I am trying to regenerate the Natural Frequencies of a clamped-clamped viscoelastic core via. ACM (Approached Complex Eigenmodes) method as is in the article : "Linear and nonlinear vibrations analysis of viscoelastic sandwich beams" (DOI: 10.1016/j.jsv.2010.06.012).I am trying to use semi analytical Galerkin method in order to do so. the problem with the use of ACM method for modeling the core my answers are close but when I increase the number of modes to solve the problem in more precise way my answer get worse! and also there is no convergence happening with increasing the number of the modes. what the problem could be? and would it be a better approach to solve the frequency dependent problems which wouldn't be highly costed in solving?
Hi. There are two ways. the first one is to construct a mechanical model to describe the viscoelastic behaviour (in frequency domain) and include it in the stiffness matrix of the model (In this case, the Kglobal matrix will depend of the frequency and you will need use a recursive algorithm to compute the modal parameters). the second way is to express your model in a time domain and use the FFT.
I describe the fist way in my reseach
Uncertainty propagation analysis in laminated structures with viscoelastic core
WP Hernández, DA Castello, TG Ritto - Computers & Structures, 2016
Hi. I suggest you to have a look at works with cork composite (but may be you can find it useful) from Moreira et al. as in Article Static and dynamic characterization of composition cork for ...
and also from Policarpo et al. works like e.g. and its refs 17, 18, ...Thesis Numerical and experimental models for vibration attenuation ...
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