振动能量流的计算方法研究

    Methods for calculating vibration power flow

    • 摘要: 振动能量流法是研究柔性结构振动的重要方法,能量流的计算是其中的关键步骤,传统的基于模态叠加的导纳能量流计算法计算精度不高,处理复杂结构时计算过程复杂,该文提出了基于波动理论的导纳能量流计算方法和基于有限元分析的能量流计算方法。通过对一具体模型计算对比,表明波动计算法精度最高,模态叠加法存在模态截断误差,而有限元法在划分网格细时也能保证计算精度。有限元法是一种适合于各种复杂结构的分析方法,值得在工程上推广。

       

      Abstract: Vibration power flow method is the dominant analysis method for the vibration of flexible structure. In the power flow analysis the key problem is how to calculate the vibration power flow. The mobility-based method was traditionally used in vibration power flow calculation. But both its precision and suitability for complicated structure are not very good. Two other methods, which are the vibration power flow calculation method based on wave analysis and the vibration power flow calculation method based on finite element analysis, were presented in this paper. A calculation example was given. Results prove that the precision of the traveling wave method is very high, and the precision of the finite element method is good if the element is small enough. The finite element method is applicable to complex structure, so it has great application value in engineering.

       

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