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发表时间：2022-10-10

发表刊物：工程力学

卷号：29

期号：3

页面范围：21-26

ISSN号：1000-4750

摘要：In this paper,a SLP(Sequential linear Programming) algorithm based on
   SAND(Simultaneous Analysis and Design) formula is proposed.It is
   different from the traditional practice of a linear expansion of
   implicit response functions(e.g.displacement,stress etc.) at the
   designed variable(e.g.cross sectional area of bar members).Taking a
   truss structure as an example,using SAND formula,with both bar cross
   sectional areas and node displacements as the design variables,a linear
   approximation to the compatibility conditions using explicit bilinear
   function is made and an LP sub-problem is constructed.By solving a
   series of LP sub-problems,a best approximat solution for this
   optimization problem can be obtained.Comparing to the SLP algorithm
   under traditional optimization formula,this method has 2 advantages: The
   choice of the move limit of the designed variable is easier;the error
   involved in the linear approximation can be accurately estimated.Worked
   examples demonstrate that this algorithm is able to obtain the
   approximate optimized solution to the optimization problem in a fast yet
   stable manner.

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