Optimal Vibration Control And Design Optimization For Piezoelectric Curve Shell Structures

The increasing need of modern light weight, adaptive structure with superior structural performance requirements has resulted in the development of smart materials and structures. A smart or intelligent structure has distributed sensors and actuators and inbuilt control electronics that analyze the response from the sensors and command the actuators using a distributed parameter control theory to apply localized strains, opposing the original deformation of the structure. Smart structure offer potential benefits in a wide range of engineering applications, such as vibration control, shape control, damage assessment and noise suppression. The current study of this area is focused on piezoelectric based vibration control. Concretely, the contents of the thesis are arranged as follows:In Chapter1, a review of existing research about piezoelectric smart structure, its application on active control and piezoelectric actuators’ optimal placement have been presented. Then the introduction proposes research purpose, the framework and research methods of this thesis combined with literature sum-up.In Chapter2, the finite formulation and dynamic model with piezoelectric material is developed. Numerical examples illustrate accuracy of proposed model.In Chapter3, numerical simulation of vibration control of the piezoelectric intelligent shell structures is constructed. Linear quadratic regulator (LQR) is applied to design an output feedback controller. Optimal voltage of actuators is obtained by High Precise Direct integration method.In Chapter4, simulated annealing algorithm combines LQR feedback controller is developed to conduct integrated control-structure optimization design, which includes continuous and discrete variables.In Chapter5, composite laminated piezoelectric shell modeling has been developed based on former piezoelectric curve element. In which, piezoelectric actuators are symmetrically distributed on both side. Numerical results reveal optimal placement and vibration control method proposed by this thesis also valid for piezoelectric laminated shell.