Modal testing of nonlinear vibrating structures based on nonlinear normal modes: Experimental demonstration

Modal testing of nonlinear vibrating structures based on nonlinear normal modes Experimental demonstration

Dynamic testing of nonlinear vibrating structures using nonlinear normal modes

ll rights reserved. +3243669505. s), [email protected] (G. Kerschen), [email protected] (J.C. Golinval). Finite element model ̈ M x (t)+ Kx (t) + fnl {x (t)} = 0 0 2 4 6 8 10 −100 −50 0 50 100 Time (s) A cc . ( m /s 2 ) Numerical NNM computation Experimental NNM extraction NNM frequencies NNM modal curves Experimental response (time series) Fig. 1. Theoretical and experimental nonlinear m...

Nonlinear Normal Modes of Vibrating Mechanical Systems and Their Applications

Nonlinear generation of missing modes on a vibrating string

The nonlinear transfer of energy among modes of different frequencies on a vibrating string is investigated both theoretically and experimentally. The nonlinearity is associated with the wellknown variation of string tension caused by the vibration modes, but it is essential that at least one of the end supports has finite mechanical admittance if there is to be any mode coupling. If the nonrig...

Designing vibrating mode controllers for first degree freedom nonlinear structures

The occurrence of catastrophic earthquakes necessitates further researches in the structure engineering for retrofitting construction structures. In this paper, the application of the active control in the structures’ seismic response has been addressed. A single degree of freedom nonlinear structure has been studied. The nonlinear dynamic of the structure is considered in which, the nonlin...