A Numerical Scheme for Time-Domain FE Analysis of Viscoelastic Structures With Fractional Derivative Constitutive Equations
Abstract eng: A numerical scheme is presented for time-domain simulations of structural dynamic problems with viscoelastic materials described by fractional derivative constitutive equations. The proposed approach combines a classical Newmark time-integration method used to solve second-order mechanical systems (obtained for example after finite element discretization), with a diffusive representation based on the transformation of the fractional operator into a system of linear differential equations. The focus is given on the general formulation of the problem, the algorithm implementation into a finite element framework, and the developpement of a closedform solution for a fractionnally damped single degree-of-freedom equation.
Contributors:
Publisher:
National Technical University of Athens, 2013
Conference Title:
Conference Title:
COMPDYN 2013 - 4th International Thematic Conference
Conference Venue:
Island of Kos (GR)
Conference Dates:
2013-06-12 / 2013-06-14
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.
Record appears in:
Record created 2016-11-15, last modified 2016-11-15