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Dynamics and Dynamical Systems Commons™
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Articles 1 - 7 of 7
Full-Text Articles in Dynamics and Dynamical Systems
Modeling The Effect Of Damping On Mechanical Vibrations In An Aircraft Wing, Daniel Ingleton, Ethan Burrell, Noah Evans
Modeling The Effect Of Damping On Mechanical Vibrations In An Aircraft Wing, Daniel Ingleton, Ethan Burrell, Noah Evans
Discovery Day - Daytona Beach
Aircraft wings experience vibrations during flight due to aerodynamic forces, turbulence, engine effects, and the flexibility of the structure itself. If these vibrations are not properly controlled, they can affect the wing’s performance, structural life, and overall aircraft safety. This research project focuses on modeling how damping reduces mechanical vibrations in an airplane wing. To make the problem manageable, the wing will be represented as a simplified cantilever beam. The project will examine how damping, stiffness, and mass influence the wing’s vibration response over time. Using mathematical equations of motion and simulation tools such as MATLAB or ANSYS, the study …
Simulation-Based Analysis Of Aeroelastic Flutter Using A 2-Dof Mass–Spring–Damper Model, Jamie Shore, Jose Murphy, Emily Brown, Leia Vargas Ii, Carl Pellegrino
Simulation-Based Analysis Of Aeroelastic Flutter Using A 2-Dof Mass–Spring–Damper Model, Jamie Shore, Jose Murphy, Emily Brown, Leia Vargas Ii, Carl Pellegrino
Discovery Day - Daytona Beach
This research project focuses on utilizing a mass-spring dampening system to analyze wing flutter. Given that wing flutter is an instability caused by elastic and inertial forces, these create increasing oscillations that lead to structural failure. Our group will create a simulator developed in MATLAB to analyze data on how different variables such as angle of attack, aspect ratio and wind speed influence the flutter. The simulation will help us to determine how flutter is affected by mass, structural stiffness, and the damping coefficient on several materials. These materials include aluminum 6061, birch wood, steel 36, and tungsten. The goal …
Influence Of Infill Geometry On The Vibrational Behavior Of 3d-Printed Cantilever Beams, Owen Maute
Influence Of Infill Geometry On The Vibrational Behavior Of 3d-Printed Cantilever Beams, Owen Maute
Discovery Day - Daytona Beach
Vibration and damping are important considerations in many engineering structures, especially as additive manufacturing becomes more widely used in functional mechanical components. This project investigates how the internal structure of 3D-printed parts affects their vibrational behavior. A series of cantilever beams with identical outer dimensions will be designed and manufactured using a 3D printer with PLA filament, since PLA is one of the most commonly used materials in consumer and prototyping-level additive manufacturing. The study will examine five different infill patterns at three different infill densities, producing multiple beam configurations that vary only in their internal geometry. In addition to …
Modeling Seiche Oscillations Using Damped Vibration Differential Equations, Bianca Gerity, Arineh Shahbazi
Modeling Seiche Oscillations Using Damped Vibration Differential Equations, Bianca Gerity, Arineh Shahbazi
Discovery Day - Daytona Beach
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 …
Mechanical Vibrations And Damping, Axon Deadrick, Will Standish, Tanay Agarwal
Mechanical Vibrations And Damping, Axon Deadrick, Will Standish, Tanay Agarwal
Discovery Day - Daytona Beach
Mechanical vibrations occur in many engineering systems and can be described using second-order differential equations. In this project, the motion of vibrating systems is studied using the mass–spring model. The focus is on three types of oscillations: free vibrations, dampened vibrations, and forced oscillations. Free vibration describes how a system moves when it is displaced and then released without any external force. Damped vibration includes effects such as friction or resistance that cause the motion to gradually decrease over time. Forced oscillations occur when an external force acts on the system and continuously drives the motion. This project also examines …
Mechanical Vibrations And Damping – Structural Analysis, Kelsey Hunsicker, Sarah Kraus, Sophia Muller Martinelli De Souza
Mechanical Vibrations And Damping – Structural Analysis, Kelsey Hunsicker, Sarah Kraus, Sophia Muller Martinelli De Souza
Discovery Day - Daytona Beach
Mechanical Vibrations are crucial in understanding and structural analysis of engineering systems such as bridges and airplane wings. If not considered, these vibrations can lead to structural fatigue or failure. By using differential equations, structural vibrations will be examined. Researching the different kinds of vibrations and damping will help to find the vibration behavior of the system. For example, a mass-spring damper system will use second-order linear differential equations. The systems model can be shown to be underdamped, overdamped, or critically damped. These will compare the amplitudes and oscillation differences between the systems by using computational code. Analyzing these differences …
Numerical Investigation Of The Nonlinear Simple Pendulum And The Dependence Of Oscillation Period On Initial Angle, Kelly Wold, Aidan Hart, Patrick Gilliam
Numerical Investigation Of The Nonlinear Simple Pendulum And The Dependence Of Oscillation Period On Initial Angle, Kelly Wold, Aidan Hart, Patrick Gilliam
Discovery Day - Daytona Beach
Numerical Investigation of the Nonlinear Simple Pendulum and the Dependence of Oscillation Period on Initial Angle examines how the oscillation period of a simple pendulum varies with initial angular displacement and evaluates the accuracy of numerical methods in capturing this behavior. In classical treatments, the small-angle approximation simplifies the governing differential equation and predicts a constant period independent of amplitude; however, this assumption breaks down for larger angles, where the system exhibits nonlinear dynamics. The objective of this project is to model the full nonlinear equation of motion and quantify how the period depends on initial conditions. To achieve this, …