The Response of a Prestressed Beam-type Structure subjected to Partially Distributed Load Moving at Non-Uniform Velocities



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Submitted Jan 20, 2018
Published Mar 19, 2018
10.24018/ejeng.2018.3.3.598

Abstract viewed = 422 times

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The transverse vibration of a prismatic Rayleigh beam resting on bi-parametric Vlasov foundation and continuously acted upon by partially distributed masses moving at varying velocities is investigated. For the solution of the fourth order partial differential equation with singular and variable coefficients, use is made of the technique based on the Generalized Finite Fourier Integral Transform, Struble’s asymptotic technique and the use of Fresnel sine and cosine identities. Numerical results in plotted curves are presented. The results show that the response amplitude of the beam traversed by a distributed load moving with variable velocity decrease with an increase in the value of foundation modulus, Other structural parameters such as axial force, rotatory inertia and shear modulus are also found to reduce the displacement response of the beam as their values are increased in the dynamical system.  The results also show that the critical speed for the system traversed by a moving distributed force is found to be greater than that traversed by moving mass. This confirms that the inertia effect of the moving distributed load must be considered for accurate and safe assessment of the response to moving distributed load of elastic structural members.

 

 

 

Keywords: Continuously Acted Distributed Load Dynamical System Vlasov Foundation

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References

  1. L. Fryba,. Vibration of solids and structures under moving load, Noordhoff International Publishing Groningen, The Netherlands, 1972.
     Google Scholar
  2. M.R. Shadnan, F.R. Rofooei, F, Mofid, and B. Mehri, “Periodicity in the response of non-linear plate under moving mass,” Thin-walled Structures, 40: 283-295, 2002.
     Google Scholar
  3. E. Savin, “Dynamic amplification factor and response spectrum for the evaluation of vibrations of beams under successive moving loads,” Journal of sound and vibration, 248(2): 267-288, 2001.
     Google Scholar
  4. J. A. Gbadeyan, and Y.M. Aiyesimi,. “On the dynamic analysis of elastic beam and plate resting on viscoelastic foundation to load moving at non-uniform speed,” Nigerian Journal of Mathematics and Applications, 3: 73-90, 1990.
     Google Scholar
  5. S.S. Kokhmanyuk and A. P. Filippov, “Dynamic effects on a beam of a load moving at variable speed,” Stroitel’ n mekhanka I raschet so-oruzhenii, 9(2): 36-39, 1967.
     Google Scholar
  6. S.T. Oni, “Flexural motions of uniform beam under the actions of concentrated mass travelling with variable velocity,” Journal of the Nigerian Association of Mathematical Physics, 8: 215-224, 2004.
     Google Scholar
  7. M. H. Huang. and D. P. Thambiratnam, “Deflection response of plate on Winkler foundation to moving accelerated loads,” Engineering structures, 23: 1134-1141, 2001.
     Google Scholar
  8. S. T. Oni and B. Omolofe, “Dynamic analysis of a prestressed elastic beam with general boundary conditions under moving loads at varying velocities,” Journal of Engineering and Engineering Technology, FUTA, vol. 4(1): 55-72, 2005.
     Google Scholar
  9. S. T. Oni and B. Omolofe, “Flexural motions under accelerated loads of structurally prestressed beam with general boundary conditions resting on elastic foundation,” Latin American Journal of Solids and Structures, 7(3): 285-309, 2010.
     Google Scholar
  10. Alaa Tawfiq Ahmed (2011).” Simulation of transient dynamic loads on beams with variable velocities,” European Journal of Scientific Research, 62(4): 481-490, 2011.
     Google Scholar
  11. Ismail Esen, “Dynamic response of a beam due to an accelerating moving mass using finite element approximation,” Mathematical and Computation Applications, 16(1): 171-182, 2011.
     Google Scholar
  12. Mingliang Li., Tao Qian., Yang Zhong and Hua Zheng, “Dynamic response of the rectangular plate subjected to moving loads with variable velocity,” Journal of Engineering Mechanics, 140: DOI:10.106/0000687 (ASME) EM 1943-7889, 2014.
     Google Scholar
  13. J. A. Gbadeyan. and S. T. Oni, “Dynamic behaviour of beams and rectangular plates under moving loads,” Journal of Sound and Vibration, 182(5): 677-695, 1995.
     Google Scholar
  14. S.T. Oni and B. Omolofe, “Dynamic response of prestressed Rayleigh beam prestressed Rayleigh beam resting on elastic foundation and subjected to masses travelling at varying velocity,” Journal of Vibration and Acoustics, 133: 041005-1-15, 2011.
     Google Scholar
  15. L. Sun, “Dynamic displacement response of beam-type structures to moving loads,” International Journal of Solids and Structures, 38(38-39): 8869-8878, 2001.
     Google Scholar
  16. Y. M. Wang, “The dynamic analysis of a finite inextensible beam with an attached accelerating mass,” International Journal of Solids and Structures, (9-19): 831-854, 1998.
     Google Scholar
  17. S. Sadiku. and H. H. E. Leipholz, “On the dynamics of elastic systems with moving concentrated masses,” Ingenieur Achieves, 57: 223-242, 1989.
     Google Scholar
  18. E. A. Andi, S. T. Oni and O. K. Ogunbamike, “Dynamic analysis of a finite simply supported uniform Rayleigh beam under travelling distributed loads,” Journal of the Nigerian Association of Mathematical Physics, 26: 125-136, 2014.
     Google Scholar
  19. S. T. Oni. and T. O. Awodola, “Dynamic behaviour under moving concentrated masses of elastically supported finite Bernoulli-Euler beam on Winkler elastic foundation,” Latin American Journal of Solids and Structures. 7(3): 285-309, 2010.
     Google Scholar