两侧受液时悬臂梁的自由振动分析

THE ANALYSIS OF FREE VIBRATION OF CANTILEVER BEAM ACTED BY LIQUID ON TWO SIDES

  • 摘要: 本文研究悬臂梁在两侧受有液体作用时的横向自由振动问题,给出了两侧液深不等时悬臂梁自由振动的振型函数和固有频率的精确计算公式,结果可由计算机解出。分析表明,液体对悬臂梁自由振动的影响等效一附着于梁上的广义分布质量。

     

    Abstract: This paper studies the problem on free vibration of cantilever beam acted by liquid on two sides. The exact calculating formulae of mode shape functions and natural frequencies of free vibration of cantilever beam are given when the heights of liquids on two sides of cantilever beam are unequal. The results can be abtained by the use of computer. The analysis shows that the effect of liquid on free vibration of cantilever beam is equivelent to a generalized distributive mass attached on the beam.

     

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