An algorithm for optimal structural design with frequency constraints
An algorithm for optimal structural design with frequency constraints
复制标题
具有频率约束的优化结构设计算法
DOI：
10.1002/nme.1620130206
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发表时间：
1978
影响因子：
2.9
通讯作者：
R. Shaw
中科院分区：
文献类型：
--
作者：
J. Kiusalaas;R. Shaw
本文提出了一种结构最轻重量设计的有限元方法，该方法具有固有频率的下限约束和设计变量的上、下限约束。设计算法本质上是Kuhn-Tucker最优性准则的迭代解。该算法的三个最重要的特点是：（1）达到最优或接近最优设计所需的设计迭代次数较少，（2）可以使用各种尺寸刚度的结构单元，唯一的重要限制是排除曲梁和壳单元，（3）该算法适用于多频率和单频率约束。用三个简单的问题来说明设计过程。
The paper presents a finite element method for minimum weight design of structures with lower-bound constraints on the natural frequencies, and upper and lower bounds on the design variables. The design algorithm is essentially an iterative solution of the Kuhn-Tucker optimality criterion. The three most important features of the algorithm are: (1) a small number of design iterations are needed to reach optimal or near-optimal design, (2) structural elements with a wide variety of size-stiffness may be used, the only significant restriction being the exclusion of curved beam and shell elements, and (3) the algorithm will work for multiple as well as single frequency constraints. The design procedure is illustrated with three simple problems.