Modeling And Vibration Control Of Thin-walled Rotating Paraboloidal Shell With Fixed Boundary

With the development of space technology and wide application of thin-walled parabolic rotating shell structure in aviation, aerospace and communications fields, using of smart materials to actively control structure vibration has become an effective way to improve the performance of thin-walled parabolic structure. Nowadays the research on thin-walled parabolic shell with fixed boundary is still in the initial stage. This paper will take an exploratory research of parabolic shell structure dynamics, vibration behavior and control techniques with the finite element method.First of all, according to theory of elasticity and shell theory, it derived the shell internal force expression, and then derived the dynamics equations of thin-walled parabolic rotating shell by using Hamilton'principle. But due to the complexity of dynamic equations of parabolic shell, the accurate analytical solutions are very difficult to be obtained. Therefore, this paper used finite element analysis software to model thin-walled parabolic rotating shell and with vibration modal analysis to obtain the natural frequency and inherent vibration modes. The analysis of the frequency response determined the impact of the largest frequency range and laid a theoretical foundation for the research on vibration active control.The analysis of structure transient response signal gained the general rules of structure vibration. According to the rules of vibration, the relationship of vibration response under the distributed force was obtained through the analysis of structural vibration attenuation with different pasted actuators, which provides a necessary theoretical support for the paste position of the actuator.Through the study and analysis of positive position feedback algorithm, this paper designed a controller for active control, and optimized the various parameters of the controller in order to get a good control effect. In MATLAB environment, control system simulation was carried out and achieved a good vibration suppression effect.