Tailoring the resonances of nonlinear mechanical systems

被引：7
|
作者：
Detroux, Thibaut [1 ]
Noel, Jean-Philippe [2 ]
Kerschen, Gaetan [1 ]
机构：
[1] Univ Liege, Dept Aerosp & Mech Engn, Space Struct & Syst Lab, Quartier Polytech 1,Allee Decouverte 9,B52-3, B-4000 Liege, Belgium
[2] Eindhoven Univ Technol, Control Syst Technol Grp, Dept Mech Engn, Eindhoven, Netherlands
来源：
NONLINEAR DYNAMICS | 2021年 / 103卷 / 04期
关键词：
Modal design; Nonlinear resonance; Nonlinear normal mode; Nonlinearity synthesis; Restoring force; CONTINUATION;
D O I：
10.1007/s11071-020-06002-w
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The objective of this paper is the realization of a desired frequency-amplitude dependence of a specific vibration mode of a nonlinear system. To this end, we introduce an additional nonlinearity with an a priori arbitrary mathematical form in the considered system and synthesize its restoring force through optimization. To greatly facilitate the optimization process, the restoring force is optimized piece by piece from low to large motion amplitudes. The suppression of a modal interaction and the enforcement of isochronicity are considered to demonstrate the proposed procedure.
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页码：3611 / 3624
页数：14
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