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Vibration analysis of a Timoshenko beam subjected to a travelling mass
The dynamic behavior of a Timoshenko beam carrying a partially distributed moving mass has been analyzed. The non-dimensionalized equations of motion were transformed into equivalent finite difference ones, and then solved. Results have been presented not only for the deflection, but also for the slope, shearing force and bending moment for all instants of time and at selected space nodes. Hence, all the components composing the dynamic response of the system have been obtained. The procedure has imposed no restricting assumptions on the boundary conditions of the beam. The computations and results for the case of simply supported beams are found to be in good agreement with those obtained for the special case of negligible shear deformation and rotary inertia, and with a short length of load distribution. As a continuation, the system response has been obtained by ignoring either the rotary inertia or the shear deformation, or both of them. It was observed that the effect of shear deformation is usually more important than that of rotary inertia. Furthermore, the total influence of these factors was observed to be about 3,6 %, and these effects are in the direction of increasing the maximum beam deflection. As a concluding remark, it was observed that by increasing the length of the load distribution (while conserving the total amount of the load) a decrease in the maximum dynamic deflection of the beam is obtained which is essentially the result of a decrease in the time during which the total load acts on the beam.
Vibration analysis of a Timoshenko beam subjected to a travelling mass
The dynamic behavior of a Timoshenko beam carrying a partially distributed moving mass has been analyzed. The non-dimensionalized equations of motion were transformed into equivalent finite difference ones, and then solved. Results have been presented not only for the deflection, but also for the slope, shearing force and bending moment for all instants of time and at selected space nodes. Hence, all the components composing the dynamic response of the system have been obtained. The procedure has imposed no restricting assumptions on the boundary conditions of the beam. The computations and results for the case of simply supported beams are found to be in good agreement with those obtained for the special case of negligible shear deformation and rotary inertia, and with a short length of load distribution. As a continuation, the system response has been obtained by ignoring either the rotary inertia or the shear deformation, or both of them. It was observed that the effect of shear deformation is usually more important than that of rotary inertia. Furthermore, the total influence of these factors was observed to be about 3,6 %, and these effects are in the direction of increasing the maximum beam deflection. As a concluding remark, it was observed that by increasing the length of the load distribution (while conserving the total amount of the load) a decrease in the maximum dynamic deflection of the beam is obtained which is essentially the result of a decrease in the time during which the total load acts on the beam.
Vibration analysis of a Timoshenko beam subjected to a travelling mass
Schwingungsverhalten eines Timoshenko Balkens unter einer verschiebbaren Last
Esmailzadeh, E. (Autor:in) / Ghorashi, M. (Autor:in)
Journal of Sound and Vibration ; 199 ; 615-628
1997
14 Seiten, 10 Bilder, 18 Quellen
Aufsatz (Zeitschrift)
Englisch
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