Struct MassProperties 

pub struct MassProperties {
    pub volume: Scalar,
    pub mass: Scalar,
    pub center: Vector3,
    pub inertia: [[Scalar; 3]; 3],
    pub converged: bool,
    pub evaluations: usize,
}

The mass properties of a body: its volume, its mass, where its centre of mass is and its inertia tensor about it. (The area of its boundary is no mass property, and costs more to integrate: see Model::solid_area.)

Every value is an enclosure in the sense of geop_core_math::quadrature: proven as far as interval arithmetic goes, widened by the quadrature’s estimate of its truncation error — converged says whether that estimate came within the tolerance asked.

Fields

volume: Scalar

mass: Scalar

The volume times the density: the volume itself, until a density is given (see MassProperties::with_density).

center: Vector3

inertia: [[Scalar; 3]; 3]

The inertia tensor about center, along the world’s axes: I_ij = ∫ ρ (|r|² δ_ij - r_i r_j) dV, r measured from center — with ρ = 1 until a density is given.

converged: bool

evaluations: usize

How many surface points the integration took: the work it did.

Implementations

impl MassProperties

pub fn with_density(&self, density: Scalar) -> Self

The body of density one (see Model::mass_properties) made of a uniform density: its mass and inertia that many times.

pub fn placed(&self, pose: &Pose) -> GeopResult<Self>

The body moved by pose: its centre moved, its inertia turned with it (R I Rᵀ).

pub fn combine(parts: &[Self]) -> GeopResult<Option<Self>>

The bodies parts taken together: masses, volumes and areas added, the centre their mass-weighted mean, and each inertia moved to it by the parallel axis theorem. None for no parts.

pub fn principal(&self) -> GeopResult<PrincipalAxes>

The principal moments of inertia and their axes.

Trait Implementations

impl Clone for MassProperties

fn clone(&self) -> MassProperties

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Copy for MassProperties

impl Debug for MassProperties

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.