采用波动法研究有限尺寸加肋L型板结构的振动特性

本文采用波动方法研究有限尺寸加肋L型板结构的振动及其抑制问题。将有限尺寸方钢平板处理成平板结构弯曲和面内运动与方钢结构的弯扭运动和轴向运动的耦合连续模型,利用波动方法分析有限尺寸加肋L型板结构任意位置的动力学响应。数值结果表明,与有限元方法相比,波动法不仅可以准确地计算有限尺寸方钢平板结构的低频振动响应,而且能有效地计算其中高频振动响应。方钢布设在两板连接处,提高其抗扭刚度可提高减振效果;方钢布设于源板沿长度方向的三分之二位置处或靠近连接处的接受板上,具有较优的减振效果。

Research on vibration properties of finite rib-stiffened L-shaped plate using wave method

The vibration and suppression of the finite L-shaped plate with square steel is studied by using wave method. The finite rib-stiffened L-shaped plate is modeled as the coupling systems between the flexural and in-plane motion for the plate and the flexural, torsional and axis motions for the square steel. The vibration response at any position of the coupling structure can be obtained by wave method. Numerical results show that comparing to finite element method (FEM), not only the low frequency but also the medium-high frequency vibration response of the finite plate with square steel can be effectively calculated by wave method. The suppression effect can be increased with the torsional stiffness of the square steel as the steel is located at the junction of the L-shaped plate. And optimal suppression effect can be obtained as the steel is located at two third the length of the source plate or near the junction on the received plate.