Simulating a Jello Cube

Features:

• Implemented Acceleration Functionality.
• Implemented Hooke's Law, Damping, & Collision Detection.
  • Jello Cube bounces off the wall as expected.
• Implemented the Force Field.
• Renders the Inclined Plane from file, to fit within the bounding box.
• Implemented collision detection with the inclined plane.
  • Jello cube collides and reacts appropriately when in contact with the plane.

The Jello Cube is elastic, and can be bent, stretched, and squeezed.

If L is a vector from a mass point A to a mass point B,
and R is the rest length of the spring between them,

Hooke's Law (3D)

The elastic force exerted on A :

F = -k_Hook (|L| - R) (L / |L|)

Damping (3D)

Absorption of energy, thus gradually decreasing velocity.

F = -k_d ( ( (v_A - v_B) • L ) / |L| ) (L / |L|)

( d - damping coefficient )

Command Argument Format:

world/[name]

e.g. world/jello.w

Result

Note

Different display modes to visualize the different types of springs :

• Structural Springs
• Shear Springs
• Bend Springs

Implementation of the 3 lead to a more stable, realistic simulation.

( base world code by Jernej Barbic )