耦合板结构的非结构零阶能量有限元分析

Unstructured zero-order energy finite element method for coupled plate structures

基于薄板高频振动时三种波场的能量流控制方程,用三角形网格划分板结构,推导了非结构零阶能量有限元的计算格式。并运用该方法计算了L型耦合板和简化的汽车外壳,得到各波场在空间上的能量密度结果。将计算结果与统计能量法和能量有限元进行对比,验证了其正确性。计算结果表明,频率很高时面内波能量往往能达到弯曲波能量水平,高频振动仿真时有必要同时考虑三种波场。

Based on the governing equations of energy flow analysis （EFA）,meshing plates with triangles,an unstructured zero-order energy finite element method （uEFEM0 ）was developed.A procedure used to calculate L-shape coupled plates and a simplified vehicle shell was presented considering both bending and in-plane wave fields.The proposed method was used to predict the distribution of energy response of plates.To confirm its validity,the energy finite element method （EFEM）and statistical energy analysis （SEA）were employed to simulate the same structures,and the results agreed well with those using the proposed method.It was shown that in order to simulate plates vibration within a higher frequency range,it is necessary to consider not only the bending wave field but also the in-plane wave field,since the in-plane wave energy level may be close to the bending wave energy level.