Geometrically nonlinear vibration analysis of eccentrically stiffened porous functionally graded annular spherical shell segments

References

• Abdelaziz, H. H., M. A. A. Meziane, A. A. Bousahla, A. Tounsi, S. R. Mahmoud, and A. S. Alwabli. 2017. An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions. Steel and Composite Structures 25 (6):693–704. doi:https://doi.org/10.12989/scs.2017.25.6.693.
   Web of Science ®Google Scholar
• Abdulrazzaq, M. A., R. M. Fenjan, R. A. Ahmed, and N. M. Faleh. 2020a. Thermal buckling of nonlocal clamped exponentially graded plate according to a secant function based refined theory. Steel and Composite Structures 35 (1):147–57.
   Web of Science ®Google Scholar
• Abdulrazzaq, M. A., Z. D. Kadhim, N. M. Faleh, and N. M. Moustafa. 2020b. A numerical method for dynamic characteristics of nonlocal porous metal–ceramic plates under periodic dynamic loads. Structural Monitoring and Maintenance 7 (1):27–42.
   Web of Science ®Google Scholar
• Addou, F. Y., M. Meradjah, A. A. Bousahla, A. Benachour, F. Bourada, A. Tounsi, and S. R. Mahmoud. 2019. Influences of porosity on dynamic response of FG plates resting on Winkler/Pasternak/Kerr foundation using quasi 3D HSDT. Computers and Concrete 24 (4):347–67. doi:https://doi.org/10.12989/cac.2019.24.4.347.
   Web of Science ®Google Scholar
• Ahmed, R. A., R. M. Fenjan, and N. M. Faleh. 2019. Analyzing post-buckling behavior of continuously graded FG nanobeams with geometrical imperfections. Geomechanics and Engineering 17 (2):175–80. doi:https://doi.org/10.12989/gae.2019.17.2.175.
   Web of Science ®Google Scholar
• Ahmed, R. A., R. M. Fenjan, L. B. Hamad, and N. M. Faleh. 2020. A review of effects of partial dynamic loading on dynamic response of nonlocal functionally graded material beams. Advances in Materials Research 9 (1):33–48.
   Google Scholar
• Al-Maliki, A. F., N. M. Faleh, and A. A. Alasadi. 2019. Finite element formulation and vibration of nonlocal refined metal foam beams with symmetric and non-symmetric porosities. Structural Monitoring and Maintenance 6 (2):147–59. doi:https://doi.org/10.12989/smm.2019.6.2.147.
   Web of Science ®Google Scholar
• Al-Maliki, A. F., R. A. Ahmed, N. M. Moustafa, and N. M. Faleh. 2020. Finite element based modeling and thermal dynamic analysis of functionally graded graphene reinforced beams. Advances in Computational Design 5 (2):177–93.
   Web of Science ®Google Scholar
• Azimi, M., S. S. Mirjavadi, N. Shafiei, and A. M. S. Hamouda. 2017. Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam. Applied Physics A 123 (1):104. doi:https://doi.org/10.1007/s00339-016-0712-5.
   Web of Science ®Google Scholar
• Azimi, M., S. S. Mirjavadi, N. Shafiei, A. M. S. Hamouda, and E. Davari. 2018. Vibration of rotating functionally graded Timoshenko nano-beams with nonlinear thermal distribution. Mechanics of Advanced Materials and Structures 25 (6):467–80. doi:https://doi.org/10.1080/15376494.2017.1285455.
   Web of Science ®Google Scholar
• Barati, M. R., and A. M. Zenkour. 2019. Vibration analysis of functionally graded graphene platelet reinforced cylindrical shells with different porosity distributions. Mechanics of Advanced Materials and Structures 26 (18):1580–8. doi:https://doi.org/10.1080/15376494.2018.1444235.
   Web of Science ®Google Scholar
• Duc, N. D., V. D. Quang, and V. T. T. Anh. 2017. The nonlinear dynamic and vibration of the S-FGM shallow spherical shells resting on an elastic foundations including temperature effects. International Journal of Mechanical Sciences 123:54–63. doi:https://doi.org/10.1016/j.ijmecsci.2017.01.043.
   Web of Science ®Google Scholar
• Duc, N. D., V. T. T. Anh, V. T. Huong, V. D. Quang, and P. D. Nguyen. 2019. Nonlinear dynamic response of nano-composite sandwich annular spherical shells. VNU Journal of Science: Mathematics: Physics 35 (3). doi:https://doi.org/10.25073/2588-1124/vnumap.4360.
   Google Scholar
• Ebrahimi, F., A. Dabbagh, and A. Rastgoo. 2019. Free vibration analysis of multi-scale hybrid nanocomposite plates with agglomerated nanoparticles. Mechanics Based Design of Structures and Machines 1–24. doi:https://doi.org/10.1080/15397734.2019.1692665.
   Google Scholar
• Fadaee, M., S. R. Atashipour, and S. Hosseini-Hashemi. 2013. Free vibration analysis of Lévy-type functionally graded spherical shell panel using a new exact closed-form solution. International Journal of Mechanical Sciences 77:227–38. doi:https://doi.org/10.1016/j.ijmecsci.2013.10.008.
   Web of Science ®Google Scholar
• Fenjan, R. M., R. A. Ahmed, A. A. Alasadi, and N. M. Faleh. 2019. Nonlocal strain gradient thermal vibration analysis of double-coupled metal foam plate system with uniform and non-uniform porosities. Coupled Systems Mechanics 8 (3):247–57. doi:https://doi.org/10.12989/csm.2019.8.3.247.
   Web of Science ®Google Scholar
• Fenjan, R. M., L. B. Hamad, and N. M. Faleh. 2020. Mechanical-hygro-thermal vibrations of functionally graded porous plates with nonlocal and strain gradient effects. Advances in Aircraft and Spacecraft Science 7 (2):169–86.
   Web of Science ®Google Scholar
• Gao, C., F. Pang, H. Li, and L. Li. 2020. An approximate solution for vibrations of uniform and stepped functionally graded spherical cap based on Ritz method. Composite Structures 233:111640. doi:https://doi.org/10.1016/j.compstruct.2019.111640.
   Web of Science ®Google Scholar
• Hamad, L. B., B. S. Khalaf, and N. M. Faleh. 2019. Analysis of static and dynamic characteristics of strain gradient shell structures made of porous nano-crystalline materials. Advances in Materials Research 8 (3):179–96.
   Google Scholar
• Hao, P., B. Wang, G. Li, Z. Meng, K. Tian, and X. Tang. 2014. Hybrid optimization of hierarchical stiffened shells based on smeared stiffener method and finite element method. Thin-Walled Structures 82:46–54. doi:https://doi.org/10.1016/j.tws.2014.04.004.
   Web of Science ®Google Scholar
• Khalaf, B. S., R. M. Fenjan, and N. M. Faleh. 2019. Analyzing nonlinear mechanical–thermal buckling of imperfect micro-scale beam made of graded graphene reinforced composites. Advances in Materials Research 8 (3):219.
   Google Scholar
• Kunbar, L. A. H., B. M. Alkadhimi, H. S. Radhi, and N. M. Faleh. 2019. Flexoelectric effects on dynamic response characteristics of nonlocal piezoelectric material beam. Advances in Materials Research 8 (4):259–74.
   Google Scholar
• Li, K., D. Wu, X. Chen, J. Cheng, Z. Liu, W. Gao, and M. Liu. 2018. Isogeometric analysis of functionally graded porous plates reinforced by graphene platelets. Composite Structures 204:114–30. doi:https://doi.org/10.1016/j.compstruct.2018.07.059.
   Web of Science ®Google Scholar
• Li, Q., D. Wu, X. Chen, L. Liu, Y. Yu, and W. Gao. 2018. Nonlinear vibration and dynamic buckling analyses of sandwich functionally graded porous plate with graphene platelet reinforcement resting on Winkler–Pasternak elastic foundation. International Journal of Mechanical Sciences 148:596–610. doi:https://doi.org/10.1016/j.ijmecsci.2018.09.020.
   Web of Science ®Google Scholar
• Li, Q., D. Wu, W. Gao, F. Tin-Loi, Z. Liu, and J. Cheng. 2019. Static bending and free vibration of organic solar cell resting on Winkler–Pasternak elastic foundation through the modified strain gradient theory. European Journal of Mechanics: A/Solids 78:103852. doi:https://doi.org/10.1016/j.euromechsol.2019.103852.
   Web of Science ®Google Scholar
• Li, H., F. Pang, and H. Chen. 2019. A semi-analytical approach to analyze vibration characteristics of uniform and stepped annular-spherical shells with general boundary conditions. European Journal of Mechanics: A/Solids 74:48–65. doi:https://doi.org/10.1016/j.euromechsol.2018.10.017.
   Web of Science ®Google Scholar
• Liu, Z., C. Yang, W. Gao, D. Wu, and G. Li. 2019. Nonlinear behaviour and stability of functionally graded porous arches with graphene platelets reinforcements. International Journal of Engineering Science 137:37–56. doi:https://doi.org/10.1016/j.ijengsci.2018.12.003.
   Web of Science ®Google Scholar
• Mahmoudi, A., S. Benyoucef, A. Tounsi, A. Benachour, E. A. Adda Bedia, and S. R. Mahmoud. 2019. A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations. Journal of Sandwich Structures and Materials 21 (6):1906–29. doi:https://doi.org/10.1177/1099636217727577.
   Web of Science ®Google Scholar
• Mirjavadi, S. S., S. Rabby, N. Shafiei, B. M. Afshari, and M. Kazemi. 2017. On size-dependent free vibration and thermal buckling of axially functionally graded nanobeams in thermal environment. Applied Physics A 123 (5):315. doi:https://doi.org/10.1007/s00339-017-0918-1.
   Web of Science ®Google Scholar
• Mirjavadi, S. S., B. M. Afshari, M. R. Barati, and A. M. S. Hamouda. 2018. Strain gradient based dynamic response analysis of heterogeneous cylindrical microshells with porosities under a moving load. Materials Research Express 6 (3):035029. doi:https://doi.org/10.1088/2053-1591/aaf5a2.
   Web of Science ®Google Scholar
• Mirjavadi, S. S., B. M. Afshari, M. Khezel, N. Shafiei, S. Rabby, and M. Kordnejad. 2018. Nonlinear vibration and buckling of functionally graded porous nanoscaled beams. Journal of the Brazilian Society of Mechanical Sciences and Engineering 40 (7):352. doi:https://doi.org/10.1007/s40430-018-1272-8.
   Web of Science ®Google Scholar
• Mirjavadi, S. S., M. Forsat, A. M. S. Hamouda, and M. R. Barati. 2019. Dynamic response of functionally graded graphene nanoplatelet reinforced shells with porosity distributions under transverse dynamic loads. Materials Research Express 6 (7):075045. doi:https://doi.org/10.1088/2053-1591/ab1552.
   Web of Science ®Google Scholar
• Mirjavadi, S. S., B. M. Afshari, M. R. Barati, and A. M. S. Hamouda. 2019. Transient response of porous FG nanoplates subjected to various pulse loads based on nonlocal stress–strain gradient theory. European Journal of Mechanics: A/Solids 74:210–20. doi:https://doi.org/10.1016/j.euromechsol.2018.11.004.
   Web of Science ®Google Scholar
• Mirjavadi, S. S., B. M. Afshari, M. R. Barati, and A. M. S. Hamouda. 2019. Nonlinear free and forced vibrations of graphene nanoplatelet reinforced microbeams with geometrical imperfection. Microsystem Technologies 25 (8):3137–50. doi:https://doi.org/10.1007/s00542-018-4277-4.
   Web of Science ®Google Scholar
• Mirjavadi, S. S., M. Forsat, M. R. Barati, G. M. Abdella, A. M. S. Hamouda, B. M. Afshari, and S. Rabby. 2019. Post-buckling analysis of piezo-magnetic nanobeams with geometrical imperfection and different piezoelectric contents. Microsystem Technologies 25 (9):3477–88. doi:https://doi.org/10.1007/s00542-018-4241-3.
   Web of Science ®Google Scholar
• Mirzaei, M. 2019. Vibrations of FG-CNT reinforced composite cylindrical panels with cutout. Mechanics Based Design of Structures and Machines 1–21. https://doi.org/10.1080/15397734.2019.1705165.
   Google Scholar
• Muhammad, A. K., L. B. Hamad, R. M. Fenjan, and N. M. Faleh. 2019. Analyzing large-amplitude vibration of nonlocal beams made of different piezo-electric materials in thermal environment. Advances in Materials Research 8 (3):237–57.
   Google Scholar
• Ninh, D. G., and D. H. Bich. 2016. Nonlinear thermal vibration of eccentrically stiffened ceramic–FGM–metal layer toroidal shell segments surrounded by elastic foundation. Thin-Walled Structures 104:198–210. doi:https://doi.org/10.1016/j.tws.2016.03.018.
   Web of Science ®Google Scholar
• Su, Z., L. Wang, K. Sun, and D. Wang. 2019. Vibration characteristic and flutter analysis of elastically restrained stiffened functionally graded plates in thermal environment. International Journal of Mechanical Sciences 157–158:872–84. doi:https://doi.org/10.1016/j.ijmecsci.2019.05.028.
   Web of Science ®Google Scholar
• Trinh, M. C., and S. E. Kim. 2019a. Nonlinear stability of moderately thick functionally graded sandwich shells with double curvature in thermal environment. Aerospace Science and Technology 84:672–85. doi:https://doi.org/10.1016/j.ast.2018.09.018.
   Web of Science ®Google Scholar
• Trinh, M. C., and S. E. Kim. 2019b. A three variable refined shear deformation theory for porous functionally graded doubly curved shell analysis. Aerospace Science and Technology 94:105356. doi:https://doi.org/10.1016/j.ast.2019.105356.
   Web of Science ®Google Scholar
• Trinh, M. C., D. D. Nguyen, and S. E. Kim. 2019. Effects of porosity and thermomechanical loading on free vibration and nonlinear dynamic response of functionally graded sandwich shells with double curvature. Aerospace Science and Technology 87:119–32. doi:https://doi.org/10.1016/j.ast.2019.02.010.
   Web of Science ®Google Scholar
• Wang, Q., D. Wu, F. Tin-Loi, and W. Gao. 2019. Machine learning aided stochastic structural free vibration analysis for functionally graded bar-type structures. Thin-Walled Structures 144:106315. doi:https://doi.org/10.1016/j.tws.2019.106315.
   Web of Science ®Google Scholar
• Wattanasakulpong, N., B. G. Prusty, D. W. Kelly, and M. Hoffman. 2012. Free vibration analysis of layered functionally graded beams with experimental validation. Materials & Design (1980–2015) 36:182–90. doi:https://doi.org/10.1016/j.matdes.2011.10.049.
   Web of Science ®Google Scholar
• Wu, D., A. Liu, Y. Huang, Y. Huang, Y. Pi, and W. Gao. 2018. Dynamic analysis of functionally graded porous structures through finite element analysis. Engineering Structures 165:287–301. doi:https://doi.org/10.1016/j.engstruct.2018.03.023.
   Web of Science ®Google Scholar
• Wu, D., Q. Wang, A. Liu, Y. Yu, Z. Zhang, and W. Gao. 2019. Robust free vibration analysis of functionally graded structures with interval uncertainties. Composites Part B: Engineering 159:132–45. doi:https://doi.org/10.1016/j.compositesb.2018.09.082.
   Web of Science ®Google Scholar
• Xie, K., M. Chen, and Z. Li. 2017. A semi-analytical method for vibration analysis of thin spherical shells with elastic boundary conditions. Journal of Vibroengineering 19 (4):2312–30. doi:https://doi.org/10.21595/jve.2016.17154.
   Web of Science ®Google Scholar