Journal Menu
By: Jimoh A, Ajoge E. O, and Olofinniyi J. O.
1 Faculty, Department of Mathematics and Statistics, Faculty of Science, Confluence University of Science and Technology, Osara, Kogi State, Nigeria
2 Professor, Centre for Energy Research and Development, Obafemi Awolowo University, Ile-Ife, Osun State, Nigeria
3 Research Scholar, Department of Mechanical Engineering, Ecole Nationale d’Ingénieurs de Saint-Etienne, France
AbstractThis study endeavors to explore the impacts of two foundational parameters on the dynamic response of a uniform elastic beam subjected to a concentrated moving load under clamped-clamped boundary conditions. The investigation employs the generalized Fourier integral transform alongside a series representation of the Dirac-Delta function, a modified version of Struble’s asymptotic method, and integral transformation techniques in tandem with convolution theory to derive solutions to the dynamic problem. The findings are then depicted graphically. Special scenarios involving moving force and moving mass problems, both influenced by concentrated moving loads, as well as the effect of axial force, are also addressed. When exposed to a concentrated moving pressure, it was shown that the beam’s reaction amplitude reduces as axial force N, shear modulus G, and foundation modulus K decrease. In contrast to foundation modulus K, greater values of shear modulus G are needed for a more noticeable impact. Additionally, it was shown that the system touched by a moving force has a lower critical speed than the system impacted by a moving mass, suggesting that resonance happens sooner in the moving mass question than in the moving force question. As a result, it will not be possible to safely approximate the motion issue as a substitute for the mass moving challenge.
Keywords: Two parameters foundation, concentrated loads, resonance, moving force, moving mass, clamped-clamped boundary conditions.
Citation:
Refrences:
REFERENCES
- Jimoh SA, Ogunbamike OK, Ajibola OO. Dynamic response of non-uniformly prestressed thick beam under distributed moving load travelling at varying velocity. Asian Res J Math. 2018;9(4):1–18.
- Omolofe B, Ogunbamike OK. Influence of some vital structural parameters on the dynamic characteristics of axially prestressed beam under moving masses. Int J Eng Res Technol. 2014;3(1):816–828.
- Mukherjee S, Gopalakrishnan S, Ranjan G. Time domain spectral element-based wave finite method for periodic structures. Acta Mech. 2021;232(6):2269–2296.
- Seref DA, Hayri MN, Bekir A, Omer C. Application of Newmark average acceleration and Ritz methods on dynamical analysis of composite beams under a moving load. J Appl Comput Mech. 2022;8(2):764–773.
- Oluwatoyin KO. Damping effects on the transverse motions of axially loaded beams carrying uniform distributed loads. Appl Model Simul. 2021;5:88–101.
- Olotu OT, Agboola OO, Gbadeyan JA. Free vibration of non-uniform Rayleigh beam on variable Winkler elastic foundation using differential transform method. Ilorin J Sci. 2021;8(1):1–20.
- Jimoh A, Ajoge E. Dynamic analysis of non-uniform Rayleigh beam resting on bi-parametric subgrades under exponentially varying moving loads. J Appl Math Bioinform. 2019;9(2):1–16.
- Saurabh K. Natural frequencies of beams with axial material gradation resting on two-parameter elastic foundation. Trends Sci. 2022;19(6):1–12
- Baran B. Transfer matrix formulation for dynamic response of Timoshenko beam resting on two-parameter foundation subjected to moving load. J Struct Eng Appl Mech. 2021;4(2):99–110.
- Jimoh SA. On modal-asymptotic analysis to prestressed thick beam on bi-parametric foundation subjected to moving loads. Achiev J Sci Res. 2021;3(2):28–46.
- Jimoh A, Ajoge E. Dynamic behavior of uniform Bernoulli-Euler beam resting on bi-parametric foundation and subjected to distributed moving load with damping effects. J Basic Appl Res Int. 2020;26(3):33–39.
- Anague LM, Nana BR, Woafo P. On the dynamics of Rayleigh beams resting on fractional order viscoelastic Pasternak foundations subjected to moving loads. Chaos Solitons Fractals. 2016;93:39–47.
- Rajib UA, Rama B, Waiz A. Dynamic response of a beam subjected to moving load and moving mass supported by Pasternak foundation. Shock Vib. 2012;19:205–220.
- Davood Y, Mohammad HK. Response of the beam on random Pasternak foundation subjected to harmonic moving loads. J Mech Sci Technol. 2009;23:3013–3023.
- Jimoh A, Ajoge E. Distributed moving load on non-uniform Bernoulli-Euler beam resting on bi-parametric foundations. Int J Appl Math Stat Sci. 2020;9(2):41–52
- Jimoh A. Dynamic response to moving concentrated loads of Bernoulli-Euler beam resting on bi-parametric subgrades [M.Tech thesis]. Akure, Nigeria: Federal University of Technology, Akure; 2014.
- Ogunyebi SN. Flexural vibration of elastic structures resting on variable bi-parametric elastic foundation and traversed by moving distributed loads [Ph.D. thesis]. Akure, Nigeria: Federal University of Technology, Akure; 2013.
- Andi EA. Flexural vibration of elastic structures with general boundary conditions and under traveling distributed load [Ph.D. thesis]. Akure, Nigeria: Federal University of Technology, Akure; 2012.
- Omolofe B. Transverse motion of elastic structures under concentrated masses moving at varying velocities [Ph.D. thesis]. Akure, Nigeria: Federal University of Technology, Akure; 2010.
- Fryb L. Vibration of solids and structures under moving loads. Groningen: Noordhoff; 1972.