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Calculating inertial tensor for roboitc links with pymeshlab for Gazebo robots

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URDF Inertia Calculator

Just run the main.py in the same folder of your robot link 3d file, type the filename and the mass and copy the XML output to your URDF.

Preperation

You have to install the pymeshlab package to run this script.

Background

You want to calculate the intertial properties for your robots link. In the following this will be done for example for the Cylinder.dae file, a simple cylinder 4 metres high and 2 metres in diameter. We assume this Cylinder has a mass of 5kg.

Refering Wikipedia the inertia tensor for a cylinder can be calculated by:

which results in [7.91667, 7.91667, 2.50000] for the diagonal entries with h=4, r=1.

Usage

Calculating the URDF inertia tag for the Cylinder.dae file can be done by typing:

python3 main.py

You will be asked to type the filename and the weight of your 3D object. For example, fill Cylinder.dae and 5.

The whole process is based on this tutorial: Inertial parameters of triangle meshes

At first the script calculates the center of mass of the object. After that it scales the mesh by a factor of 100 to increase the numerical accuracy. You could manually change that, if you need to scale it more up. Now the convex hull of your object will be calculated. For the hull the geometric properties will be calculated, scaled back down and outputted as URDF XML inertial tag like that (the precision could also be changed in the script):

<inertial>
  <origin xyz="0.00000002 -0.00000001 0.00000000"/>
  <mass value="5.00000000"/>
  <inertia ixx="7.90866056" ixy="0.00000006" ixz="0.00000000" iyy="7.90866060" iyz="0.00000000" izz="2.48398783"/>
</inertial>

Looks pretty similar to the manually calculated values, doesn't it? ;)

Licence

The MeshLabInertiaToURDF source is released under the GPLv3 License.

Copyright

MeshLabInertiaToURDF

Maximilian von Unwerth
von-unwerth.de
Copyright(C) 2022
All rights reserved.

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Calculating inertial tensor for roboitc links with pymeshlab for Gazebo robots

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