Advertisement

DYNAMIC BUCKLING ANALYSIS OF IMPERFECT ELASTICA

  • Üxsmit Sönmez
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 111)

Abstract

Dynamic buckling analysis of a pinned-pinned flexible beam attached to a sliding mass is investigated using nonlinear Elastica Theory. Initially straight flexible buckling beam having pinned end boundary conditions loaded at one of its end with curved imperfection is considered. Large de- flection analysis of flexible beam is studied using nonlinear elastica theory. Imperfection analysis of the flexible beam is investigated considering imperfection as an initial curvature. Dynamic response of the flexible beam is studied using numerical simulation procedures under step loading conditions; assuming this member buckles in its first mode.

Keywords

Curve Beam Horizontal Load Flexible Beam Straight Beam Large Amplitude Vibration 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C. Boyle C., L. L. Howell, S. P. M. and Evans, M. S. (2003) Dynamic Modeling of Compliant Constant-Force Compression Mechanisms, Mechanisms and Machine Theory 38, 1469–1487.CrossRefGoogle Scholar
  2. Conway, H. D. (1956) The Nonlinear Bending of Thin Circular Rods, Journal of Applied Mechanics 23, 7–10.MathSciNetGoogle Scholar
  3. Hoff, N. J. and Brooklyn, N. Y. (1951) The Dynamics of the Buckling of Elastic Columns, Journal of Applied Mechanics pp. 68–75.Google Scholar
  4. Prathap, G. and Varadan, T. K. (1978) The Large Amplitude Vibration of a Hinged Beam, Journal of Applied Mechanics 45, 959–961.Google Scholar
  5. Sathyamoorty, M. (1998) Nonlinear Analysis of Structures, CRC Press, New York.Google Scholar
  6. SMI (1991) Handbook of Spring Design, Spring Manufacturers Institute.Google Scholar
  7. Snyder, J. M. and Wilson, J. F. (1990) Dynamic of the Elastica with End and Follower Loading, Journal of Applied Mechanics 57, 203–208.Google Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • Üxsmit Sönmez
    • 1
  1. 1.Mechanical Engineeringİstanbul Technical UniversityGümüşsuyu, İstanbulTurkey

Personalised recommendations