激励特性对L型板振动功率流的影响

  目的  耦合双层板结构是船体中的常见结构, 研究其结构振动及其功率流特性具有重要意义。  方法  基于薄板理论, 采用波动法建立有限尺寸双层板的振动模型, 在结构耦合及激励处离散, 由连续条件将各离散板的运动方程组装。运用上述方法, 验证波动法解析解与有限元法数值解的准确性。在此基础上, 分析激励力角度、连接件角度及其厚度对振动功率流的影响。  结果  研究结果表明:弯曲振动功率流和面内振动功率流均随着频率的增加而增大, 而面内振动功率流在低频段远小于弯曲振动功率流, 随着频率的增加, 二者逐渐靠近；弯曲振动功率流在全频段随着激励力角度的增加而增大, 面内振动功率流在高频段随之减小；随着连接件的倾角和厚度的增大, 都会使接收板的振动功率流降低。  结论  研究结果对于双层板结构的设计及应用具有一定的参考价值。

Power transmission in L-shaped plates including flexural and in-plane vibration

  Objectives  The coupled double-layer plate structure is common in the hull design, which is of greater importance to investigate its vibration and power flow characteristics.  Methods  Based on the thin plate theory, the vibration model of finite-size double-layer plate was established by wave method. It was discrete in structure coupling and excitation, and the motion equations of discrete plates were assembled by continuous conditions. The analytical solution of the wave method and the numerical solution of the finite element method was compared to verify the accuracy of the method. Based on this, the influence of the excitation angle and the connector angle and thickness on vibration power flow was analyzed.  Results  The results show that both the bending vibration power flow and the in-plane vibration power flow increase with the increase of frequency, and the in-plane vibration power flow is much smaller than the bending vibration power flow in the low frequency band, but they approach gradually as the frequency increases; the bending vibration power flow increases with the excitation angle in the whole frequency band, and the in-plane vibration power flow decreases with the excitation angle in the high frequency band; the greater the inclination and thickness of the connector, the lower the vibration power flow of the receiving plate.  Conclusions  The study in this paper has certain reference value for the design and application of double-layer plate structure.