Electrical analogous in viscoelasticity

DOI10.1016/j.cnsns.2013.11.007zbMath1455.74022OpenAlexW2009229823MaRDI QIDQ2299845

Elisa Francomano, Yan Li, Guido Ala, Francesco Paolo Pinnola, Mario Di Paola

Publication date: 24 February 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10447/93346

zbMATH Keywords

eigenvalue analysismodal analysisfractional capacitorfractional hereditary modelspring-dashpot combination

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (8)

A physically based connection between fractional calculus and fractal geometry ⋮ Identification for control of suspended objects in non-Newtonian fluids ⋮ Statistical correlation of fractional oscillator response by complex spectral moments and state variable expansion ⋮ Step-by-step integration for fractional operators ⋮ The role of fractional calculus in modeling biological phenomena: a review ⋮ Fractional differential equations solved by using Mellin transform ⋮ Mathematical modelling with experimental validation of viscoelastic properties in non-Newtonian fluids ⋮ Fractional-order modelling of epoxy resin

Uses Software

• DLMF
• LAF-SPEM
• ma2dfc

Cites Work

• Approximate controllability of nonlinear fractional dynamical systems
• A discrete mechanical model of fractional hereditary materials
• Analysis of nonlinear integral equations with Erdélyi-Kober fractional operator
• Generalized variational calculus in terms of multi-parameters fractional derivatives
• A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives
• Controller design for integer and fractional plants using piecewise orthogonal functions
• Development of fractional order capacitors based on electrolyte processes
• Initial value problems for arbitrary order fractional differential equations with delay
• Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Anlogue realizations of fractional-order controllers.
• A marching-on in time meshless kernel based solver for full-wave electromagnetic simulation
• Application of Avery-Peterson fixed point theorem to nonlinear boundary value problem of fractional differential equation with the Caputo's derivative
• Existence of solutions for impulsive differential models on half lines involving Caputo fractional derivatives
• Identification of Parameters of a Half-Order System
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