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A platform for research: civil engineering, architecture and urbanism
Forced vibrations of a cantilever Timoshenko beam with a closing crack
The paper presents an analysis of bending harmonic forced vibrations of a cantilevered Timoshenko beam with a transverse one-edge non-propagating closing crack. The finite element method is used for modelling of the analysed beam. Undamaged parts of the beam are modelled by Timoshenko-type beam finite elements with two nodes and two degrees of freedom at a node (i.e. transverse displacement and rotation). A cracked region of the beam is represented by a special beam finite element with a crack. It is assumed that during vibrations of the beam the crack is fully open or fully closed ('breathing crack model'). The equation of motion is solved by the harmonic balance method. The model that has been formulated is applied in order to analyse the influence of the depth and position of the crack as well as the viscous damping ratio on the steady state response of the beam.
Forced vibrations of a cantilever Timoshenko beam with a closing crack
The paper presents an analysis of bending harmonic forced vibrations of a cantilevered Timoshenko beam with a transverse one-edge non-propagating closing crack. The finite element method is used for modelling of the analysed beam. Undamaged parts of the beam are modelled by Timoshenko-type beam finite elements with two nodes and two degrees of freedom at a node (i.e. transverse displacement and rotation). A cracked region of the beam is represented by a special beam finite element with a crack. It is assumed that during vibrations of the beam the crack is fully open or fully closed ('breathing crack model'). The equation of motion is solved by the harmonic balance method. The model that has been formulated is applied in order to analyse the influence of the depth and position of the crack as well as the viscous damping ratio on the steady state response of the beam.
Forced vibrations of a cantilever Timoshenko beam with a closing crack
Erzwungene Vibration eines Timoshenko Freiträgers mit einem abschließenden Riss
Krawczuk, M. (author) / Ostachowicz, W. (author)
ISMA, ISMA, Tools for Noise and Vibration Analysis, 19 ; 3 ; 1067-1078
1994
12 Seiten, 6 Bilder, 29 Quellen
Conference paper
English
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