Nonlinear oscillations of a nonresonant cable under in-plane excitation with a longitudinal control

被引:42
作者
Gattulli, V [1 ]
Pasca, M [1 ]
Vestroni, F [1 ]
机构
[1] UNIV ROMA LA SAPIENZA,DEPT INGN STRUTTURALE & GEOTECN,I-00184 ROME,ITALY
关键词
cables; active control; nonlinear oscillations; bifurcation;
D O I
10.1023/A:1008255409438
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The nonlinear oscillations of a controlled suspended elastic cable under in-plane excitation are considered. Active control realized by longitudinal displacement of one support is introduced in order to reduce the transverse in-plane and out-of-plane vibrations. Linear and quadratic enhanced velocity feedback control laws are chosen and their effects on the cable motion are investigated using a two degree-of-freedom model. Perturbation analysis is performed to determine the in-plane steady-state solutions and their stability under an out-of-plane disturbance. The analysis is extended to the bifurcated two-mode steady-state oscillations in the region of parametric excitation. The dependence of the control effectiveness on the system parameters is investigated in the case of the first symmetric mode and the range of oscillation amplitudes in which the proposed control ensures a dissipation of energy is determined. Although control based only on in-plane response quantities is effective in reducing oscillations with a prevailing in-plane component, addition of out-of-plane measures has to be considered when the motion is characterized by two comparable components.
引用
收藏
页码:139 / 156
页数:18
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