Stability Analysis of a Cantilever Structure using ANSYS and MATLAB

The objective is to study the behavior of gallery in a concert hall under forced vibration (Man Induced Vibration) without damping to avoid deformations in the structure leading to potential damage. In order to execute this, it is vital to further find the (first three, in this case) natural frequencies and natural mode shapes of the cantilever corresponding to deformations of the beam in the x-y-plane in order to determine the stresses acting within the structure. The natural frequency of the Gallery of two proposed designs is then determined followed by finding the best design based on their natural frequencies by comparing with exact natural frequencies of a uniform cantilever beam to find the Transient Response for the given load at the tip of the Cantilever Beam. This technique has also been applied to shock wave theories that are applied underground using ultrasonic sensors to determine cracks within underground pipelines to avoid any leakage.