INFLUENCE OF MATERIAL DEFECTS ON THE DYNAMIC STABILITY OF THE BERNOULLI-EULER BEAM

被引：1
作者：
Sochacki, W. [1 ]
Garus, S. [1 ]
Garus, J. [1 ]
机构：
[1] Czestochowa Tech Univ, Dept Mech & Fundamentals Machinery Design, Fac Mech Engn & Comp Sci, 73 Dabrowskiego Str, PL-42201 Czestochowa, Poland
来源：
ARCHIVES OF METALLURGY AND MATERIALS | 2021年 / 66卷 / 02期
关键词：
material cracks; beam; dynamic stability; Mathieu equation; CANTILEVER BEAM; PARAMETRIC RESPONSE; CRACK;
D O I：
10.24425/amm.2021.135887
中图分类号：
TF [冶金工业];
学科分类号：
0806 ;
摘要：
The paper presents the results of tests on dynamic stability of Bernoulli-Euler beam with damages. Damages (cracks) were modeled using three rotational springs. An analysis of the influence of crack depth and their position relative to the beam ends on dynamic stability of the beam was carried out. The problem of dynamic stability was solved by applying the mode summation method. Applying an orthogonal condition of eigenfunctions, the dynamic of the system was described with the use of the Mathieu equation. The obtained equation allowed the dynamic stability of the tested system to be analyzed. Stable and unstable solutions were analyzed using the Strutt card.
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页码：519 / 522
页数：4
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