DOI QR코드

DOI QR Code

Experimental investigation of the large amplitude vibrations of a thin-walled column under self-weight

  • Goncalves, Paulo B. (Department of Civil Engineering, Catholic University) ;
  • Jurjo, Daniel Leonardo B.R. (Department of Civil Engineering, Federal University of Rio de Janeiro, COPPE/UFRJ) ;
  • Magluta, Carlos (Department of Civil Engineering, Federal University of Rio de Janeiro, COPPE/UFRJ) ;
  • Roitman, Ney (Department of Civil Engineering, Federal University of Rio de Janeiro, COPPE/UFRJ)
  • 투고 : 2012.03.27
  • 심사 : 2013.05.31
  • 발행 : 2013.06.25

초록

This work presents an experimental methodology specially developed for the nonlinear large-amplitude free vibration analysis of a clamped-free thin-walled metal column under self-weight. The main contribution of this paper is related to the developed experimental methodology which is based on a remote sensing technique using a computer vision system that integrates, on-line, the digital image acquisition and its treatment through special image processing routines. The main importance of this methodology is that it performs large deflections measurements without making contact with the structure and thus, not introducing undesirable changes in its behavior, for instance, appreciable changes in mass and stiffness properties. This structure presents, in most cases, highly non-linear responses, which cannot be reproduced by conventional finite-element softwares due, mainly, to the simultaneous influence of geometric and inertial non-linearities. To capture the non-linearities associated with large amplitude vibration and be able to describe the buckling process, the structure is discretized as a sequence of jointed coupled elastic pendulums. The obtained numerical results are favorably compared with the experimental ones, in the pre- and post-buckling regimes.

키워드

참고문헌

  1. Abdel-Aziz, Y.I. and Karara, H.M. (1971), "Direct linear transformation from comparator coordinates into object space coordinates in close-range photogrammetry", Proceedings of the Symposium on Close-Range Photogrammetry, Falls Church, VA: American Society of Photogrammetry, 1-18.
  2. Braun, M. (2003), "On some properties of the multiple pendulum", Archive of Applied Mechanics, 72, 899-910.
  3. Chen, L., Armstrong, C.W. and Raftopoulos, D.D. (1994), "An investigation on the accuracy of threedimensional space reconstruction using the direct linear transformation technique0," J. Biomechanics, 27, 493-500. https://doi.org/10.1016/0021-9290(94)90024-8
  4. Chirikov, V.A. (2005), "Causes for the softening phenomenon at vibrations of beams undergoing large rotation", ENOC-2005, Eindhoven, Netherlands, 2541-2547.
  5. Duan, W.H. and Wang, C.M. (2008), " Exact solution for buckling of columns including self-weight", Journal of Engineering Mechanics, ASCE, 134(1), 116-120. https://doi.org/10.1061/(ASCE)0733-9399(2008)134:1(116)
  6. Faugeras, O.D. and Toscani, G. (1986), "The calibration problem for stereo", Proceedings of the IEEE Computer vision and Pattern Recognition.
  7. Galan, J., Fraser, W.B., Acheson, D.J. and Champneys, A.R. (2005), "The parametrically excited upsidedown rod: an elastic jointed pendulum model", Journal of Sound and Vibration, 280, 359-377. https://doi.org/10.1016/j.jsv.2003.01.003
  8. Goncalves, P.B., Jurjo, D.L.B.R., Magluta, C., Roitman, N. and Pamplona, D. (2006), "Large deflection behavior and stability of slender bars under self-weight", Structural Engineering and Mechanics, 24, 709-725. https://doi.org/10.12989/sem.2006.24.6.709
  9. Haralick, R.M. and Shapiro, L.G. (1993), Computer and Robot Vision 2, Addison-Wesley Publishing Company, NY.
  10. Hack, E. and Leroy, D. (2005), "Camera-based monitoring of the rigid-body displacement of a mandrel in superconducting cable production", Optics and Lasers in Engineering, 43, 455-474. https://doi.org/10.1016/j.optlaseng.2004.05.004
  11. Hatze, H. (1988), "High-precision three-dimensional photogrammetric calibration and object space reconstruction using a modified DLT-approach", J. Biomechanics, 21, 533-538. https://doi.org/10.1016/0021-9290(88)90216-3
  12. Ito, M. (1991). "Robot vision modeling, camera modeling and camera calibration", Adv. Robotics, 5, 321-335.
  13. Jones, A., Shaw, J. and Wineman, A. (2006), "An experimental facility to measure the chemorheological response of inflated elastomeric membranes at high temperature", Experimental Mechanics, 46, 579-587. https://doi.org/10.1007/s11340-006-9111-8
  14. Jurjo, D.L.B.R. (2007), "Development of a computer-based vision system for measuring displacements in structures", PhD. Thesis, Civil Engineering Department, COPPE/UFRJ, Brazil. (in Portuguese)
  15. Jurjo, D.L.B.R., Magluta, C., Roitman, N. and Goncalves, P.B. (2010), "Experimental methodology for the dynamic analysis of slender structures based on digital image processing tecniques", Mechanical Systems & Signal Processing, 24, 1369-1382. https://doi.org/10.1016/j.ymssp.2009.12.006
  16. Lee, J.J. and Shinozuka, M. (2006a), "Real- time displacement measurement of a flexible bridge using digital image processing techniques", Experimental Mechanics, 46, 105-144. https://doi.org/10.1007/s11340-006-6124-2
  17. Lee, J.J. and Shinozuka, M. (2006b), "A vision-based system for remote sensing of bridge displacement", NDT & E International, 39, 425-431. https://doi.org/10.1016/j.ndteint.2005.12.003
  18. Nandakumar, K. and Chatterjee, A. (2005), "Resonance, parameter estimation, and modal interections in a strongly nonlinear benchtop oscillator", Nonlinear Dynamics, 40, 149-167. https://doi.org/10.1007/s11071-005-4228-3
  19. Nayfeh, A.H. and Pai, P.F. (2004), Linear and Nonlinear Structural Mechanics, Wiley, New York.
  20. Neukirch, S., Frelat, J., Goriely, A. and Maurini, C. (2012), "Vibrations of post-buckled rods: The singular inextensible limit", Journal of Sound and Vibration, 331, 704-720. https://doi.org/10.1016/j.jsv.2011.09.021
  21. Sadiku, S. (2008), "Buckling load optimization for heavy elastic columns: a perturbation approach", Structural and Multidisciplinary Optimization, 35(5), 447-452. https://doi.org/10.1007/s00158-007-0144-0
  22. Santillan, S.T., Plaut, R.H., Witelski, T.P. and Virgin, L.N. (2008), "Large amplitude oscillations of beams and columns including self-weight", International Journal of Nonlinear Mechanics, 43, 761-771. https://doi.org/10.1016/j.ijnonlinmec.2008.04.007
  23. Sathyamoorthy, M. (1998), Nonlinear Analysis of Structures, CRC Press, New York.
  24. Tolou, N. and Herder, J.L. (2009), "A seminalytical approach to large deflections in compliant beams under point load", Mathematical Problems in Engineering, 910896.
  25. Tsai, R.Y. (1986), "An efficient and accurate camera calibration technique for 3D machine vision", Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, Miami Beach, FL.
  26. Vaz, M.A. and Mascaro, G.H.W. (2005), "Post-buckling analysis of slender vertical rods subjected to terminal forces and self-weight", Int. J. Non-linear Mechanics, 40, 1049-1056. https://doi.org/10.1016/j.ijnonlinmec.2004.12.002
  27. Virgin, L.N. and Plaut, R.H. (2004), "Postbuckling and vibration of linearly elastic and softening columns under self-weight", Int. J. Solids Struct., 41, 4989-5001. https://doi.org/10.1016/j.ijsolstr.2004.03.023
  28. Wang, C.Y. (2010), "Vibration of a segmented heavy column", J. Vib. Acoust., 132(2), 4.
  29. Wei, D.J., Yan, S.X., Zhang, Z.P. and Li, X.F. (2010), "Critical load for buckling of non-prismatic columns under self-weight and tip force", Mechanics Research Communications, 37 (6), 554-558. https://doi.org/10.1016/j.mechrescom.2010.07.024
  30. Weng, J., Cohen, P. and Herniou, M. (1992), "Camera calibration with distortion models and accuracy evaluation", IEEE Trans. Pattern Anal. Mach. Intell, 14, 965-980. https://doi.org/10.1109/34.159901
  31. Yoneyama, S., Morimoto, Y., Fujigaki, M. and Ikeda, Y. (2005), "Scanning Moire and spatial-offset phasestepping for surface inspection of strucutures", Optics and Lasers in Engineering, 43, 659-670. https://doi.org/10.1016/j.optlaseng.2004.09.015

피인용 문헌

  1. Analysis of the structural behavior of a membrane using digital image processing vol.54-55, 2015, https://doi.org/10.1016/j.ymssp.2014.08.010
  2. Dynamic testing of a laboratory model via vision-based sensing vol.60, 2014, https://doi.org/10.1016/j.engstruct.2013.12.002
  3. Nonlinear Resonance Analysis of Slender Portal Frames under Base Excitation vol.2017, 2017, https://doi.org/10.1155/2017/5281237
  4. Improved block-wise MET for estimating vibration fields from the sensor vol.64, pp.3, 2013, https://doi.org/10.12989/sem.2017.64.3.279
  5. Dynamic behaviours of reinforced concrete columns under cyclic loading with variable rates vol.23, pp.4, 2013, https://doi.org/10.1177/1369433219881753