Modeling and active control of geometrically nonlinear vibration of composite laminates with macro fiber composite

Abstract

To study the active control of the geometrically nonlinear vibration of flexible composite laminates, it is necessary to create its dynamic model and predict the effect of vibration reduction. In this paper, geometrically nonlinear and active control are introduced through von Kármán large deformation theory and velocity feedback controller, respectively. On this basis, the active control model of geometrically nonlinear vibration of composite laminates with macro fiber composite (MFC) is established. For solving the nonlinear model, an improved Newmark-β method is proposed for solving differential equations with nonlinear terms, which has better consistency and higher solution efficiency than the classical fourth-order Runge-Kutta solution. The suppression effect of active control on the nonlinear vibration response of the structure and the accuracy of the geometrically nonlinear model are confirmed using the composite cantilever laminates with MFC sensor/actuator as an example. Based on the nonlinear model, the influence of the control gain and the different positions of the MFC actuators on the active control effect are analyzed, and then the appropriate control gain and the better position of the MFC are determined.