Influence of mesh size and truncation order on reconstruction of impact force on composite elastic beams

Abstract

Reconstructing impact forces can improve considerably structural health monitoring as the extent of damage can be better made out. In this work an inverse problem formulation to identify the pressure generated by a non punctual impact is investigated. Considering the case of linear elastic layered composite structures, reconstruction of impact pressure is performed through a finite element model of the structure and impulse response functions between the impact zone and sensors placed at known positions. Assuming that the pressure is uniform, reconstruction is carried out by regularized deconvolution based on generalized singular value decomposition. The infl uence of mesh size, modal truncation and time sampling on the reconstructed pressure is discussed.

Identification based on a finite element model of an impact force occurring on a composite structure

“…To solve the discrete problem given by Eq. (2.1) results in the following set of algebraic equation [7,20]…”