Robust optimization of nonlinear energy sinks used for mitigation of friction-induced limit cycle oscillations

被引:4
作者
Snoun, Cherif [1 ]
Bergeot, Baptiste [1 ]
Berger, Sebastien [1 ]
机构
[1] Univ Orleans, Univ Tours, INSA CVL, LaMe EA 7494, 3 Rue Chocolaterie, F-41034 Blois, Loir & Cher, France
基金
英国科研创新办公室;
关键词
Friction-induced vibration; Nonlinear Energy Sink; Uncertainty; Robust optimization; Polynomial Chaos; GENERALIZED POLYNOMIAL CHAOS; STABILITY ANALYSIS; SYSTEMS; DESIGN; NOISE;
D O I
10.1016/j.euromechsol.2022.104529
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This paper aims at proposing robust methods to optimize nonlinear energy sinks (NES) used for the mitigation of friction-induced vibrations due to mode coupling instabilities. The study is based on a mechanical system composed of two NES coupled to the well-known two-degrees-of-freedom Hulten's model. In such an unstable system coupled with NES, it is usual to observe a discontinuity in the steady-state amplitude profile which separates the parameter space into two parts corresponding respectively to the mitigated and unmitigated regimes. The discontinuity is predicted by a methodology previously developed by the authors and based on Multi-Element generalized Polynomial Chaos. The method allows to determine the Propensity of the system to undergo a Harmless Steady-State Regime (PHSSR). The objective of the present work is therefore to maximize the value of the PHSSR to obtain a robust optimal design of the NES. To this end, several stochastic optimization problems are presented that take into account the dispersion of the uncertain parameters using two approaches; in the first one, the parameters of the NES are considered as deterministic, and in the second one they are also supposed uncertain but with a known probability law.
引用
收藏
页数:13
相关论文
共 45 条
[1]  
Askey R., 1985, SOME BASIC HYPERGEOM, V319
[2]   Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink [J].
Bergeot, Baptiste .
JOURNAL OF SOUND AND VIBRATION, 2021, 503
[3]   Dynamic behavior analysis of a mechanical system with two unstable modes coupled to a single nonlinear energy sink [J].
Bergeot, Baptiste ;
Bellizzi, Sergio ;
Berger, Sebastien .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 95
[4]   Mode coupling instability mitigation in friction systems by means of nonlinear energy sinks: Numerical highlighting and local stability analysis [J].
Bergeot, Baptiste ;
Berger, Sebastien ;
Bellizzi, Sergio .
JOURNAL OF VIBRATION AND CONTROL, 2018, 24 (15) :3487-3511
[5]   Stochastic finite element: a non intrusive approach by regression [J].
Berveiller, Marc ;
Sudret, Bruno ;
Lemaire, Maurice .
EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS, 2006, 15 (1-3) :81-92
[6]  
Boroson E., 2015, OPTIMIZATION UNCERTA
[7]   Optimization under uncertainty of parallel nonlinear energy sinks [J].
Boroson, Ethan ;
Missoum, Samy ;
Mattei, Pierre-Olivier ;
Vergez, Christophe .
JOURNAL OF SOUND AND VIBRATION, 2017, 394 :451-464
[8]   THE ORTHOGONAL DEVELOPMENT OF NON-LINEAR FUNCTIONALS IN SERIES OF FOURIER-HERMITE FUNCTIONALS [J].
CAMERON, RH ;
MARTIN, WT .
ANNALS OF MATHEMATICS, 1947, 48 (02) :385-392
[9]   Tuned bistable nonlinear energy sink for simultaneously improved vibration suppression and energy harvesting [J].
Fang, Shitong ;
Chen, Keyu ;
Xing, Juntong ;
Zhou, Shengxi ;
Liao, Wei-Hsin .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2021, 212
[10]   Investigation of the relationship between damping and mode-coupling patterns in case of brake squeal [J].
Fritz, Guillaume ;
Sinou, Jean-Jacques ;
Duffal, Jean-Marc ;
Jezequel, Louis .
JOURNAL OF SOUND AND VIBRATION, 2007, 307 (3-5) :591-609