Paper Title:
Dynamic Stability of Stepped Columns under the Axial Resonant Force
  Abstract

In this paper, the dynamic stability of stepped columns under the axial resonant force is investigated, and the dynamic stability, which is also known as parametric resonance, of stepped columns with two ends simply supported and clamped ones are studied, respectively. The dynamic stability of multi-stepped columns is obtained by using Mathieu Equation deduced by Hamiliton Principle. The formula of the dynamic stability region is given and the effect of stiffness of stepped columns on the dynamic stability is analyzed. Results show that the area of dynamic instability decreases with the increase of the ratio of each section’s stiffness, and that the dynamic stability would be better when each section is of similar size.

  Info
Periodical
Advanced Materials Research (Volumes 308-310)
Chapter
Structural Strength and Robustness
Edited by
Jian Gao
Pages
1389-1394
DOI
10.4028/www.scientific.net/AMR.308-310.1389
Citation
N. L. Lu, S. M. Liu, "Dynamic Stability of Stepped Columns under the Axial Resonant Force", Advanced Materials Research, Vols. 308-310, pp. 1389-1394, 2011
Online since
August 2011
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Price
$32.00
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