A Layerwise Optimization Approach Combined with FEM for Optimizing Laminated Composite Plates
A Layerwise Optimization Approach Combined with FEM for Optimizing Laminated Composite Plates
复制标题
结合有限元法优化层合复合板的分层优化方法
DOI：
10.6089/jscm.31.38
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Y. Narita
中科院分区：
文献类型：
--
作者：
Y. Narita
本文将作者提出的分层优化（LO）方法的概念推广到与有限元法（FEM）相结合的方法中，并将这种结合的结构优化方法（LO-FEM方法）应用于复合材料对称层合板的优化设计。设计变量取为所有K层中的纤维取向角。这通常会导致计算时间的快速增加，因为需要在K维空间中搜索最优解。然而，LO使得这种多维优化问题减少到仅K次重复的一维搜索成为可能。在有限元公式中，刚度矩阵被修改以适合于LO过程。数值算例表明，局部有限元法是求解弯曲问题最小挠度和振动问题最大频率的有效工具。
A concept of a layerwise optimization (LO) approach, previously proposed by the author, is extended to be combined with the finite element method (FEM) and this combined approach for structural optimization, named LO-FEM approach, is demonstrated to obtain the optimum performance of symmetrically laminated composite plates. Design variables are taken to be the fiber orientation angles in all K layers. This usually causes a rapid increase in computation time due to the search for optimum solutions in the K dimensional space. The LO makes it possible, however, that this multi-dimensional optimization problem reduces into only K times repetition of onedimensional search. In the FEM formulation, the stiffness matrix is modified to be suited for the LO procedure. The numerical examples show that the LO-FEM approach is a quite effective tool to obtain the minimum deflection in the bending problem and the maximum frequency in the vibration problem.