Add documentation of ellipsoid-based fluid drag model.
PiperOrigin-RevId: 566935233 Change-Id: I45980ea2def06d5ffd9091c49543b737b864701d
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@@ -48,11 +48,12 @@ Soft, convex and analytically-invertible contact dynamics
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In the modern approach to contact dynamics, the forces or impulses caused by frictional contacts are usually defined
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as the solution to a linear or non-linear complementarity problem (LCP or NCP), both of which are NP-hard. MuJoCo is
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based on a different formulation of the physics of contact which reduces to a convex optimization problem, as
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explained in detail in the :doc:`computation` chapter. Our model allows soft contacts and other constraints, and has
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a uniquely-defined inverse facilitating data analysis and control applications. There is a choice of optimization
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algorithms, including a generalization to the projected Gauss-Seidel method that can handle elliptic friction cones.
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The solver provides unified treatment of frictional contacts including torsional and rolling friction, frictionless
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contacts, joint and tendon limits, dry friction in joints and tendons, as well as a variety of equality constraints.
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explained in detail in the :doc:`computation/index` chapter. Our model allows soft contacts and other constraints,
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and has a uniquely-defined inverse facilitating data analysis and control applications. There is a choice of
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optimization algorithms, including a generalization to the projected Gauss-Seidel method that can handle elliptic
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friction cones. The solver provides unified treatment of frictional contacts including torsional and rolling
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friction, frictionless contacts, joint and tendon limits, dry friction in joints and tendons, as well as a variety of
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equality constraints.
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Tendon geometry
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MuJoCo can model the 3D geometry of tendons - which are minimum-path-length strings obeying wrapping and via-point
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@@ -746,13 +747,13 @@ multi-threading, but we do so in a way that is different from how object-oriente
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Softness and slip
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~~~~~~~~~~~~~~~~~
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As we will explain at length in the :doc:`computation` chapter, MuJoCo is based on a mathematical model of the physics
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of contact and other constraints. This model is inherently soft, in the sense that pushing harder against a constraint
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will always result in larger acceleration, and so the inverse dynamics can be uniquely defined. This is desirable
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because it yields a convex optimization problem and enables analyses that rely on inverse dynamics, and furthermore,
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most contacts that we need to model in practice have some softness. However once we allow soft constraints, we are
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effectively creating a new type of dynamics -- namely deformation dynamics -- and now we must specify how these dynamics
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behave. This calls for elaborate parameterization of contacts and other constraints, involving the attributes
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As we will explain at length in the :doc:`computation/index` chapter, MuJoCo is based on a mathematical model of the
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physics of contact and other constraints. This model is inherently soft, in the sense that pushing harder against a
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constraint will always result in larger acceleration, and so the inverse dynamics can be uniquely defined. This is
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desirable because it yields a convex optimization problem and enables analyses that rely on inverse dynamics, and
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furthermore, most contacts that we need to model in practice have some softness. However once we allow soft constraints,
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we are effectively creating a new type of dynamics -- namely deformation dynamics -- and now we must specify how these
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dynamics behave. This calls for elaborate parameterization of contacts and other constraints, involving the attributes
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:at:`solref` and :at:`solimp` that can be set per constraints and will be described later.
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An often confusing aspect of this soft model is that gradual contact slip cannot be avoided. Similarly, frictional
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