- C Ike, Point Collocation Method for the Analysis of Euler-Bernoulli Beam on Winkler Foundation, Int. J. Darshan Inst. Eng. Res. Emerging Technol., 7 (2018) 1 – 7.
- C. Ike, Fourier Sine Transform Method for the Free Vibration of Euler-Bernoulli Beam Resting on Winkler Foundation, Int. J. Darshan Inst. Eng. Res. Emerging Technol., 7 (2018) 1 – 6.
- C. Ike , E.U. Ikwueze, Fifth Degree Hermittian Polynomial Shape Functions for the Finite Element Analysis of Clamped-Simply Supported Euler-Bernoulli Beam, Am. J. Eng. Res., 7 (2018) 97 – 105.
- C. Ike , E.U. Ikwueze, Ritz Method for the Analysis of Statically Indeterminate Euler-Bernoulli Beams, Saudi J. Eng. Technol., 3 (2018) 133 – 140.
- O Mama, C.C. Ike, C.U. Nwoji, H.N. Onah, Analysis of Infinitely Long Euler-Bernoulli Beam on Two-Parameter Elastic Foundation: Case of Point Load, Electron. J. Geotech. Eng., 22 (2017) 4929 – 4944.
- Avcar, Free Vibration Analysis of Beams Considering Different Geometric Characteristics and Boundary Conditions, Int. J. Mech. Appl., 4 (2014) 94 – 100. https://doi.org/10.5923/j.mechanics.20140403.03
- C. Ike, C.U. Nwoji, B.O. Mama, H.N. Onah, M.E. Onyia, Laplace Transform Method for the Elastic Buckling Analysis of Moderately Thick Beams, Int. J. Eng. Res. Technol., 12 (2019) 1626 – 1638.
- C. Ike, C.U. Nwoji, H.N. Onah, B.O. Mama, M.E. Onyia, Modified Single Finite Fourier Cosine Integral Transform Method for Finding the Critical Elastic Buckling Loads of First Order Shear Deformable Beams with Fixed Ends, Rev. Compos. Mater. Av., – J. Adv. Compos. Mater., 29 (2019) 357 – 362. https://doi.org/10.18280/rcma.290603
- N. Onah, C.U. Nwoji, M.E. Onyia, B.O. Mama, C.C. Ike, Exact Solutions for the Elastic Buckling Loads of Moderately Thick Beams, Rev. Compos. Mater. Av.,–J. Adv. Compos. Mater., 30 (2020) 83 – 93. https://doi.org/10.18280/rcma.300205
- C. Ike, Ritz Variational Method for the Flexural Analysis of Third Order Shear Deformable Beams, Proceedings on Engineering Research Technology Innovation and Practice (CERTIP), 2020. http://dx.doi.org/10.13140/RG.2.2.11242.95688
- O. Mama, O.A. Oguaghamba, C.C. Ike, Finite Fourier Sine Transform Method for Finding Natural Frequencies of Flexural Vibration of Moderately Thick Beams, Proc. Sustain. Eng. Ind. Technol. Conf., 2020, A5-1- 5.
- Hurty, W.C. and Rubinstein, M.F. Dynamics of Structures, Prentice Hall, New Delhi, 1967.
- R. Chun, Free Vibration of a Beam with One End Spring-Hinged and the Other Free, J. Appl. Mech., 39 (1972) 1154 – 1155. https://doi.org/10.1115/1.3422854
- Kanber, O.M. Tufik, Vibration of Thin Beams by PIM and RPIM Methods, Int. J. Aerosp. Lightweight Struct., 3 (2013) 1 – 8. https://doi.org/10.3850/s2010428613000020
- T.S. Wang , C.C. Lin, Dynamic Analysis of Generally Supported Beams Using Fourier Series, J. Sound Vib., 196 (1996) 285 – 293.https://doi.org/10.1006/jsvi.1996.0484
- K. Kim , M.S. Kim, Vibration of Beams with Generally Restrained Boundary Conditions Using Fourier Series, J. Sound Vib., 245 (2001) 771 – 784. https://doi.org/10.1006/jsvi.2001.3615
- L. Li, Free Vibrations of Beams with General Boundary Conditions, J. Sound Vib., 237 (2000) 709-725. https://doi.org/10.1006/jsvi.2000.3150
- Achawakorn, T. Jearsiripongkul, Vibration Analysis of Exponential Cross-Section Beam using Galerkin’s Method, Int. J. Appl. Sci. Technol., 2 (2012) 7 – 13.
- Liu , C.S. Gurran, The Use of He’s Variational Iteration Method for Obtaining the Free Vibration of an Euler – Bernoulli Beam, Math. Comput. Model., 50 (2009) 1545 – 1552. https://doi.org/10.1016/j.mcm.2009.09.005
- O. Agboola, J.A. Gbadeyan, A.A. Opanuga, M.C. Agarana, S.A. Bishop and I.G. Oghonyon, Variational Iteration Method for Natural Frequencies of a Cantilever Beam with Special Attention to the Higher Modes, Proceedings of the World Congress on Engineering, WCE 2017 Lecture Notes in Engineering and Computer Science, London UK,1, 2017,148 – 151.
- E. Sakman , A. Mutlu, The Natural Frequencies and Mode Shapes of an Euler-Bernoulli Beam with a Rectangular Cross-Section which has a Surface Crack, Int. Sci. J. Sci. Tech. Union Mech.Eng., 5 (2017) 6-9
- Hong, J. Dodson, S. Laflamme, A. Downey, Transverse Vibration of Clamped-Pinned-Free Beam with Mass at Free End, Appl. Sci., 9 (2019) 1 – 16. https://doi.org/10.3390/app9152996
- O. Agboola ,J.A. Gbadeyan, Free vibration analysis of Euler-Bernoulli beam using differential transformation method, Nigerian Defence Academy J.Sci.Technol., 7 (2013) 77 – 88.
- Gritsenko, J. Xu, R. Paolo, Transverse Vibrations of Cantilever Beams: Analytical Solutions with General Steady-State Forcing, Appl. Eng. Sci., 3 (2020) 100017. https://doi.org/10.1016/j.apples.2020.100017
- B. Coskun, M.T. Atay, B. Özturk, Transverse Vibration Analysis of Euler-Bernoulli Beams Using Analytical Approximate Techniques, Adv. Vib. Anal. Res.,(2011) 1 – 22.https://doi.org/10.5772/15891
- Adair , M. Jaeger, Simulation of the Vibrations of a Non-Uniform Beam Loaded with Both a Transversely and Axially Eccentric Tip Mass, Int. J. Comput. Methods Exp. Meas., 6 (2018) 679 – 690. https://doi.org/10.2495/CMEM-V6-N4-679-690
- Torabi, D. Sharifi, M. Ghassabi, A. Mohebbi, Nonlinear Free Transverse Vibration Analysis of Beams Using Variational Iteration Method, AUT J. Mech. Eng., 2 (2018) 233 – 242.https://doi.org/10.22060/mej.2017.12332.5315
- Chalah-Rezgui, F. Chalah, K. Falek, A. Bali, A. Nechnech, Transverse Vibration Analysis of Uniform Beams under Various Ends Restraints, APCBEE Procedia, 9 (2014) 328 – 333. https://doi.org/10.1016/j.apcbee.2014.01.058
- H. Flaieh, A.A. Dwech, M.R. Mosheer, Modal Analysis of Fixed-Free Beam Considering Different Geometric Parameters and Materials, IOP Conf. Ser.: Mater. Sci. Eng., 1094,2021,012118. https://doi.org/10.1088/1757-899X/1094/1/012118
- H. Al-Raheimy, Free Vibration of Simply Supported Beam Subjected to Axial Force, J. Babylon Univ. Eng. Sci., 20 (2012) 301 – 315.
- Rama, Application of Elzaki Transform to Vibrations in Mechanical System, Adv. Math.: Sci. J., 10 (2021) 1987 – 1996.https://doi.org/10.37418/amsj.10.4.13
- R. Ramachandruni, Y. Namala, Analytical Solutions of Some Mechanics Problems by Elzaki Transform, Indian J. Sci. Technol., 13 (2020) 4606 – 4618. https://doi.org/10.17485/IJST/v13i47.1971
- M. Elzaki, S.M. Elzaki, E. Elnour , Application of New Transform “Elzaki Transform” to Mechanics, Electrical Circuits and Beams Problems, Global J. Math. Sci., 4 (2012) 25 – 34.
- W. Lim and Z. Chen, A New Static Analysis Approach for Free Vibration of Beams, Int. J. Appl. Mech.,10 (2018) 1850004. https://doi.org/10.1142/s1758825118500047
- C. Ike, Sumudu Transform Method for Finding the Transverse Natural Harmonic Vibration Frequencies of Euler-Bernoulli Beams, ARPN J. Eng. Appl. Sci., 16 (2021) 903 – 911.
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