﻿VolumeMassProperties Class

# VolumeMassProperties Class

Contains static initialization methods and allows access to the computed metrics of volume, volume centroid and volume moments in in solid meshes, in solid surfaces and in solid (closed) boundary representations.
Inheritance Hierarchy
SystemObject
Rhino.GeometryVolumeMassProperties

Namespace:  Rhino.Geometry
Assembly:  RhinoCommon (in RhinoCommon.dll)
Syntax
`public class VolumeMassProperties : IDisposable`

The VolumeMassProperties type exposes the following members.

Properties
NameDescription
Centroid
Gets the volume centroid in the world coordinate system.
CentroidCoordinatesMomentsOfInertia
Moments of inertia with respect to centroid coordinate system. X = integral of ((y-y0)^2 + (z-z0)^2) dm Y = integral of ((z-z0)^2 + (x-x0)^2) dm Z = integral of ((z-z0)^2 + (y-y0)^2) dm where (x0,y0,z0) = centroid.
CentroidCoordinatesMomentsOfInertiaError
Uncertainty in centroid coordinates moments of inertia calculation.
CentroidCoordinatesProductMoments
Product moments with respect to centroid coordinate system.
CentroidCoordinatesProductMomentsError
Uncertainty in product moments with respect to centroid coordinate system.
Radii of gyration with respect to centroid coordinate system. X = sqrt(integral of ((y-y0)^2 + (z-z0)^2) dm/M) Y = sqrt(integral of ((z-z0)^2 + (x-x0)^2) dm/M) Z = sqrt(integral of ((z-z0)^2 + (y-y0)^2) dm/M) where (x0,y0,z0) = centroid.
CentroidCoordinatesSecondMoments
Second moments with respect to centroid coordinate system. X = integral of (x-x0)^2 dm Y = integral of (y-y0)^2 dm Z = integral of (z-z0)^2 dm where (x0,y0,z0) = centroid.
CentroidCoordinatesSecondMomentsError
Uncertainty in centroid coordinates second moments calculation.
CentroidError
Gets the uncertainty in the Centroid calculation.
Volume
Gets the volume solution.
VolumeError
Gets the uncertainty in the volume calculation.
WorldCoordinatesFirstMoments
Returns the world coordinate first moments if they were able to be calculated. X is integral of "x dm" over the volume Y is integral of "y dm" over the volume Z is integral of "z dm" over the volume.
WorldCoordinatesFirstMomentsError
Uncertainty in world coordinates first moments calculation.
WorldCoordinatesMomentsOfInertia
The moments of inertia about the world coordinate axes. X = integral of (y^2 + z^2) dm Y = integral of (z^2 + x^2) dm Z = integral of (z^2 + y^2) dm.
WorldCoordinatesMomentsOfInertiaError
Uncertainty in world coordinates moments of inertia calculation.
WorldCoordinatesProductMoments
Returns the world coordinate product moments if they were able to be calculated. X is integral of "xy dm" over the area Y is integral of "yz dm" over the area Z is integral of "zx dm" over the area.
WorldCoordinatesProductMomentsError
Uncertainty in world coordinates second moments calculation.
Radii of gyration with respect to world coordinate system. X = sqrt(integral of (y^2 + z^2) dm/M) Y = sqrt(integral of (z^2 + x^2) dm/M) Z = sqrt(integral of (z^2 + y^2) dm/M)
WorldCoordinatesSecondMoments
Returns the world coordinate second moments if they were able to be calculated. X is integral of "xx dm" over the area Y is integral of "yy dm" over the area Z is integral of "zz dm" over the area.
WorldCoordinatesSecondMomentsError
Uncertainty in world coordinates second moments calculation.
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Methods
NameDescription
CentroidCoordinatesPrincipalMoments
Calculates the eigenvalues and eigenvectors of the moments matrix with repect to centroid coordinates.
CentroidCoordinatesPrincipalMomentsOfInertia
Calculates the principal moments of inertia and principal axes with repect to centroid coordinates.
Compute(Brep)
Compute the VolumeMassProperties for a single Brep.
Compute(IEnumerableGeometryBase)
Computes the VolumeMassProperties for a collection of geometric objects. At present only Breps, Surfaces, and Meshes are supported.
Compute(Mesh)
Compute the VolumeMassProperties for a single Mesh.
Compute(Surface)
Compute the VolumeMassProperties for a single Surface.
Compute(Brep, Boolean, Boolean, Boolean, Boolean)
Compute the VolumeMassProperties for a single Brep.
Compute(IEnumerableGeometryBase, Boolean, Boolean, Boolean, Boolean)
Computes the VolumeMassProperties for a collection of geometric objects. At present only Breps, Surfaces, Meshes and Planar Closed Curves are supported.
Compute(Mesh, Boolean, Boolean, Boolean, Boolean)
Compute the VolumeMassProperties for a single Mesh.
Compute(Surface, Boolean, Boolean, Boolean, Boolean)
Compute the VolumeMassProperties for a single Surface.
Dispose
Actively reclaims unmanaged resources that this instance uses.
Dispose(Boolean)
For derived class implementers.

This method is called with argument true when class user calls Dispose(), while with argument false when the Garbage Collector invokes the finalizer, or Finalize() method.

You must reclaim all used unmanaged resources in both cases, and can use this chance to call Dispose on disposable fields if the argument is true.

Also, you must call the base virtual method within your overriding method.

Equals
Determines whether the specified object is equal to the current object.
(Inherited from Object.)
Finalize
Passively reclaims unmanaged resources when the class user did not explicitly call Dispose().
(Overrides ObjectFinalize.)
GetHashCode
Serves as the default hash function.
(Inherited from Object.)
GetType
Gets the Type of the current instance.
(Inherited from Object.)
MemberwiseClone
Creates a shallow copy of the current Object.
(Inherited from Object.)
Sum
Sum mass properties together to get an aggregate mass.
ToString
Returns a string that represents the current object.
(Inherited from Object.)
WorldCoordinatesPrincipalMoments
Calculates the eigenvalues and eigenvectors of moments matrix in world coordinates.
WorldCoordinatesPrincipalMomentsOfInertia
Calculates the principal moments of inertia and principal axes with repect to world coordinates.
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