Is this project an undergraduate, graduate, or faculty project?
Undergraduate
Project Type
group
Campus
Daytona Beach
Authors' Class Standing
Bianca Gerity, Sophomore Arineh Shahbazi, Sophomore
Lead Presenter's Name
Bianca Gerity
Lead Presenter's College
DB College of Engineering
Faculty Mentor Name
Dr. Jorge Gonzalez
Abstract
A seiche oscillation is a standing wave that oscillates in an enclosed body of water, like a lake or pool. Seiches are caused by strong winds, earthquakes, and rapid atmospheric changes. Seiches are an excellent real-world example of damped harmonic motion. The physics of these unique vibrations can actually be modeled using a second-order differential equation for damped oscillators of the general form mx''+cx'+kx=0, where m represents the mass of the vibrating water column, c represents the energy dissipation due to friction and viscosity, and k represents the force governed by gravity and the basin's geometry. The objective of this project is to connect this general equation to real-world data from the analyzed seiche oscillations, analyze this data under overdamped, underdamped, and critically damped scenarios, and connect each scenario to physically observable wave behavior in enclosed bodies. A MATLAB program will be developed to simulate and visualize surface displacement under varying damping conditions over time. This project demonstrates that the second-order ordinary differential equation general form for damped oscillators provides a wide lens for modeling wave attenuation with many broad implications.
Did this research project receive funding support (Spark, SURF, Research Abroad, Student Internal Grants, Collaborative, Climbing, or Ignite Grants) from the Office of Undergraduate Research?
No
Included in
Dynamics and Dynamical Systems Commons, Oceanography Commons, Ordinary Differential Equations and Applied Dynamics Commons
Modeling Seiche Oscillations using Damped Vibration Differential Equations
A seiche oscillation is a standing wave that oscillates in an enclosed body of water, like a lake or pool. Seiches are caused by strong winds, earthquakes, and rapid atmospheric changes. Seiches are an excellent real-world example of damped harmonic motion. The physics of these unique vibrations can actually be modeled using a second-order differential equation for damped oscillators of the general form mx''+cx'+kx=0, where m represents the mass of the vibrating water column, c represents the energy dissipation due to friction and viscosity, and k represents the force governed by gravity and the basin's geometry. The objective of this project is to connect this general equation to real-world data from the analyzed seiche oscillations, analyze this data under overdamped, underdamped, and critically damped scenarios, and connect each scenario to physically observable wave behavior in enclosed bodies. A MATLAB program will be developed to simulate and visualize surface displacement under varying damping conditions over time. This project demonstrates that the second-order ordinary differential equation general form for damped oscillators provides a wide lens for modeling wave attenuation with many broad implications.