SYSTEMS AND METHODS FOR DETERMINING MASS PROPERTIES OF A MODELED OBJECT

Methods for product design and corresponding systems and computer-readable mediums. A method includes receiving a modeled object having a surface and a non-homogeneous density distribution. The method includes tessellating the surface of the object into a set of triangles defined by triangle vertices. The method includes selecting a reference point for the object. The method includes, for each triangle in the tessellation, constructing a tetrahedron, the tetrahedron defined by tetrahedron vertices that include the vertices of the corresponding triangle and the reference point, determining a material density at each of the tetrahedron vertices, and computing mass properties for the tetrahedron using the material density at each of the tetrahedron vertices. The method includes aggregating the mass properties of the tetrahedrons. The method includes storing the aggregated mass properties of the tetrahedrons as the mass properties of the object.