Application of Experimental Modal Analysis for Identification of Laminated Carbon Fiber-Reinforced Plastics Model Parameters

Nikhamkin, Mikhail; Semenov, Sergey; Solomonov, Danil

doi:10.1007/978-3-319-95630-5_51

Cited by 6 publications

(5 citation statements)

References 2 publications

(3 reference statements)

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“…It is assumed that the modal mass, m i , does not change according to variation in the carbon fiber angle. The viscous damping coefficient normalized by the modal mass is defined as the mass-normalized viscous damping coefficient in Equation (7).…”

Section: Sensitivity Formulation For the Viscous Damping Coefficientmentioning

confidence: 99%

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Sensitivity of the Viscous Damping Coefficient of Carbon Fiber in Carbon-Fiber-Reinforced Plastic with Respect to the Fiber Angle

Kim

2021

Crystals

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The variation in the viscous damping coefficient with the carbon fiber angle can be evaluated using the partial derivatives of the viscous damping coefficient with respect to the resonance frequency and modal damping ratio. However, the direct derivatives of the viscous damping coefficient were not effective solutions to the sensitivity analysis of carbon-fiber-reinforced plastic (CFRP) structures because the viscous damping from the binding matrix was not changed over the carbon fiber angle. If the identified viscous damping coefficients were assumed to be equivalent values from the parallel relationship between the binding matrix and carbon fiber, the relative error of the viscous damping coefficient of carbon fiber between the increased carbon fiber angle and reference angle could be used as the sensitivity index for the viscous damping coefficient of carbon fiber only. The modal parameters, resonance frequency, and modal damping ratio were identified from the experimental modal test of rectangular CFRP specimens for five different carbon fiber angles between 0° and 90°. The sensitivity of the viscous damping coefficient of carbon fiber was determined for two sensitivity indices: the direct derivative of the mass-normalized equivalent viscous damping coefficient and the relative error of the viscous damping coefficient of carbon fiber. The sensitivity results were discussed using the five mode shapes of the CFRP specimen, that is, three bending modes and two twisting modes.

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Section: Sensitivity Formulation For the Viscous Damping Coefficientmentioning

confidence: 99%

“…The anisotropic nature of CFRP is unique and beneficial for enhancing structural stiffness in a load-bearing system. However, a sound understanding of the mechanical properties of carbon fiber under different conditions is necessary for the efficient usage of CFRP in field applications [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Sensitivity of the Viscous Damping Coefficient of Carbon Fiber in Carbon-Fiber-Reinforced Plastic with Respect to the Fiber Angle

Kim

2021

Crystals

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“…The determination of these parameters is considered in this study as the inverse identification problem using the results of modal tests. In the framework of this approach, a mixed numerical experimental technique was used [22][23][24][25]. It includes an optimization procedure for identifying the mathematical model of a sample from experimental data on its natural frequencies.…”

Section: Experimental Techniquementioning

confidence: 99%

Change of the Elastic Characteristics of a Fiber-Reinforced Laminate as a Result of Progressive Fatigue Damage

Nikhamkin

Solomonov

2021

SSP

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It is a widely known fact that the stiffness of polymer composite materials decreases with the accumulation of fatigue damage under cyclic loading. The purpose of this article is to develop a method and obtain experimental data on decrease of the elastic characteristics of a fiber-reinforced laminate, as a result of progressive fatigue damage. The developed technique consists of two stages. At the first one, the natural frequencies and eigenmodes of the samples during their fatigue testing are experimentally obtained. The dependences of the natural frequencies of the samples on the number of loading cycles are found. At the second stage, the four elasticity parameters of the laminate monolayer (two Young modules, the shear module and Poisson's ratio) are identified via the natural frequencies. The inverse numerical/experimental technique for material properties identification is applied. The dependences of the natural frequencies and mentioned elastic characteristics on the relative fatigue life are obtained as experimental results of both modal and fatigue tests. The results can be useful to study the fatigue behavior of the investigated materials and to create methods for calculating fatigue life.

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“…In [12], the author investigates the possibility of polymer sample identification using modal analysis and validates the mathematical model with the tests performed. The maximum error with the experiment is 3.9 %, which indicates the correctness of the chosen method.…”

Section: Introductionmentioning

confidence: 99%

Identification of the parameters of a composite material by experimental-computational damping research

Eremin¹,

Guseva²,

Bolshikh³

2023

J. vibroeng.

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Calculation of the modal and damping characteristics necessary to eliminate resonant oscillation of products made of polymeric materials requires reliable data on the elastic characteristics of the material. The problem is that the mechanical properties of polymer composite materials depend on a large number of factors. The aim of the work is to determine the damping coefficients for a layered composite material and the subsequent validation of the mathematical model. The Rayleigh damping model was chosen to calculate the damping coefficients. The choice is due to the fact that the resulting stiffness and mass matrix is determined by the natural oscillation modes of the problem without attenuation, which makes it possible to split the modes into separate dynamic subtasks. A sample made according to the ASTM standard was chosen as the object of study. To increase an error of the calculation, the mathematical model of the sample was modeled in detail by the finite element method using the technique of layer-by-layer modeling. The method for determining the damping coefficients is carried out in three stages. At the first stage, with the help of modal analysis, the natural oscillation modes are determined, corresponding to the nature of the oscillation studied in the experiment. At the second stage, an implicit dynamic analysis with default damping parameters in order to calculate the damping ratio is performed. At the last stage, a steady-state dynamic analysis taking into account the characteristics obtained in the previous stages. Next, an iterative process begins, including implicit and steady-state dynamic analyses, performed alternately. At each step, the previously calculated Rayleigh proportionality coefficients are introduced into the model. As a result of the identification of the mathematical model, the damping coefficients α and β are calculated. The damping experiment was chosen as a validation problem. The damping ratio ζ was chosen as the criterion of convergence with the experimental data.

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Application of Experimental Modal Analysis for Identification of Laminated Carbon Fiber-Reinforced Plastics Model Parameters

Cited by 6 publications

References 2 publications

Sensitivity of the Viscous Damping Coefficient of Carbon Fiber in Carbon-Fiber-Reinforced Plastic with Respect to the Fiber Angle

Sensitivity of the Viscous Damping Coefficient of Carbon Fiber in Carbon-Fiber-Reinforced Plastic with Respect to the Fiber Angle

Change of the Elastic Characteristics of a Fiber-Reinforced Laminate as a Result of Progressive Fatigue Damage

Identification of the parameters of a composite material by experimental-computational damping research

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