Dynamic Stability of Stepped Columns under the Axial Resonant Force

被引：0

作者：

Lu, Nianli ^{[1
]}

Liu, Shiming ^{[1
]}

机构：

[1] Harbin Inst Technol, Sch Mechatron Engn, Harbin 150001, Peoples R China

来源：

ADVANCED DESIGN TECHNOLOGY, PTS 1-3 | 2011年 / 308-310卷

关键词：

stepped columns; axial resonant force; parametric resonance; dynamic stability; Mathieu equation; BEAM;

D O I：

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

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：1389 / 1394

页数：6

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