含多处任意脱层层合梁屈曲的微分求积解法

Differential quadrature solutions for buckling of laminated beams with multiple arbitrary delaminations

基于铁木辛柯(Timoshenko)梁理论,建立了含任意脱层的复合梁模型,并利用微分求积DQ(Differential Quadrature)法,研究了含多处任意脱层层合梁的屈曲问题.该复合梁模型给出的含单脱层层合梁的临界屈曲载荷计算结果与相关文献结果一致.此外,以两端固支,含两个任意长度、任意深度贯穿脱层的层合梁为例,分析了脱层长度、深度以及相对位置对屈曲载荷的影响.为工程结构设计和分析提供了一种简单有效的方法,给出了一些有参考价值的结果.

Based on Timoshenko beam theory, a multi-beam model was presented for buckling analysis of laminated beams with arbitrary multiple delaminations, using differential quadrature （DQ） method. Comparisons showed high consistent between the critical buckling loads of the model with a single delamination and those coming from relative references. The investigations of the clamped beams were made to reveal the influences of the length, the depth and the positions of the delaminations on buckling loads. The configuration ineluding a beam with two across-the-width delaminations with arbitrary lengths and located at arbitrary depths was studied. DQ method provides a simple and effective method for the buckling analysis of laminated beams with arbitrary multiple across-the-width delaminations, and provides some valuable results for design of laminated structures.