Abstract
The design of passive damping treatments using viscoelastic materials requires both an accurate numerical analysis approach, usually making use of the finite element method, and a realistic means of material description. While the former has been widely studied and several and valuable approaches have become available during the last years, the latter is still an issue requiring additional efforts. The experimental characterization, the data modeling and finally the constitutive models able to be directly used along analytic and numerical analysis, are still important research areas. Several viscoelastic models, able to be directly applied into a finite element analysis either in a time or in a frequency domain analysis, are available and have been widely used during the last years in most of the published work. Despite the general description and straightforward use that such modeling approaches may provide, temperature effect is usually disregarded and isothermal analysis are usually performed. Moreover, this temperature effect is naturally not directly considered as an input parameter for most of the viscoelastic material models and isothermal conditions are also considered in the experimental characterization data analysis. This work presents an extended viscoelastic model, based on well known isothermal models, where the temperature-frequency superposition effect is directly considered. The extended model is applied to the analysis of the experimental data using a data fitting procedure to identify a set of global parameters able to represent the effect of the frequency and the temperature.
Highlights
When dealing with the design of damping treatments, a complete and accurate characterization of the viscoelastic damping materials is required
The direct use of the complex modulus data measured experimentally is limited to the direct frequency analysis or iterative modal extraction approaches
Parametric models, which represent the frequency dependency of the complex modulus through a set of fitted parameters, do provide a simple, yet approximate, means of data representation
Summary
When dealing with the design of damping treatments, a complete and accurate characterization of the viscoelastic damping materials is required. The final goal for this model is to provide the ability to be directly fitted to the experimental data, without the need for pre-analysis and filtering tasks, and midterm procedures such as the required shift factor fitting process. This extended model, combining both the temperature and the frequency dependency, shall be regarded as an universal descriptor for the viscoelastic materials complex modulus, providing a valuable tool for data sharing and publication, or even as a constitutive model in a numerical analysis procedure
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