A principle of similarity for nonlinear vibration absorbers

PHYSICA D-NONLINEAR PHENOMENA

卷:332

Article

Habib, G.¹  Kerschen, G.¹ 

[1] Univ Liege, Space Struct & Syst Lab, Aerosp & Mech Engn Dept, B-4000 Liege, Belgium

关键词: Principle of similarity;    Nonlinear resonances;    Equal-peak method;    Vibration absorber;   

DOI  :  10.1016/j.physd.2016.06.001

来源: Elsevier

【 摘 要 】

This paper develops a principle of similarity for the design of a nonlinear absorber, the nonlinear tuned vibration absorber (NLTVA), attached to a nonlinear primary system. Specifically, for effective vibration mitigation, we show that the NLTVA should feature a nonlinearity possessing the same mathematical form as that of the primary system. A compact analytical formula for the nonlinear coefficient of the absorber is then derived. The formula, valid for any polynomial nonlinearity in the primary system, is found to depend only on the mass ratio and on the nonlinear coefficient of the primary system. When the primary system comprises several polynomial nonlinearities, we demonstrate that the NLTVA obeys a principle of additivity, i.e., each nonlinear coefficient can be calculated independently of the other nonlinear coefficients using the proposed formula. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free