High-order effects on the vibration of membrane structures

Abstract

This study analyzed pretension membranes, focusing on high-order effects. Using a combination of the Carrera Unified Formulation (CUF) and the finite element method, the research employs the unique framework of CUF to integrate innovative structural theories in a seamlessly scalable way. The analysis methodically explores the complex effects of shear and bending stiffness on crucial factors such as thickness, geometry, and materials. A comprehensive numerical examination of the subject is undertaken on numerous cases, and the assessment includes established analytical solutions as well as findings provided by commercial software tools. Particular emphasis is placed on mode aberration, underscoring the critical need for more refined structural models. Furthermore, the results show the crucial role of adopting high-order theory in the dynamic analysis of membrane structure, especially for application in space.