Mechanics simulation experiments
In May/June 2002 i started some experiments simulating mechanical systems in POV-Ray. Here you can find a selection of animations i made during those experiments.
more complex objects
Next i started implementing connections between the masses. With these simulating more complex structures is possible without much extending the simulation system.
Friction turned out to be a critical aspect with such systems. In addition much more integration steps were necessary for the relatively stiff connections.
The animation shows two small cubes, each made of 8 masses connected at the edges and the face diagonals.
More complex geometries turned out to be very slow when simulated in POV-SDL.
Here you can see a relatively soft larger cube deforming when hitting the ground. In addition to the elasticity also damping is simulated for the connections now.
The environment collisions are meanwhile also modeled as elasticities. This is achieved
with help of the IsoCSG library and the
This animation shows a cube similar to the last one, but with solid faces and a more complex environment to interact with.
There are many possible geometries that can be simulated with such a system of masses connected through elasticities, here are a few more examples:
|Animation 6: solid cube interacting with more complex environment (mpeg, 320x240, 623k)||Animation 7: solid cube interacting with more complex environment (mpeg, 320x240, 623k)|
I also made some tests with water interaction using a very simple yet effective method for generating water waves described in:
This method of course has it's limitations, especially when the waves are stronger. The following 2 animations show some of these problems.
|water/ball interaction, slow motion 1:2 (mpeg, 320x240, 665k)||water/ball interaction with floating balls (mpeg, 320x240, 499k)|
Some further discussion of some of these simulations can be found on the povray.org newsserver:
Subject: balls simulation (665k) Date: Mon, 13 May 2002 00:09:01 +0200 Newsgroups: povray.binaries.animations From: Christoph Hormann <firstname.lastname@example.org> news://news.povray.org/3CDEE7FD.B2EA955@gmx.de http://news.povray.org/3CDEE7FD.B2EA955@gmx.de
Subject: ball simulation 2 (2x500k) Date: Wed, 15 May 2002 18:51:08 +0200 Newsgroups: povray.binaries.animations From: Christoph Hormann <email@example.com> news://news.povray.org/3CE291FC.E1C0909C@gmx.de http://news.povray.org/3CE291FC.E1C0909C@gmx.de
Subject: Balls connected (377+500k) Date: Thu, 30 May 2002 13:46:19 +0200 Newsgroups: povray.binaries.animations From: Christoph Hormann <firstname.lastname@example.org> news://news.povray.org/3CF6110B.FF7822E7@gmx.de http://news.povray.org/3CF6110B.FF7822E7@gmx.de
Subject: balls 4x4x4 grid (249+198k) Date: Sun, 02 Jun 2002 11:40:02 +0200 Newsgroups: povray.binaries.animations From: Christoph Hormann <email@example.com> news://news.povray.org/3CF9E7F2.777F427@gmx.de http://news.povray.org/3CF9E7F2.777F427@gmx.de
Subject: More Balls (623+376k) Date: Wed, 05 Jun 2002 12:13:54 +0200 Newsgroups: povray.binaries.animations From: Christoph Hormann <firstname.lastname@example.org> news://news.povray.org/3CFDE462.AD6E8C74@gmx.de http://news.povray.org/3CFDE462.AD6E8C74@gmx.de
As part of a dynamics simulation course at university i also did some simulation on crane models. Here are two of them calculated with the POV-SDL based system like those above.
|Animation 8: small crane (mpeg, 512x384, 1246k)||Animation 9: larger crane collapsing under it's weight (mpeg, 512x384, 280k)|
The color of the connection represents the stress according to the following color map:
Apart from these i also made some simulations of more complicated crane models with a faster simulation system developed by the Institut für Dynamik und Schwingungen.