Impact response of fractionally damped rectangular plates made of viscoelastic composite materials
Hessamodin Teimouri, R.T. Faal, Abbas S. Milani
Abstract
The paper aims to find dynamic response of fractionally damped rectangular viscoelastic plates under low-velocity impact of a mass. The general fractional (Rubbery, Transition and Glassy) RTG model for the plate material was considered. First, the governing equation of the plate is derived and solved. Next, using the modified Hertz contact law, the governing integral equation of the problem in terms of indentation is derived and solved. Finally, relation between indentation and impact force is discretized and using the Mittag-Leffler function, history of impact force is obtained. The work is validated by comparison of the results with some particular cases and available experimental data.
Topics & Concepts
ViscoelasticityComposite numberMaterials scienceStructural engineeringComposite materialEngineeringStructural Response to Dynamic LoadsComposite Structure Analysis and OptimizationElasticity and Wave Propagation