Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Experiments on influence of foundation mass on dynamic characteristic of structures

  • Pham, Trung D. (Department of Civil Engineering, Mientrung University of Civil Engineering) ;
  • Hoang, Hoa P. (Department of Construction of Bridge and Road, University of Science and Technology, The University of Danang) ;
  • Nguyen, Phuoc T. (Department of Civil Engineering, Ho Chi Minh City Open University)
  • Received : 2017.03.22
  • Accepted : 2017.08.01
  • Published : 2018.03.10
⟨ Previous Next ⟩

Abstract

Recently, a new foundation model called "Dynamic foundation model" was proposed for the dynamic analysis of structures on the foundation. This model includes a linear elastic spring, shear layer, viscous damping and the special effects of mass density parameter of foundation during vibration. However, the relationship of foundation property parameters with the experimental parameter of the influence of foundation mass also has not been established in previous research. Hence, the purpose of the paper presents a simple experimental model in order to establish relationships between foundation properties such as stiffness, depth of foundation and experimental parameter of the influence of foundation mass. The simple experimental model is described by a steel plate connected with solid rubber layer as a single degree of freedom system including an elastic spring connected with lumped mass. Based on natural circular frequencies of the experimental models determined from FFT analysis plots of the time history of acceleration data, the experimental parameter of the influence of foundation mass is obtained and the above relationships are also discussed.

Keywords

Acknowledgement

Supported by : Vietnam National Foundation for Science and Technology Development (NAFOSTED)

References

  1. Arani, G.A., Shiravand, A., Rahi, M. and Kolahchi, R. (2012), "Nonlocal vibration of coupled DLGS systems embedded on Visco-Pasternak foundation", Phys. B: Condens. Matt., 407(21), 4123-4131. https://doi.org/10.1016/j.physb.2012.06.035
  2. Calim, F.F. (2009), "Dynamic analysis of beams on viscoelastic foundation", Eur. J. Mech. A/Solid., 28(3), 469-476.
  3. Cooley, J.W., Lewis, P.A.W. and Welch, P.D. (1969), "The fast fourier transform and its applications", IEEE Tran. Edu., 12(1), 27-34. https://doi.org/10.1109/TE.1969.4320436
  4. Coskun, S.B., O zturk, B. and Mutman, U. (2014), "Adomian decomposition method for vibration of nonuniform euler beams on elastic foundation", Proceedings of the 9th International Conference on Structural Dynamics, EURODYN.
  5. Filonenko, M.M. (1940), "Some approximate theories of elastic foundation", Uchenyie Zapiski Moskovskogo Gosudarstvennogo Universiteta Mekhanica, 46, 3-18. (in Russian)
  6. Froio, D., Moioli, R. and Rizzi, E. (2016), "Numerical dynamic analysis of beams on nonlinear elastic foundations under harmonic moving load", VII European Congress on Computational Methods in Applied Sciences and Engineering, Crete Island, Greece.
  7. Hetenyi, M. (1946), Beams on Elastic Foundation: Theory with Applications in the Fields of Civil and Mechanical Engineering, University of Michigan Press, Ann Arbor.
  8. Jang, T.S. (2013), "A new semi-analytical approach to large deflections of Bernoulli-Euler-V. Karman beams on a linear elastic foundation: Nonlinear analysis of infinite beams", Int. J. Mech. Sci., 66, 22-32. https://doi.org/10.1016/j.ijmecsci.2012.10.005
  9. Jang, T.S. (2016), "A new solution procedure for a nonlinear infinite beam equation of motion", Commun. Nonlin. Sci. Numer. Simul., 39, 321-331. https://doi.org/10.1016/j.cnsns.2016.02.039
  10. Jorge, P.C., Simoes, F.M.F. and Costa, A.P. (2015), "Dynamics of beams on non-uniform nonlinear foundations subjected to moving loads", Comput. Struct., 148, 26-34. https://doi.org/10.1016/j.compstruc.2014.11.002
  11. Kargarnovin, M.H., Younesian, D., Thompson, D.J., Jones, C.J.C. (2005), "Response of beams on nonlinear viscoelastic foundations to harmonic moving loads", Comput. Struct., 83(23-24), 1865-1877. https://doi.org/10.1016/j.compstruc.2005.03.003
  12. Kerr, A.D. (1964), "Elastic and viscoelastic foundation models", J. Appl. Mech., 31, 491-498. https://doi.org/10.1115/1.3629667
  13. Nguyen, T.P. and Pham, D.T. (2016a), "The influence of mass of two-parameter elastic foundation on dynamic responses of beam subjected to a moving mass", KSCE J. Civil Eng., 20(7), 2842-2848. https://doi.org/10.1007/s12205-016-0167-4
  14. Nguyen, T.P., Pham, D.T. and Hoang, P.H. (2016b), "A new foundation model for dynamic analysis of beams on nonlinear foundation subjected to a moving mass", Procedia Eng., 142, 165-172.
  15. Nguyen, T.P., Pham, D.T. and Hoang, P.H. (2016c), "A dynamic foundation model for the analysis of plates on foundation to a moving oscillator", Struct. Eng. Mech., 59(6), 1019-1035. https://doi.org/10.12989/sem.2016.59.6.1019
  16. Park, J. and Jang, T.S. (2014), "A numerical experiments of an infinite beam on a nonlinear elastic foundation using Jang's iterative method", Int. Conf. Recent treads Eng. & Tech.
  17. Pasternak, P.L. (1954), "On a new method of analysis of an elastic foundation by means of two constants", Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvui Arkhitekture, Moscow. (in Russian)
  18. Pham, D.T., Hoang, P.H. and Nguyen, T.P. (2015), "Dynamic response of beam on a new foundation model subjected to a moving oscillator by finite element method", Proc. of the 16th Asia Pacific Vibration Conference APVC2015, Bachkhoa Publishing House, Hanoi, Vietnam.
  19. Reissner, E. (1958), "A note on deflections of plates on a viscoelastic foundation", J. Appl. Mech., 25, 144-155.
  20. Teodoru, I.B. (2009), "Beams on elastic foundation the simplified continuum approach", Buletinul Institutului Politehnic din lasi. Sectia Constructii, Arhitectura, 55(4), 37-45.
  21. Vlasov, V.Z. and Leont'ev, U.N. (1966), "Beams, plates and shells on elastic foundations (Translated from Russian)", Israel Program for Scientific Translation, Jerusalem, Israel.
  22. Wang, L., Ma, J., Peng, J. and Li, L. (2013), "Large amplitude vibration and parametric instability of inextensional beams on the elastic foundation", Int. J. Mech. Sci., 67, 1-9. https://doi.org/10.1016/j.ijmecsci.2012.12.002

Cited by

  1. A Nonlinear Dynamic Foundation Model for Dynamic Response of Track-Train Interaction vol.2020, pp.None, 2018, https://doi.org/10.1155/2020/5347082
  2. Effects of foundation mass on dynamic responses of beams subjected to moving oscillators vol.22, pp.2, 2020, https://doi.org/10.21595/jve.2019.20729