References
- Arvin, H. 2017. Free vibration analysis of micro rotating beams based on the strain gradient theory using the differential transform method: Timoshenko versus Euler-Bernoulli beam models. European Journal of Mechanics - A/Solids 65:336–48. doi:https://doi.org/10.1016/j.euromechsol.2017.05.006.
- Arvin, H. 2018. The flapwise bending free vibration analysis of micro-rotating Timoshenko beams using the differential transform method. Journal of Vibration and Control 24 (20):4868–84. doi:https://doi.org/10.1177/1077546317736706.
- Arvin, H. 2019. On parametrically excited vibration and stability of beams with varying rotating speed. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering 43 (2):177–85. doi:https://doi.org/10.1007/s40997-017-0125-x.
- Arvin, H., A. Arena, and W. Lacarbonara. 2020. Nonlinear vibration analysis of rotating beams undergoing parametric instability: Lagging-axial motion. Mechanical Systems and Signal Processing 144:106892. doi:https://doi.org/10.1016/j.ymssp.2020.106892.
- Arvin, H., M. Sadighi, and A. Ohadi. 2010. A numerical study of free and forced vibration of composite sandwich beam with viscoelastic core. Composite Structures 92 (4):996–1008. doi:https://doi.org/10.1016/j.compstruct.2009.09.047.
- Arvin, H., Y.-Q. Tang, and A. Ahmadi Nadooshan. 2016. Dynamic stability in principal parametric resonance of rotating beams: Method of multiple scales versus differential quadrature method. International Journal of Non-Linear Mechanics 85:118–25. doi:https://doi.org/10.1016/j.ijnonlinmec.2016.06.007.
- Babaei, A., and A. Rahmani. 2020. Vibration analysis of rotating thermally-stressed gyroscope, based on modified coupled displacement field method. Mechanics Based Design of Structures and Machines. doi:https://doi.org/10.1080/15397734.2020.1713156.
- Dabbagh, A., A. Rastgoo, and F. Ebrahimi. 2020. Thermal buckling analysis of agglomerated multiscale hybrid nanocomposites via a refined beam theory. Mechanics Based Design of Structures and Machines. doi:https://doi.org/10.1080/15397734.2019.1692666.
- Das, D. 2017. Free vibration and buckling analyses of geometrically non-linear and shear-deformable FGM beam fixed to the inside of a rotating rim. Composite Structures 179:628–45. doi:https://doi.org/10.1016/j.compstruct.2017.07.051.
- Esfahani, S. E., Y. Kiani, M. Komijani, and M. R. Eslami. 2014. Vibration of a temperature-dependent thermally pre/postbuckled FGM beam over a nonlinear hardening elastic foundation. Journal of Applied Mechanics 81 (1):011004. doi:https://doi.org/10.1115/1.4023975.
- Heidari, M., and H. Arvin. 2019. Nonlinear free vibration analysis of functionally graded rotating composite Timoshenko beams reinforced by carbon nanotubes. Journal of Vibration and Control 25 (14):2063–78. doi:https://doi.org/10.1177/1077546319847836.
- Khosravi, S., H. Arvin, and Y. Kiani. 2019a. Interactive thermal and inertial buckling of rotating temperature-dependent FG-CNT reinforced composite beams. Composites Part B: Engineering 175:107178. doi:https://doi.org/10.1016/j.compositesb.2019.107178.
- Khosravi, S., H. Arvin, and Y. Kiani. 2019b. Vibration analysis of rotating composite beams reinforced with carbon nanotubes in thermal environment. International Journal of Mechanical Sciences 164:105187. doi:https://doi.org/10.1016/j.ijmecsci.2019.105187.
- Kiani, Y., S. Taheri, and M. R. Eslami. 2011. Thermal buckling of piezoelectric functionally graded material beams. Journal of Thermal Stresses 34 (8):835–50. doi:https://doi.org/10.1080/01495739.2011.586272.
- Meirovitch, L. 1997. Principles and techniques of vibrations. Upper Saddle River, NJ: Prentice Hall.
- Pal, S., and D. Das. 2017. A tangent stiffness–based approach to study free vibration of shear-deformable functionally graded material rotating beam through a geometrically non-linear analysis. The Journal of Strain Analysis for Engineering Design 52 (5):310–32. doi:https://doi.org/10.1177/0309324717714186.
- Piovan, M. T., and R. Sampaio. 2009. A study on the dynamics of rotating beams with functionally graded properties. Journal of Sound and Vibration 327 (1–2):134–43. doi:https://doi.org/10.1016/j.jsv.2009.06.015.
- Pytel, A., and J. Kiusalaas. 2016. Engineering mechanics: Dynamics. 4th ed. Boston, MA: Cengage Learning.
- Reddy, J. N. 2003. Mechanics of laminated composite plates and shells: Theory and analysis. 2nd ed. Boca Raton, FL: CRC Press.
- Reddy, J. N. 2005. An introduction to nonlinear finite element analysis. New York: Oxford Univeristy Press.
- Rezaiee-Pajand, M., M. Mokhtari, and S. Hozhabrossadati. 2019. Application of Hencky bar-chain model to buckling analysis of elastically restrained Timoshenko axially functionally graded carbon nanotube reinforced composite beams. Mechanics Based Design of Structures and Machines 47 (5):599–620. doi:https://doi.org/10.1080/15397734.2019.1596129.
- Shahedi, S., and M. Mohammadimehr. 2019. Vibration analysis of rotating fully-bonded and delaminated sandwich beam with CNTRC face sheets and AL-foam flexible core in thermal and moisture environments. Mechanics Based Design of Structures and Machines. doi:https://doi.org/10.1080/15397734.2019.1646661.
- She, G. L., F. G. Yuan, and Y. R. Ren. 2017. Thermal buckling and post-buckling analysis of functionally graded beams based on a general higher-order shear deformation theory. Applied Mathematical Modelling 47:340–57. doi:https://doi.org/10.1016/j.apm.2017.03.014.
- Zhang, D. G. 2014. Thermal post-buckling and nonlinear vibration analysis of FGM beams based on physical neutral surface and high order shear deformation theory. Meccanica 49 (2):283–93. doi:https://doi.org/10.1007/s11012-013-9793-9.
- Zhang, D. G., and H. M. Zhou. 2014. Nonlinear bending and thermal post-buckling analysis of FGM beams resting on nonlinear elastic foundations. Computer Modeling in Engineering and Sciences 100 (3):201–22.
- Zhao, F. Q., Z. M. Wang, and H. Z. Liu. 2007. Thermal post-buckling analyses of functionally graded material rod. Applied Mathematics and Mechanics 28 (1):59–67. doi:https://doi.org/10.1007/s10483-007-0107-z.