The Effect of Own Weight on Dynamic Analysis of a Pre-Stretched Composite Plate-Strip Containing Twin Circular Inclusions Under Bending Using Finite Element Method

Abstract

This manuscript describes how the weight of a simply supported composite plate-strip (containing twin circular inclusions) affects its dynamic behaviors when exposed to bending load as analyzed via the finite element method (FEM). The centers of the twin circular inclusions are on a line parallel to the free surface, and the materials of both inclusions are the same. First, the effects of body forces (the plate-strip’s own weight) and surface forces (pre-stretching load) on the plate-strip (both are considered to be initial stresses) are identified using the classical linear theory of elasticity. Next, the consequences of these stressors (identified in the first step) under additional time harmonic bending load on the forced vibration around the inclusions are determined using the three-dimensional linearized theory of elasticity (TDLTE) under the plane-strain state. The data herein suggest that the plate-strip’s weight can significantly effect dynamic characteristics of the considered plate-strip.