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Equivalent model of thin-walled orthotropic composite plates with straight segments using variational asymptotic method

机译:使用变分渐近法用直线段薄壁正交复合板的等效模型

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Accurate and effective prediction of the static and dynamic behavior of thin-walled orthotropic composite plates (TW-OCP) is necessary in the preliminary design. Considering that the thickness of each segment of TW-OCP is relatively thin, the constitutive modeling of unit cell is carried out to obtain the constitutive relations by using variational asymptotic method, which can be used as effective properties of the two-dimensional equivalent plate model (2D-EPM). Furthermore, constraints are applied at the intersections of each segment to ensure the continuity of displacement and slope. Finally, the effects of different structural parameters on the equivalent stiffness and anisotropy are discussed, such as the layup configuration of the panel, the inclination angle and thickness of stiffeners, and the period length of unit cell. The results show that compared with the results from three-dimensional finite element model (3D-FEM), the 2D-EPM not only has high accuracy, but also greatly reduces the degree of freedom, which has a high computational efficiency. Geometric shape (mainly determined by the inclination angle of longitudinal stiffeners) is one of the main factors that determine the anisotropy and equivalent stiffness of TW-OCP. The established equivalent model provides a simple, quick, and comprehensive way for the design and optimization of TW-OCP.
机译:在初步设计中需要精确和有效地预测薄壁正交复合板(TW-OCP)的静态和动态行为。考虑到每个TW-OCP的每个段的厚度相对较薄,通过使用变分性渐近方法来进行单元电池的本构体型建模,以获得分析性渐近方法,该方法可用作二维等效板模型的有效性质(2D-EPM)。此外,限制在每个段的交叉点处应用,以确保位移和斜率的连续性。最后,讨论了不同结构参数对等效刚度和各向异性的影响,例如面板的叠加配置,加强件的倾斜角度和厚度,以及单元电池的周期长度。结果表明,与三维有限元模型(3D-FEM)的结果相比,2D-EPM不仅具有高精度,而且大大降低了具有高计算效率的自由度。几何形状(主要由纵向加强件的倾斜角度决定)是确定TW-OCP的各向异性和等效刚度的主要因素之一。已建立的等效模型为TW-OCP的设计和优化提供了一种简单,快速,全面的方式。

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