TY - JOUR
T1 - Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load
AU - Yang, J.
AU - Chen, Y.
AU - Xiang, Y.
AU - Jia, X. L.
PY - 2008
Y1 - 2008
N2 - This paper presents an analytical study on the free and forced vibration of inhomogeneous Euler-Bernoulli beams containing open edge cracks. The beam is subjected to an axial compressive force and a concentrated transverse load moving along the longitudinal direction. The rotational spring model is used to model the crack causing sectional flexibility. The forced response is determined by employing modal series expansion technique. Analytical solutions of natural frequencies and dynamic deflections are obtained for cantilever, hinged-hinged, and clamped-clamped beams whose material properties follow an exponential through-thickness variation. Numerical results are given in both tabular and graphical forms. The effects of cracks, material property gradient, axial compression, and the speed of the moving load are discussed in detail in the parametric study.
AB - This paper presents an analytical study on the free and forced vibration of inhomogeneous Euler-Bernoulli beams containing open edge cracks. The beam is subjected to an axial compressive force and a concentrated transverse load moving along the longitudinal direction. The rotational spring model is used to model the crack causing sectional flexibility. The forced response is determined by employing modal series expansion technique. Analytical solutions of natural frequencies and dynamic deflections are obtained for cantilever, hinged-hinged, and clamped-clamped beams whose material properties follow an exponential through-thickness variation. Numerical results are given in both tabular and graphical forms. The effects of cracks, material property gradient, axial compression, and the speed of the moving load are discussed in detail in the parametric study.
UR - http://handle.uws.edu.au:8081/1959.7/555525
U2 - 10.1016/j.jsv.2007.10.034
DO - 10.1016/j.jsv.2007.10.034
M3 - Article
SN - 0022-460X
VL - 312
SP - 166
EP - 181
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
IS - 45323
ER -