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Static and Dynamic Stability Analysis of Thick CNT Reinforced Beams Resting on Pasternak Foundation Under Axial and Follower Forces 轴向力和从动力作用下帕斯捷尔纳克基础上厚碳纳米管加筋梁的静动力稳定性分析
Pub Date : 2021-09-18 DOI: 10.22034/JSM.2019.585582.1401
M. Hosseini, A. G. Arani, M. Karamizadeh, S. Niknejad, A. Hosseinpour
In this paper, a numerical solution is presented for static and dynamic stability analysis of carbon nanotube (CNT) reinforced beams resting on Pasternak foundation. The beam is considered to be exposed to compressive axial and follower forces at its free end. The beam is modeled based on the Reddy’s third order shear deformation theory and governing equations and external boundary conditions are derived using Hamilton’s principle. The set of governing equations and boundary conditions are solved numerically using differential quadrature method. Convergence and accuracy of results are confirmed and effect of various parameters on the stability region of the beam is investigated including volume fraction and distribution of CNTs, width and thickness of the beam and elastic and shear coefficients of the foundation.
本文给出了基于帕斯捷尔纳克地基的碳纳米管(CNT)增强梁静、动稳定性分析的数值解。梁被认为是暴露于压缩轴和从动力在其自由端。基于Reddy三阶剪切变形理论建立了梁的模型,利用Hamilton原理推导了梁的控制方程和外部边界条件。用微分求积分法对控制方程和边界条件进行了数值求解。验证了结果的收敛性和准确性,并研究了碳纳米管的体积分数和分布、梁的宽度和厚度以及基础的弹性和剪切系数等参数对梁稳定区域的影响。
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引用次数: 1
Fatigue Life Assessment for an Aluminum Alloy Piston Using Stress Gradient Approach Described in the FKM Method 基于FKM法的应力梯度法评价铝合金活塞疲劳寿命
Pub Date : 2021-09-12 DOI: 10.22034/JSM.2021.1898031.1582
H. Ashouri
Engine piston is one of the most complex components among all automotive. The engine can be called the heart of a car and the piston may be considered the most important part of an engine. In fact, piston has to endure thermo-mechanical cyclic loadings in a wide range of operating conditions. This paper presents high cycle fatigue (HCF) life prediction for an aluminum alloy piston using stress gradient approach described in the Forschungskuratorium Maschinenbau (FKM) method. For this purpose, first Solidworks software was used to model the piston. Then Ansys Workbench software was used to determine temperature and stress distribution of the piston. Finally, in order to study the fatigue life of the piston based on HCF approach, the results were fed into the nCode Design Life software. The numerical results showed that the temperature maximum occurred at the piston crown center. The results of finite element analysis (FEA) indicated that the stress and number of cycles to failure have the most critical values at the upper portion of piston pin and piston compression grooves. To evaluate properly of results, stress analysis and HCF results is compared with real samples of damaged piston and it has been shown that critical identified areas, match well with areas of failure in the real samples. The lifetime of this part can be determined through FEA instead of experimental tests.
发动机活塞是汽车中最复杂的部件之一。发动机可以被称为汽车的心脏,活塞可以被认为是发动机最重要的部分。实际上,活塞必须在广泛的工作条件下承受热-机械循环载荷。本文采用FKM法中的应力梯度法对铝合金活塞的高周疲劳寿命进行了预测。为此,首先使用Solidworks软件对活塞进行建模。然后利用Ansys Workbench软件确定活塞的温度和应力分布。最后,为了研究基于HCF方法的活塞疲劳寿命,将结果输入到nCode设计寿命软件中。数值结果表明,活塞顶中心温度最高。有限元分析结果表明,活塞销和活塞压缩槽上部的应力和循环次数具有最大的临界值。为了评价结果的正确性,将应力分析和HCF结果与实际损坏的活塞样品进行了比较,结果表明,关键识别区域与实际样品中的破坏区域吻合良好。该部件的寿命可以通过有限元分析来确定,而不是通过实验测试。
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引用次数: 0
Finite Crack in a Thermoelastic Transversely Isotropic Medium Under Green-Naghdi Theory 基于Green-Naghdi理论的热弹性横向各向同性介质有限裂纹
Pub Date : 2021-09-12 DOI: 10.22034/JSM.2021.1929382.1694
S. K. Panja, S. Mandal
In this paper, we have studied a model of finite linear Mode-I crack in a thermoelastic transversely isotropic medium under Green Naghdi theory. The crack is subjected to a prescribed temperature and a known tensile stress. The plane boundary surface is considered as isothermal and all the field variables are sufficiently smooth. The heat conduction equation is written under two temperature theory (2TT) for Green Naghdi model which contains absolute temperature as well as conductive temperature. The analytical expressions of displacement components, stress components and temperature variables are obtained by normal mode analysis and matrix inversion method. Comparisons have been made within Green Naghdi (G-N) theory of type I, type II and type III for displacement, stress and absolute temperature variables against the crack width for a transversely isotropic material (Cobalt) by virtues of graphs. Also, Comparison have been made among displacement, thermal stress and absolute temperature for different depths.
本文在格林Naghdi理论的基础上,研究了热弹性横各向同性介质中有限线性ⅰ型裂纹的模型。裂纹受到规定的温度和已知的拉应力。平面边界表面被认为是等温的,所有的场变量都是足够光滑的。对于包含绝对温度和导电温度的Green Naghdi模型,采用双温度理论(2TT)建立热传导方程。通过正态分析和矩阵反演方法,得到了位移分量、应力分量和温度变量的解析表达式。在Green Naghdi (G-N)理论的I型、II型和III型中,通过图形对横向各向同性材料(钴)的位移、应力和绝对温度变量与裂缝宽度进行了比较。并对不同深度下的位移、热应力和绝对温度进行了比较。
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引用次数: 0
Assessment of Different Mathematical Models for Analysis of Low-Velocity Impact on Composite Plates in Presence of Pre-loads 预载荷作用下复合材料板低速冲击分析不同数学模型的评估
Pub Date : 2021-09-08 DOI: 10.22034/JSM.2020.1903753.1618
A. Davar, Abbas Labbafian Mashhadi, M. Beni, J. E. Jam
In this paper, the low-velocity impact response of composite plates in the presence of pre-loads is investigated using three new models for contact force estimation. The boundary conditions are considered as simply supported and the behavior of the material is linear elastic. The equations are based on both classical and first order shear deformation theory and the Fourier series method is used to solve the governing equations. The mass of the impactor is considered to be large mass and therefore the impact response is categorized as quasi-static. In the first impact model, the contact force history is first considered as a half-sine and then the maximum contact force and contact duration are calculated. In the second model, an improved two degree of freedom (ITDOF) spring-mass system is expressed by calculating the effective contact stiffness using a fast-iterative scheme. In the third model, which is expressed for the first time in this paper, the plate is considered as a series of masses and springs constructing a multi degree of freedom (MDOF) spring-mass system and the average forces applied to springs is introduced as the contact force. Validation of these models is done by comparing the results with the analytical, numerical and experimental results and shows good agreement. Results show that the new MDOF spring-mass system is more accurate for calculating the contact force rather than the ITDOF spring-mass system.
本文采用三种新的接触力估计模型,研究了复合材料板在预载荷作用下的低速冲击响应。边界条件考虑为简支,材料的行为为线弹性。该方程基于经典和一阶剪切变形理论,并采用傅立叶级数法求解控制方程。冲击器的质量被认为是大质量,因此冲击响应被归类为准静态。在第一个冲击模型中,首先考虑接触力的历史为半正弦,然后计算最大接触力和接触持续时间。在第二种模型中,采用快速迭代法计算有效接触刚度来表示改进的二自由度弹簧-质量系统。在本文首次提出的第三种模型中,将板视为一系列质量和弹簧组成的多自由度弹簧-质量系统,并引入施加在弹簧上的平均力作为接触力。通过与解析、数值和实验结果的比较,验证了模型的正确性。结果表明,与ITDOF弹簧-质量系统相比,新的mof弹簧-质量系统对接触力的计算精度更高。
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引用次数: 0
The Fracture Toughness of the Welding Zone in Gas Transfer Steel Pipes by Experimental and Numerical Methods 用实验和数值方法研究气体输送钢管焊接区的断裂韧性
Pub Date : 2021-09-07 DOI: 10.22034/JSM.2021.1896358.1570
M. R. Torshizian, M. Boustani
Fracture toughness is a criterion to determine the resistance of materials against small longitudinal and peripheral cracks, which can be created in the effect of welding or peripheral effects. Therefore, it is extremely important to scrutiny the factors that impress crack treatment and the way that it grows. In this research, fracture toughness was investigated on the peripheral welding zone in gas and oil transfer pipelines made in steel API X65. The fracture toughness is derived by using two different methods. At first, the three-point bending test method was used on samples that made up of the peripheral welding zone. Then, with a numerical simulation it was calculated by ABAQUS software v6/10. The comparison of experimental results and computer simulation results shows good agreement from two methods. The fracture toughness of the welded zone, obtained in this study, was compared with that of the base metal. The results showed that fracture toughness on the welding zone in gas and oil transfer steel pipelines decreased 43% compared to the base metal. This issue shows that peripheral welding on gas and oil transfer pipelines has more talent for crack growth compared to the base metal.
断裂韧性是确定材料抵抗小的纵向和外围裂纹的标准,这些裂纹可能是在焊接或外围效应的影响下产生的。因此,仔细研究影响裂纹处理的因素及其生长方式是极其重要的。本文对API X65钢制油气输送管道外围焊接区断裂韧性进行了研究。采用两种不同的方法推导了断裂韧性。首先,采用三点弯曲试验方法对构成外围焊接区的试样进行弯曲试验。然后利用ABAQUS软件v6/10进行数值模拟计算。实验结果与计算机仿真结果的比较表明,两种方法具有较好的一致性。本研究得到的焊接区的断裂韧性与母材的断裂韧性进行了比较。结果表明:与母材相比,油气输送钢管焊接区断裂韧性降低43%;这一问题表明,与母材相比,天然气和石油输送管道的外围焊接更容易产生裂纹扩展。
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引用次数: 0
Buckling and Free Vibrations of a Magneto-Electro-Elastic Sandwich Panel with Flexible Core 柔性芯磁-电弹性夹层板的屈曲与自由振动
Pub Date : 2021-08-22 DOI: 10.22034/JSM.2020.1900703.1594
H. T. Amanieh, S. A. S. Roknizadeh, Arash Reza
This paper presents the buckling and out-of-plane free vibration response of a sandwich panel with flexible core for the different boundary condition. In the desired configuration of the sandwich panel, the top and bottom plates are made of magneto-electro-elastic (MEE) plates. Moreover, the in-plane electric and magnetic potential fields are neglected for the derivation of the required relations. The sandwich structure is subjected to axial force in both longitudinal and transverse directions; in addition, and the top and bottom plates are exposed to electric and magnetic fields. The governing equations of motion for MEE sandwich panel with a flexible core are derived based on the first-order shear deformation theory by neglecting the displacement of the mid-plate and using the Hamilton’s principle. Furthermore, the derived partial differential equations (PDEs) are solved. According to the obtained numerical results, the core thickness, variation of electric field, variation of magnetic field and plate length are introduced as the most influential parameters on the free vibration response of the panel as well as the critical force of buckling.  As one of the results, the electric potential is inversely related to the natural frequency and buckling load, so that with increasing the electric potential, the natural frequency and critical load of the structure is also increased.Moreover, the magnetic potential is directly related to the natural frequency and buckling load of the system, and increasing trends of natural frequency and critical load are observed by increasing the magnetic potential.
本文研究了柔性芯板在不同边界条件下的屈曲和面外自由振动响应。在夹层板的期望配置中,顶部和底部的板由磁电弹性(MEE)板制成。此外,为了推导所需的关系,忽略了平面内电场和磁场的势场。夹芯结构在纵向和横向上均承受轴向力;此外,顶板和底板都暴露在电场和磁场中。基于一阶剪切变形理论,在忽略中间板位移的基础上,利用哈密顿原理,推导了带柔性芯的MEE夹层板的运动控制方程。进一步,对所导出的偏微分方程进行了求解。根据得到的数值结果,引入了芯厚、电场变化、磁场变化和板长是影响板自由振动响应和屈曲临界力最大的参数。结果之一是,电势与固有频率和屈曲载荷成反比,随着电势的增大,结构的固有频率和临界载荷也随之增大。磁势与系统的固有频率和屈曲载荷直接相关,随着磁势的增大,系统的固有频率和临界载荷有增大的趋势。
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引用次数: 0
Dynamic and Vibration Analysis for Geometrical Structures of Planetary Gears 行星齿轮几何结构的动力与振动分析
Pub Date : 2021-08-14 DOI: 10.22034/JSM.2020.1898690.1585
A. Shahabi, A. H. Kazemian
In industry applications, planetary gear systems are widely used in power transmission systems. In planetary gears, dynamic loads, noise and reduction the structural life are produced by system vibrations. For gear transmission systems, the parametric excitation which introduced by the periodically time–varying mesh stiffness of each gear oscillation is the main source of vibration. Generally, there are two methods to evaluate the gear mesh stiffnesses, the finite element method and the analytical method. In this wok, the periodically time–varying mesh stiffness of planetary gears is investigated. The influence of pressure angles on mesh stiffness of meshing gears is shown and the dynamic model of planetary gear sets is studied. When planets of the single–stage spur planetary gear system are meshed by new planets, the system is converted to special type of system with meshed planets. Vibration for geometrical structures (symmetric and anti–symmetric) of planetary system with meshed planets is investigated. Mesh stiffness of meshing gears by estimation function is obtained and numerical results of natural frequencies and vibration modes are derived.
在工业应用中,行星齿轮系统广泛应用于动力传动系统。在行星齿轮中,系统振动产生动载荷、噪声和降低结构寿命。对于齿轮传动系统,各齿轮振动的周期性时变啮合刚度所引入的参数激励是主要的振动源。齿轮啮合刚度的计算一般有两种方法:有限元法和解析法。本文研究了行星齿轮的周期性时变啮合刚度。分析了压力角对啮合齿轮啮合刚度的影响,研究了行星齿轮组的动力学模型。当单级直齿行星齿轮系统的行星被新的行星啮合时,将该系统转换为特殊类型的行星啮合系统。研究了啮合行星系统几何结构(对称和反对称)的振动问题。利用估计函数得到了啮合齿轮的啮合刚度,并推导了啮合齿轮的固有频率和振型的数值计算结果。
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引用次数: 0
Improved High-order Analysis of Linear Vibrations of a Thick Sandwich Panel With an Electro-rheological Core by Using Exponential Shear Deformation Theory 利用指数剪切变形理论改进电流变芯厚夹层板线性振动的高阶分析
Pub Date : 2021-08-08 DOI: 10.22034/JSM.2020.1898465.1584
M. Keshavarzian, M. Najafizadeh, K. Khorshidi, P. Yousefi, M. Alavi
In In this paper, the behavior of free vibrations of the thick sandwich panel with multi-layer face sheets and an electrorheological (ER) fluid core using Exponential Shear Deformation Theory were investigated. For the first time, Exponential shear deformation theory is used for the face sheets while the Displacement field based on the second Frostig's model is used for the core. The governing equations and the boundary conditions are derived by Hamilton’s principle. Closed form solution is achieved using the Navier method and solving the eigenvalues. Primary attention is focused on the effects of electric field magnitude, geometric aspect ratio,and ER core layer thickness on the dynamic characteristics of the sandwich plate. The rheological property of an ER material, such as viscosity, plasticity, and elasticity may be changed when applying an electric field. When an electric field is applied, the damping of the system is more effective. The effects of the natural frequencies and loss factors on the dynamic behaviorof the sandwich plate are studied.the natural frequency of the sandwich plate increases and the modal loss factor decreases. With increasing the thickness of the ER layer, the natural frequencies of the sandwich plate are decreased.
本文利用指数剪切变形理论研究了含电流变液芯的多层厚夹层板的自由振动特性。首次将指数剪切变形理论应用于工作面,将基于第二种Frostig模型的位移场应用于岩心。根据哈密顿原理推导了控制方程和边界条件。利用Navier方法求解特征值,实现了闭型解。重点研究了电场大小、几何纵横比和内质网芯层厚度对夹层板动态特性的影响。当施加电场时,电流变材料的流变特性,如粘度、塑性和弹性可能会改变。当施加电场时,系统的阻尼更有效。研究了固有频率和损耗因子对夹层板动力特性的影响。夹层板固有频率增大,模态损耗因子减小。随着ER层厚度的增加,夹层板的固有频率降低。
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引用次数: 0
Transient Dynamic Analysis of Grid-Stiffened Composite Conical Shells 网格加筋复合材料锥形壳的瞬态动力分析
Pub Date : 2021-08-01 DOI: 10.22034/JSM.2021.1908516.1646
Mojtaba Zamani, A. Davar, M. Beni, J. E. Jam, Majid Eskandari Shahraki
In this study, the transient dynamic analysis of grid-stiffened composite conical shells is discussed. The transient dynamic response of the composite conical shell with simply supported boundary conditions under the lateral impact load, which is applied extensively and uniformly on a certain surface, is obtained using the convolution integral and based on the method of addition of modes. The validation of the obtained results has been done with the help of references and ABAQUS finite element software. The effects of various parameters such as fiber angle, geometric ratios, type, etc. have been investigated in forced vibrations. Finally, the effect of reinforcing the conical shell with the help of grid-stiffened structures has been studied.The effects of various parameters such as fiber angle, geometric ratios, type, etc. have been investigated in forced vibrations. Finally, the effect of reinforcing the conical shell with the help of grid-stiffened structures has been studied.grid-stiffened structures has been studied.
本文讨论了网格加筋复合材料锥形壳的瞬态动力分析。采用基于模态相加法的卷积积分方法,得到了广泛均匀作用于某一表面的简支边界条件下复合锥壳在侧向冲击荷载作用下的瞬态动力响应。利用参考文献和ABAQUS有限元软件对所得结果进行了验证。研究了纤维角度、几何比、类型等参数对受迫振动的影响。最后,研究了网格加筋结构对锥形壳的加固效果。研究了纤维角度、几何比、类型等参数对受迫振动的影响。最后,研究了网格加筋结构对锥形壳的加固效果。对网格加筋结构进行了研究。
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引用次数: 0
Thermoelastic Analysis of Annular Sector Plate Under Restricted Boundaries Amidst Elastic Reaction 受限边界环形扇形板弹性反应热弹性分析
Pub Date : 2021-07-18 DOI: 10.22034/JSM.2020.1892727.1547
A. Mahakalkar, Varghese
An analytical framework is developed for the thermoelastic analysis of annular sector plate whose boundaries are subjected to elastic reactions. The exact expression for transient heat conduction with internal heat sources is obtained using a classical method. The fourth-order differential equation for the thermally induced deflection is obtained by developing a new integral transformation in accordance with the simply supported elastic supports that are subjected to elastic reactions. Here it is supposed that the movement of the boundaries is limited by an elastic reaction, that is, (a) shearing stress is proportional to the displacement, and (b) the reaction moment is proportional to the rate of change of displacement with respect to the radius. Finally, the maximum thermal stresses distributed linearly over the thickness of the plate are obtained in terms of resultant bending momentum per unit width. The calculation is obtained for the steel, aluminium and copper material plates using Bessel's function can be expressed in infinite series form, and the results are depicted using a few graphs.
提出了一种适用于边界受弹性作用的环形扇形板热弹性分析的分析框架。用经典方法得到了内热源瞬态热传导的精确表达式。针对受弹性反力作用的简支弹性支架,提出了一种新的积分变换,得到了热致挠度的四阶微分方程。这里假设边界的移动受到弹性反作用力的限制,即(a)剪切应力与位移成正比,(b)反作用力力矩与位移相对于半径的变化率成正比。最后,最大热应力线性分布在板的厚度,以单位宽度的合成弯曲动量获得。用贝塞尔函数对钢、铝、铜三种材料板进行了无穷级数形式的计算,并用几张图描述了计算结果。
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引用次数: 0
期刊
Journal of Solid Mechanics and Materials Engineering
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