Abstract
A hybrid optimization strategy for integrated topological optimization design of piezoelectric cylindrical flat shell structure is proposed. The method combines the genetic algorithm (GA) and linear-quadratic-regulator (LQR) theory to optimize the performance of coupling structure/control system. The GA is used to choose the optimal structure topology and number and placements of actuators and control parameters; meanwhile, the LQR is used to design control system to suppress vibration of optimal structure under sinusoidal excitation, which is based on the couple-mode space control. In addition, the mathematical morphology operators are used for repairs of disconnected structure topology. The results of numerical simulation and computations show that the proposed method is effective and feasible, with good performance for the optimal and coupling piezoelectric cylindrical shell structure/control system.
Highlights
The cylindrical shell structure is widely used as main parts of the large structure design in many fields, such as civil engineering and architecture, marine, and aerospace
Xu et al [8] studied the integrated optimization of structural topology and number and positions of the actuators and control parameters for piezoelectric smart plates, which is based on the optimal control effect in the independent mode control and singular value decomposition of the distributed matrix of total performance index for all physical control forces with the genetic algorithm (GA) as optimization strategy
The results show that the integrated optimizations of piezoelectric cylindrical shell structure are successful and feasible
Summary
The cylindrical shell structure is widely used as main parts of the large structure design in many fields, such as civil engineering and architecture, marine, and aerospace. Li and Huang [4] combined the GA and the linear quadratic Gaussian (LQG), studied the integrated optimization of actuator placement and vibration control for piezoelectric adaptive trusses, and verified that the result of experiment is consistent with numerical results. Xu et al [7] discussed some issues associated with integrated optimization of structural topology, the number and placement of actuators and control parameters for piezoelectric smart trusses; some optimal strategies based on genetic algorithms were adopted in their study. Xu et al [8] studied the integrated optimization of structural topology and number and positions of the actuators and control parameters for piezoelectric smart plates, which is based on the optimal control effect in the independent mode control and singular value decomposition of the distributed matrix of total performance index for all physical control forces with the GA as optimization strategy.
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