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QUALITATIVE PROPERTIES OF FREQUENCY SPECTRUM AND MODES OF ARBITRARY SUPPORTED BEAMS IN VIBRATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(5): 540-547. DOI: 10.6052/0459-1879-1997-5-1995-264
Citation: QUALITATIVE PROPERTIES OF FREQUENCY SPECTRUM AND MODES OF ARBITRARY SUPPORTED BEAMS IN VIBRATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(5): 540-547. DOI: 10.6052/0459-1879-1997-5-1995-264
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QUALITATIVE PROPERTIES OF FREQUENCY SPECTRUM AND MODES OF ARBITRARY SUPPORTED BEAMS IN VIBRATION

  • 安徽安庆师范学院物理与电气工程学院,246011

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  • Some important qualitative properties of the frequency spectra and modes for Euler beams with arbitrary supports are determined. The case of supports free-pinned, free-sliding, free-free and sliding-slinding are considered, the rigid-body modes occur for beams with such supports. In addition, the sufficient and necessary conditions of a mode of the beams are obtained.
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