An alternative alpha finite element method (AαFEM) free and forced vibration analysis of solids using triangular meshes

This paper presents a novel approach to modified a strain field of linear triangular FEM model with an adjustable parameter α. Using meshes with the same aspect ratio, a preferable approach has been proposed to obtain a nearly exact solution in strain energy for linear problems. In this paper, it is extended to the free and forced analysis of two-dimensional dynamic for solid mechanics problems without increasing the computational cost. The numerical results show in AαFEM are more accurate results and higher convergence rates as compared to that of standard FEM when the same sets of nodes are used.