참고문헌
- Reddy, J.N. (1997), Mechanics of Laminated Composite Plates-Theory and Analysis, Boca Raton, FL: CRC Press.
- Huang, W. and Tahouneh, V. (2021), "Frequency study of porous FGPM beam on two-parameter elastic foundations via Timoshenko theory", Steel Compos. Struct., 40(1), 139-156. https://doi.org/10.12989/scs.2021.40.1.139.
- Whitney, J.M. (2018), Structural Analysis of Laminated Anisotropic Plates. Routledge.
- Zeren, S. and Gurgoze, M. (2013), "On the dynamics of rotating, tapered, visco-elastic beams with a heavy tip mass", Struct. Eng. Mech., 45(1), 69-93. https://doi.org/10.12989/sem.2013.45.1.069.
- Berthelot, J.M. and Ling, F.F. (1999), "Composite materials: mechanical behavior and structural analysis", 435. Springer. https://doi.org/10.1007/978-1-4612-0527-2.
- Mao, Q. (2015), "AMDM for free vibration analysis of rotating tapered beams", Struct. Eng. Mech., 54(3), 419-432. https://doi.org/10.12989/sem.2015.54.3.419.
- Krishnaswamy, S., Chandrashekhara, K. and Wu, W.Z.B. (1992), "Analytical solutions to vibration of generally layered composite beams", J. Sound Vib., 159(1), 85-99. https://doi.org/10.1016/0022-460X(92)90452-4
- Simsek, M. (2011), "Forced vibration of an embedded single-walled carbon nanotube traversed by a moving load using nonlocal Timoshenko beam theory", Steel Compos. Struct., 11(1), 59-76. https://doi.org/10.12989/scs.2011.11.1.059.
- Noor, A.K. (1973), "Free vibrations of multilayered composite plates", AIAA J., 11(7), 1038-1039. https://doi.org/10.2514/3.6868
- Miller, A.K. and Adams, D.F. (1975), "An analytic means of determining the flexural and torsional resonant frequencies of generally orthotropic beams", J. Sound Vib., 41(4), 433-449. https://doi.org/10.1016/S0022-460X(75)80107-6
- Shokouhifard, V., Mohebpour, S., Malekzadeh, P. and Alighanbari, H. (2020), "An inclined FGM beam under a moving mass considering Coriolis and centrifugal accelerations", Steel Compos. Struct., 35(1), 61-76. https://doi.org/10.12989/scs.2020.35.1.061.
- Mohammadimehr, M. and Shahedi, S. (2016), "Nonlinear magneto-electro-mechanical vibration analysis of double-bonded sandwich Timoshenko microbeams based on MSGT using GDQM", Steel Compos. Struct., 21(1), 1-36. https://doi.org/10.12989/scs.2016.21.1.001.
- Chen, A.T. and Yang, T.Y. (1985), "Static and dynamic formulation of a symmetrically laminated beam finite element for a microcomputer", J. Compos. Mater., 19(5), 459-475. https://doi.org/10.1177/002199838501900505
- Chandrashekhara, K., Krishnamurthy, K. and Roy, S. (1990), "Free vibration of composite beams including rotary inertia and shear deformation", Compos. Struct., 14(4), 269-279. https://doi.org/10.1016/0263-8223(90)90010-C
- Moghtaderi, S.H., Faghidian, S.A. and Shodja, H.M. (2018), "Analytical determination of shear correction factor for Timoshenko beam model", Steel Compos. Struct., 29(4), 483-491. https://doi.org/10.12989/scs.2018.29.4.483.
- Shi, G., Lam, K.Y. and Tay, T.E. (1998), "On efficient finite element modeling of composite beams and plates using higher-order theories and an accurate composite beam element", Compos. Struct., 41(2), 159-165. https://doi.org/10.1016/S0263-8223(98)00050-6.
- Ramtekkar, G.S., Desai, Y.M. and Shah, A.H. (2002), "Natural vibrations of laminated composite beams by using mixed finite element modelling", J. Sound Vib., 257(4), 635-651. https://doi.org/10.1006/jsvi.2002.5072.
- Mackerle, J. (1997), "Finite element linear and nonlinear, static and dynamic analysis of structural elements: A bibliography (1992-1995)", Eng. Comput., 14(4), 347-440. https://doi.org/10.1108/02644409710178494
- Han, W. and Petyt, M. (1996), "Linear vibration analysis of laminated rectangular plates using the hierarchical finite element method-I. Free vibration analysis", Comput. Struct., 61(4), 705-712. https://doi.org/10.1016/0045-7949(95)00379-7.
- Rahmani, O., Hosseini, S.A.H., Ghoytasi, I. and Golmohammadi, H. (2018), "Free vibration of deep curved FG nano-beam based on modified couple stress theory", Steel Compos. Struct., 26(5), 607-620. https://doi.org/10.12989/scs.2018.26.5.607.
- West, L.J., Bardell, N.S., Dunsdon, J.M. and Loasby, P.M. (1997), "Some limitations associated with the use of K-orthogonal polynomials in hierarchical versions of the finite element method", Structural Dynamics: Recent Advances, Southampton, 14-17 July 1997, 217-231.
- Houmat, A. (1997), "An alternative hierarchical finite element formulation applied to plate vibrations", J. Sound Vib., 206(2), 201-215. https://doi.org/10.1006/jsvi.1997.1076.
- Bert, C.W. and Kim, C.D. (1993), "Whirling of composite-material driveshafts including bending-twisting coupling and transverse shear deformation", In International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 6395, 47-53. American Society of Mechanical Engineers.
- Akbas, S.D. (2018), "Post-buckling responses of a laminated composite beam", Steel Compos. Struct., 26(6), 733-743. https://doi.org/10.12989/scs.2018.26.6.733.
- Kim, C.D. and Bert, C.W. (1993), "Critical speed analysis of laminated composite, hollow drive shafts", Compos. Eng., 3(7-8), 633-643. https://doi.org/10.1016/0961-9526(93)90087-Z
- Ebrahimi, F. and Dashti, S. (2015), "Free vibration analysis of a rotating non-uniform functionally graded beam", Steel Compos. Struct., 19(5), 1279-1298. https://doi.org/10.12989/scs.2015.19.5.1279.
- Guler, S. (2021), "Free vibration analysis of a rotating single edge cracked axially functionally graded beam for flap-wise and chord-wise modes", Eng. Struct., 242, 112564. https://doi.org/10.1016/j.engstruct.2021.112564.
- Mazanoglu, K. and Guler, S. (2017), "Flap-wise and chord-wise vibrations of axially functionally graded tapered beams rotating around a hub", Mech. Syst. Sig. Processing, 89, 97-107. https://doi.org/10.1016/j.ymssp.2016.07.017.
- Kara, M., Guler, S. and Secgin, A. (2021), "Sensitivity analysis of laminated composite plates with different orientations in low to high order modes", Smart Mater. Struct, 30(8), 085034. https://doi.org/10.1088/1361-665X/ac0f46.
- Mohammadnejad, M. and Saffari, H. (2019), "Flapwise and non-local bending vibration of the rotating beams", Struct. Eng. Mech., 72(2), 229-244. https://doi.org/10.12989/sem.2019.72.2.229.
- Almitani, K.H., Eltaher, M.A., Abdelrahman, A.A. and Abd-El-Mottaleb, H.E. (2021), "Finite element based stress and vibration analysis of axially functionally graded rotating beams", Struct. Eng. Mech., 79(1), 23-33. https://doi.org/10.12989/sem.2021.79.1.023.
- Kara, M., Guler, S. and Secgin, A. (2021), "Sensitivity analysis of laminated composite plates with different orientations in low to high order modes", Smart Mater. Struct., 30(8), 085034. https://doi.org/10.1088/1361-665X/ac0f46.
- Chang, C.Y., Chang, M.Y. and Huang, J.H. (2004), "Vibration analysis of rotating composite shafts containing randomly oriented reinforcements", Compos. Struct., 63(1), 21-32. https://doi.org/10.1016/S0263-8223(03)00121-1
- Kim, W., Argento, A. and Scott, R.A. (1999), "Free vibration of a rotating tapered composite Timoshenko shaft", J. Sound Vib., 226(1), 125-147. https://doi.org/10.1006/jsvi.1999.2289