具脱层复合材料层合梁-板的自由振动分析

Comparative analysis on composite laminated beam and plate with delamination

基于经典弹性理论,建立了含脱层复合材料层合梁的运动控制方程,研究了脱层复合材料层合梁自由振动频率和振动模态。分析中,对脱层梁结构采用分区处理,同时结合边界条件、内力平衡条件以及位移连续条件,建立了梁模态分析的特征方程。最后利用具体算例,探讨了具脱层梁不同脱层参数、铺设角度下的一、二阶固有频率,并对比分析了不同的脱层深度、脱层长度和脱层位置以及不同的铺设材料对复合材料层合梁模态的影响。

Based on the classical elasticity nated beam with delamination are derived modes of composite laminated beam with theory, the motion equations of composite lami- , and the free vibration frequencies and vibration delamination are also analyzed. The delamination beam is partitioned and processed to facilitate the research. And the boundary conditions, the internal forces and displacement equilibrium conditions are combined to establish equations of beams＇ modal analysis. Combined with specific examples, the first and second order natural frequencies of beam with delamination under different laying angles are analyzed, as well as the impact of delamination position with different depths and lengths on modal analysis and different materials of composite laminated beam.