Analog Computer Simulation of Mechanical Oscillations with Damping

Explore the analog computer simulation of mechanical oscillations with and without damping in a physics-themed project. Students can visualize classical physics concepts through hands-on analog circuit design, modeling spring-mass systems and RLC circuits. The project involves constructing a breadboard analog computer to display solutions on an oscilloscope, following second-order linear differential equations. The demonstration showcases the behavior of spring-mass systems, providing an instructional approach for understanding dynamic systems.

• Analog Computer
• Mechanical Oscillations
• Damping
• Physics Simulation
• Spring-Mass System

mariam Follow

Uploaded on May 16, 2024 | 0 Views

Download Presentation

Please find below an Image/Link to download the presentation.

The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. Download presentation by click this link. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.

Presentation Transcript

1. Mechanical Oscillations With and Without Damping - An Analog Computer Physics-Themed Simulation Ryan Bischof Advisor: Michael Cimorosi Division of Physics, Engineering, Mathematics, and Computer Science (PEMaCS) Delaware State University

2. RLC Circuit Simple Harmonic Motion L - inductance R resistance C capacitance E(t) voltage source m - mass b damping coefficient k spring constant f(t) external force Both spring-mass systems and RLC circuits can be modeled by second-order constant-coefficient differential equations.

3. We constructed a breadboard analog computer with currents following a second-order linear differential equation to model the position of a sliding block attached to a massless spring in two cases (1) with damping and (2) without damping. Solutions displayed on an oscilloscope An instructional approach for students to visualize classical physics through hands-on analog circuit design

4. We began with the dynamics of the spring-mass system.

5. We then delved in the math and arrived at

6. We drew the diagram of analog computer breadboard connection and mathematics flow.

7. Finally, we built the breadboard circuit according to the diagram.

8. When we connect the batteries to the circuit and have the initial conditions set right, we see these displayed on the oscilloscope. They behave exactly the same as the oscillation of a spring-mass system with or without damping.

9. The complete demonstration set

10. Me with my advisor Mr. C

11. Enjoy the demonstration! https://www.youtube.com/watch?v=syRmXpcJmA8