1999
DOI: 10.1002/(sici)1097-0207(19990130)44:3<393::aid-nme511>3.0.co;2-p
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Transient response analysis of structures made from viscoelastic materials

Abstract: The response of structures made from viscoelastic materials to transient excitations is studied using the finite element method. The viscoelastic material behaviour is represented by the complex modulus model. An efficient method using fast Fourier transform has been developed. This method is based on the trigonometrical representation of the input signals and matrix of the transfer functions. The present implementation gives the possibility to preserve exactly the frequency dependence of the storage and loss … Show more

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Cited by 32 publications
(5 citation statements)
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“…The use of the complex modulus approach in linear viscoelasticity allows for the direct use of experimentally obtained frequency-dependent material properties to obtain the frequency domain response in steady state oscillatory conditions. Additionally, it is also possible to obtain transient responses from this approach, considering a trigonometric expansion of the excitation and Fourier analyzis [29,30]. Hence, time domain transient responses can be obtained by inverse Fourier analyzis, as long as the viscoelastic material model is causal [1,29,30], which is usually the case when frequencydependent experimental complex moduli are used.…”
Section: Elastic and Piezoelectric Layersmentioning
confidence: 99%
“…The use of the complex modulus approach in linear viscoelasticity allows for the direct use of experimentally obtained frequency-dependent material properties to obtain the frequency domain response in steady state oscillatory conditions. Additionally, it is also possible to obtain transient responses from this approach, considering a trigonometric expansion of the excitation and Fourier analyzis [29,30]. Hence, time domain transient responses can be obtained by inverse Fourier analyzis, as long as the viscoelastic material model is causal [1,29,30], which is usually the case when frequencydependent experimental complex moduli are used.…”
Section: Elastic and Piezoelectric Layersmentioning
confidence: 99%
“…At the same time, they also pointed out the importance of the optimal placement of viscoelastic layers and https://www.indjst.org/ (11) developed a new finite element for constrained layer beams with moderately thick cores. Barkanov [1999] (12) used fast Fourier transform to study the transient response of viscoelastically damped structures. Lei et al [2006] (13) considered the effects of time and spatial hysteresis while modelling beams and plates.…”
Section: Review On Viscoelastic Dampingmentioning
confidence: 99%
“…The transient response analysis of the structure due to impulse load cannot be performed by direct time integration and mode superposition methods when the material properties are not in time domain. 67 In equation (55), the defined interfacial compliance 0 and interfacial loss factor 00 = 0 are also not defined in the time domain. Hence, obtained effective material properties of the FGNC materials cannot be expressed in the time domain.…”
Section: Frequency Response Analysis Of the Laminated Structurementioning
confidence: 99%