摘要
能量有限元方法因其适用频率范围广,可得到结构响应的空间分布等优点得到了广泛关注。本文研究了使用能量有限元方法对多板耦合结构进行动力学分析。首先使用有限元方法对板的能量密度控制方程进行求解,并基于行波法对多板耦合结构在边界处的能量传递特性进行研究,基于能量传递系数建立了耦合边界处的能量传递关系,进一步地得到了多板耦合结构的总体有限元方程,所建立的分析模型可同时对多板耦合结构弯曲波以及面内波的能量密度进行分析预测。对工程中类似结构的中高频动力学分析预测具有一定意义。
Energy Finite Element Method(EFEM) has been attracting much attention due to its advantages of broad applicable frequency and the ability to provide the spatially variations of response. The dynamic prediction of multi-plates structures are investigated by Energy Finite Element Method. The finite element method is utilized to solve the energy density governing equation and the traveling wave method is performed to obtain the energy transfer coefficients. The energy transfer relations and the global finite element equations are obtained based on the energy transfer coefficients. The model established is capable of analyzing flexural wave and in-plane wave simultaneously and is meaningful for the analogous structures in engineering.
引文
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