Journal of Mechanical Science and Technology

  • 제17권9호
  • /
  • Pages.1249-1260
  • /
  • 2003
  • /
  • 1738-494X(pISSN)
  • /
  • 1976-3824(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
권호 표지

Chaotic Behavior on Rocking Vibration of Rigid Body Block Structure under Two-dimensional Sinusoidal Excitation (In the Case of No Sliding)

  • Jeong, Man-Yong (Department of Electronics ＆ Control Engineering, Numazu College of Technology) ;
  • Lee, Hyun- (Factory Automation Research Center for Parts of Vehicles, Chosun University) ;
  • Kim, Ji-Hoon (Factory Automation Research Center for Parts of Vehicles, Chosun University) ;
  • Kim, Jeong-Ho (Schol of Mechanical and Automotive Engineering, Suncheon National University) ;
  • Yang, In-Young (School of Mechanical Engineering, Chosun University)
  • 발행 : 2003.09.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

This present work focuses on the influence of nonlinearities associated with impact on the rocking behavior of a rigid body block subjected to a two-dimensional excitation in the horizontal and vertical directions. The nonlinearities in rocking system are found to be strongly dependent on the impact between the block and the base that abruptly reduces the kinetic energy. In this study, the rocking systems of the two types are considered : The first is an undamped rocking system model that disregards the energy dissipation during the impact and the second is a damped rocking system, which incorporates energy dissipation during the impact. The response analysis is carried out by a numerical method using a non-dimensional rocking equation in which the variations in the excitation levels are considered. Chaos responses are observed over a wide range of parameter values, and particularly in the case of large vertical displacements, the chaotic characteristics are observed in the time histories, Poincare sections, the power spectral density and the largest Lyapunov exponents of the rocking responses. Complex behavior characteristics of rocking responses are illustrated by the Poincare sections.

키워드

참고문헌

  1. Aslam, M., Godden, W. G. and Scalise, D. T., 1980, 'Earthquake Rocking Response of Rigid Bodies,' Journal of Engineering Structure, ASCE, Vol. 106, No.2, pp.377-392
  2. Jeong, M. and Suzuki, K., 1995, 'A basic Study on the Dynamic Behaviour of Rocking Rigid Body Structure,' Asia-Pacific Vibration Conference, Vol. 1, pp. 365-370
  3. Lin, H. and Yim, S. C. S., 1996, 'Nonlinear Rocking Motions Overturning Under Random Excitations. I,' Journal of Engineering Mechanics, ASCE, Vol. 122, No.8, pp. 719-727 https://doi.org/10.1061/(ASCE)0733-9399(1996)122:8(719)
  4. Lin, H. and Yim, S. C. S., 1996, 'Nonlinear Rocking Motions Overturning Under Random Excitations. II,' Journal of Engineering Mechanics, ASCE, Vol. 122, No.8, pp. 728-735 https://doi.org/10.1061/(ASCE)0733-9399(1996)122:8(728)
  5. Solomon, C. S. Yim and H. 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)
  6. Spanos, P. D. and Koh, A. S., 1984, 'Rocking of Rigid Blocks due to Harmonic Shaking,' Journal of Engineering Mechanics Div., ASCE, Vol. 110, No. 11, pp. 1627-1642 https://doi.org/10.1061/(ASCE)0733-9399(1984)110:11(1627)
  7. Tso, W. K. and Wong, C. M., 1989, 'Steady State Rocking Response of Rigid Blocks, Part I : Analysis,' Earthquake Engineering & Structure Dynamics, Vol. 18, No. 106, pp. 89-106 https://doi.org/10.1002/eqe.4290180109
  8. Yim, C. S., Chopra, A. K. and Penzien, J., 1980, 'Rocking Response of Rigid Blocks to Earthquakes,' Earthquake Engineering & Structure Dynamics, Vol. 8, No.6, pp. 565-587 https://doi.org/10.1002/eqe.4290080606