On the Static Aeroelasticity Instability of an Inverted Cantilever Plate with a Crack Under Steady Axial Airflow

This study investigates the static instability of a cracked plate in subsonic airflow. The model is an inverted cantilever plate, where its leading edge free and trailing clamped. A mathematical crack developed using Dirac function, while Theodorsen aerodynamic mode applied for fluid force. To account angle discontinuity caused by cracks, Fourier expansion employed to transform form corresponding into continuous model. critical divergent dynamic pressure with are calculated Galerkin method. Results show that closer close clamped, lower boundary flow rate plate. Additionally, given location, larger damage parameter,