Integrating Rotational Degree Of Freedom in EDEM — различия между версиями

Материал из Department of Theoretical and Applied Mechanics
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(EDEM simulation)
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Alexey will soon write about it...  
 
Alexey will soon write about it...  
 
==EDEM simulation==
 
==EDEM simulation==
# Globals:<br>
+
===Globals:===
 
Interaction: Particle to particle<br>
 
Interaction: Particle to particle<br>
 
Model: our contact model<br>
 
Model: our contact model<br>
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Restitution: 0.5<br>
 
Restitution: 0.5<br>
 
No static and rolling friction<br>
 
No static and rolling friction<br>
# Particles:<br>
+
===Particles:===
 +
We create particles of 2 types;"big" with big moment of inertia (100kgm2 X-axis) and "small"(0.000285kgm2 X-axis);Both particles are made of 2 surfaces placed along Z-axis on a distance of 2 particle radius
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==Measures==
 +
We measured the period of oscillation<br>
 +
===Analytics===
 +
<math>T = 2\pi\sqrt{\frac{C}{\theta}} = 0.106</math>
 +
===Integration===
 +
We measured period using the Graph of angular velocity and got the result
 +
<math>T = 0.082</math>
 +
====

Версия 22:56, 22 января 2012

Task

Understand - how rotational DOF are integrated inside EDEM. For this: prepare simulation which could be compared with analytics.
For this:

  1. Prepare factory that creates particles
  2. Prepare contact model which describes the rule of interaction
  3. Prepare EDEM simulation
  4. Measure something and compare it to analytic

Who we are

Factory

We create 2 particles on a distance 0.1m and rotated at an angle of 5-15 () degrees;
These particles are of 2 types "small" and a "big" one; Big particle has identity matrix as rotation matrix; Small particle is rotated using rotation matrix
Particles's velocity and angular velocity equals to zero;
Y and Z coordinates are the same (0.5,0.5); Only X is different (0.45 for "big" and 0.55 for "small");

  • For small particle:

double OrientAngle = pi/12; // angle between particles in Radians
orientation[0] = 1.0; // Rotating particle. X axis.
orientation[4] = cos(OrientAngle);
orientation[5] = -sin(OrientAngle);
orientation[7] = sin(OrientAngle);
orientation[8] = cos(OrientAngle);

Contact Model

Alexey will soon write about it...

EDEM simulation

Globals:

Interaction: Particle to particle
Model: our contact model
No gravity
There are two materials "material" and "material_2" with different density for "material" 1000 for "material_2" 1.7e+05
Restitution: 0.5
No static and rolling friction

Particles:

We create particles of 2 types;"big" with big moment of inertia (100kgm2 X-axis) and "small"(0.000285kgm2 X-axis);Both particles are made of 2 surfaces placed along Z-axis on a distance of 2 particle radius

Measures

We measured the period of oscillation

Analytics

[math]T = 2\pi\sqrt{\frac{C}{\theta}} = 0.106[/math]

Integration

We measured period using the Graph of angular velocity and got the result [math]T = 0.082[/math]

==