变角度纤维层合板的弯曲问题研究  

BENDING ANALYSIS OF LAMINATES WITH VARIABLE ANGLE TOWS

作　　者：陈晓东 聂国隽[1] 

机构地区：[1]同济大学航空航天与力学学院,上海200092

出　　处：《工程力学》2017年第9期248-256,共9页Engineering Mechanics

基　　金：国家自然科学基金项目(11072177;11372225)

摘　　要：变角度纤维层合板是一种新型的变刚度结构,该文将对其弯曲问题进行研究。假定每层的纤维方向角沿板的长度方向按照线性变化,基于经典层合板理论,导出了变角度纤维层合板弯曲问题的控制方程,采用有限元线法进行求解,获得了任意边界条件下变角度纤维层合板弯曲问题的数值解。与ABAQUS有限元计算结果的对比,验证了该文采用有限元线法的正确性。通过数值算例分析了边界条件、铺层方式、纤维方向角以及长宽比等参数的变化对变角度纤维层合板弯曲性能的影响。研究结果可为变角度纤维层合板的设计提供一定的参考。The composite laminate with variable angle tows （VAT） is a new kind of variable stiffness structure and its bending problem is studied in this paper. By assuming that the fiber angle of each ply varies linearly along the length of the laminate, the governing equation of the bending problem is derived based on the classical plate theory. Finite Element Method of Lines （FEMOL） is employed to analyze the bending problem of the laminate with variable angle tows under arbitrary boundary conditions. Results are compared with those obtained by ABAQUS so that the accuracy of FEMOL is validated. Furthermore, the effect of boundary conditions, ply stacking sequences, fiber orientation and length-to-width ratio on the bending properties of laminate with variable angle tows is also discussed. The results are helpful for the design of this new kind of variable stiffness structure.

关 键 词：变角度纤维 层合板 有限元线法 弯曲 挠度 

分 类 号：O34[理学—固体力学] TB33[理学—力学]