momentOfInertia.H

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    Copyright (C) 2011-2016 OpenFOAM Foundation
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License
    This file is part of OpenFOAM.
 
    OpenFOAM is free software: you can redistribute it and/or modify it
    under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.
 
    OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
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    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
    for more details.
 
    You should have received a copy of the GNU General Public License
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Class
    Foam::momentOfInertia
 
Description
    Calculates the inertia tensor and principal axes and moments of a
    polyhedra/cells/triSurfaces.  Inertia can either be of the solid body or
    of a thin shell.
 
    References:
    \verbatim
        "Fast and Accurate Computation of Polyhedral Mass Properties",
        Brian Mirtich,
        Journal of Graphics Tools, Volume 1, Number 2, 1996.
    \endverbatim
 
    https://people.eecs.berkeley.edu/~jfc/mirtich/massProps.html
    https://people.eecs.berkeley.edu/~jfc/mirtich/papers/volInt.ps.gz
    https://people.eecs.berkeley.edu/~jfc/mirtich/code/volumeIntegration.tar
 
SourceFiles
    momentOfInertia.H
 
\*---------------------------------------------------------------------------*/
 
#ifndef momentOfInertia_H
#define momentOfInertia_H
 
#include "triFaceList.H"
#include "triSurface.H"
#include "polyMesh.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
 
/*---------------------------------------------------------------------------*\
                     Class momentOfInertia Declaration
\*---------------------------------------------------------------------------*/
 
class momentOfInertia
{
 
public:
 
    static void massPropertiesSolid
    (
        const pointField& pts,
        const triFaceList& triFaces,
        scalar density,
        scalar& mass,
        vector& cM,
        tensor& J
    );
 
    static void massPropertiesShell
    (
        const pointField& pts,
        const triFaceList& triFaces,
        scalar density,
        scalar& mass,
        vector& cM,
        tensor& J,
        bool doReduce = false
    );
 
    static void massPropertiesSolid
    (
        const triSurface& surf,
        scalar density,
        scalar& mass,
        vector& cM,
        tensor& J
    );
 
    static void massPropertiesShell
    (
        const triSurface& surf,
        scalar density,
        scalar& mass,
        vector& cM,
        tensor& J,
        bool doReduce = false
    );
 
    static void massPropertiesPatch
    (
        const polyPatch& pp,
        scalar density,
        scalar& mass,
        vector& cM,
        tensor& J,
        bool doReduce = false
    );
 
    static tensor applyParallelAxisTheorem
    (
        scalar mass,
        const vector& cM,
        const tensor& J,
        const vector& refPt
    );
 
    // Calculate the inertia tensor for all cells in the mesh
    static tmp<tensorField> meshInertia
    (
        const polyMesh& mesh
    );
 
    // Calculate the inertia tensor the given cell
    static tensor meshInertia
    (
        const polyMesh& mesh,
        label celli
    );
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //