Abstract:
A novel technique is presented for exciting desired transient
vibrations in a structure. A cantilevered plate instrumented with
piezoelectric sensor and actuator is used as a test-structure. Finite
element model of the test-plate is developed using Hamilton’s
principle. Finite element model is reduced to first two modes
using orthonormal modal truncation and then this reduced
model is converted into a state-space model. Tracking optimal
control is then employed to obtain desired transient curves simultaneously, of first two modes of vibration. Theoretical findings are
verified by conducting experiments, for experimentation, Kalman
observer is used to estimate first two modes and Labview software is used for interfacing. Presented strategy can be used to do
dynamic vibration testing of a product by forcing the product to
experience same transient vibrations that it is expected to experience in field.