Hydrodynamic Force and Vibration Analysis of a Cylinder in Water Flow

This project analyzes the vibration of a cylinder in water flow, focusing on hydrodynamic forces. It involves deriving the equation of motion and employing the fourth-order Runge-Kutta method for numerical solutions using MATLAB. The project explores the effects of varying parameters like the Keulegan-Carpenter number and damping coefficient on the cylinder's displacement, vibrational velocity, and power extraction. The study includes detailed discussions on the impact of these parameters, supported by graphs and tables generated from the MATLAB simulations. The first part of the assignment deals with a simple initial value problem, while the second part focuses on hydrodynamic forces on a square cylinder, solved using the Finite Difference Method. The analysis provides insights into designing structures in water bodies, considering hydrodynamic forces and their influence on the structural integrity.