[
1. de Silva C. Vibration and Shock Handbook. Taylor & Francis. Boca Raton. 2005.10.1201/9781420039894
]Search in Google Scholar
[
2. Rao SS, Vibration of Continuous Systems. Wiley. Hoboken. 2007.10.1002/9780470117866
]Search in Google Scholar
[
3. Ngo VT, Xie D, Xiong Y, Zhang H, Yang Y. Dynamic analysis of a rig shafting vibration based on finite element. Frontiers of Mechanical Engineering. 2013;8:244-251.10.1007/s11465-013-0264-8
]Search in Google Scholar
[
4. Noga S. Dynamical analysis of the low – power electrical engine rotor. 10 European Mechanics of Materials Conference (EMMC10). Kazimierz Dolny. June 11-14. 2017:457-465.
]Search in Google Scholar
[
5. Noga S, Bogacz R. Free vibration of the Timoshenko beam interacting with the Winkler foundation. Symulacja w Badaniach i Rozwoju. 2011;2(4):209-223.
]Search in Google Scholar
[
6. Friswell M, Mottershead J. Finite Element Model Updating in Structural Dynamics. Kluwer Academic Publishers. Dordrecht. 1995.10.1007/978-94-015-8508-8
]Search in Google Scholar
[
7. Noga S. Analytical and Numerical Problems of Systems with Circular Symmetry Vibrations. Publishing House of Rzeszow University of Technology. Rzeszow. Poland (in Polish). 2015.
]Search in Google Scholar
[
8. Lee U, Jang I. Spectral element model for the vibration of a spinning Timoshenko shaft. Journal of Mechanics of Materials and Structures. 2012;7(2):145-164.10.2140/jomms.2012.7.145
]Search in Google Scholar
[
9. Shahgholi M, Khadem SE, Bab S. Free vibration analysis of a nonlinear slender rotating shaft with simply support conditions. Mechanism and Machine Theory. 2014;82:128-140.10.1016/j.mechmachtheory.2014.08.005
]Search in Google Scholar
[
10. Kaliski S. Vibration and Waves in Solids. IPPT PAN. Warsaw (in Polish). 1966.
]Search in Google Scholar
[
11. Auciello NM. Vibrations of Timoshenko beams on two parameter elastic soil. Engineering Transactions. 2008; 56(3):187-200.
]Search in Google Scholar
[
12. Majkut L. Free and forced vibrations of Timoshenko beams described by single difference equation. Journal of Theoretical and Applied Mechanics. 2009;47(1):193-210.
]Search in Google Scholar
[
13. Chan KT. Wang XQ. Free vibration of a Timoshenko beam partially loaded with distributed mass. Journal of Sound and Vibration. 1997;206:353-369.10.1006/jsvi.1997.1124
]Search in Google Scholar
[
14. Awrejcewicz J, Krysko AV, Pavlov SP, Zhigalov MV, Krysko VA. Chaotic dynamics of size dependent Timoshenko beams with functionally graded properties along their thickness. Mechanical Systems and Signal Procesing. 2017;93:415-430.10.1016/j.ymssp.2017.01.047
]Search in Google Scholar
[
15. Zhao TY, Cui YS, Pan HG, Yuan HQ, Yang J. Free vibration analysis of a functionally graded graphene nanoplatelet reinforced disk-shaft assembly with whirl motion. International Journal of Mechanical Sciences. 2021;197:106335.10.1016/j.ijmecsci.2021.106335
]Search in Google Scholar
[
16. Zhao TY, Cui YS, Wang YQ, Pan HG. Vibration characteristics of graphene nanoplatelet reinforced disk-shaft rotor with eccentric mass. Mechanics of Advanced Materials and Structures. 2021. https://doi.org/10.1080/15376494.2021.1904525.
]Search in Google Scholar
[
17. Zhao TY, Jiang LP, Pan HG, Yang J, Kitipornchai S. Coupled free vibration of a functionally graded pre-twisted blade-shaft system reinforced with graphene nanoplatelets. Composite Structures. 2021; 262:113362.10.1016/j.compstruct.2020.113362
]Search in Google Scholar
[
18. Zhao TY, Jiang LP, Yu YX, Wang YQ. Study on theoretical modeling and mechanical performance of a spinning porous graphene nano-platelet reinforced beam attached with double blades. Mechanics of Advanced Materials and Structures. https://doi.org/10.1080/15376494.2022.2035862; 2022.
]Search in Google Scholar
[
19. Awrejcewicz J, Krysko VA, Pavlov SP, Zhigalov MV, Kalutsky LA, Krysko VA. Thermoelastic vibrations of a Timoshenko microbeam based on the modified coupe stress theory. Nonlinear Dynamics. 2020;99:919-943.10.1007/s11071-019-04976-w
]Search in Google Scholar
[
20. Qatu MS, Iqbal J. Transverse vibration of a two-segment cross-ply composite shafts with a lumped mass. Composite Structures. 2010;92:1126-1131.10.1016/j.compstruct.2009.10.007
]Search in Google Scholar
[
21. Arab SB, Rodrigues JD, Bouaziz S, Haddar M. Dynamic analysis of laminated rotors using a layerwise theory. Composite Structures. 2017;182:335-345.10.1016/j.compstruct.2017.09.033
]Search in Google Scholar
[
22. Myklestad NO. A new method of calculating natural modes of coupled bending vibration of airplane wings and other types of beams. Journal of Aeronautical Science. 1944;11:153-162.10.2514/8.11116
]Search in Google Scholar
[
23. Wu JS, Yang IH. Computer method for torsion and flexure coupled forced vibration of shafting system with damping. Journal of Sound and Vibration. 1995;180. (3):417-435.10.1006/jsvi.1995.0088
]Search in Google Scholar
[
24. Yang M, Zhou X, Zhang W, Ye J, Hu Y. A modified transfer matrix method for bending vibration of CFRP/Steel composite transmission shafting. Archive of Applied Mechanics. 2020;90:603-614.10.1007/s00419-019-01628-8
]Search in Google Scholar
[
25. Farshidianfar A, Soheili S, Abachizadeh M. Flexural vibration of Timoshenko beams. using distributed lumped modeling technique. Aerospace Mechanics Journal. 2008;4(1):75-84.
]Search in Google Scholar
[
26. Soheili S. Abachizadeh M. Flexural vibration of multistep rotating Timoshenko shafts using hybrid modeling and optimization techniques. Journal of Vibration and Control. https://doi.org/10.1177/10775463211072406; 2022.
]Search in Google Scholar
, 