基于一种简化剪切变形理论的层合梁自由振动分析

发布时间：2018-07-03 08:09

本文选题：简化剪切变形理论 + 层间连续条件　；参考：《应用力学学报》2017年06期

【摘要】：复合材料层合梁在航天航空、核工程、高速列车、建筑等领域有着重要的应用,其振动特性得到了广泛关注。本文针对复合材料层合梁结构,引入了一种新的简化剪切变形理论;同时考虑层间连续性条件,结合Ritz法求解了其振动频率,并与已有文献结果进行了对比。结果表明:两者吻合较好,误差基本保持在1%左右,验证了理论模型的有效性。基于该理论模型,重点研究了铺层方式、纤维铺设角度等关键参数对层合梁振动特性的影响。研究结果表明:对称铺设层合梁的一阶固有频率均高于非对称铺设层合梁的一阶固有频率,且随着铺设层数的增加,其振动频率会趋于稳定值;对比不同铺设角度的层合梁,纤维铺设角度为90°的层合梁的一阶固有频率最低。
[Abstract]:Composite laminated beams have been widely used in aerospace, nuclear engineering, high-speed trains, buildings and so on. In this paper, a new simplified shear deformation theory is introduced for composite laminated beam structures, and the vibration frequency is calculated by using Ritz method and considering the continuity condition between layers, and the results are compared with those obtained in previous literatures. The results show that the two models are in good agreement, and the error is about 1%. The validity of the theoretical model is verified. Based on the theoretical model, the effects of the key parameters such as laying mode and fiber laying angle on the vibration characteristics of laminated beams are studied. The results show that the first order natural frequencies of symmetric laminated beams are higher than those of asymmetric laminated beams, and the vibration frequencies tend to be stable with the increase of the number of laying layers. The first order natural frequency of laminated beams with 90 掳fiber laying angle is the lowest.
【作者单位】：西安交通大学机械结构强度与振动国家重点实验室;西安交通大学机械工程学院;
【分类号】：O327

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