Journal ArticleDOI
Identification of the parameters of the Kelvin-Voigt and the Maxwell fractional models, used to modeling of viscoelastic dampers
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In this paper, a family of methods for identification of the parameters of both the Kelvin-Voigt fractional model and the Maxwell fractional models are presented in order to describe the behavior of viscoelastic dampers using a small number of parameters.About:
This article is published in Computers & Structures.The article was published on 2010-01-01. It has received 233 citations till now.read more
Citations
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Research and applications of viscoelastic vibration damping materials: A review
TL;DR: A comprehensive review of the various research methods and theory calculation models that are employed in engineering to study the static and dynamic vibration characteristics of viscoelastic damping material (VDM) formed structures is presented in this article.
Journal ArticleDOI
Application of fractional derivative models in linear viscoelastic problems
TL;DR: In this article, experimental results of a series of compression and tension tests on specimens of styrene-butadiene rubber and polypropylene plastic are presented; tests consist of creep and relaxation tests, as well as cyclic loading at different frequencies.
Journal ArticleDOI
A new Legendre operational technique for delay fractional optimal control problems
Ali H. Bhrawy,S. S. Ezz-Eldien +1 more
TL;DR: In this paper, new operational matrices for shifted Legendre orthonormal polynomial are derived for the delay fractional optimal control problem and the Lagrange multiplier method for the constrained extremum is used to minimize the performance index.
Journal ArticleDOI
Investigation Progresses and Applications of Fractional Derivative Model in Geotechnical Engineering
TL;DR: In this paper, a review paper shed light on the practical application aspects of deformation analysis of circular tunnel, rheological settlement of subgrade, and relevant loess researches subjected to the achievements acquired in geotechnical engineering.
Journal ArticleDOI
A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations
TL;DR: In this paper, the shifted Legendre polynomials are introduced as basis functions of the collocation spectral method together with the operational matrix of fractional derivatives (described in the Caputo sense) in order to reduce the time-fractional coupled KdV equations into a problem consisting of a system of algebraic equations that greatly simplifies the problem.
References
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Journal ArticleDOI
Fractional calculus - A different approach to the analysis of viscoelastically damped structures
Ronald L. Bagley,Peter J. Torvik +1 more
TL;DR: In this paper, a fractional calculus is used to construct stress-strain relationships for viscoelastic materials and these relationships are used in the finite element analysis of damped structures and closed-form solutions to the equations of motion are found.
Journal ArticleDOI
Analysis of four-parameter fractional derivative model of real solid materials
TL;DR: In this paper, the effect of the parameters on the frequency curves is demonstrated, and it is shown that there is a strict relation between the dispersion of the dynamic modulus, the loss peak and the slope of the frequency curve.
Journal ArticleDOI
Fractional‐Derivative Maxwell Model for Viscous Dampers
TL;DR: In this paper, a fractional-derivative Maxwell model is proposed for viscous dampers, which are used for vibration isolation of piping systems, forging hammers, and other industrial equipment, as well as for vibration and seismic isolation of building structures.
Journal ArticleDOI
Optimal placement of dampers for passive response control
Mahendra Singh,Luis M. Moreschi +1 more
TL;DR: In this paper, the optimal utilization of viscous and viscoelastic dampers in a structure to achieve a desired performance under earthquake-induced ground excitations is discussed. But the use of the genetic approach is not limited to any particular form of performance function as long as it can be calculated numerically.
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