Free vibration of angle-ply laminated micro-plates using isogeometric analysis and modified couple stress theory

Based on new modified couple stress and isogeometric analysis, this paper presents a non-classical Reissner-Mindlin plate theory model for free vibration of angle-ply laminate micro-plate. This study extends the new modified couple stress for complicated geometrical structures with internal cutouts. The governing equations for size-dependent free vibration of angle-ply laminate micro-late obtained from the Galerkin weak form are solved by using isogeometric analysis. Various numerical examples are examined to verify the convergence and the accuracy of proposed model. In addition, the numerical results show the influences of material length scale parameter, fiber orientation and BCs of micro-plates. Only one material length scale parameter is investigated to predict the size effects. By increasing the material length scale parameter, the size-dependent behavior leads to an increase in non-dimensional frequencies and critical buckling loads of angle-ply laminate micro-plates.

ISBN:9789811383311

Publication year:2020

Accessibility:Closed