Optimal placement of piezoelectric active bars in vibration control by topological optimization |
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Authors: | Guozhong Zhao Jian Wang Yuanxian Gu |
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Institution: | (1) State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116024, China |
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Abstract: | A continuous variable optimization method and a topological optimization method are proposed for the vibration control of
piezoelectric truss structures by means of the optimal placements of active bars. In this optimization model, a zero-one discrete
variable is defined in order to solve the optimal placement of piezoelectric active bars. At the same time, the feedback gains
are also optimized as continuous design variables. A two-phase procedure is proposed to solve the optimization problem. The
sequential linear programming algorithm is used to solve optimization problem and the sensitivity analysis is carried out
for objective and constraint functions to make linear approximations. On the basis of the Newmark time integration of structural
transient dynamic responses, a new sensitivity analysis method is developed in this paper for the vibration control problem
of piezoelectric truss structures with respect to various kinds of design variables. Numerical examples are given in the paper
to demonstrate the effectiveness of the methods.
The project supported by the National Natural Science Foundation of China (10772038, 10302006 and 10421202). |
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Keywords: | Piezoelectric intelligent truss Vibration control Design optimization Sensitivity analysis |
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