تحلیل فرکانس‌های طبیعی تیر تیموشنکو مخروطی چرخان از جنس مواد تابعی با لایه محرک پیزوالکتریک

[1] Southwell R, Gough F. The Free Transverse Vibration of Airscrew Blades", British ARC Reports and Memoranda, No. 766. 1921.##

[2] Yokoyama T. Free vibration characteristics of rotating Timoshenko beams. International Journal of Mechanical Sciences. 1988;30(10):743-55.##

[3] Lee S-Y, Kuo Y. Bending frequency of a rotating Timoshenko beam with general elastically restrained root. Journal of Sound and Vibration. 1993;162(2):243-50.##

[4] Du H, Lim M, Liew K. A power series solution for vibration of a rotating Timoshenko beam. Journal of Sound and Vibration. 1994;175(4):505-23.##

[5] Banerjee J. Dynamic stiffness formulation and free vibration analysis of centrifugally stiffened Timoshenko beams. Journal of Sound and Vibration. 2001;247(1):97-115.##

[6] Fang J-S, Zhou D. Free vibration analysis of rotating axially functionally graded tapered Timoshenko beams. International Journal of Structural Stability and Dynamics. 2016;16(05):1550007.##

[7] Bazoune A, Khulief Y. A finite beam element for vibration analysis of rotating tapered Timoshenko beams. Journal of Sound and Vibration. 1992;156(1):141-64.##

[8] Schilhansl M. Bending frequency of a rotating cantilever beam. 1958.##

[9] Yoo H, Shin S. Vibration analysis of rotating cantilever beams. Journal of Sound and vibration. 1998;212(5):807-28.##

[10] Lin S, Hsiao K. Vibration analysis of a rotating Timoshenko beam. Journal of Sound and Vibration. 2001;240(2):303-22.##

[11] Choi S-C, Park J-S, Kim J-H. Vibration control of pre-twisted rotating composite thin-walled beams with piezoelectric fiber composites. Journal of Sound and Vibration. 2007;300(1-2):176-96.##

[12] Zarrinzadeh H, Attarnejad R, Shahba A. Free vibration of rotating axially functionally graded tapered beams. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering. 2012;226(4):363-79.##

[13] Fathabadi M. Analysis of free and forced vibrations of FGM beam with piezoelectric layers. M.Sc. Thesis, Khajeh Nasir al-Din Tusi University, Faculty of Mechanical Engineering, 2011 (In Persian).##

[14] Fang J, Zhou D. Free vibration analysis of rotating axially functionally graded-tapered beams using Chebyshev–Ritz method. Materials Research Innovations. 2015;19(sup5):S5-1255-S5-62.##

[15] Aksencer T, Aydogdu M. Flapwise vibration of rotating composite beams. Composite Structures. 2015;134:672-9.##

[16] Kaya MO. Free vibration analysis of a rotating Timoshenko beam by differential transform method. Aircraft engineering and aerospace Technology. 2006.##

[17] Subrahmanyam K, Kulkarni S, Rao J. Coupled bending-torsion vibrations of rotating blades of asymmetric aerofoil cross section with allowance for shear deflection and rotary inertia by use of the Reissner method. Journal of Sound and Vibration. 1981;75(1):17-36.##

[18] Ozgumus OO, Kaya MO. Energy expressions and free vibration analysis of a rotating double tapered Timoshenko beam featuring bending–torsion coupling. International journal of engineering science. 2007;45(2-8):562-86.##

[19] Kaya MO, Ozgumus OO. Energy expressions and free vibration analysis of a rotating uniform Timoshenko beam featuring bending—torsion coupling. Journal of Vibration and Control. 2010;16(6):915-34.##

[20] Ozdemir Ozgumus O, Kaya MO. Energy expressions and free vibration analysis of a rotating Timoshenko beam featuring bending–bending-torsion coupling. Archive of Applied Mechanics. 2013;83(1):97-108.##

[21] Sarparast H, Ebrahimi‐Mamaghani A, Safarpour M, Ouakad HM, Dimitri R, Tornabene F. Nonlocal study of the vibration and stability response of small‐scale axially moving supported beams on viscoelastic‐Pasternak foundation in a hygro‐thermal environment. Mathematical Methods in the Applied Sciences. 2020.##

[22] Elaikh TE, Abed NM, Ebrahimi-Mamaghani A, editors. Free vibration and flutter stability of interconnected double graded micro pipes system conveying fluid. IOP Conference Series: Materials Science and Engineering; 2020: IOP Publishing.##

[23] Ebrahimi-Mamaghani A, Sotudeh-Gharebagh R, Zarghami R, Mostoufi N. Dynamics of two-phase flow in vertical pipes. Journal of Fluids and Structures. 2019;87:150-73.##

[24] Jafari MS, Jafari AA. Free vibrations of rotating FGM beam with piezoelectric layer. Iranian Acoustic and Vibration Association, Shahid Beheshti University, 2016 (In Persian).##