Property identification of viscoelastic solid materials in nomograms using optimization techniques

Sousa, Tiago Lima de; Kanke, Ferdinand; Pereira, Jucélio Tomás; Bavastri, Carlos Alberto

doi:10.15632/jtam-pl.55.4.1285

Cited by 6 publications

(7 citation statements)

References 22 publications

(25 reference statements)

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“…For the imported materials, the nomograms are provided by the manufacturer. Through the nomograms of the materials, their properties were identified through a numerical methodology based on the fractional Zener model (see Sousa et al., 2017). The identified parameters are shown in Table 1.…”

Section: Optimization Strategymentioning

confidence: 99%

A methodology for an optimal design of physical parameters, positions, and viscoelastic materials of simple dynamic absorbers for passive vibration control

Silva

Bavastri

2019

Journal of Vibration and Control

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Dynamic vibration absorbers are simple mechanical devices that are attached to a structure aiming at reducing vibration levels. Designing such devices for vibration control of mechanical systems using viscoelastic materials results in low costs, easy construction, and higher efficacy due to their ability to dissipate vibration energy. In this context, the present study aims at developing a methodology for an optimal design of a set of viscoelastic dynamic absorbers considering their natural frequencies, the positions to attach them onto the structure to be controlled, and the viscoelastic materials as variables to be optimized for different working temperatures. The optimal configuration is obtained by applying a hybrid optimization technique, which uses genetic algorithms (considering continuous and discrete variables in the same design vector) aiming at approximating the global minimum point and, subsequently, a nonlinear programming method (simplex based on the Nelder–Mead method) to perform a local search. An example of dynamic absorber design to reduce vibration levels in a one-degree-of-freedom (DOF) system and on a steel plate (multiple-DOFs) is presented. The results show the efficacy of the methodology for passive control of vibrations acting on a broadband of frequencies and different temperatures.

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Section: Optimization Strategymentioning

confidence: 99%

A methodology for an optimal design of physical parameters, positions, and viscoelastic materials of simple dynamic absorbers for passive vibration control

Silva

Bavastri

2019

Journal of Vibration and Control

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“…This is a elastomeric polymer, known commercially as ISODAMP C-1002, manufactured by EAR ® Specialty Composites (Indianápolis, EUA) and made from polyvinyl chloride (Dandekar et al, 1991;Szabo e Keough, 2002). This material has been used in studies involving typical VEMs (Espíndola et al, 2006;Nayfeh, 2004;Sousa et al 2017). Jones (1992) takes a set of samples of this material and sends them to some laboratories in the world (named generically Laboratory A to Laboratory F).…”

Section: Complex Moduli Considering Temperaturementioning

confidence: 99%

“…(Renaud et al, 2011). However, in order to accurately model VEMs, a large number of rheological elements are required (Sousa et al, 2017). For many complex VEMs, this approach is often impractical and expensive from computational modeling viewpoint.…”

Section: Introductionmentioning

confidence: 99%

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Indirect Identification of the Complex Poisson's Ratio in Fractional Viscoelasticity

Sousa

Silva

Pereira

2018

Lat. Am. j. solids struct.

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The use of viscoelastic materials (VEMs) has becoming more and more frequent both as vibration control in general or as parts of structural components. In all applications, the mechanical behavior of such materials can be predicted by the complex moduli (Young's, shear or volumetric) and the complex Poisson's ratio. Over recent decades, various methodologies have been presented aiming at characterizing complex moduli. On the other hand, the indirect identification of the Poisson's ratio, in the frequency domain, proves to be underexplored. The present paper discusses two computational methodologies in order to obtain, indirectly, the complex Poisson's ratio in linear and thermorheologically simple solid VEMs. The first of them uses a traditional methodology, which individually identifies the complex Young's and the shear moduli and, from them, one obtains the complex Poisson's ratio. The second methodologyproposed in the present paper and called 'integrated'-obtains the complex Poisson's ratio through a simultaneous identification of those two complex moduli. Both methodologies start from a set of experimental points of the complex moduli in the frequency domain, carried out at different temperatures. From those points, a hybrid optimization technique is applied (Genetic Algorithms and Non-Linear Programming) in order to obtain the parameters of the constitutive models for the VEM under analysis. For the experiments described here, the integrated methodology proves to be very promising and with a great application potential.

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“…Sousa et al [20] presented a method to determine the parameters of a fractional model for VEMs, considering the effects of frequency and temperature. The data were obtained by sampling a nomogram supplied by the manufacturer, using at least two different temperatures.…”

Section: Introductionmentioning

confidence: 99%

Integrated Dynamic Characterization of Thermorheologically Simple Viscoelastic Materials Accounting for Frequency, Temperature, and Preload Effects

2019

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In vibration insulation projects, a parameter affecting the dynamic properties of the viscoelastic materials is the previous static load acting on the supports, denominated here as the ‘preload’. Most of the currently-used methodologies obtain the dynamic properties by considering only the effects of temperature and frequency. The additional effect of preload can be added to the usual methodologies by employing the hyperelastic theory developed by Mooney–Rivlin. The current work proposes an integrated approach to characterize thermorheologically simple viscoelastic materials, including the preload effect along with the influence of temperature and frequency. The proposed method uses a hybrid optimization process, combining a genetic algorithm (GA) and a non-linear optimization technique—named ‘simplex’—in an inverse problem structure applied to all experimental data at hand. A set of samples of elastomer BT-806 55 (butyl rubber) was tested at various temperatures, frequencies, and preloads. The comparison between the results of the present methodology and traditional approaches to a variation in the dynamic properties at all frequencies and temperatures for a constant vibration amplitude. The present results prove that the proposed methodology is a viable alternative to represent the dynamic properties of materials used in vibration isolation.

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Property identification of viscoelastic solid materials in nomograms using optimization techniques

Cited by 6 publications

References 22 publications

A methodology for an optimal design of physical parameters, positions, and viscoelastic materials of simple dynamic absorbers for passive vibration control

A methodology for an optimal design of physical parameters, positions, and viscoelastic materials of simple dynamic absorbers for passive vibration control

Indirect Identification of the Complex Poisson's Ratio in Fractional Viscoelasticity

Integrated Dynamic Characterization of Thermorheologically Simple Viscoelastic Materials Accounting for Frequency, Temperature, and Preload Effects

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