Dynamic Stability of Stepped Columns under the Axial Resonant Force

Nian Li Lu; Shi Ming Liu

doi:10.4028/www.scientific.net/AMR.308-310.1389

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 308-310Dynamic Stability of Stepped Columns under the...

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.

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Periodical:

Advanced Materials Research (Volumes 308-310)

Pages:

1389-1394

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.308-310.1389

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Online since:

August 2011

Authors:

Nian Li Lu, Shi Ming Liu

Keywords:

Axial Resonant Force, Dynamic Stability, Mathieu Equation, Parametric Resonance, Stepped Columns

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