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Finite Element Dynamic Study of Inclined Beam Subjected to Moving Point Load

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Innovative Product Design and Intelligent Manufacturing Systems

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

This paper showcases the response analysis of the inclined beam under consideration of concentrated load moving at a constant velocity. Finite element method is utilized for the formulation of the problem. A convergence study is made for natural frequencies of pinned-pinned (P-P) beam. The case is extended for the horizontal and inclined beam. Newmark integration method is implemented for dynamic vibration of the structure. The numerical results are obtained using MATLAB code. Influence of damping on dynamic magnification factor (DMF) due to moving load is investigated. Effect of velocity parameter on load is studied as well. Results are extended in graphical form with respect to vertical dynamic displacement of the beam for a different angle of inclination.

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References

  1. Xu X, Xu W, Genin J (1997) A non-linear moving mass problem. J Sound Vib 204(3):495–504

    Article  Google Scholar 

  2. Michaltsos G, Sophianopoulos D, Kounadis AN (1996) The effect of a moving mass and other parameters on the dynamic response of a simply supported beam. J Sound Vib 191(3):357–362

    Article  Google Scholar 

  3. Frýba L (1973) Vibration of solids and structures under moving loads. Springer, Netherlands

    MATH  Google Scholar 

  4. Michaltsos GT (2002) Dynamic behaviour of a single-span beam subjected to loads moving with variable speeds. J Sound Vib 258(2):359–372

    Article  Google Scholar 

  5. Foda MA, Abduljabbar Z (1998) A dynamic green function formulation for the response of a beam structure to a moving mass. J Sound Vib 210(3):295–306

    Article  Google Scholar 

  6. Ju S-H, Lin H-T, Hsueh C-C, Wang S-L (2006) A simple finite element model for vibration analyses induced by moving vehicles. Int J Numer Meth Eng 68(12):1232–1256

    Article  Google Scholar 

  7. Kidarsa A, Scott MH, Higgins CC (2008) Analysis of moving loads using force-based finite elements. Finite Elem Anal Des 44(4):214–224

    Article  Google Scholar 

  8. Lin Y-H, Trethewey MW (1990) Finite element analysis of elastic beams subjected to moving dynamic loads. J Sound Vib 136(2):323–342

    Article  Google Scholar 

  9. Siddiqui SAQ, Golnaraghi MF, Heppler GR (2000) Dynamics of a flexible beam carrying a moving mass using perturbation, numerical and time-frequency analysis techniques. J Sound Vib 229(5):1023–1055

    Article  Google Scholar 

  10. Lou P, Dai G-L, Zeng Q-Y (2006) Finite-element analysis for a Timoshenko beam subjected to a moving mass. Proc Inst Mech Eng Part C J Mech Eng Sci 220(5):669–678

    Article  Google Scholar 

  11. Wang R-T, Chou T-H (1998) Non-linear vibration of Timoshenko beam due to a moving force and the weight of beam. J Sound Vib 218(1):117–131

    Article  Google Scholar 

  12. Lee HP (1998) Dynamic response of a Timoshenko beam on a winkler foundation subjected to a moving mass. Appl Acoust 55(3):203–215

    Article  Google Scholar 

  13. Esmailzadeh E, Ghorashi‏ M (1997) Vibration analysis of a Timoshenko beam subjected to a travelling mass. J Sound Vib 199:615–628

    Google Scholar 

  14. Esmailzadeh E, Ghorashi M (1995) Vibration analysis of beams traversed by uniform partially distributed moving masses. J Sound Vib 184(1):9–17

    Article  Google Scholar 

  15. Ichikawa M, Miyakawa Y, Matsuda A (2000) Vibration analysis of the continuous beam subjected to a moving mass. J Sound Vib 230(3):493–506

    Article  Google Scholar 

  16. Wang R-T (1997) Vibration of multi-span Timoshenko beams to a moving force. J Sound Vib 207(5):731–742

    Article  Google Scholar 

  17. Thambiratnam D, Zhuge Y (1996) Dynamic analysis of beams on an elastic foundation subjected to moving loads. J Sound Vib 198(2):149–169

    Article  Google Scholar 

  18. Hien TD, Hung ND, Kien NT, Noh HC (2019) The variability of dynamic responses of beams resting on elastic foundation subjected to vehicle with random system parameters. Appl Math Model 67:676–687

    Article  MathSciNet  Google Scholar 

  19. Beskou ND, Muho EV (2018) Dynamic response of a finite beam resting on a Winkler foundation to a load moving on its surface with variable speed. Soil Dyn Earthq Eng 109:222–226

    Article  Google Scholar 

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Correspondence to Suraj Parida .

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Parida, S., Meher, S., Behera, R.K. (2020). Finite Element Dynamic Study of Inclined Beam Subjected to Moving Point Load. In: Deepak, B., Parhi, D., Jena, P. (eds) Innovative Product Design and Intelligent Manufacturing Systems. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-2696-1_73

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  • DOI: https://doi.org/10.1007/978-981-15-2696-1_73

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-2695-4

  • Online ISBN: 978-981-15-2696-1

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