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Sliding and rocking response of rigid blocks due to horizontal excitations

  • Yang, Yeong-Bin (Department of Civil Engineering, National Taiwan University) ;
  • Hung, Hsiao-Hui (Department of Civil Engineering, National Taiwan University) ;
  • He, Meng-Ju (Department of Civil Engineering, National Taiwan University)
  • 발행 : 2000.01.25

초록

To study the dynamic response of a rigid block standing unrestrained on a rigid foundation which shakes horizontally, four modes of motion can be identified, i.e., rest, slide, rock, and slide and rock. The occurrence of each of these four modes and the transition between any two modes depend on the parametric values specified, the initial conditions, and the magnitude of ground acceleration. In this paper, a general two-dimensional theory is presented for dealing with the various modes of a free-standing rigid block, considering in particular the impact occurring during the rocking motion. Through selection of proper values for the system parameters, the occurrence of each of the four modes and the transition between different modes are demonstrated in the numerical examples.

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참고문헌

  1. Aslam, M., Godden, W.G. and Scalise, D.T. (1980), "Earthquake rocking response of rigid bodies", J. Struct. Div., ASCE, 106(2), 377-392.
  2. Dimentberg, M.F., Lin, Y.K. and Zhang, R. (1993), "Toppling of computer-type equipment under base isolation", J. Eng. Meek, ASCE, 119(1), 145-160. https://doi.org/10.1061/(ASCE)0733-9399(1993)119:1(145)
  3. Housner, G.W. (1963), "The behavior of inverted pendulum structures during earthquakes", Bull. Seismological Soc. Amer., 53(2), 403-417.
  4. Ishiyama, Y. (1982), "Motions of rigid bodies and criteria for overturning by earthquake excitations", Earthquake Eng. Struct. Dyn., 10, 635-650. https://doi.org/10.1002/eqe.4290100502
  5. Lin, H. and Yim, S.C.S. (1996a), "Nonlinear rocking motions, I: Chaos under noisy periodic excitations", J. Eng. Mech., ASCE, 122(8), 719-727. https://doi.org/10.1061/(ASCE)0733-9399(1996)122:8(719)
  6. Lin, H. and Yim, S.C.S. (1996b), "Nonlinear rocking motions, II: Overturning under random excitations", J. Eng. Mech., ASCE, 122(8), 728-735. https://doi.org/10.1061/(ASCE)0733-9399(1996)122:8(728)
  7. Lin, Y.K., Dimentberg, M.F., Zhang, R. and Cai, G.Q. (1994), "Sliding motion of anchored rigid block under random base excitations", Probabil. Eng. Mech., 9, 33-38. https://doi.org/10.1016/0266-8920(94)90027-2
  8. Mostaghel, N., Hejazi, M. and Tanbakuchi, J. (1983), "Response of sliding structures to harmonic support motion", Earthquake Eng. Struct. Dyn., 11, 355-366. https://doi.org/10.1002/eqe.4290110305
  9. Newmark, N.M. (1959), "A method of computation for structural dynamics", J. Eng. Mech., ASCE, 85(3), 67-94.
  10. Shenton, H.W. III and Jones, N.P. (1991a), "Base excitation of rigid bodies, II: Formulation", J. Eng. Mech., ASCE, 117(10), 2286-2306. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:10(2286)
  11. Shenton, H.W. III and Jones, N.P. (1991b), "Base excitation of rigid bodies, I: Periodic slide-rock response", J. Eng. Mech., ASCE, 117(10), 2307-2328. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:10(2307)
  12. Tso, W.K. and Wong, C.M. (1989), "Steady state rocking response of rigid blocks, Part 1: Analysis", Earthquake Eng. Struct. Dyn., 18,89-106. https://doi.org/10.1002/eqe.4290180109
  13. Westermo, B. and Udwadia, F. (1983), "Periodic response of sliding oscillator system to harmonic excitation", Earthquake Eng. Struct. Dyn., 11, 135-146. https://doi.org/10.1002/eqe.4290110111
  14. Yang, Y.B., Lee, T.Y. and Tsai, I.C. (1990), "Response of multi-degree-of-freedom structures with sliding supports", Earthquake Eng. Struct. Dyn., 19, 739-752. https://doi.org/10.1002/eqe.4290190509
  15. Yim, C.S., Chopra, A.K. and Penzien, J. (1980), "Rocking response of rigid blocks to earthquakes", Earthquake Eng. Struct. Dyn., 8, 565-587. https://doi.org/10.1002/eqe.4290080606

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