Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Gross dynamic failure of toppling block structures

  • Wilson, James F. (Department of Civil and Environmental Engineering, Duke University)
  • Published : 1999.11.25
⟨ Previous Next ⟩

Abstract

The initiation of toppling is explored for a uniform stack of blocks that rotates slowly about its mid-base. As the stack passes through its vertical position ($\theta$=0), it is in free-fall rotation, and a critical inclination angle ${\theta}_c$ is reached at which the toppling stack "fails" or begins to crack or separate. For tall stacks (high aspect ratios), two modes of failure are hypothesized, for which the dynamic failure analyses are shown to correlate with experimental results. These block failure modes are similar to those observed for tall, toppling masonry structures with weak binding material between their brick or stone blocks.

Keywords

References

  1. Agusti, G. and Simopoli, A. (1992), "Modelling the dynamics of large block structures", Meccanica, 27(3), 195-211. https://doi.org/10.1007/BF00430045
  2. Como, M. (1992), "Equilibrium and collapse of masonry bodies" , Meccanica, 27(3), 185-194. https://doi.org/10.1007/BF00430044
  3. Heyman, J. (1992), "Leaning towers" , Meccanica, 27(3), 153-159. https://doi.org/10.1007/BF00430041
  4. Lipscombe, P.R. (1990), "Dynamics of rigid block structures", PhD Thesis, University of Cambridge, Cambridge, England.
  5. Olsen, B.E., Neylan, A.J. and Gorholt, W. (1976), "Seismic test on a one-fifth scale HTGR core model" , Nuclear Engineering Design, 36.
  6. PSI-Plot, (1994),Technical Plotting and Data Processing, Version 3, Polyscience International, Salt Lake City, UT.
  7. Sinopoli, A. (1987), "Dynamics and impact in a system with unilateral constraints: The relevance of dry friction", Meccanica, 22(4), 210-215. https://doi.org/10.1007/BF01573814
  8. Sinopoli, A. (1997), "Unilaterality and dry friction: A geometric formulation for two-dimensional rigid body dynamics" , Nonlinear Dynamics, 12, 343-366. https://doi.org/10.1023/A:1008289716620
  9. Wilson, J.F. (1993a), Experiments on the Dynamics of Solids, Experiment 19: "Cracking of a toppling chimney" , McGraw-Hill, College Custom Series, N.Y.
  10. Wilson, J.F. (1993b), Experimental Solid Mechanics, Chapter 2, McGraw-Hill, College Custom Series, N.Y.

Cited by

  1. Segmented impact fracture of toppling truncated cones and tall trees vol.30, pp.4, 2004, https://doi.org/10.1016/S0734-743X(03)00078-2