Exact receptance function and receptance curvature of a clamped-clamped continuous cracked beam

Abstract

The receptance function has been studied and applied widely since it interrelates the harmonic excitation and the response of a structure in the frequency domain. This paper presents the derivation of the exact receptance function of continuous cracked beams and its application for crack detection. The receptance curvature is defined as the second derivative of the receptance. The influence of the crack on the receptance and receptance curvature is investigated. It is concluded that when there are cracks the receptance curvature has sharp changes at the crack positions. This can be applied for the crack detection purpose. In this paper, the numerical simulations are provided.

Theoretical and experimental analysis of the exact receptance function of a clamped-clamped beam with concentrated masses

“…Muscolino and Santoro [11] developed the explicit frequency response functions of discretized structures with uncertain parameters. Recently, the authors of this paper [12] presented the exact formula of the receptance function of a cracked beam and its application for crack detection. However, the exact form of frequency response function of a beam with concentrated masses has not been established yet.…”