The closed form general solutions of 2-D curved laminated beams of variable curvatures
The closed form general solutions of 2-D curved laminated beams of variable curvatures
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DOI：
10.1016/j.compstruct.2006.02.027
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发表时间：
2007-08
影响因子：
6.3
通讯作者：
K. Lin;C. Hsieh
中科院分区：
文献类型：
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作者：
K. Lin;C. Hsieh
导出了变曲率面内静力层合曲梁的封闭形式通解。轴力、剪力、径向位移和切向位移均解耦，并以切向坡角的调和函数表示。层合曲梁关于x轴和y轴的一阶和二阶矩被定义为基本几何性质。弯曲梁可以是任何曲线。给出了非圆层合梁、环的封闭解。椭圆，抛物线，悬链线，摆线，指数螺旋层压曲梁的应用。研究了层合圆环在集中载荷和分布载荷作用下的力学行为。本文研究了（0/θ）和（θ/−θ）两种层合板。分析了高宽比、厚度比、正交各向异性比和叠层顺序对层合环的影响。将各向同性曲梁的计算结果与已有的结果进行了比较。结果是一致的。
The closed form general solutions of in-plane static laminated curved beams of variable curvatures are derived. All the quantities of axial force, shear force, radial and tangential displacements are decoupled and expressed as harmonic functions in terms of angle of tangent slope. The first and second moments of laminated curved beams with respect to x- and y-axes are defined as fundamental geometric properties. The curved beams can be any curve. Some closed form solutions of non-circular laminated beams, rings are presented. Applications of elliptic, parabola, catenary, cycloid, and exponential spiral laminated curved beams are shown. The laminated circular ring under point load and distributed load are studied as well. Two kinds of laminate (0/θ) and (θ/−θ) are investigated in this paper. Effects of aspect ratio, thickness ratios, orthotropy ratios and stacking sequence on the laminated ring are presented. Results of isotropic curved beams are compared with existed solutions. The results are consistent.