Analysis of uncertainties in the nonlinear vibration of viscoelastic sandwich beams
Victor Augusto Silva1; Antônio Marcos Lima1
1 Federal University of Uberlândia
doi:10.20906/CPS/USM-2016-0034
Resumo
This paper proposes a finite element modeling procedure of sandwich structures with a viscoelastic core, taking into account the dependence in frequency of its properties, with the eigenvalues calculated using the inverse iteration algorithm. The linear and nonlinear vibration analysis is made combining the harmonic balance technique with the complex mode Galerkin's procedure, generating an amplitude-frequency relation. A model reduction method becomes necessary and is used due to the high computational cost to calculate the structure's response. Numerical tests are done with different approaches for the viscoelastic law, with a structure submitted to diverse boundary conditions. The obtained results show the method's efficiency to calculate the responses and save computational effort. Finally, uncertainties are introduced in parameters of the structure and of the environment, modeled via Maximum Entropy Method, in order to obtain envelopes of frequency and see the level of influence of each variable in the structure's response.
Palavras-chave: Nonlinear vibration; Viscoelastic structure; Uncertaities; Vibration control