Accurate Numerical Integration of State-Space Models for Aeroelastic Systems with Free Play

摘要

The general form of the equations of motion for the three-degree-of-freedom aeroelastic typical section in two-dimensional, incompressible flow was derived by Theodorsen.1-2 Edwards et al.3 proposed a state-space model for this linear system incorporating a two-state approximation to Theodorsen aerodynamics to determine the unsteady aerodynamic loads. However, similar state-space models for piecewise linear systems, such as those with free play in the structural stiffness of one or more degrees of freedom.