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发表时间：2013-01-01

发表刊物：力学学报

卷号：45

期号：2

页面范围：214-222

ISSN号：0459-1879

摘要：The special parts of structures are always required to be geometric
   stable on output displacements under different loadings in many
   engineering cases. Introduction of the adjustable compensation
   displacements in the special region of structures is the effective
   technique. In the scope of the linearly elasticity and small
   deformation, the purpose f this paper is to study the topology
   optimization of structures with the geometric stability in the given
   region through the lowest compensation cost. The objective of the
   present optimization model is to obtain the maximum stiffness of
   structures with the stable ideal displacement responses of structural
   given region. There are two types of design variables in the model which
   are the structural topology variables and the compensation displacement
   variables. These two types of variables are coupled through the
   two-level search method. The adjoint method is performed to compute the
   sensitivities of the objective function with respect to the two types of
   variables respectively. The results show that the present optimization
   formulation can realize the objective of shape control of structures
   through the low controlling cost.

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