From 05f3e914b0a02a1dc07f33f29d0c63abb414031b Mon Sep 17 00:00:00 2001 From: Yuval Tassa Date: Tue, 1 Apr 2025 01:16:06 -0700 Subject: [PATCH] Improve armature documentation PiperOrigin-RevId: 742583729 Change-Id: I18d1c95a91f4d70b842c680d4a0f4d0b04476894 --- doc/XMLreference.rst | 20 +++++++++++++++--- doc/images/XMLreference/armature.gif | Bin 0 -> 137047 bytes doc/images/XMLreference/armature_dark.gif | Bin 0 -> 149304 bytes test/engine/testdata/armature_equivalence.xml | 15 ++++++++++--- 4 files changed, 29 insertions(+), 6 deletions(-) create mode 100644 doc/images/XMLreference/armature.gif create mode 100644 doc/images/XMLreference/armature_dark.gif diff --git a/doc/XMLreference.rst b/doc/XMLreference.rst index 5d052472..1c1854bb 100644 --- a/doc/XMLreference.rst +++ b/doc/XMLreference.rst @@ -2151,14 +2151,28 @@ rotations as unit quaternions. corresponding to mjModel.qpos_spring is also used to compute the spring reference lengths of all tendons, stored in mjModel.tendon_lengthspring. This is because :ref:`tendons ` can also have springs. +.. image:: images/XMLreference/armature.gif + :width: 40% + :align: right + :class: only-light + :target: https://github.com/google-deepmind/mujoco/blob/main/test/engine/testdata/armature_equivalence.xml +.. image:: images/XMLreference/armature_dark.gif + :width: 40% + :align: right + :class: only-dark + :target: https://github.com/google-deepmind/mujoco/blob/main/test/engine/testdata/armature_equivalence.xml + .. _body-joint-armature: :at:`armature`: :at-val:`real, "0"` Additional inertia associated with movement of the joint that is not due to body mass. This added inertia is usually due to a rotor (a.k.a `armature `__) spinning faster than the - joint itself due to a geared transmission; in this case the added inertia is known as "reflected inertia" and its - value is the rotational inertia of the spinning element multiplied by the square of the gear ratio. The value applies - to all degrees of freedom created by this joint. + joint itself due to a geared transmission. In the illustration, we compare (*left*) a 2-dof system with an armature + body (purple box), coupled with a gear ratio of :math:`3` to the pendulum using a :ref:`joint + equality` constraint, and (*right*) a simple 1-dof pendulum with an equivalent :at:`armature`. + Because the gear ratio appears twice, multiplying both forces and lengths, the effect is known as "reflected + inertia" and the equivalent value is the inertia of the spinning body multiplied by the *square of the gear ratio*, + in this case :math:`9=3^2`. The value applies to all degrees of freedom created by this joint. Besides increasing the realism of joints with geared transmission, positive :at:`armature` significantly improves simulation stability, even for small values, and is a recommended possible fix when encountering stability issues. diff --git a/doc/images/XMLreference/armature.gif b/doc/images/XMLreference/armature.gif new file mode 100644 index 0000000000000000000000000000000000000000..93f0e5833e58bfebba5b01f17979470b22b72e0a GIT binary patch literal 137047 zcmaIdeK^yN|M36!?uTK-NTaz8Ns_d*G|b(Sh9wD2ElEowNm|-wZj(k5S{g}`G?FBz zHuq_1BvH~xl2ofxlEk(1bAGSm`d-KN{r&vC!{In~_wanZUY_0__>JLPL3O|h05D!s z^L3{NxVcc=?QQKKpv5J?_!krg0hRz8K>72}!_ubfnOuK|y3EhDyc42>K8(LA ziJSP18U1WZ+!sK;ExeSSk~IFNTT>OY)mA6WV@=#%pWlQ0 znLCW(;eiC|+Ro0_*RrOE_Ztn=SB*V;aN#gvr{|$PPDa^uLT!S=)@Z}SD?<@p`I(6V zhG(I)N!FIJbAzP^pXobU9>LgVJKM@L)m3du^$R0Y?Tt{Q*Y;0U#T6WJPmQQ*X)YU- zJ=;Y%>S__vQ?REZ<|ElLvYo$ss4yfYnwm`8e2ca1@-gqS1afgv)=2mC+hTfDFt4vT zBtN#z-|?z3O^ghWb+`3DYq^y$Q_ZF3N06K>Lj0X#TC#m^C4RCnai}lvPYQEL 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