Wave Propagation Analysis of Edge Cracked Beams Resting on Elastic Foundation

Abstract

This paper presents responses of an edge circular cantilever beam resting 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.

Static Analysis of a Fiber Reinforced Composite Beam Resting on Winkler-Pasternak Foundation

“…Waddar et al [27] investigated buckling and dynamic response of cenosphere reinforced epoxy composite core sandwich beam with sisal fabric/epoxy composite facings under compressive load by experimentally. Akbaş [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] investigated nonlinear behavior and forced vibration analysis of composite structures. Also, many researchers investigated mechanical analysis of composite structures resting on foundation [44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60].…”

Free Vibration Analysis of Edge Cracked Functionally Graded Beams Resting on Winkler-Pasternak Foundation

“…In the literature, the free vibration and dynamic behavior of homogeneous cracked beams have been extensively studied [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. In recent years, the dynamic behavior of cracked FGM beams has been a topic of active research.…”

Wave Propagation Analysis of Edge Cracked Circular Beams under Impact Force

“…In a recent study, wave propagation and localization in periodic and randomly disordered periodic piezoelectric axial-bending coupled beams are studied by Zhu et al [25] . Akbaş [26] studied the effect of the elastic foundation types on the wave propagation of the beams.…”