Wave propagation analysis of micropolar elastic beams using a novel micropolar wave finite element method

In this article, the wave finite element method (WFEM) is developed for analyzing the wave propagation of one-dimensional micropolar elastic beams at small strain. The micropolar WFEM (MWFEM) equations are derived without formulating the differential equations of motions, with introducing the additional microrotational degree of freedom. The solutions are unconditionally stable. The length scale effects on transverse and rotational stiffness of the micropolar beam along with the study of the combination of high and low-frequency waves are studied in this paper. The proposed equations are examined using the classical and micropolar numerical examples. Excellent agreements are achieved between the proposed equations and other numerical solutions available in the literature.