WAVE PROPAGATION ANALYSIS OF EDGE CRACKED BEAMS RESTING ON ELASTIC FOUNDATION

Abstract

This paper presents responses of an edge circular cantilever beamresting on Winkler-Pasternak foundation under the effect of an impact force. The beam is excited by a transverse triangular force impulse modulated by a harmonic motion. The Kelvin–Voigt model for the material of the beam is used. The cracked beam is modelled as an assembly of two subbeams connected through a massless elastic rotational spring. The considered problem is investigated within the Bernoulli-Euler beam theory by using energy based finite element method. The system of equations of motion is derived by using Lagrange’s equations. The obtained system of linear differential equations is reduced to a linear algebraic equation system and solved in the time domain by using Newmark average acceleration method. In the study, the effects of the foundation stiffness on the characteristics of the reflected waves and cracks are investigated in detail

Keywords

• Open edge crack, Wave propagation, Additional Wave, Winkler-Pasternak Foundation

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