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Structural Ritz-Based Simple-Polynomial Nonlinear Equivalent Plate Approach: An Assessment

机译：基于结构Ritz的简单多项式非线性等效板方法：一种评估

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摘要

The linear equivalent plate approach developed and used for the aeroelastic optimization of composite wings at the conceptual design stage is a Ritz approach based on simple polynomial functions as generalized coordinates. Generalization to the case of geometrically nonlinear structural behavior is presented here in an effort to assess accuracy and performance of the method in the nonlinear static and linear dynamic cases. Using the von Karman plate formulation for moderately large deformations, three-dimensional assemblies of thin-plate segments are modeled using a penalty function approach to impose boundary conditions and compatibility of motion between adjacent segments. Closed-form expressions for mass and stiffness terms (linear and nonlinear) make numerical integration unnecessary. Numerical results obtained by the present method for a variety of plate structures, in both static and dynamic cases, show good correlation with published results and results by other computer codes. Results by the present formulation are also compared with large-deformation results. Limits of applicability, in terms of the range of deformations still captured accurately by the equivalent plate method, are studied in all test cases.
机译：在概念设计阶段开发并用于复合材料机翼气动弹性优化的线性等效板法是基于简单多项式函数作为广义坐标的Ritz方法。本文介绍了几何非线性结构行为情况的一般情况，以评估该方法在非线性静态和线性动态情况下的准确性和性能。使用von Karman板公式进行中等程度的变形，使用惩罚函数方法对薄板节段的三维装配建模，以施加边界条件和相邻节段之间运动的兼容性。质量和刚度项（线性和非线性）的闭式表达式使数值积分变得不必要。通过本方法获得的各种板结构的数值结果，在静态和动态情况下，都与已发布的结果和其他计算机代码的结果具有良好的相关性。本配方的结果也与大变形结果进行了比较。在所有测试案例中，都对等效极限板法仍能准确捕获变形范围的适用性进行了研究。

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  • 来源
    《Journal of Aircraft》 |2006年第6期|p.1685-1697|共13页
  • 作者

    Luciano Demasi; Eli Livne;

  • 作者单位

    University of Washington, Seattle, Washington 98195-2400;

  • 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 航空;
  • 关键词

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