薄板结构的振动功率流特性分析

The Vibration Power Flow Performance of Thin Plates

对不同边界条件下的薄板结构的振动功率流特性进行了分析研究。基于结构声强结合薄板有限元模型,推导了薄板结构从时域变换到频域内的振动功率流公式;接着采用经典板理论结合有限元法获得薄板结构的振动功率流,同时得到了薄板结构的功率流-频率曲线图以及功率流矢量场分布图。由数值分析结果可知:功率流矢量场分布图能反映振源的位置以及振动能量的数值与分布特性,结构各阶的固有频率与振动功率流的峰值处的频率一一对应。

The vibration power flow characteristics of the thin plate structures under different boundary conditions are studied in this paper. The vibration power flow equation of thin plate structure, which is from time domain to frequency domain, can be obtained based on the concept of structural intensity and the finite element model of thin plate structure. Moreover, the vibration power flow of thin plate structure is obtained by using the classical plate theory combined with the finite element method, and the corresponding power flow frequency curve and power flow vector field distribution are also analyzed. According to the numerical analysis results, the position of vibration source and distribution character of vibration energy can be known by power flow vector field distribution, and the each natural frequency of structure are correspond to the frequency of the peak of vibration power flow of the frequency.