fai
Uploaded by
15 SLIDES
308 VUES
150LIKES

Interactive Collision Simulation and Physical Experimentation for Real-World Data Validation

DESCRIPTION

This project features a dual approach that combines a physical collision experiment using 22.5-gram eraser boxes and an interactive computer simulation for validating results. The experiment is conducted on a frictional table, where independent variables such as initial distance and orientation are manipulated while measuring angles and distances. The simulation engine replicates collision dynamics, featuring shapes with defined properties like mass and inertia. Both elastic and inelastic collision behaviors are modeled, enhancing understanding of impulse and energy conservation in collisions.

1 / 15

Télécharger la présentation

Interactive Collision Simulation and Physical Experimentation for Real-World Data Validation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Approach Two aspects: • Physical collision experiment with eraser boxes • provides real world data to corroborate simulation • Interactive computer simulation • Simulates collisions with a variety of shapes

  2. Experiment Setup Eraser box22.5 grams Eraser box22.5 grams weight 1.85 meters table

  3. Experimental Variables • Independent: • Initial distance and orientations • Dependent: • Angles of objects • Location of objects • Controlled: • Force applied to object • Friction of table.

  4. Measurements • Distance of first box • Distance of second box • Angle of first box • Angle of second box

  5. Data

  6. Simulation

  7. Engine • Contained in one package (separate from the GUI) • Contains circles and polygons • Each shape has a position, velocity, angular velocity, mass, and moment of inertia • Moment of inertia : measure of how difficult an object is to turn.

  8. Impulses • Impulse : a force applied instantaneously, measured in kg m/s • Can change a shape’s linear and/or angular velocity. • Rotation depends on moment arm (r). • Δv = Δp/m, Δω = rΔp/I  (I = moment of inertia)

  9. Collisions • Impulses push the objects apart • Elastic collisions preserve kinetic energy • Ek = ½mv2+ ½ Iω2 • Both angular and linear velocity changes • p = 2(v1 – v2 + w1r1 – w2r2)         • (1/m1 + 1/m2 + r1 2 /I1 + r2 2 /I2)

  10. More on Collisions • Objects have friction and bounciness • p = 2(v1 – v2 + w1r1 – w2r2)         • (1/m1 + 1/m2 + r1 2 /I1 + r2 2 /I2) • This formula is only for elastic collisions • For inelastic collisions, the 2 is replaced by 1 + b1b2 (the bounciness factors, 0≤b≤1) • Friction: μ = f1f2 (the friction factors, 0≤f≤1) • Friction impulse = μ * p (normal impulse)

  11. GUI

  12. Structure • Modular and extendable • Model / view separation • GUI in different package from model • Model: the actual shapes and math • GUI: the user interface, uses the model

  13. Synchronization • Concurrency • Animation always requires multiple threads • Manual synchronization • The two main lists needed to be synchronized manually

  14. Documentation • Javadocs (auto-generated html-based documentation for Java) • Could help other people working on similar projects

More Related