I want to explore the dynamics of parametrically excited (nonlinear) beam whose material's Young's modulus (E) and loss tangent (tan(delta)) are known. It is convenient to use the simple Kelvin-Viogt model in the evaluation nonlinear dynamics. Hence, I want to find out viscoelastic coefficient (eta) in the model,
sigma = E*(epsilon)+eta*(d/dt(epsilon))
where, sigma is time varying stress, epsilon is time varying strain. d/dt is differentiation with respect to time.
Please, give me some suggestions for the calculation of viscoelastic coefficient or any other alternative modelings using loss tangent and Young's modulus.
I suppose you have the data in the frequency domain. If you have experimental data and the Kelvin Voigh Model, you could use any optimization method (PSO least squares, gradient methods, etc.) to minimize the error (Ymodel -Yexp) so that both model and data can be adjusted
Thank you William Pinto Hernández for your kind suggestion. I understood from your explanation that I have to fit the experimental data and model. But actually I did not get what parameter to be fitted with what data. I am somewhat new to this area. Can you please describe more clearly. I have suppose storage modulus and loss modulus data with respect to frequency, then what Kelvin-Viogt parameter should be fitted.
Is the creep data (strain variation with time for applied constant stress) useful to find the viscoelastic coefficient.
https://ssl4799.websiteseguro.com/swge5/PDF/DIN-2015-0123_17225.PDF
Article Thermorheologically simple materials: A bayesian framework f...
This is a calibration for a Viscoelastic Material using a fractional derivative model. There is a experimental data for the storage and loss modulus.
In your problem you must define a inverse problem Ymod = Kelvin_Voigh(parameters), and try reduce (a minimization problem) the error between the experimental response Yexp and the model response.
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