Title: A combination optimisation method for the estimation of material parameters for viscoelastic solids
Authors: Zhiwei Cui; L. Catherine Brinson
Addresses: Department of Mechanical Engineering, Northwestern University, Evanston, IL, 60208, USA ' Department of Mechanical Engineering, Northwestern University, Evanston, IL, 60208, USA
Abstract: In the current work, we propose a two-step optimisation method to determine the coefficients of the Prony series expansion for a viscoelastic constitutive model by combining the benefits of particle swarm optimisation and linear least square solver. The entire fitting progress is decoupled and divided into two portions. Each optimisation approach is used for obtaining one set of parameters. This method overcomes the usual difficulties of original function determinations and could find the global optimal solution with a high precision. The quality of the developed method is verified by three examples on both time-domain and frequency-domain experimental data. Simulation results are consistent with corresponding experimental data, showing that the new technique is valid and applicable for estimating structural properties of viscoelastic materials.
Keywords: viscoelasticity; Prony series expansion; particle swarm optimisation; PSO; linear least squares; LLS solver; LLSS; combination optimisation; material parameters; viscoelastic solids; constitutive modelling; simulation; structural properties; viscoelastic materials.
International Journal of Computing Science and Mathematics, 2014 Vol.5 No.4, pp.325 - 335
Received: 15 Jul 2014
Accepted: 22 Jul 2014
Published online: 31 Jan 2015 *