横向压力下加劲复合偏斜圆柱壳的几何非线性弯曲

Ashish Giri, Kaustav Bakshi
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摘要

有关层压复合材料斜壳相对性能的文献综述证实,采用几何非线性方法对中等厚度的加劲层压复合材料斜圆柱板的弯曲性能进行研究的报告并不多见。本文旨在弥补这一不足,并提出了一种有限元代码,将八编码双曲面元素与薄壳的修正桑德斯第一近似理论和 von Kármán 型非线性应变相结合。通过对基准问题的求解,验证了所提出的倾斜壳体几何非线性弯曲公式的正确性。报告了不同倾斜角、层数、堆叠顺序、曲率半径、平面尺寸比以及加强筋属性(如方向、数量和偏心位置)下的挠度、力和力矩结果。对结果进行了批判性讨论,结果表明,使用 0°/90°/0° 层压板制造的具有自由弯曲边缘和夹紧直边的壳体性能最佳。nx = 7、ny = 7 的双轴加强筋显示出最小的挠度和应力结果。倾斜壳体的挠度更大,因此在工业实践中必须避免。
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Geometrically nonlinear bending of stiffened composite skewed cylindrical shells under transverse pressure
The literature review on relative performances of laminated composite skewed shells confirms that research reports on bending performances of moderately thin, stiffened, laminated composite skewed cylindrical panels, using the geometrically nonlinear approach, are not available. This paper aims to fill that deficiency and proposes a finite element code combining eight-noded, doubly curved elements with modified Sanders’ first approximation theory for thin shells and von Kármán-type nonlinear strains. Correctness of the proposed geometrically nonlinear bending formulation for skewed shells are verified through solutions of benchmark problems. The deflections, force, and moment resultants are reported for different skew angles, laminations, stacking sequences, radius of curvature, plan dimension ratios, and stiffener properties like orientations, numbers, and eccentric positions. The results are discussed critically which reveals that shells having curved edges free and straight edges clamped fabricated using 0°/90°/0° laminate offer the best performances. The biaxial stiffeners, nx = 7, ny = 7, show the minimum deflections and stress resultants. The skewed shells offer greater deflections and hence, must be avoided in industrial practices.
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