Influence of the Spatial Discretization in Modeling and Control of the Flexible Structure in Rotation Considering the Fluid Interaction and Flight Hovered
Eduardo Palhares Júnior1; André Fenili1; Karl Peter Burr1
1 Universidade Federal do ABC
doi:10.20906/CPS/CILAMCE2015-0468
Resumo
We investigate the control of angular velocity and altitude of a system composed of a central hub and a flexible beam crimped to it. The beam rotates around the hub's axis with the angle of attack relative to the plane of rotation. The control of altitude and angular velocity is designed using a nonlinear control law, known as SDRE (State Dependent Riccati Equation). This law of control is applied to the central hub as a torque. We use two techniques for the spatial discretization of the system integro partial differential equations of motion. One such technique is the method of assumed modes and the other is the finite difference method. The Runge-Kutta method is used to obtain numerically the time evolution of the system governing equations. The main objective of this work is to study the effect of the spatial discretization technique in the system time evolution and control. The numerical simulations consider different values for the angle of attack ​​and for the angular velocities. The difference between the system time evolution when using finite difference and the assumed modes for spatial discretization increases when the system non-linearity becomes stronger.
Palavras-chave: nonlinear dynamics; rotating flexible beam; fluid-structure interaction; finite differences; assumed modes; Runge-Kutta