| Analytical method, finite element method (FEM) and experimental method are three common methods of modeling method of structural vibration control. In this paper, three modeling methods are adopted to study the vibration control of piezoelectric intelligent flexible beam.Firstly, analytical method is used to model the vibration control of piezoelectric intelligent beam. Based on Euler-Bernoulli (Euler-Bernoulli) beam hypothesis, the equations of motion of the flexible cantilever is derived using D'Alembert's principle. One-dimensional symmetric distributed piezoelectric ceramic (PZT) actuators are used, and actuating equation is deduced. Strain Bridges are used as sensors, sensing equation is deduced based on the principle of Strain Bridge. The actuating and sensing equation can be transformed into state space equation after state vector is introduced in the actuating and sensing equation. Optimal feedback gain matrix is determined use linear quadratic optimal (LQR) control method. Based on D optimization criterion, we decide the optimal arrangement position of sensors.Secondly, the finite element equations of piezoelectric intelligent flexible beam are derived. The electric field strength and strain are merged to form a generalized strain. Electric displacement and stress are combined to form a generalized stress. Thus, generalized constitutive equation of piezoelectric laminates finite element is deduced. Hamiltonian principle is used to obtain equations of motion. The equations of motion are transformed into state space equation after introduce state vector.Finally, experiments of vibration control of Piezoelectric Intelligent Beam System are designed. With the use of NI-DAQmx modules, cantilever vibration control program are formed based on LabVIEW-Real Time Systems. The effectiveness of the control algorithms previously designed is verified. Experimental results show that low-frequency resonance of the cantilever has been effectively suppressed. |
PDF Full Text Request