دانشگاه سمنان

 آمار

تعداد نشریات22
تعداد شماره‌ها709
تعداد مقالات10,214
تعداد مشاهده مقاله71,681,367
تعداد دریافت فایل اصل مقاله63,499,678
Chandra Mohana Reddy, Gangi Reddy Gari, Pappula, Bridjesh, Chintalpudi, Ravikiran, Nagaraju, Sunnam. (1406). Comparative Investigation of Deflection in a Bi-directional Curved Functionally Graded Porous Beam Using Unified Shear Deformation Theory. هنرهای کاربردی, 14(1), 57-73. doi: 10.22075/macs.2025.34258.1680
Gangi Reddy Gari Chandra Mohana Reddy; Bridjesh Pappula; Ravikiran Chintalpudi; Sunnam Nagaraju. "Comparative Investigation of Deflection in a Bi-directional Curved Functionally Graded Porous Beam Using Unified Shear Deformation Theory". هنرهای کاربردی, 14, 1, 1406, 57-73. doi: 10.22075/macs.2025.34258.1680
Chandra Mohana Reddy, Gangi Reddy Gari, Pappula, Bridjesh, Chintalpudi, Ravikiran, Nagaraju, Sunnam. (1406). 'Comparative Investigation of Deflection in a Bi-directional Curved Functionally Graded Porous Beam Using Unified Shear Deformation Theory', هنرهای کاربردی, 14(1), pp. 57-73. doi: 10.22075/macs.2025.34258.1680
Chandra Mohana Reddy, Gangi Reddy Gari, Pappula, Bridjesh, Chintalpudi, Ravikiran, Nagaraju, Sunnam. Comparative Investigation of Deflection in a Bi-directional Curved Functionally Graded Porous Beam Using Unified Shear Deformation Theory. هنرهای کاربردی, 1406; 14(1): 57-73. doi: 10.22075/macs.2025.34258.1680

Comparative Investigation of Deflection in a Bi-directional Curved Functionally Graded Porous Beam Using Unified Shear Deformation Theory

Mechanics of Advanced Composite Structures
دوره 14، شماره 1 - شماره پیاپی 29، تیر 2027، صفحه 57-73    اصل مقاله (967.61 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22075/macs.2025.34258.1680
نویسندگان
Gangi Reddy Gari Chandra Mohana Reddy* 1؛ Bridjesh Pappula2؛ Ravikiran Chintalpudi1؛ Sunnam Nagaraju1
1Department of Mechanical Engineering, MLR Institute of Technology, Hyderabad, 500043, India
2Department of Chemical & Materials Engineering, College of Science, Engineering and Technology, University of South Africa (UNISA), c/o Christiaan de Wet & Pioneer Avenue, Florida Campus 1710, Johannesburg, South Africa
تاریخ دریافت: 07 خرداد 1403،  تاریخ بازنگری: 02 شهریور 1404،  تاریخ پذیرش: 04 آذر 1404 
چکیده
The present study investigates the bending characteristics of a two-dimensional functionally graded curved porous beam using unified shear deformation theory (USDT), incorporating shear functions and a modified power law. This approach integrates potential energy, the neutral surface concept, and equilibrium equations to enhance accuracy. Various boundary conditions, such as simply supported (SS), clamped-supported (CS), clamped-clamped (CC), and clamped-free (CF), are employed in the analysis. A metal-ceramic functionally graded beam with both even and uneven porosity is modelled. The symmetrical material gradation ensures that the physical neutral surface aligns with the geometrical neutral surface, which is considered in the formulation. A displacement-based formulation and energy principles are adopted, providing a more comprehensive and precise analysis of the beams. This method accounts for higher-order shear deformation effects, eliminates the need for shear correction factors, and effectively manages the continuous variation of material properties in FGMs. Consequently, it leads to improved predictions of structural behavior, making USDT particularly valuable for advanced material applications. The Hamilton method is employed to derive equilibrium equations for the beams, which are subsequently solved using the Kuhn-Tucker conditions.
کلیدواژه‌ها
Curved porous beam؛ Bending characteristic؛ Unified shear deformation theory؛ Porosity
مراجع
  1. Sayyad, R.A., Rathi, V.R., Kolase, P.K., 2019. Bending analysis of functionally graded beam curved in elevation using higher order theory. International Research Journal of Engineering and Technology, 6(8), pp.361-367.
  2. Lezgy-Nazargah M., 2020. A four-variable global–local shear deformation theory for the analysis of deep curved laminated composite beams. Acta Mechanica, 231(4), pp.1403–1434.
  3. Beg, M.S., Yasin, M.Y., 2021. Bending, free and forced vibration of functionally graded deep curved beams in thermal environment using an efficient layerwise theory. Mechanics of Materials, 159, 103919.
  4. Sayyad, A.S., Avhad, P.V., 2022. A new higher order shear and normal deformation theory for the free vibration analysis of sandwich curved beams. Composite Structures, 280, 114948.
  5. Hadji, L., Bernard, F., Zouatnia, N., 2023. Bending and free vibration analysis of porous functionally-graded (PFG) beams resting on elastic foundations. Fluid Dynamics and Materials Processing, 19(4), pp.1043–1054.
  6. Avcar, M., Hadji, L., Akan, R., 2022. The influence of Winkler-Pasternak elastic foundations on the natural frequencies of imperfect functionally graded sandwich beams. Geomechanics & engineering, 31(1), pp. 99–112.
  7. Sayyad, A.S., Avhad, P.V., Hadji, L., 2022. On the static deformation and frequency analysis of functionally graded porous circular beams. Forces in Mechanics, 7, 100093.
  8. Chami, G.M., Kahil, A., Hadji, L., 2022. Influence of porosity on the fundamental natural frequencies of FG sandwich beams. Materials Today: Proceedings, 53, pp. 107–112.
  9. Pham, Q.H., Tran, V.K., Nguyen, P.C., 2022. Hygro-thermal vibration of bidirectional functionally graded porous curved beams on variable elastic foundation using generalized finite element method. Case Studies in Thermal Engineering, 40, 102478.
  10. Ahmadi, I., Sladek, J., Sladek, V., 2023. Size dependent free vibration analysis of 2D-functionally graded curved nanobeam by Meshless method. Mechanics of Advanced Materials and Structures, 31(18), 4352-4373.
  11. Belarbi, M.O., Houari, M.S.A., Hirane. H., Daikh, A.A., Bordas, S.P.A., 2022. On the finite element analysis of functionally graded sandwich curved beams via a new refined higher order shear deformation theory. Composite Structures, 279, 114715.
  12. Karamanli, A., Wattanasakulpong, N., Lezgy-Nazargah, M., Vo, T.P., 2023. Bending, buckling and free vibration behaviours of 2D functionally graded curved beams. Structures, 55, pp. 778–798.
  13. Hebbar, N., Hebbar, I., Ouinas, D., Bourada, M., 2020. Numerical modeling of bending, buckling, and vibration of functionally graded beams by using a higher-order shear deformation theory. Fracture and Structural Integrity, 14(52), PP. 230-246.
  14. Razouki, A., Boutahar, L., Khalid E.B., 2020. The Exact Analytical Solution of The Bending Analysis of Thick Functionally Graded Beams with Higher Order Shear Deformation Theory Using Differential Transform Method. International Journal of Advanced Research in Engineering and Technology, 11(5), pp. 194-203.
  15. Reddy, G.C.M., Kumar, N.V., 2022. Bending Analysis of 2-D Functionally Graded Porous Beams Based on Novel High Order Theory. Journal of Engineering Science and Technology Review, 15(5), pp. 189–203.
  16. Bridjesh, P., Chandra Mohana Reddy, G., Geetha, N.K., Ravikiran, C.H., Nagaraju, S., 2023. On Numerical Bending Analysis of Functionally Graded Porous Beam – Effect of Porosity Adapting Higher Order Shear Deformation Theory. Journal of Computational Applied Mechanics, 54(1), pp.49-67.
  17. Bridjesh, P., Chandra Mohana Reddy, G., Geetha, N.K., Ravikiran, C.H., Nagaraju, S., 2023. On Numerical Buckling Analysis of two directional Porous Functionally Graded Beam Using Higher Order Shear Deformation Theory. Academic Journal of Manufacturing Engineering, 21(1), pp. 105-119.
  18. Reddy, G.C.M., Ravi Kiran, C.H., Nagaraju, S., Bridjesh, P., 2023. On numerical analysis of refined higher order shear deformation theory for frequency responses of two-directional functionally graded taper beams. Academic Journal of Manufacturing Engineering, 22(2), pp. 109-120.
  19. Hu, H., Yu, T., Lich, L.V., Bui, T.Q., 2021. Dynamic and static isogeometric analysis for laminated Timoshenko curved microbeams. Engineering Analysis with Boundary Elements, 128, pp. 90–104.
  20. Pei, Y.L, Li, L.X., 2019. Comment on the Navier’s solution in A sinusoidal beam theory for functionally graded sandwich curved beams. Composite Structures, 243, 112248.
  21. Wang, X., Yuan, Z., Jin, C., 2019. 3D free vibration analysis of multi-directional FGM parallel epipeds using the quadrature element method. Applied Mathematical Modelling, 68, pp. 383–404.
  22. Coskun, S., Kim, J., Toutanji, H., 2019. Bending, Free Vibration, and Buckling Analysis of Functionally Graded Porous Micro-Plates Using a General Third-Order Plate Theory. Journal of Composites Science, 3(1), 15.
  23. Kim, J., Zur, K.K., Reddy, J.N., 2019. Bending, free vibration, and buckling of modified couples stress-based functionally graded porous micro-plates. Composite Structures, 209, pp. 879-888.
  24. Saad, M., Hadji, L., 2022. Thermal buckling analysis of porous FGM plates. Materials Today: Proceedings, 53(1), pp. 196–201.
  25. Hadji, L., Fallah, A., Aghdam, M.M., 2022. Influence of the distribution pattern of porosity on the free vibration of functionally graded plates. Structural Engineering and Mechanics, An Int'l Journal, 82(2), pp. 151–61.
  26. Madan, R., Bhowmick, S., Hadji, L., Tounsi, A., 2022. Limit elastic speed analysis of rotating porous annulus functionally graded disks. Steel and Composite Structures, An International Journal, 52(3), pp. 375–388.
  27. Yang, H., Dong, C., Wu, Y., 2020. Postbuckling analysis of multi-directional perforated FGM plates using NURBS-based IGA and FCM. Applied Mathematical Modelling, 84, pp. 466–500.
  28. Thai, S., Nguyen, V.X., Lieu, Q.X., 2022. Bending and free vibration analyses of multidirectional functionally graded plates in thermal environment: a three-dimensional Isogeometric Analysis approach. Compos Structures, 295(1-2), 115797.
  29. Chami, G.M.B., Kahil, A., Hadji, L., Madan, R., Tounsi, A., 2023. Free vibration analysis of multidirectional porous functionally graded sandwich plates. Steel and Composite Structures, 46(2), pp.263–77.
  30. Hadji, L., Bernard, F., Madan, R., Alnujaie, A., Ghazwani, M.H., 2023. Bending and buckling of porous multidirectional functionality graded sandwich plate. Structural engineering and mechanics: An international journal, 85(2), pp. 233–246.
  31. Sidda Reddy, B., Suresh Kumar, J., Eswara Reddy, C., Vijaya Kumar Reddy, K., 2014. Static Analysis of Functionally Graded Plates Using Higher-Order Shear Deformation Theory. International Journal of Applied Science and Engineering, 12(1), pp. 23-41.
  32. Sidda Reddy, B., Suresh Kumar, J., Eswara Reddy, C., Vijaya Kumar Reddy, K., 2014. Free Vibration Behaviour of Functionally Graded Plates Using Higher-Order Shear Deformation Theory. Journal of Applied Science and Engineering, 17(3), pp. 231-241.
  33. Sidda Reddy, B., Vijaya Kumar Reddy, K., 2019. Thermomechanical behaviour of Functionally Graded Plates with HSDT, Journal of Computational and Applied Research in Mechanical Engineering, 11(2). pp. 365-379.
  34. Sidda Reddy, B., Vijaya Kumar Reddy, K., 2020. Flexural behavior of porous functionally graded plates using a novel higher order theory. Journal of Computational Applied Mechanics, 51(2), pp. 361-373.
  35. Sidda Reddy, B., Vijaya Kumar Reddy, K., Chinna Ankanna, B., 2020. Free vibration behavior of bi-directional functionally graded plates with porosities using a refined first order shear deformation theory. Journal of Computational Applied Mechanics, 51(2), pp. 374-388.
  36. Sidda Reddy, B., Vijaya Kumar Reddy, K., 2024. Analyzing the Buckling Behavior of In-plane Bidirectional Functionally Graded Porous Plates. Journal of Computational Applied Mechanics, 55(3), pp. 322-339.
  37. Sidda Reddy, B., Vijaya Kumar Reddy, K., 2020. A refined inverse hyperbolic shear deformation theory for bending analysis of functionally graded porous plates. Journal of Computational Applied Mechanics, 51(2), pp. 417-431.
  38. Sayyad, A.S., Ghugal, Y.M., 2019. A sinusoidal beam theory for functionally graded sandwich curved beams. Composite Structures, 226, 111246.
  39. Karamanli, A., Vo, T.P., 2022. Finite element model for free vibration analysis of curved zigzag nanobeams. Composite Structures, 282(1), 115097.
  40. Rezaiee-Pajand, M., Masoodi, A.R., 2019. Stability analysis of frame having FG tapered beam–column. International Journal of Steel Structures, 19(2), pp. 446-468.
  41. Rezaiee-Pajand, M., Rajabzadeh-Safaei, N., Masoodi, A.R., 2019. An efficient mixed interpolated curved beam element for geometrically nonlinear analysis. Applied Mathematical Modelling, 76, pp. 252-273.
  42. Ghandehari, M.A., Masoodi, A.R., Panda, S.K., 2024. Thermal frequency analysis of double CNT-reinforced polymeric straight beam. Journal of Vibration Engineering & Technologies, 12, pp. 649-665.
  43. Mottaghi, H., Masoodi, A.R., Gandomi, A.H., Multiscale analysis of carbon nanotube-reinforced curved beams: A finite element approach coupled with multilayer perceptron neural network. Results in Engineering, 23, 102585.
  44. Masoodi, A.R., Ghandehari, M.A., Tornabene, F., Dimitri, R., 2024. Natural frequency response of FG-CNT coupled curved beams in thermal conditions. Applied Sciences, 14(2), 687.
  45. Ghandehari, Moein A., Masoodi, Amir R., Hashemi, Seyyed Mohammad , 2025. Dynamic Characterization of Tapered Circular Curved Beams with Honeycomb-Shaped Sections Considering the Impact of Arbitrary Boundary Conditions. International Journal of Structural Stability and Dynamics. doi: 10.1142/S0219455426502524.
  46. Ghandehari, M.A., Masoodi, A.R., 2023. Employing GDQ method for exploring undamped vibrational performance of CNT-reinforced porous coupled curved beam. Advances in nano research, 15(6), pp. 551-
  47. Bao, T.Q., 2014. Subdifferential necessary conditions in set-valued optimization problems with equilibrium constraints. Optimization, 63(2), pp. 181-205.
  48. Kannaiyan, G.N., Balasubramaniam, V., Pappula, B., Makgato, S., 2024. Novel Kuhn-Tucker conditions for vibration analysis in a functionally graded porous beam using the R-program. Results in Engineering, 22, 102064.
  49. Kannaiyan, G.N., Balasubramaniam, V., 2024. Novel Kuhn–Tucker conditions with R-program to analyze the buckling of a functionally graded porous beam. Journal of Mechanics of Materials and Structures, 19(3), pp. 453-476.
  50. Geetha, N.K., Vivekanandam, B., Bridjesh, P., Makgato, S., 2025. Critical buckling analysis of functionally graded porous beam using Karush-Kuhn-Tucker conditions. Advances in Computational Design, 10(1), pp. 1-34.
آمار
تعداد مشاهده مقاله: 237
تعداد دریافت فایل اصل مقاله: 179


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب