基于统计能量法的高频集中载荷识别的理论与试验研究

Theoretical and experimental studies on identifications of high frequency concentrated loads based on statistical energy analysis method

提出了基于统计能量分析理论的结构高频载荷识别方法,根据载荷位置是否确定以及子系统响应的完备性,讨论了3种情况下多子系统受载结构的输入功率识别方法,导出了识别的一般理论公式。给出了常值与线性假设条件下,由子系统输入功率到载荷功率谱的反演理论方法。对一个三板串联耦合系统进行了统计能量分析建模与集中载荷识别试验研究。结果表明,采用文中的载荷识别方法,在3种情况下均能够较好地识别出多个受激子系统的载荷输入功率,基于常值假设下反演得到的载荷功率谱能够较好地描述实测功率谱的变化趋势。

The identification method based on statistical energy analysis theory is proposed for high frequency loads. According to the completeness of loads location information and subsystem response set, the input power identification problems of struc- tures subjected to multi excitations are divided into three cases and the corresponding identification schemes are presented. The inversion approaches from input power to load power spectrums are described as well under the assumptions of constant value and linear variation within each analytical frequency band on load power spectrums. The statistical energy analysis modeling and concentrated load identification of a three-plates connected in series experimental system are then conducted. The results show that the input power of excited subsystems can be identified accurately in three cases employing the presented identifica- tion method. The computed load power spectrums through inversion have good agreements with the measured ones for con- stant value assumption.