Free vibration analysis of plates by using hierarchical solid elements regulating the displacement field

Abstract

The hierarchical continuum-based shell elements have been developed for the accurate modeling of composite structures such as steel-concrete composite bridges. In these elements, the same displacement field as several shear deformation theory is regulated by the displacement function of a hierarchical solid element. By applying the elements based on first-order and high-order shear deformation theory to free vibration analysis of thin and thick plates, the accuracy and applicability of these elements are demonstrated.