This paper aims to study the buckling and bending analysis of curvilinearly stiffened plates by using an isogeometric approach. First-order shear deformation theory is adopted to model the behaviors of stiffened plates. Based on the employed approach, it is easy to model stiffeners with different sizes and layouts, since the degrees of freedom for the whole structure are integrated into those of the original plate leading to a relatively low computational cost. The performance of the proposed approach is validated via a couple of benchmark problems available in the literature, and the effect of different parameters including bending stiffness, relative mass, cross section, and shape of stiffener on the buckling and bending behavior of curvilinearly stiffened plates is investigated. The results show the relative high accuracy of this method using fewer degrees of freedom for stiffeners, which is beneficial in optimization procedures.

中文翻译：

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使用等几何方法对曲线加劲板进行同步建模和结构分析

本文旨在使用等几何方法研究曲线加劲板的屈曲和弯曲分析。采用一阶剪切变形理论来模拟加筋板的行为。基于所采用的方法，很容易对具有不同尺寸和布局的加强筋进行建模，因为整个结构的自由度被整合到原始板的自由度中，从而导致相对较低的计算成本。所提出方法的性能通过文献中可用的几个基准问题得到验证，不同参数（包括弯曲刚度、相对质量、横截面和加强筋形状）对曲线加劲肋板的屈曲和弯曲行为的影响为调查。