T-2-1-2 DYNAMIC ANALYSIS OF PLANAR BEAMS MOVING ALONG THE AXIAL DIRECTION

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概要

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• Recently, dynamic analysis of the vibration problems of flexible material moving along the axial direction, such as wire or plate in the mill, has been required. For this purpose, the dynamic analysis of planar beams moving along the axial direction is developed in this study. In the former studies, for example, a model in which part of the beam is composed of small rigid bodies and springs is proposed. However, it is necessary to use many elements for obtaining an accurate vibration mode in this model. On the other hand, the beams are discretized using the FEM in this paper. Also, the effects of the motion along the axial direction, large displacements and geometricla nonlinearity are taken into account in this model. Therefore it is possible to obtain accurate results using this model with a small number of elements. Moreover, this method is adapted into the two boundary conditions in this study. At first, in the case of fixed-fixed boundary condition, the phenomena whereby the rigidity of the beams becomes very low near the critical speed, is presented using this model. The accuracy of this model is proved by showing that the critical speed obtained from this model is very close to the one obtained from the strict solution result. Secondly, in the case of fixed-free boundary condition, the dynamic response of the moving beam is calculated. This analysis shows the phenomena whereby the beam vibrates violently with the axial direction movement. This phenomena is called the spaghetti problem. Moreover, the calculated result is compared with the model in the former study. When the number of elements becomes less than 20,the calculation result using the model of former study may not be accurate because it treats the effect of axial direction movement in a discontinuous way. On the other hand, the calculation result using this model is accurate when the number of elements is only 3. This is the reason why this model treats the effect of axial direction movement in a continuous way. Finally, it is approved that the model proposed in this study is accurate and effective to treat the dynamics of flexible beam moving along the axial direction.

• 一般社団法人日本機械学会の論文

著者

• Sugano Naoki

  Mechanical Engineering Research Laboratory Kobe Steel

• Sugano Naoki

  Mechanical Engineering Research Laboratory Kobe Steel Ltd.

• IMANISHI Etsujiro

  Mechanical Engineering Research Laboratory, Kobe Steel, Ltd.

• Imanishi Etsujiro

  Mechanical Engineering Research Laboratory Kobe Steel

• Imanishi Etsujiro

  Mechanical Engineering Research Laboratory Kobe Steel Ltd.

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