Estimation of time response of flexural and angular displacements over a cantilevered plate

In this work, a technique is suggested to estimate the transient response of physical displacements and rotationsover an entire plate structure. A cantilevered plate instrumented with piezoelectric patches is taken as a test structure.Equations of motion of the test structure are derived using finite element method (FEM) based on Hamilton’s principle.The system of second-order ordinary differential equations is converted into a first order state-space model. DiscreteKalman filter is then used to estimate modal displacements in the time domain. Using theory of modal analysis andtransient response of modal displacements, transient responses of physical displacements and physical rotations areestimated over the test-plate.

کلیدواژه ها:

Kalman filter ، Estimation ، Vibration mode ، Cantilevered plate