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首页> 外文期刊>Composite Structures >A cascadic multilevel optimization algorithm for the design of composite structures with curvilinear fiber based on Shepard interpolation
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A cascadic multilevel optimization algorithm for the design of composite structures with curvilinear fiber based on Shepard interpolation

机译：基于Shepard插值的曲线纤维组合结构的级联多级优化设计算法。

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摘要

A hierarchy of parameterizations of fiber angle arrangement are constructed by using the Shepard interpolation. From the top level to the bottom level of the hierarchy, the number and density of design points for the Shepard interpolation increase, thus the design freedom and the resolution of parameterization increase as well. Also, a hierarchy of optimization problems are formulated, and they are solved successively from the coarsest level to the finest level. After the optimization problem at a coarse level is solved, one goes to its neighboring finer level, using the solution of the former one to compute an initial design for the latter one. Again, the Shepard interpolation is used for the computation of initial design. In the cascadic multilevel optimization, it is not necessary to devote too much effort to find an accurate solution for the optimization at a coarse level, and the optimization is allowed to stop when it comes near a local optimal solution. Only at the finest level, it is meaningful to seek an accurate solution which is usually also a local optima. Therefore, a guideline for the selection of parameters that affect efficiency of the optimization at all the levels is proposed.
机译：通过使用Shepard插值来构造光纤角度排列的参数化层次结构。从层次结构的最高层到最低层，Shepard插值的设计点的数量和密度增加，因此设计自由度和参数化分辨率也增加。而且，制定了优化问题的层次结构，并从最粗糙的级别到最高级依次解决了这些问题。解决了粗略级别的优化问题后，将其转到相邻的更细级别，使用前者的解决方案为后者计算初始设计。同样，Shepard插值用于初始设计的计算。在级联多级优化中，不必花费太多精力就可以为粗糙级的优化找到精确的解决方案，并且当优化接近局部最优解时，可以停止优化。仅在最好的水平上，寻找准确的解决方案（通常也是局部最优）才有意义。因此，提出了在所有级别上影响优化效率的参数选择指南。

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