• Journal of the Korean Society of Fisheries and Ocean Technology
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• v.20 no.1
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• pp.60-64
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• 1984

To calculate the bending frequency of a beam with a crack, the author has developed the computor programe. With a simple example, numerical calculations and experiments were carried out. The results were as follows. 1) As the values of experiments have comparatively agreed with those of calculations, it was proved that the computor program could he applied to a beam with a crack. 2) In the case that the shape of crack is narrow and deep at the fixed edges, the value of experiment may not considerably correspond with that of calculation. 3) If the bending frequency was varied a few % due to a crack, it was turned out that the beam might be fatal on strength.

• Transactions of the Korean Society of Mechanical Engineers
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• v.17 no.7 s.94
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• pp.1719-1730
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• 1993

This paper presents the theoretical natural frequencies of out-of-plane deformable ring based on the variables such as out-of-plane deflection, torsional rotation and shear rotation. Based on the same variables, a finite element eigen analysis is carried out by using the $C^0$-continuous, isoparametric element which has three nodes per element and three degrees-of-freedom at each node. Numerical experiments are peformed to find the integration scheme which produces accurate natural frequencies, natural modes and correct rigid body motion. The uniformly reduced integration and the selective reduced integration give more accurate numerical frequencies than the uniformly full integration, but the uniformly reduced integration produces incorrect rigid body motion while selective reduced integration does correct one. Therefore, the ring element based on the three variables which employes selective reduced integration is recommended to avoid spurious modes, to alleviate the error due to shear locking and to produce correct rigid body motion, simultaneously.