Analysis of Cylinder Vibration and Hydrodynamic Forces

This project presents a comprehensive analysis of cylinder vibration and hydrodynamic forces in fluid flow, encompassing two distinct parts. Part one focuses on a simple initial value problem, modeling a cylinder mounted elastically on an electricity generator, with power extraction achieved through a damping coefficient. The project utilizes MATLAB for dynamic simulation, predicting the effects of parameters such as the Keulegan-Carpenter number and damping coefficient on displacement, velocity, and power extraction. The derivation of the equation of motion, numerical methods (Runge-Kutta), and MATLAB code are provided, along with detailed results and discussions on the impact of KC number and damping. Part two shifts to the analysis of hydrodynamic forces on a square cylinder, employing the Finite Difference Method to solve the Navier-Stokes equations in a two-dimensional flow field. The project examines the formation of vortices, drag and lift forces, and the Strouhal number in relation to the Reynolds number. Overall, the project provides a thorough investigation of fluid-structure interaction, providing valuable insights into the behavior of submerged structures and the forces acting upon them.