Sharp Bounds for Natural Frequencies of Beams with Uncertain Spring Coefficients

被引：0

作者：

Elishakoff, Isaac ^{[1
]}

Ducreux, Baptiste ^{[2
]}

Yvain, Nicolas ^{[3
]}

机构：

[1] Florida Atlantic Univ, Dept Ocean & Mech Engn, Boca Raton, FL 33431 USA

[2] French Inst Adv Mech, F-63170 Clermont Ferrand, France

[3] SIGMA Clermont, 27 Rue Roche Genes, F-63170 Aubiere, France

来源：

AIAA JOURNAL | 2023年 / 61卷 / 10期

关键词：

Mechanical and Structural Vibrations; Simply Supported Beams; Mechanical Properties; Rayleigh Ritz Method; Structural Dynamics and Characterization; Frequency Response Functions; Structural Health Monitoring; Monte Carlo Simulation; Aircraft Wing Design; Computer Programming and Language; HEALTH MONITORING METHODOLOGY; EXPERIMENTAL VALIDATION; ROTATIONAL SPRINGS; TIMOSHENKO BEAM; AIRCRAFT WINGS; VIBRATIONS; OPTIMIZATION; DIAGNOSIS;

D O I：

10.2514/1.J062871

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

In this paper, we deal with both the static and dynamic behavior of uniform beams with uncertain boundary conditions. Uncertainty in spring constants is modeled as intervals, with specified lower and upper bounds. It is demonstrated that the classical interval analysis may lead to overestimation in the natural frequencies. A method is suggested to overcome the overestimation and obtain sharp bounds.

引用

页码：4623 / 4631

页数：9

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