THE PERFORMANCE OF QUADRILATERAL ELEMENT WITH ROTATIONAL DEGREES OF FREEDOM IN STATICS AND DYNAMICS ANALYSIS AND OPTIMIZATION
Abstract
Finite Element Method (FEM) is widely used in structural analysis, and the standard approach to increase the accuracy of analysis is increasing the total degrees of freedom (DOFs), namely, refine the mesh. By introducing the rotational DOFs, better accuracy can be achieved without change the mesh. The objective of this study was to investigate the performance of elements with rotational DOFs in statics and dynamics analysis and applying these elements to optimization. The implementation of three representative elements with rotational DOFs for statics analysis is reproduced. Also, this work implements these elements to dynamics analysis and optimization. The results show the performance of elements with rotational DOFs is better than the regular element in both statics and dynamics analysis.