Department of Mechanical Engineering,Sharif University of Technology
Abstract
In this paper, a continuous model for
exural vibration of beams with an edge crack
perpendicular to the neutral plane has been developed. The model assumes that the displacement eld
is a superposition of the classical Euler-Bernoulli beam's displacement and of a displacement due to
the crack. The additional displacement is assumed to be a product between a function of time and an
exponential function of space. The unknown functions and parameters are determined based on the zero
stress conditions at the crack faces and the concept of J-integral from fracture mechanics. The governing
equation of motion for the beam has been obtained using the Hamilton principle and solved using a modi ed
Galerkin method. The results have been compared with nite element results and an excellent agreement
is observed.
Meghdari, A. , Behzad, M. and Ebrahimi, A. (2010). A Continuous Vibration Theory for Beams with a Vertical Edge Crack. Scientia Iranica, 17(3), -.
MLA
Meghdari, A. , , Behzad, M. , and Ebrahimi, A. . "A Continuous Vibration Theory for Beams with a Vertical Edge Crack", Scientia Iranica, 17, 3, 2010, -.
HARVARD
Meghdari, A., Behzad, M., Ebrahimi, A. (2010). 'A Continuous Vibration Theory for Beams with a Vertical Edge Crack', Scientia Iranica, 17(3), pp. -.
CHICAGO
A. Meghdari , M. Behzad and A. Ebrahimi, "A Continuous Vibration Theory for Beams with a Vertical Edge Crack," Scientia Iranica, 17 3 (2010): -,
VANCOUVER
Meghdari, A., Behzad, M., Ebrahimi, A. A Continuous Vibration Theory for Beams with a Vertical Edge Crack. Scientia Iranica, 2010; 17(3): -.
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