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The nonlinear prebuckling response of short thin-walled laminated composite cylinders in bending

机译：薄壁薄壁复合材料圆柱体弯曲时的非线性预屈曲响应

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摘要

The geometrically nonlinear Donnell shell theory is used to determine the prebuckling response of short thin-walled laminated circular cylinders in bending. Bending is induced by a known rotation of the clamped cylinder ends. The equilibrium equations and strain-displacement equations are manipulated so the governing partial differential equations are in first-order form. Using the separation of variables technique, along with a harmonic expansion in the circumferential direction, these first-order partial differential equations are converted to first-order ordinary differential equations. These equations are solved numerically using a finite-difference procedure and prebuckling responses are computed for cylinders with a radius: thickness ratio of 160 and length: radius ratios of 2 and 5. The range of validity of the prebuckling solution is limited by the critical, or buckling, end rotation, which is estimated by the simple classical method. The use of the classical estimate is. justified by comparing it with more rigorous approaches. Three laminated composite cylinders are considered: an axially stiff [-+ 45/0_2]_s layup, a circumferentially stiff [-+ 45/90_2]_s layup, and a quasi-isotropic [-+ 45/0/90]_s layup. The displacement response is discussed for each cylinder as a function of axial and circumferential location, with particular emphasis on the character of the radial displacement and the boundary layer associated with the nonlinear response. Comparisons with a geometrically linear analysis are made. An analog with the axial compression problem is developed and valuable information about boundary layer length as a function of laminate material properties and applied end rotation is presented. In addition, the role of the laminate Poisson's ratio v_(xθ) on the displacement behavior is discussed.
机译：几何非线性Donnell壳理论用于确定短薄壁层压圆柱体在弯曲时的预屈曲响应。弯曲是由夹紧的气缸端部的已知旋转引起的。对平衡方程和应变位移方程进行了处理，使支配的偏微分方程处于一阶形式。使用变量分离技术，以及沿周向的谐波展开，这些一阶偏微分方程被转换为一阶常微分方程。这些方程式是使用有限差分程序进行数值求解的，并且针对半径为：厚度比为160，长度与半径比为2和5的圆柱体，计算了预屈曲响应。预屈曲解的有效性范围受临界值，或屈曲，端旋转，这是通过简单的经典方法估算的。经典估计的使用是。通过与更严格的方法进行比较来证明其合理性。考虑了三个层压复合圆柱体：轴向刚度[-+ 45 / 0_2] _s叠层，圆周刚度[-+ 45 / 90_2] _s叠层和准各向同性[-+ 45/0/90] _s叠层。讨论了每个圆柱体的位移响应与轴向和圆周位置的关系，特别强调了径向位移的特性以及与非线性响应相关的边界层。与几何线性分析进行比较。开发了具有轴向压缩问题的类似物，并介绍了有关边界层长度的重要信息，这些边界层长度是层压材料性能和施加的端部旋转的函数。此外，还讨论了层积泊松比v_（xθ）对位移行为的作用。

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  • 来源
    《Composite Structures》 |1996年第3期|p.309-324|共16页
  • 作者

    H. P. Fuchs; M. W. Hyer;

  • 作者单位

    Body Engineering & Integration Department, General Motors Research & Development Center, Warren, MI 48090-9055, USA;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 工程材料学;
  • 关键词

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