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采用广义微分求积(GDQ)法开展了不同边界条件下承受面内线性变化载荷作用复合材料层合板振动与屈曲的分析与优化。针对GDQ法求解面内线性变化载荷工况复合材料层合板屈曲问题存在计算振荡、不收敛现象,提出载荷扰动策略实现了GDQ法对复合材料层合板屈曲问题的稳定高效求解。基于基础圆频率和临界屈曲载荷系数的归一化指标,分析了铺层角度对复合材料层合板综合性能的影响,并结合直接搜索模拟退火算法开展了复合材料层合板的铺层顺序优化。结果表明:铺层角度变化对屈曲性能的影响明显强于频率特性;面内线性变化载荷中,以弯曲载荷作用下复合材料层合板的优化综合性能受边界条件变化的影响最小,而优化铺层角度受边界条件变化的影响最大。研究结果为复杂载荷作用下复合材料层合板的设计提供了参考。
The generalized differential quadrature method (GDQ) was used to analyze and optimize the vibration and buckling of composite laminates subjected to in-plane linear load under different boundary conditions. In order to solve the buckling problem of composite laminates with linear in-plane load variation by GDQ method, there is computational oscillation and non-convergence phenomenon. The load disturbance strategy is proposed to realize stable and efficient solution to buckling of composite laminates with GDQ method. Based on the normalized index of fundamental circular frequency and critical buckling load coefficient, the influence of lay angle on the composite properties of composite laminates was analyzed. The lay-up sequence optimization of composite laminates was carried out with direct search simulated annealing algorithm. The results show that the influence of the ply angle on the buckling performance is obviously stronger than that of the frequency characteristic. Among the linear in-plane loads, the optimum composite performance of composite laminates under the bending load is the least affected by the variation of boundary conditions, The angle is most affected by the change of boundary conditions. The results provide references for the design of composite laminates under complicated loadings.