Optimization the steady state dynamics of a nonlinear beam coupled to a nonlinearenergy sink

A nonlinear, simply supported Euler-Bernoulli beamunder harmonic excitation coupled to a nonlinear energysink (NES) is considered. The NES has nonlinearstiffness of order three. By applying complex averagingmethod, an approximate solution for the steady statevibration of the system is obtained based on ۱:۱resonance. In order to design an optimized NES for thepurpose of reducing the vibration amplitude of the beam,the effect of NES parameters on the amplitude of theprimary system is investigated individually by varyingparameters. Results showed huge reduction in thevibration amplitude of the original system.

کلیدواژه ها:

nonlinear beam ، nonlinear energy sink ، complex averaging method ، ۱:۱ resonance ، optimizedNES