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. More...

Static Public Member Functions
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)

static tmp< tensorField >	meshInertia (const polyMesh &mesh)

static tensor	meshInertia (const polyMesh &mesh, label celli)

Detailed 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:

    "Fast and Accurate Computation of Polyhedral Mass Properties",
    Brian Mirtich,
    Journal of Graphics Tools, Volume 1, Number 2, 1996.

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

Source files

Definition at line 61 of file momentOfInertia.H.

Member Function Documentation

◆ massPropertiesSolid() [1/2]

void massPropertiesSolid	(	const pointField &	pts,
		const triFaceList &	triFaces,
		scalar	density,
		scalar &	mass,
		vector &	cM,
		tensor &	J
	)

static

Definition at line 28 of file momentOfInertia.C.

References forAll, Foam::I, n, Vector< Cmpt >::x(), Tensor::xx(), Tensor::xy(), Tensor::xz(), Vector< Cmpt >::y(), Tensor::yx(), Tensor::yy(), Tensor::yz(), Vector< Cmpt >::z(), Foam::Zero, Tensor::zx(), Tensor::zy(), and Tensor::zz().

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◆ massPropertiesShell() [1/2]

void massPropertiesShell	(	const pointField &	pts,
		const triFaceList &	triFaces,
		scalar	density,
		scalar &	mass,
		vector &	cM,
		tensor &	J,
		bool	doReduce = `false`
	)