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Adineh, Mahdi, Estiri, Hossein. (1404). Effect of temperature on the natural frequency of multi-directional functionally graded rectangular plates on an elastic foundation using three-dimensional elasticity theory. پژوهشنامه مدیریت اجرایی, 2(4), 13-27. doi: 10.22080/cste.2025.28914.1026
Mahdi Adineh; Hossein Estiri. "Effect of temperature on the natural frequency of multi-directional functionally graded rectangular plates on an elastic foundation using three-dimensional elasticity theory". پژوهشنامه مدیریت اجرایی, 2, 4, 1404, 13-27. doi: 10.22080/cste.2025.28914.1026
Adineh, Mahdi, Estiri, Hossein. (1404). 'Effect of temperature on the natural frequency of multi-directional functionally graded rectangular plates on an elastic foundation using three-dimensional elasticity theory', پژوهشنامه مدیریت اجرایی, 2(4), pp. 13-27. doi: 10.22080/cste.2025.28914.1026
Adineh, Mahdi, Estiri, Hossein. Effect of temperature on the natural frequency of multi-directional functionally graded rectangular plates on an elastic foundation using three-dimensional elasticity theory. پژوهشنامه مدیریت اجرایی, 1404; 2(4): 13-27. doi: 10.22080/cste.2025.28914.1026

Effect of temperature on the natural frequency of multi-directional functionally graded rectangular plates on an elastic foundation using three-dimensional elasticity theory

Contributions of Science and Technology for Engineering
مقاله 2، دوره 2، شماره 4، آذر 2025، صفحه 13-27    اصل مقاله (588.14 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22080/cste.2025.28914.1026
نویسندگان
Mahdi Adineh* 1؛ Hossein Estiri2
1Department of Mechanical Engineering, University of Gonabad, Gonabad, Iran
2Department of Civil Engineering, University of Gonabad, Gonabad, 9691957678, Iran
تاریخ دریافت: 14 فروردین 1404،  تاریخ بازنگری: 16 تیر 1404،  تاریخ پذیرش: 22 تیر 1404 
چکیده
This research focuses on the analysis of free vibration of a rectangular plate made of multi-directional functionally graded materials on an elastic foundation, taking into account the effect of temperature. The temperature at different points of the plate may differ from its initial temperature, leading to the development of initial stresses within the plate. In this research, Gradual variations in the mechanical properties of the material are possible in all three coordinate directions. Additionally, the mechanical properties of the material, except for the thermal conductivity coefficient, can be temperature-dependent. The governing equations are derived based on three-dimensional elasticity theory and discretized using the Generalized Differential Quadrature Method (GDQM). The validation of the proposed method demonstrates the high accuracy of the employed approach. Subsequently, several cases are solved, considering the effects of variations in the mechanical properties of the material in each coordinate direction or a combination of different directions, and the results are compared. The effects of temperature, elastic foundation stiffness, aspect ratio, thickness, power-law indices, and boundary conditions are investigated. The results indicate that an increase in temperature leads to a reduction in the vibrational frequency. Furthermore, the effect of temperature on frequency reduction is less pronounced for softer plates. In the case of one-directional property distribution, the frequency decreases with an increase in the power-law index. For multi-directional property distribution, the frequency initially decreases with an increase in the power-law index and then remains relatively unchanged.
کلیدواژه‌ها
Three-dimensional thermo-elasticity؛ Natural frequency؛ Functionally graded plate؛ Elastic foundation
مراجع
  1. Xing, Y. F., Wang, Z. K., & Xu, T. F. (2018). Closed-form Analytical Solutions for Free Vibration of Rectangular Functionally Graded Thin Plates in Thermal Environment. International Journal of Applied Mechanics, 10(3). doi:10.1142/S1758825118500254.
  2. Kang, R., Xin, F., Shen, C., & Lu, T. J. (2022). 3D Free Vibration Analysis of Functionally Graded Plates with Arbitrary Boundary Conditions in Thermal Environment. Advanced Engineering Materials, 24(5). doi:10.1002/adem.202100636.
  3. Slimane, M., Adda, H. M., Mohamed, M., Hakima, B., Hadjira, H., & Sabrina, B. (2020). Effects of even pores distribution of functionally graded plate porous rectangular and square. Procedia Structural Integrity, 26, 35–45. doi:10.1016/j.prostr.2020.06.006.
  4. Hashemi, S., & Jafari, A. A. (2020). Nonlinear free vibration analysis of functionally graded rectangular plate using modified Lindstedt-Poincare method. Journal of Science and Technology of Composites, 6(4), 637-648. doi:10.22068/JSTC.2019.106866.1542.
  5. Kumar, V., Singh, S. J., Saran, V. H., & Harsha, S. P. (2021). Vibration characteristics of porous FGM plate with variable thickness resting on Pasternak’s foundation. European Journal of Mechanics, A/Solids, 85. doi:10.1016/j.euromechsol.2020.104124.
  6. Kumar, P., & Harsha, S. P. (2021). Vibration response analysis of exponential functionally graded piezoelectric (EFGP) plate subjected to thermo-electro-mechanical load. Composite Structures, 267. doi:10.1016/j.compstruct.2021.113901.
  7. Shahverdi, H., Navardi, M. M., & Sadr, M. H. (2022). A Proposed Approach to Simulate Thin Quadrilateral Plates Using Generalized Differential Quadrature Method Based on Kirchhoff–Love Theory. AUT Journal of Mechanical Engineering, 6(1), 15–30. doi:10.22060/ajme.2021.20283.5995.
  8. Hu, X., & Fu, T. (2023). Free vibration analysis of functionally graded plates with different porosity distributions and grading patterns. Journal of Mechanical Science and Technology, 37(11), 5725–5738. doi:10.1007/s12206-023-1012-6.
  9. Adineh, M., & Kadkhodayan, M. (2017). Three-dimensional thermo-elastic analysis of multi-directional functionally graded rectangular plates on elastic foundation. Acta Mechanica, 228(3), 881–899. doi:10.1007/s00707-016-1743-x.
  10. Adineh, M., & Kadkhodayan, M. (2017). Three-dimensional thermo-elastic analysis and dynamic response of a multi-directional functionally graded skew plate on elastic foundation. Composites Part B: Engineering, 125, 227–240. doi:10.1016/j.compositesb.2017.05.070.
  11. Rajasekaran, S., Khaniki, H. B., & Ghayesh, M. H. (2022). Thermo-mechanics of multi-directional functionally graded elastic sandwich plates. Thin-Walled Structures, 176, 109266. doi:10.1016/j.tws.2022.109266.
  12. Tran, M. T., & Thai, S. (2023). Transient analysis of variable thickness multi-directional functionally graded plates using isogeometric analysis. Multidiscipline Modeling in Materials and Structures, 19(4), 652–679. doi:10.1108/MMMS-12-2022-0283.
  13. Kumar, S., & Kar, V. R. (2022). Three-dimensional thermal analysis of multidirectional (perfect/porous) functionally graded plate under in-plane heat flux. Materials Today: Proceedings, 56, 879–882. doi:10.1016/j.matpr.2022.02.524.
  14. Thai, S., Do, D. T. T., & Tan, T. N. (2022). Nonlinear bending analysis of variable thickness multi-directional functionally graded plates based on isogeometric analysis. Mechanics of Advanced Materials and Structures, 30(20), 4091–4109. doi:10.1080/15376494.2022.2088909.
  15. Srivastava, M. C., & Singh, J. (2023). Influences of elastic foundation on bending analysis of multidirectional porous functionally graded plate under industrial used loading: a meshfree approach. Multiscale and Multidisciplinary Modeling, Experiments and Design, 6(4), 519–535. doi:10.1007/s41939-023-00156-x.
  16. Tahouneh, V., & Naei, M. H. (2014). A novel 2-D six-parameter power-law distribution for three-dimensional dynamic analysis of thick multi-directional functionally graded rectangular plates resting on a two-parameter elastic foundation. Meccanica, 49(1), 91–109. doi:10.1007/s11012-013-9776-x.
  17. Khorshidi, K., Bakhsheshi, A., & Ghadirian, H. (2016). The study of the effects of thermal environment on free vibration analysis of two dimensional functionally graded rectangular plates on Pasternak elastic foundation. doi:10.22044/JSFM.2016.792
  18. Yin, S., Yu, T., Bui, T. Q., Zheng, X., & Tanaka, S. (2016). In-plane material inhomogeneity of functionally graded plates: A higher-order shear deformation plate isogeometric analysis. Composites Part B: Engineering, 106, 273–284. doi:10.1016/j.compositesb.2016.09.008.
  19. Thai, S., Nguyen, V. X., & Lieu, Q. X. (2022). Bending and free vibration analyses of multi-directional functionally graded plates in thermal environment: A three-dimensional Isogeometric Analysis approach. Composite Structures, 295. doi:10.1016/j.compstruct.2022.115797.
  20. Xiang, T., Natarajan, S., Mana, H., Song, C., & Gao, W. (2014). Free vibration and mechanical buckling of plates with in-plane material inhomogeneity-A three dimensional consistent approach. Composite Structures, 118(1), 634–642. doi:10.1016/j.compstruct.2014.07.043.
  21. Adineh, M. (2024). Natural Frequency analysis of Multi-directional Functionally Graded Rectangular Plates on elastic Foundation using Three-dimensional Elasticity Theory. Mechanic of Advanced and Smart Materials, 4(1), 40–63. doi:10.61186/masm.4.1.40.
  22. Ahlawat, N., & Lal, R. (2016). Buckling and Vibrations of Multi-directional Functionally Graded Circular Plate Resting on Elastic Foundation. Procedia Engineering, 144, 85–93. doi:10.1016/j.proeng.2016.05.010.
  23. Lahdiri, A., & Kadri, M. (2022). Free vibration behaviour of multi-directional functionally graded imperfect plates using 3D isogeometric approach. Earthquake and Structures, 22(5), 527–538. doi:10.12989/eas.2022.22.5.527.
  24. Pham, Q. H., Tran, V. K., & Nguyen, P. C. (2024). Exact solution for thermal vibration of multi-directional functionally graded porous plates submerged in fluid medium. Defence Technology, 35, 77–99. doi:10.1016/j.dt.2023.09.004.
  25. Li, Q., Iu, V. P., & Kou, K. P. (2009). Three-dimensional vibration analysis of functionally graded material plates in thermal environment. Journal of Sound and Vibration, 324(3–5), 733–750. doi:10.1016/j.jsv.2009.02.036.
  26. Yang, J., & Shen, H. S. (2002). Vibration characteristics and transient response of shear-deformable functionally graded plates in thermal environments. Journal of Sound and Vibration, 255(3), 579–602. doi:10.1006/jsvi.2001.4161.
  27. Kim, Y. W. (2005). Temperature dependent vibration analysis of functionally graded rectangular plates. Journal of Sound and Vibration, 284(3–5), 531–549. doi:10.1016/j.jsv.2004.06.043.
  28. Zhou, D., Cheung, Y. K., Lo, S. H., & Au, F. T. K. (2004). Three-dimensional vibration analysis of rectangular thick plates on Pasternak foundation. International Journal for Numerical Methods in Engineering, 59(10), 1313–1334. doi:10.1002/nme.915.
  29. Hosseini-Hashemi, S., Rokni Damavandi Taher, H., Akhavan, H., & Omidi, M. (2010). Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory. Applied Mathematical Modelling, 34(5), 1276–1291. doi:10.1016/j.apm.2009.08.008.
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