Characterisation and modelling of viscoelastically damped sandwich structures

Martinez‐Agirre, Manex; Elejabarrieta, María Jesús

doi:10.1016/j.ijmecsci.2010.05.010

Cited by 42 publications

(12 citation statements)

References 12 publications

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“…In experimental way by applying a seismic excitation the flexural rigidity of the composite beam is determined. From the measured resonant frequencies and loss factors of the composite beam, and also from the response of outer beams taken separately, the modal flexural rigidity is given by the formula presented in [2] [4] ( ) ( ) where: f n -the n-th resonant frequency of the composite beam, f 0n -the n-th natural frequency of each individual outer beam, η n -the modal loss factor.…”

Section: Identification Methodsmentioning

confidence: 99%

“…During the tests investigations single base beams and composite beams were tested as was mentioned in [4]. Six specimens were subjected to the pink noise input signal.…”

Section: Experimental Investigationsmentioning

confidence: 99%

“…The presented method, known in the literature as the RKU method was verified and used later in the works of many researchers (e.g. Jones, 2001 [2]; Rao 2003 [3], Martinez-Agirre and Elejabarrieta, 2010 [4]). …”

Section: Introductionmentioning

confidence: 95%

See 2 more Smart Citations

Identification of Modal Loss Factor of a Sandwich Composite Structure with Polyethylene Terephthalate Core in the Aspect of Core Properties Determination

Marynowski¹,

Grochowska²

2015

MSA

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Comparison of the loss factor determination methods of the sandwich composite structure with polyethylene terephthalate core in the aspect of core material rheological parameters identification was the purpose of the study. Three frequency bandwidths n dB: 1 dB, 2 dB, 3 dB methods, the resonant amplitude method and the fit method of the response of the one degree of freedom model system are taken into considerations. Identification procedure, according to ASTM E756-2005 [1] based on experimental studies of the forced vibrations of the composite structure was presented in the paper. To determine the function of the complex shear modulus of the core material, the Nelder-Mead method is applied. Shear modulus and loss factor identification results were presented on the plots in the frequency domain. The results in a quantitative manner set the applied methods and their practical utility in order.

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Section: Identification Methodsmentioning

confidence: 99%

“…During the tests investigations single base beams and composite beams were tested as was mentioned in [4]. Six specimens were subjected to the pink noise input signal.…”

Section: Experimental Investigationsmentioning

confidence: 99%

See 1 more Smart Citation

Identification of Modal Loss Factor of a Sandwich Composite Structure with Polyethylene Terephthalate Core in the Aspect of Core Properties Determination

Marynowski¹,

Grochowska²

2015

MSA

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“…The mathematical modeling of the mechanical behavior of VEMs must therefore be performed not only in frequency domain but also in time domain. Generally speaking, regarding the frequency domain approach, the idea is to impose a harmonic loading with variable frequency and known range, and use some dynamic model of the system in order to obtain the storage modulus and the loss factor in a predetermined frequency interval (Moreira et al, 2010;Martinez-Agirre and Elejabarrieta, 2010). Regarding time domain, the idea is to impose a stress history in order to obtain a strain history or, reversely, impose a strain history and obtain a stress history and, subsequently, apply a model of the system (Liu and Subhash, 2006;Plaseied and Fatemi, 2008;Chae et al, 2010).…”

Section: Introductionmentioning

confidence: 99%

Identifying Mechanical Properties of Viscoelastic Materials in Time Domain Using the Fractional Zener Model

Ciniello

Bavastri

Pereira

2017

Lat. Am. j. solids struct.

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The present paper aims at presenting a methodology for characterizing viscoelastic materials in time domain, taking into account the fractional Zener constitutive model and the influence of temperature through Williams, Landel, and Ferry's model. To that effect, a set of points obtained experimentally through uniaxial tensile tests with different constant strain rates is considered. The approach is based on the minimization of the quadratic relative distance between the experimental stress-strain curves and the corresponding ones given by the theoretical model. In order to avoid the local minima in the process of optimization, a hybrid technique based on genetic algorithms and non-linear programming techniques is used. The methodology is applied in the characterization of two different commercial viscoelastic materials. The results indicate that the proposed methodology is effective in identifying thermorheologically simple viscoelastic materials.

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“…These treatments are usually classified according to whether the damping material is subjected to extensional or shear deformation. The former is referred to as the unconstrained or free layer damping (FLD) treatment, and the latter as the constrained layer damping (CLD) treatment [5,6].…”

Section: Introductionmentioning

confidence: 99%

Higher order eigensensitivities‐based numerical method for the harmonic analysis of viscoelastically damped structures

Martinez‐Agirre

Elejabarrieta

2011

Numerical Meth Engineering

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SUMMARYThis paper presents an efficient numerical method for the harmonic analysis of viscoelastically damped structural systems characterized by a frequency-dependent structural damping matrix, making use of the complex mode superposition method. Departing from the undamped eigensolution, the proposed numerical method updates the complex and frequency-dependent eigenpair avoiding the solution of a complex eigenproblem for each computational frequency. The complex eigenvalues and eigenvectors are updated within the desired tolerance by an adaptive step-size control scheme using the first-and higher order eigenderivatives. The influence on the computation time of the considered number of eigenderivatives and the tolerance is discussed, and the efficiency of the proposed numerical method for the harmonic analysis of viscoelastically damped large-ordered structural systems is proved. Finally, a practical application is presented where the harmonic response of a constrained layer damping cantilever beam subjected to a base motion is analyzed. The complex and frequency-dependent eigenvalues and eigenvectors are computed, the modal contributions to the total response are determined, and the total response is approximated by the complex mode superposition method. Finally, the approximated response is validated with the exact one computed by the direct frequency method and with that experimentally measured.

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Characterisation and modelling of viscoelastically damped sandwich structures

Cited by 42 publications

References 12 publications

Identification of Modal Loss Factor of a Sandwich Composite Structure with Polyethylene Terephthalate Core in the Aspect of Core Properties Determination

Identification of Modal Loss Factor of a Sandwich Composite Structure with Polyethylene Terephthalate Core in the Aspect of Core Properties Determination

Identifying Mechanical Properties of Viscoelastic Materials in Time Domain Using the Fractional Zener Model

Higher order eigensensitivities‐based numerical method for the harmonic analysis of viscoelastically damped structures

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