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论文类型：期刊论文

发表时间：2008-10-01

发表刊物：COMPUTERS & STRUCTURES

收录刊物：SCIE、EI、Scopus

卷号：86

期号：19-20

页面范围：1885-1893

ISSN号：0045-7949

关键字：shape control; single channel; voltage distribution; topology optimization

摘要：This paper investigates the optimal spatial distribution of single-channel actuation voltage in static structural shape control problem. It is pointed out that single-channel actuation voltage input for shape control applications is of practical importance due to its ease of implementation. The Mindlin plate theory is used in the finite element modeling of laminates with piezoelectric layers. The optimal distribution of the single-channel actuation voltage is formulated as a discrete optimization problem with tri-level design variables, where a least-square function measuring the structural shape error is to be minimized under a constraint on the control effort. Such a problem is then transformed into a continuous one by introducing element-wise artificial design variables defining the topological feature of the control voltage distribution. A power-law function relating the design variables and the applied voltages is proposed to penalize intermediate values of the design variables. Based on the sensitivity analysis, the problem is solved effectively using the MMA algorithm tailored for constrained least-square problems. Numerical examples presented demonstrate the validity of the proposed problem formulation and numerical approaches. (C) 2008 Elsevier Ltd. All rights reserved.