On the Analysis of Two-Dimensional Functionally Graded Rotating Thick Hollow Cylinder

محورهای موضوعی : Mechanical Engineering

Mostafa Omidi Bidgoli ¹ , Mohammad Hosseini ² , Ali Fata ³

1 - Department of Mechanical Engineering, Islamic Azad University, Badroud branch, Badroud, Iran
2 - Department of Mechanical Engineering, University of Hormozgan, Bandar Abbas, Iran
3 - Department of Mechanical Engineering, University of Hormozgan, Bandar Abbas, Iran

تاریخ دریافت : 1403/06/20 تاریخ پذیرش : 1403/12/28 تاریخ انتشار : 1404/04/01

کلید واژه: 2D Functionally Graded Material, FEM, Rotating Cylinder, Thick Hollow Cylinder ,

چکیده مقاله :

Rotary components are widely used in industries. There is both mechanical and thermal loading in most rotating cylinder applications. On the other hand, functionally graded material has better performance under different loads. Therefore, a finite length two dimensional functionally graded material (2D-FGM) thick hollow cylinder under angular velocity is investigated, in this research. Volume fraction distribution of functionally graded material and geometry of the cylinder are axisymmetric but not uniform along the radial and axial directions. The finite element method based on Rayliegh-Ritz energy formulation is applied to obtain the governing Equation and associated boundary conditions of a 2D-FG thick hollow cylinder. Using this method, the effects of the power law exponents and angular velocity on the displacements and distribution of stresses are investigated for simply supported 2D-FG thick hollow cylinder. The results indicate that 2D-FGM facilitates improved design, allowing for better control of both maximum stresses and stress distribution through material distribution.

چکیده انگلیسی:

Rotary components are widely used in industries. There is both mechanical and thermal loading in most rotating cylinder applications. On the other hand, functionally graded material has better performance under different loads. Therefore, a finite length two dimensional functionally graded material (2D-FGM) thick hollow cylinder under angular velocity is investigated, in this research. Volume fraction distribution of functionally graded material and geometry of the cylinder are axisymmetric but not uniform along the radial and axial directions. The finite element method based on Rayliegh-Ritz energy formulation is applied to obtain the governing Equation and associated boundary conditions of a 2D-FG thick hollow cylinder. Using this method, the effects of the power law exponents and angular velocity on the displacements and distribution of stresses are investigated for simply supported 2D-FG thick hollow cylinder. The results indicate that 2D-FGM facilitates improved design, allowing for better control of both maximum stresses and stress distribution through material distribution.

منابع و مأخذ:

[1] Shi, P., Xie, J., Exact Solution of Magneto-Elastoplastic Problem of Functionally Graded Cylinder Subjected to Internal Pressure, Applied Mathematical Modelling, Vol. 123, 2023, pp. 835-855,
[2] Li, X., Xie, J., and Shi, P., Magneto-Thermal–Mechanical Analysis of Functionally Graded Rotating Cylinder and Circular Disk, Archive of Applied Mechanics, Vol. 93, 2023, pp. 1449-1457.
[3] Yarımpabuç, D., Çalıskan, A. J. C. M., Computations, Applications: An International Journal, "Elastic Analysis of Functionally Graded Rotating Pressurized Cylinders, Vol. 15, 2023.
[4] Daghigh, V., Edalati, H., Daghigh, H., Belk, D. M., and Nikbin, K., Time-Dependent Creep Analysis of Ultra-High-Temperature Functionally Graded Rotating Disks of Variable Thickness, Forces in Mechanics, Vol. 13, 2023, pp. 100235.
[5] Seddighi, H., Ghannad, M., and Loghman, A.,Creep Behavior of Cylinders Subjected to an Internal Pressure and a Two Dimensional Temperature Field Using First Order Shear Deformation Theory, Journal of Solid Mechanics, Vol. 15, 2023, pp. 327-342.
[6] Omidi Bidgoli, M., Loghman, A., Arefi, M., and Faegh, R. K., Transient Stress and Deformation Analysis of A Shear Deformable FG Rotating Cylindrical Shell Made of AL-SIC Subjected to Thermo-Mechanical Loading, Australian Journal of Mechanical Engineering, Vol. 21, 2023, pp. 279-294.
[7] Maitra, K., Singh Parihar, R., Finite Element Analysis of Rotating Truncated Functionally Graded Conical Shell, Current Materials Science: Formerly: Recent Patents on Materials Science, Vol. 16, 2023, pp. 62-71.
[8] Saadatfar, M., Babazadeh, M. A., and Babaelahi, M., Creep Analysis in A Rotating Variable Thickness Functionally Graded Disc with Convection Heat Transfer and Heat Source, Mechanics of Time-Dependent Materials, 2023.
[9] Babaei, M., Asemi, K., and Kiarasi, F., Dynamic Analysis of Functionally Graded Rotating Thick Truncated Cone Made of Saturated Porous Materials, Thin-Walled Structures, Vol. 164, 2021, pp. 107852.
[10] Xu, C., Yu, Z. X., and Du, F., Dynamic Analysis of A Thick Hollow Cylinder Made of Two-Dimensional Functionally Graded Material Using Time-Domain Spectral Element Method, Mechanics of Advanced Materials and Structures, Vol. 26, 2019, pp. 1518-1535.
[11] Yarımpabuç, D., Transient-Thermoelastic Analysis of Periodically Rotated Functionally Graded Hollow Cylinder, Journal of Engineering Mathematics, Vol. 128, 2021, pp. 18.
[12] Jabbari and M., Nejad, M. Z., Mechanical and Thermal Stresses in Radially Functionally Graded Hollow Cylinders with Variable Thickness Due to Symmetric Loads, Australian Journal of Mechanical Engineering, Vol. 18, 2020, pp. S108-S121.
[13] Mehditabar, A., Rahimi, G. H., and Tarahhomi, M. H., Thermo-Elastic Analysis of A Functionally Graded Piezoelectric Rotating Hollow Cylindrical Shell Subjected to Dynamic Loads, Mechanics of Advanced Materials and Structures, Vol. 25, 2018, pp. 1068-1079.
[14] Gharibi, M., Zamani Nejad, M., and Hadi, A., Elastic Analysis of Functionally Graded Rotating Thick Cylindrical Pressure Vessels with Exponentially-Varying Properties Using Power Series Method of Frobenius, Journal of Computational Applied Mechanics, Vol. 48, 2017, pp. 89-98.
[15] Jabbari, M., Nejad, M. Z., and Ghannad, M., Thermo-Elastic Analysis of Axially Functionally Graded Rotating Thick Cylindrical Pressure Vessels With Variable Thickness Under Mechanical Loading, International Journal of Engineering Science, Vol. 96, 2015, pp. 1-18.
[16] Jafari Fesharaki, J., Jafari Fesharaki, V., Yazdipoor, M., and Razavian, B., Two-Dimensional Solution for Electro-Mechanical Behavior of Functionally Graded Piezoelectric Hollow Cylinder, Applied Mathematical Modelling, Vol. 36, 2012, pp. 5521-5533.
[17] Zafarmand, H., Hassani, B., Analysis of Two-Dimensional Functionally Graded Rotating Thick Disks with Variable Thickness, Acta Mechanica, Vol. 225, 2014, pp. 453-464.
[18] Dai, H. L., Dai, T., and Zheng, H. Y., Stresses Distributions in A Rotating Functionally Graded Piezoelectric Hollow Cylinder, Meccanica, Vol. 47, 2012, pp. 423-436.
[19] Shishesaz, M., Hosseini, M., Naderan Tahan, K., and Hadi, A., Analysis of Functionally Graded Nanodisks Under Thermoelastic Loading Based on The Strain Gradient Theory, Acta Mechanica, Vol. 228, 2017, pp. 4141-4168.
[20] Koohi Faegh Dehkourdi, R., Omidi Bidgoli, M., and Hosseini, M., A Case Study on the Influence of Friction Coefficient and Rotational Speed on Transient Thermoelastic Response of FGM Rotating Cylinder %J Mechanics Of Advanced Composite Structures, Mechanics Of Advanced Composite Structures, Vol. 9, 2022, pp. 399-408.
[21] Babaei, M., Kiarasi, F., Asemi, K., and Hosseini, M., Functionally Graded Saturated Porous Structures: A Review, Journal of Computational Applied Mechanics, Vol. 53, 2022, pp. 297-308.
[22] Shishesaz, M., Hosseini, M., Mechanical Behavior of Functionally Graded Nano-Cylinders Under Radial Pressure Based on Strain Gradient Theory, Journal of Mechanics, Vol. 35, 2018, pp. 441-454.
[23] Nejad, M. Z., Hadi, A., Non-Local Analysis of Free Vibration of Bi-Directional Functionally Graded Euler–Bernoulli Nano-Beams, International Journal of Engineering Science, Vol. 105, 2016, pp. 1-11.
[24] Shariati, M., Shishesaz, M., Mosalmani, R., Seyed Roknizadeh, S. A., and Hosseini, M., Nonlocal Effect on The Axisymmetric Nonlinear Vibrational Response of Nano-Disks Using Variational Iteration Method, Journal of Computational Applied Mechanics, Vol. 52, 2021, pp. 507-534.
[25] Barati, A., Hadi, A., Nejad, M. Z., and Noroozi, R., On Vibration of Bi-Directional Functionally Graded Nanobeams Under Magnetic Field, Mechanics Based Design of Structures and Machines, Vol. 50, 2022, pp. 468-485.
[26] Mohammadi, M., Hosseini, M., Shishesaz, M., Hadi, A., and Rastgoo, A., Primary and Secondary Resonance Analysis of Porous Functionally Graded Nanobeam Resting on A Nonlinear Foundation Subjected to Mechanical and Electrical Loads, European Journal of Mechanics - A/Solids, Vol. 77, 2019, pp. 103793.
[27] Haghshenas Gorgani, H., Mahdavi Adeli, M., and Hosseini, M., Pull-in Behavior of Functionally Graded Micro/Nano-Beams for MEMS and NEMS switches, Microsystem Technologies, Vol. 25, 2019, pp. 3165-3173.
[28] Hosseini, M., Hadi, A., Malekshahi, A., and Shishesaz, M., A Review of Size-Dependent Elasticity for Nanostructures, Journal of Computational Applied Mechanics, Vol. 49, 2018, pp. 197-211.
[29] kiarasi, F., babaei, M., Sarvi, P., asemi, K., hosseini, M., and Omidi Bidgoli, M., A Review on Functionally Graded Porous Structures Reinforced by Graphene Platelets, Journal of Computational Applied Mechanics, Vol. 52, 2021, pp. 731-750.
[30] Shariati, M., Shishesaz, M., Sahbafar, H., Pourabdy, M., and Hosseini, M., A Review on Stress-Driven Nonlocal Elasticity Theory, Journal of Computational Applied Mechanics, Vol. 52, 2021, pp. 535-552.
[31] M. Khatoonabadi, M. Jafari, F. Kiarasi, M. Hosseini, M. Babaei, and K. Asemi, "Shear buckling response of FG porous annular sector plate reinforced by graphene platelet subjected to different shear loads %J Journal of Computational Applied Mechanics," vol. 54, pp. 68-86, 2023.
[32] Daneshmehr, A., Rajabpoor, A., and Hadi, A., Size Dependent Free Vibration Analysis of Nanoplates Made of Functionally Graded Materials Based on Nonlocal Elasticity Theory with High Order Theories, International Journal of Engineering Science, Vol. 95, 2015, pp. 23-35.
[33] Barati, A., Mousavi Khoram, M., Shishesaz, M., and Hosseini, M., Size-Dependent Thermoelastic Analysis of Rotating Nanodisks of Variable Thickness, Journal of Computational Applied Mechanics, Vol. 51, 2020, pp. 340-360.
[34] Shishesaz, M.,, Shariati, M., and Hosseini, M., Size-Effect Analysis on Vibrational Response of Functionally Graded Annular Nano-Plate Based on Nonlocal Stress-Driven Method, International Journal of Structural Stability and Dynamics, pp. 2250098.
[35] Barati, A., Adeli, and M. M., Hadi, A., Static Torsion of Bi-Directional Functionally Graded Microtube Based on the Couple Stress Theory Under Magnetic Field, International Journal of Applied Mechanics, Vol. 12, 2020, pp. 2050021.
[36] Hosseini, M., Shishesaz, M., Tahan, K. N., and Hadi, A., Stress Analysis of Rotating Nano-Disks of Variable Thickness Made of Functionally Graded Materials, International Journal of Engineering Science, Vol. 109, 2016, pp. 29-53.
[37] Hosseini, M., Shishesaz, M., and Hadi, A., Thermoelastic Analysis of Rotating Functionally Graded Micro/Nanodisks of Variable Thickness, Thin-Walled Structures, Vol. 134, 2019, pp. 508-523.
[38] Noroozi, R., Barati, A., Kazemi, A., Norouzi, S., and Hadi, A., Torsional Vibration Analysis of Bi-Directional FG Nano-Cone with Arbitrary Cross-Section Based on Nonlocal Strain Gradient Elasticity, Advances in Nano Research, Vol. 8, 2020, pp. 13-24.
[39] Zarezadeh, E., Hosseini, V., and Hadi, A., Torsional Vibration of Functionally Graded Nano-Rod Under Magnetic Field Supported by A Generalized Torsional Foundation Based on Nonlocal Elasticity Theory, Mechanics Based Design of Structures and Machines, 2019, pp. 1-16.
[40] Mahmoudi, R., Barati, A., Hosseini, M., and Hadi, A., Torsional Vibration of Functionally Porous Nanotube Based on Nonlocal Couple Stress Theory, International Journal of Applied Mechanics, pp. 2150122.
[41] Adeli, M. M., Hadi, A., Hosseini, M., and Gorgani, H. H., Torsional Vibration of Nano-Cone Based on Nonlocal Strain Gradient Elasticity Theory, The European Physical Journal Plus, Vol. 132, 2017, pp. 393.
[42] Mohammadi, M., Farajpour, A., Moradi, A., and Hosseini, M., Vibration Analysis of The Rotating Multilayer Piezoelectric Timoshenko Nanobeam, Engineering Analysis with Boundary Elements, Vol. 145, 2022, pp. 117-131.
[43] Shariati, M., Hosseini, M., and Nakhli sahraei, M., Vibration of Nano-Disks Using Adomian Decomposition Method Based on Nonlocal Mindlin Plate Theory, presented at the The 30th Annual International Conference of Iranian Society of Mechanical Engineers Iran, Tehran, 2022.
[44] Hadi, A., Nejad, M. Z., and Hosseini, M., Vibrations of Three-Dimensionally Graded Nanobeams, International Journal of Engineering Science, Vol. 128, 2018, pp. 12-23.