基于能量有限元法的损伤板结构振动分析

Vibration analysis of damaged plates based on energy finite element method

工程结构在服役期间会出现各种形式的损伤,其结构动力学参数和能量传播形式也会随之产生变化,因此基于振动的结构损伤识别得到了广泛的研究并在工程运用中具有重要的意义。采用能量有限元法对含有损伤的平板和耦合板结构的振动特性进行分析,算例分析中分别采用能量有限元法和有限元法对平板的能量密度进行了计算和对比,验证了能量有限元法的准确性。在此基础上提出了基于能量密度变化和结构声强变化的两个损伤指标,并对损伤识别指标进行了可视化分析,随后通过算例对比进一步确定基于能量有限元得到的结构声强变化能够有效地识别板结构的损伤部位,并对含有损伤的耦合板的结构声强进行了研究,为今后将能量有限元法进一步应用到结构损伤识别中提供了基础。

While engineering structures served there will be cracks and other forms of damage, the structure dynamics parameters and the form of energy transmission will also change subsequently, so the research and identification of structural damage based on vibration is very important in engineering application. The energy finite element method is used to analyze vibration characteristics of plate and coupled plates contained damage, example calculated respectively by energy finite element method and the finite element method of plate energy density are compared to verify the accuracy of energy finite element method. Based on the proposed two damage identification index included energy density variation and structural acoustic intensity changes are studied on visualization, then by comparing them, it is further determined that the energy finite element structural intensity changes can effectively identify the damage position of the plate structure and applied in the coupled plate. For the future of energy finite element method is further applied to structural damage identification and provides the basic foundation.