Nonlinear resonances in an axially excited beam carrying a top mass: simulations and experiments

被引：12

作者：

Fey, R. H. B. ^{[1
]}

Mallon, N. J. ^{[2
]}

Kraaij, C. S. ^{[3
]}

Nijmeijer, H. ^{[1
]}

机构：

[1] Eindhoven Univ Technol, Dept Mech Engn, NL-5600 MB Eindhoven, Netherlands

[2] TNO Built Environm & Geosci, Ctr Mech & Maritime Struct, NL-2600 AA Delft, Netherlands

[3] IHC Lagersmit BV, NL-2960 AA Kinderdijk, Netherlands

来源：

NONLINEAR DYNAMICS | 2011年 / 66卷 / 03期

关键词：

Nonlinear resonances; Dynamic buckling; Beam with top mass; Parametric excitation; Bifurcations; Nonlinear mode interaction; Experiments; VIBRATION; EXCITATION;

D O I：

10.1007/s11071-011-9959-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, nonlinear resonances in a coupled shaker-beam-top mass system are investigated both numerically and experimentally. The imperfect, vertical beam carries the top mass and is axially excited by the shaker at its base. The weight of the top mass is below the beam's static buckling load. A semi-analytical model is derived for the coupled system. In this model, Taylor-series approximations are used for the inextensibility constraint and the curvature of the beam. The steady-state behavior of the model is studied using numerical tools. In the model with a single beam mode, parametric and direct resonances are found, which affect the dynamic stability of the structure. The model with two beam modes not only shows an additional second harmonic resonance, but also reveals some extra small resonances in the low-frequency range, some of which can be identified as combination resonances. The experimental steady-state response is obtained by performing a (stepped) frequency sweep-up and sweep-down with respect to the harmonic input voltage of the amplifier-shaker combination. A good correspondence between the numerical and experimental steady-state responses is obtained.

引用

页码：285 / 302

页数：18

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