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In this paper, the vibration behavior of the cracked cantilever during the nanomachining process is studied.
Dynamic behavior of the cracked beam subject to moving load is analyzed using mode superposition.
First, a single degree of freedom model is developed to characterize the nonlinear behavior of the cracked beam.
The new breathing functions give more accurate results for the dynamic behavior of the cracked rotor system for a wide range of the crack depths.
Obtained results are valuable for predicting fracture behavior of the cracked steering wheel and can be taken as a reference for design and exploitation process of such component.
In the uncracked part the behavior can be considered linear elastic (superscript LE, in the following), while the behavior of the cracked part of the cylinder is non linear (superscript NL, in the following).
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Numerical results are presented to highlight the influences of crack location, crack depth, material property gradient, beam slenderness ratio, compressive load, and boundary conditions on both the free vibration and parametric instability behaviors of the cracked functionally graded beams.
Therefore it is important to know some important DEs, to predict the behavior of the crack.
In most representations, the behavior of the crack and the fracture process zone is idealized within the geometric relations imposed by geometry and loading (Hillerborg et al. 1976; ACI 544.8R 2016).
The model described here will be used in the future to also describe the probabilistic behavior of the crack growth.
A wide range of T-stress and KI levels are considered in the finite element analysis with the purpose of exploring the behavior of the crack opening stress.
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