Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Rocking Vibration of Rigid Block Structure Accompaning Sliding Motion - In the Case of Two Dimensional Harmonic Excitation with Different Frequencies -

미끄럼운동을 동반하는 강체 블록 구조물의 로킹진동 - 수평방향과 수직방향의 여진진동수가 다른 경우에 대하여 -

  • Published : 2003.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

This research deals with the nonlinearities of rocking vibration associated with impact and sliding on the rocking behavior of rigid block under two dimensional sinusoidal excitation which has different frequencies in two excitation direction. The varied excitation direction influences not only the rocking response but also the sliding motion and the rocking response shape. Chaotic responses are observed in wider excitation amplitude region, when the frequencies in each excitation direction are different. The complex behavior of chaotic response, in the phase space, is related with the trajectory of base excitation and sliding motion.

Keywords

References

  1. Spanos, P. D. and Koh, A. S., 1984, 'Rocking of Rigid Blocks Due to Harmonic Shaking,' J. Engrg. Mech. Div., ASCE, Vol. 110, No. 11, pp. 1627-1642 https://doi.org/10.1061/(ASCE)0733-9399(1984)110:11(1627)
  2. Solomon C. S. Yim and Huan Lin, 1991, 'Nonlinear Impact and Chaotic Response of Slender Rocking Objects,' Journal of Engineering Mechanics, Vol. 117, No.9, pp. 2079-2100 https://doi.org/10.1061/(ASCE)0733-9399(1991)117:9(2079)
  3. Hogan, S. J., 1989, 'On the Dynamics of Rigid-Block Motion under Harmonic Forcing,' Proc. R. Soc. Lond. A 425, pp. 441-476 https://doi.org/10.1098/rspa.1989.0114
  4. Yuji Ishiyama, 1982, 'Motions of Rigid Bodies and Criteria for Overturing by Earthquake Excitations,' Earthquake Engineering and Structural Dynamics, Vol. 10, pp. 635-650 https://doi.org/10.1002/eqe.4290100502
  5. Housner, G. W., 1963, 'The Behavior of Inverted Pendulum Structures During Earthquakes,' Bullen of the Seismological Society of America, Vol. 53, No.2, pp. 404-417
  6. Yim, C. S., Chopra, A. K. and Penzien, J., 1980, 'Rocking Response of Rigid Blocks to Earthquakes,' Earthquake Engrg. Struct. Dynamics, Vol. 8, No.6, pp. 565-587 https://doi.org/10.1002/eqe.4290080606
  7. Jeong, M. Y., Kim, J. H. and Yang, I. Y., 2002, 'Chaotic Rocking Vibration of a Rigid Block with Sliding Motion under Two-Dimensional Harmonic Excitation,' KSME International Journal, Vol. 16, No.9, pp. 1040-1053
  8. Shenton, H. W. and Jones, N. P., 1991, 'Base Excitation of Rigid Bodies: Formulation,' J. Engrg. Mech., Vol. 117, No. 10, pp. 2286-2306 https://doi.org/10.1061/(ASCE)0733-9399(1991)117:10(2286)