Study On Vibration Active Control Method Of Composite Laminated Plates And Shells

In recent years, vibration active control of composite laminated plates and shells has get development heavily. This text studies the method on vibration active control of composite laminated plates and shells, which based on optimum linear quadratic regulator control method, making the systematic energy as optimum object, put forward to a kind of definite right coefficient matrix method, thus the system is controlled optimum.According to the basic principle of the plates and the shells' theory, the author utilize Hamilton principle to derive various kinds of border conditions, various kinds of plate theories, with various ways of composite laying, and get balanced equation of movement of the plates and shells; Turn out the frequency and amplitude of vibration, turn into the equation of state -space form; Select optimum linear quadratic regulator, provide Q matrix and R matrix in LQR method through the energy principle; Get analytic equation of systematic displacement and control force finally; Carry on emulation analysis to the system. And go on the contrast with the vibration control conclusion of M.E.Fares, etc, which adopting Liapunov-Bellman theory to carry on composite laminated plates and laminated plates. From this conclusion we can have certain theory value in the study of control method.Through examples we analyses various kinds of conditions to impact on vibration control, provide some beneficial conclusions, there is certain value in practical application. Utilize Mathematica and Matlab to work out a set of module procedures to calculate, has avoided the complexity that is calculated by hand, it can apply to other research field through improving a little, offer one mode to draw lessons to some relevant field.