陈奕来,孙士平,胡政. 基于GDQ方法的变刚度D-D层合板振动分析与优化[J]. 失效分析与预防,2026,21(4):358-366. doi: 10.3969/j.issn.1673-6214.2026.04.007
    引用本文: 陈奕来,孙士平,胡政. 基于GDQ方法的变刚度D-D层合板振动分析与优化[J]. 失效分析与预防,2026,21(4):358-366. doi: 10.3969/j.issn.1673-6214.2026.04.007
    CHEN Yilai,SUN Shiping,HU Zheng. Vibration analysis and optimization of variable-stiffness D-D laminates based on GDQ method[J]. Failure analysis and prevention,2026,21(4):358-366. doi: 10.3969/j.issn.1673-6214.2026.04.007
    Citation: CHEN Yilai,SUN Shiping,HU Zheng. Vibration analysis and optimization of variable-stiffness D-D laminates based on GDQ method[J]. Failure analysis and prevention,2026,21(4):358-366. doi: 10.3969/j.issn.1673-6214.2026.04.007

    基于GDQ方法的变刚度D-D层合板振动分析与优化

    Vibration Analysis and Optimization of Variable-Stiffness D-D Laminates Based on GDQ Method

    • 摘要: D-D复合材料层合板为航空航天结构的设计与制造带来了极大的简化,本文将纤维连续变角度铺层引入D-D层合板形成一种变刚度D-D复合材料层合板,并开展变刚度D-D层合板的振动分析与纤维路径优化。基于经典层合板理论,采用广义微分求积(GDQ)法推导了变刚度复合材料层合板振动控制方程的离散求解格式,结合纤维路径线性变化函数与直接搜索模拟退火算法的优化策略,实现了变刚度D-D层合板振动问题的高效求解与纤维路径的快速优化。结果表明:在对边固支与简支(CSCS)边界条件下,变刚度D-D层合方板的一阶固有频率随堆叠次数的增加呈线性增长,大初始角的变刚度铺层方案比传统Quad层合板频率高10.86%以上;直线/曲线混搭铺层结构及全曲线纤维铺层结构的优化频率较Quad层合板分别提高了35.68%和44.78%,说明将变刚度铺层引入D-D层合板能进一步提升频率性能。研究结果验证了本文基于GDQ的变刚度D-D层合板优化流程的有效性,为高效设计D-D复合材料层合板提供了方法支撑。

       

      Abstract: D-D (Double-Double) composite laminates greatly simplify the design and manufacturing of aerospace structures. In this work, continuously variable-angle fiber layup was introduced into D-D laminates to form a variable stiffness D-D composite laminate, followed by vibration analysis and fiber path optimization of the variable stiffness D-D laminate. Based on the classical laminated panel theory, a discrete solving scheme for the vibration control equation of variable stiffness composite laminates was derived using the generalized differential quadrature (GDQ) method. By combining the linear variation function of the fiber path with the optimization strategy of the direct search simulated annealing algorithm, efficient solutions for the vibration problem of variable stiffness D-D laminates and rapid optimization of fiber path were achieved. Calculations show that under CSCS boundary conditions, the first-order natural frequency of variable stiffness D-D laminated square plates rises linearly with the increase in ply counts. The variable stiffness layup scheme with large initial angles has a frequency that is over 10.86% higher than that of traditional Quad laminated plates. Compared to the Quad laminate, the optimization frequencies of the linear/curved mixed layer structure and the full curve fiber layer structure are increased by 35.68% and 44.78%, respectively. These findings indicate that introducing variable stiffness layers into D-D laminates can further improve frequency performance. This research verifies the effectiveness of the optimization process for variable stiffness D-D laminates based on GDQ, providing methodological support for efficient design of D-D composite laminates.

       

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