复合材料层合板屈曲稳定性优化设计及其灵敏度计算方法

OPTIMUM DESIGN AND SENSITIVITY ANALYSIS FOR BUCKLING STABILITY OF COMPOSITE LAMINATED PLATES

笔者在有限元分析基础上研究了以屈曲稳定性作为约束条件或优化目标的复合材料层合板结构优化设计及其灵敏度分析方法 ,重点讨论了屈曲临界荷载灵敏度对内力场和载荷的依赖关系及其在铺层优化、尺寸优化和形状优化问题中的不同计算方法 ,并在 JIFEX软件中实现了复杂结构复合材料层合板优化设计方法。

Based on the finite element analysis, the methods of design optimization and sensitivity analysis for the composite laminated plate structures with structural buckling stability as constraint or objective are studied. A dependence of critical buckling load sensitivity on the stress field and external loads is discussed in detail, and its different computational methods in the problems of the size, shape and stacking sequence optimizations are proposed. A design model for buckling stability optimization of the composite laminated plates is built, and the sequential linear programming (SLP) and sequential quadratic programming (SQP) are adopted to solve the optimization problem. The design model and solution methods proposed are available for complex structures with composite laminated plates and can also be combined with static, frequency and dynamic response optimization. The methods have been implemented in the software JIFEX for the finite element analysis and design optimization of general purpose structures. The numerical examples demonstrate the validation of the algorithm and program of the paper.