacements. Moreover, the third-order shear deformation shell theory coupled with Carrera’s unified formulation is applied for the derivation of the governing equations associated with the free vibration of circular cylindrical shells. The accuracy of this method is examined by comparing the obtained numerical results with other previously published results. Additionally, parametric studies are performed for FGM cylindrical shells with several boundary conditions in order to show the effect of several design variables on the natural frequencies such as the power-law exponent, the circumferential wave number, the length to radius ratio and the thickness to radius ratio.
本文对功能梯度材料圆柱壳的固有频率进行了研究。女性生殖器切割被认为是两种材料的混合物。体积分数被认为在径向方向(即通过厚度)上根据传统的幂律分布而变化。等效材料特性基于Voigt模型进行估算。利用三阶剪切变形壳理论和虚位移原理对FGM圆柱壳进行了分析。此外,将三阶剪切变形壳理论与Carrera统一公式相结合,推导了圆柱壳自由振动的控制方程。通过将所获得的数值结果与先前发表的其他结果进行比较,检验了该方法的准确性。此外,还对具有几种边界条件的FGM圆柱壳进行了参数研究,以表明几种设计变量对固有频率的影响,如幂律指数、周向波数、长径比和厚径比。
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引用次数: 1
A New Solution for the Classical Problem of a Rigid Body Motion in a Liquid 液体中刚体运动经典问题的新解
Q4 Chemical Engineering Pub Date : 2021-10-01 DOI: 10.22055/JACM.2021.38552.3245
H. Yehia, S. Megahid
We consider the problem of the motion of a rigid body-gyrostat immersed in an incompressible ideal fluid. Based on Yehia's study [1, 2], the equations of the motion of the problem are introduced and they are reduced to the orbital equation. This reduced equation may be used to study the stability of certain motions of the body [3] and to obtain solutions for the classical problems in rigid body dynamics [4]. Using the orbital equation, a single new solution of the considered problem is obtained in which the angle between the body axis of symmetry and the vertical axis is constant.
研究了一个刚体陀螺浸入不可压缩理想流体中的运动问题。基于Yehia的研究[1,2],引入了问题的运动方程,并将其简化为轨道方程。该简化方程可用于研究物体[3]某些运动的稳定性,并可得到刚体动力学经典问题[4]的解。利用轨道方程,得到了物体对称轴与垂直轴夹角不变的单一新解。
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引用次数: 0
Design of Doubly Salient Permanent Magnet Generator for Output Power Enhancement using Structural Modification 利用结构改进提高输出功率的双凸极永磁发电机的设计
Q4 Chemical Engineering Pub Date : 2021-10-01 DOI: 10.22055/JACM.2021.37952.3131
Pattasad Seangwong, A. Siritaratiwat, W. Sriwannarat, N. Fernando, P. Khunkitti
The doubly salient permanent magnet generator (DSPMG) is widely known as an efficient machine for electrical production from renewable energy. In this paper, we aim to improve the output power of the DSPMG using a structural modification, which is targeted for low-speed electrical generations. Structural parameters including the stator pole depth, thickness of permanent magnet, stator pole arc, and number of winding turns were adjusted, then an optimal value of those parameters was selected based on the characteristics of the generator tested during no-load and on-load conditions. Simulations were based on the finite element method. The generator was targeted to be used for the rated power of 200 W. It was found that the optimally designed generator had a higher electromotive force of 36.1%, a lower cogging torque of 20%, and a higher output power of 12.2% than the conventional structure. The leakage flux of the proposed structure was also improved from the conventional one. Thus, the generator designed in this work could be another capable choice for electrical generation from renewable energy. The proposedly modified technique can also be adapted for output profile improvement of the doubly salient permanent magnet machines which are extensively used for renewable energy production nowadays.
双凸极永磁发电机(DSPMG)被广泛认为是一种利用可再生能源发电的高效机器。在本文中,我们的目标是通过针对低速发电的结构修改来提高DSPMG的输出功率。调整定子极深、永磁体厚度、定子极弧和绕组匝数等结构参数,然后根据空载和有载条件下测试的发电机特性,选择这些参数的最佳值。仿真是基于有限元方法。该发电机的额定功率为200W。研究发现,与传统结构相比,优化设计的发电机具有36.1%的较高电动势、20%的较低齿槽转矩和12.2%的较高输出功率。所提出的结构的漏磁通也比传统结构有所改善。因此,这项工作中设计的发电机可能是可再生能源发电的另一个可行选择。所提出的改进技术也可以适用于当今广泛用于可再生能源生产的双凸极永磁电机的输出轮廓改善。
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引用次数: 2
Simulation of Hydraulic Fracture Propagation in Fractured Coal Seams with Continuum-discontinuum Elements 裂隙煤层水力裂隙扩展的连续-非连续元模拟
Q4 Chemical Engineering Pub Date : 2021-10-01 DOI: 10.22055/JACM.2021.37475.3022
Hai-chao Zhou, Huixing Gao, C. Feng, Zizheng Sun
Creating new fracture networks in coal seams with natural fractures through hydraulic fracturing techniques is an effective method for exploiting coal-bed methane. In this paper, a continuum-discontinuum element method (CDEM) is developed for simulating and assessing hydraulic fracture propagation in coal seams. An elastic-damage-fracture model is proposed for capturing the deformation and cracking processes of fractured coal. A stress-fracture percolation relation is implemented to simulate the hydro-mechanical coupling processes. The influence of X-direction angles, mechanical strengths, distances and lengths of natural fractures are analyzed in detail. The results are potentially useful to optimize the fracturing design.
利用水力压裂技术在具有天然裂缝的煤层中建立新的裂缝网络是煤层气开采的有效方法。本文提出了一种用于模拟和评估煤层水力裂缝扩展的连续不连续单元法。提出了一种弹性损伤破裂模型,用于捕捉破裂煤的变形和破裂过程。采用应力-裂缝渗流关系来模拟水力-机械耦合过程。详细分析了X向角度、力学强度、天然裂缝的距离和长度对裂缝的影响。研究结果对优化压裂设计具有潜在的实用价值。
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引用次数: 2
Size Effect on the Axisymmetric Vibrational Response of Functionally Graded Circular Nano-Plate Based on the Nonlocal Stress-Driven Method 基于非局部应力驱动法的功能梯度圆形纳米板轴对称振动响应的尺寸效应
Q4 Chemical Engineering Pub Date : 2021-09-21 DOI: 10.22055/JACM.2021.38131.3159
M. Shariati, M. Shishesaz, R. Mosalmani, S. A. S. Roknizadeh
In this work, the axisymmetric-vibrational behavior of a size-dependent circular nano-plate with functionally graded material with different types of boundary conditions was investigated. The analysis was performed based on the Stress-driven model (SDM) and Strain-gradient theory (SGT) in conjunction with classical plate theory. The governing equations of motion and their corresponding equations for boundary conditions were obtained based on Hamilton’s principle and solved using the generalized differential quadrature rule. Results show that this method is applicable to the vibrational analysis of such structures with a fast convergence rate; as N approaches 6 for the first mode, and 10 for the second as well as the third and fourth modes, regardless of the type of boundary condition. In both models, the influences of various parameters such as size-effect parameter Lc, material heterogeneity index n, and types of boundary conditions were obtained on the first four modes and compared with each other. Results indicate that the natural frequencies in these modes increase with an increase in the heterogeneity index n, and size-effect parameter Lc. Additionally, these parameters appear to have a stiffening effect on the nano-plate vibrational behavior. However, for a nano-plate resting on a knife or simply supported edge, in the first mode, the SDM shows a more stiffening effect on the plate behavior as compared with the SGT. Nonetheless, for the clamped and free edge boundary conditions, both models predicted the same behavior. The SGT showed a higher-stiffening effect only in the fourth mode, for all types of considered boundary conditions.
本文研究了具有不同边界条件的功能梯度材料的尺寸相关圆形纳米板的轴对称振动行为。基于应力驱动模型(SDM)和应变梯度理论(SGT),结合经典板理论进行分析。根据哈密顿原理得到了运动控制方程及其相应的边界条件方程,并利用广义微分求积法则进行了求解。结果表明,该方法适用于此类结构的振动分析,收敛速度快;对于第一模态,N趋近于6,对于第二、第三和第四模态,无论边界条件的类型如何,N趋近于10。在两种模型中,分别得到了尺寸效应参数Lc、材料非均质性指数n、边界条件类型等参数对前四种模态的影响,并进行了比较。结果表明,随着非均质性指数n和尺寸效应参数Lc的增加,这些模态的固有频率增加。此外,这些参数似乎对纳米板的振动行为有加强作用。然而,对于放置在刀或简单支撑边缘上的纳米板,在第一种模式下,与sgt相比,SDM对板的行为表现出更强的刚度效应。尽管如此,对于夹紧和自由边缘边界条件,两种模型预测的行为相同。对于所有考虑的边界条件类型,SGT仅在第四种模式下显示出更高的加筋效果。
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引用次数: 6
Body of Optimal Parameters in the Weighted Finite Element Method for the Crack Problem 裂纹问题加权有限元法中的最优参数体
Q4 Chemical Engineering Pub Date : 2021-09-15 DOI: 10.22055/JACM.2021.38041.3142
S. Chamran, V. Rukavishnikov
In this paper, a high-accuracy weighted finite element method is constructed and investigated for finding an approximate solution of the crack problem. We consider an approximation of the Lame system in the domain with the reentrant corner 2π at the boundary. A new concept of definition of the solution of the problem is introduced. It allows us to suppress the influence of the singularity on the accuracy of finding an approximate solution, in contrast to the classical approach. We have introduced a weight function into the basis of the finite element method. The accuracy of finding an approximate solution by the weighted finite element method depends on three input parameters. We created an algorithm and establish the body of optimal parameters in the weighted finite element method for the crack problem. The choice of parameters from this set allows us to accurately and stability find an approximate solution with the smallest deviation from the best error. This is required to generate industrial codes.
本文构造并研究了一种高精度的加权有限元方法,用于求解裂纹问题的近似解。我们考虑Lame系统在域中的一个近似,在边界处有凹角2π。引入了一个新的概念来定义问题的解决方案。与经典方法相比,它使我们能够抑制奇异性对寻找近似解精度的影响。我们在有限元法的基础上引入了一个权函数。加权有限元法求近似解的精度取决于三个输入参数。我们创建了一个算法,并在裂纹问题的加权有限元法中建立了最优参数体。从这个集合中选择参数使我们能够准确而稳定地找到与最佳误差偏差最小的近似解。这是生成工业代码所必需的。
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引用次数: 3
Size Effect on Inclined Cracking in Unidirectional Composites 单向复合材料中尺寸对倾斜裂纹的影响
Q4 Chemical Engineering Pub Date : 2021-09-02 DOI: 10.22055/JACM.2020.33481.2234
A. Dönmez
The fracture and size effect properties of the unidirectional (UD) laminae were investigated based on the fracture energy analysis. The crack propagations on inclined fiber orientation may result in different energy release mechanisms. Therefore, the size effect behavior of these types of failures may vary according to the fracture parameters of the UD composites. This study aims to develop a fracture analysis of UD plies with inclined fibers relative to the loading axis. A numerical work with a developed material model was conducted to predict the size effect trends. The size effect law was used to fit the strength reduction with increasing size. The fundamentals of the quasibrittle fracture mechanics are shown to be applicable to analyze these types of structures. It is shown that the composite structures as quasibrittle materials, can exhibit a significant size effect.
基于断裂能分析,研究了单向(UD)层压板的断裂和尺寸效应特性。裂纹在倾斜纤维方向上的扩展可能导致不同的能量释放机制。因此,这些类型的失效的尺寸效应行为可能会根据UD复合材料的断裂参数而变化。本研究旨在对纤维相对于加载轴倾斜的UD层进行断裂分析。利用已开发的材料模型进行了数值计算,以预测尺寸效应趋势。采用尺寸效应定律拟合了强度随尺寸增大而减小的规律。准脆性断裂力学的基本原理被证明适用于分析这些类型的结构。结果表明,复合材料结构作为准脆性材料,可以表现出显著的尺寸效应。
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引用次数: 1
Thermo-elastic creep analysis and life assessment of rotating thick pressurized cylindrical shells using third-order shear deformation theory 基于三阶剪切变形理论的旋转厚受压圆柱壳热弹性蠕变分析及寿命评估
Q4 Chemical Engineering Pub Date : 2021-09-01 DOI: 10.22059/JCAMECH.2021.306967.546
T. Taghizadeh, M. Z. Nejad
In the present study, time-dependent thermo-elastic creep behavior and life assessment of rotating thick-walled cylindrical shells made of 304L austenitic stainless steel (304L SS) are investigated based on the third-order shear deformation theory (TSDT). Loading is composed of a uniform internal pressure, distributed temperature field, and a centrifugal body force due to rotating speed. Norton’s law is utilized as the material creep constitutive model. Using the minimum total potential energy principle, a system of differential equations in terms of displacement and boundary conditions are derived. Then, the governing equations are solved with an analytical approach, which leads to an accurate solution. Subsequently, an iterative procedure is also proposed to determine the stresses and deformations at different creep times. Larson-Miller Parameter (LMP) and Robinson's linear life fraction damage rule are employed for assessing the creep damages and the remaining life of cylindrical shells. To the best of the researcher’s knowledge, in the previous studies, there is no study carried out into third-order shear deformation theory for thermo-elastic creep analysis of cylinders. To validate the accuracy of the suggested method based on TSDT, a comparison among analytical results and those of the finite element method (FEM) is performed and very good agreement is found. The results indicate that the present analysis is accurate and computationally efficient.
基于三阶剪切变形理论(TSDT),研究了304L奥氏体不锈钢(304LSS)旋转厚壁圆柱壳的时间相关热弹性蠕变行为和寿命评估。载荷由均匀的内压、分布的温度场和由于转速而产生的离心力组成。材料蠕变本构模型采用诺顿定律。利用最小总势能原理,导出了一组具有位移和边界条件的微分方程组。然后,用解析方法求解控制方程,从而得到精确的解。随后,还提出了一种迭代程序来确定不同蠕变时间下的应力和变形。采用Larson-Miller参数(LMP)和Robinson线性寿命分数损伤准则对圆柱壳的蠕变损伤和剩余寿命进行了评估。据研究人员所知,在以前的研究中,没有对圆柱体热弹性蠕变分析的三阶剪切变形理论进行研究。为了验证所提出的基于TSDT的方法的准确性,将分析结果与有限元方法的结果进行了比较,发现非常好的一致性。结果表明,本文的分析是准确的,计算效率高。
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引用次数: 1
An analytical solution for nonlinear vibration of floating plate on the fluid by modified multiple scales method 流体上浮板非线性振动的修正多尺度法解析解
Q4 Chemical Engineering Pub Date : 2021-09-01 DOI: 10.22059/JCAMECH.2021.327315.639
F. Rabiee, A. Jafari
The aim of the present paper is to analytically study the nonlinear forced vibration of a rectangular plate floating on the fluid by Modified Multiple Time Scales method for the first time. It is assumed that the fluid is stationary, incompressible, non-viscous, and non-rotational, and the plate is subjected to transversal excitation. The boundary condition is considered to be simply supported. Using von Karman nonlinear strain displacement relationships, the extended Hamilton principle, and FSTD plate theory, the partial differential equations of motion are derived. The fluid is mathematically modeled by Bernoulli equation and the velocity potential function. Galerkin method is then applied for converting the nonlinear partial differential equations into time-dependent nonlinear ordinary differential equations. The resulted equations are solved analytically by the Modified Multiple Scales Method, thereafter. Despite the large number of derivatives and calculations of the conventional multiple scale method, this approach is very simple and straightforward. The results reveal an excellent agreement with the traditional Multiple Scales method results and existing studies, and are more accurate than other available results. The effect of the presence of fluid near the plate on natural frequency and amplitude of vibration of plate are studied. The effects of some key parameters of the system are also examined.
本文首次采用修正的多时间尺度方法对浮在流体上的矩形板的非线性强迫振动进行了分析研究。假设流体是静止的、不可压缩的、非粘性的和非旋转的,并且板受到横向激励。边界条件被认为是简单支持的。利用von Karman非线性应变-位移关系、推广的Hamilton原理和FSTD板理论,导出了运动偏微分方程。流体通过伯努利方程和速度势函数进行数学建模。然后应用Galerkin方法将非线性偏微分方程转化为含时非线性常微分方程。然后用修正的多尺度方法对所得方程进行解析求解。尽管传统的多尺度方法有大量的导数和计算,但这种方法非常简单明了。结果与传统的多尺度方法和现有研究结果非常一致,并且比其他可用结果更准确。研究了板附近流体的存在对板固有频率和振幅的影响。文中还考察了系统中一些关键参数的影响。
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引用次数: 1
A review on stress-driven nonlocal elasticity theory 应力驱动的非局部弹性理论综述
Q4 Chemical Engineering Pub Date : 2021-09-01 DOI: 10.22059/JCAMECH.2021.331410.653
M. Shariati, M. Shishesaz, Hossein Sahbafar, Mortaza Pourabdy, M. Hosseini
Classical theories do not have the ability to study the behavior of materials at the nanoscale. Accordingly, new theories have been developed to predict the behavior of materials at the nanoscale. Some of these theories are nonlocal elasticity, strain gradient theory, couple stress theory and surface effect theory. In most articles, the authors use differential form of nonlocal elasticity theory. Recently, a number of authors have used the integral form of this theory and obtained interesting results. Therefore, in this research, articles related to the integral form of non-local theory have been examined for small-scale tubes, beams, shells, and plates.
经典理论没有能力在纳米尺度上研究材料的行为。因此,已经开发了新的理论来预测材料在纳米尺度上的行为。其中一些理论是非局部弹性理论、应变梯度理论、耦合应力理论和表面效应理论。在大多数文章中,作者使用了非局部弹性理论的微分形式。最近,许多作者使用了这一理论的积分形式,并获得了有趣的结果。因此,在这项研究中,与非局部理论的积分形式有关的文章已经被用于小规模的管、梁、壳和板。
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引用次数: 11
期刊
Applied and Computational Mechanics
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