WOLFRAM SYSTEMMODELER

Surface

Visualizing a moveable, parameterized surface; the surface characteristic is provided by a function

Wolfram Language

In[1]:=
SystemModel["Modelica.Mechanics.MultiBody.Visualizers.Advanced.Surface"]
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Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

Model Surface defines a moveable, parametrized surface in 3-dim. space that is used for animation. This object is specified by:

  • The surface frame (orientation object "R" and origin "r_0") in which the data is specified.
  • A set of two parameters, one in u- and one in v-direction, that defines the control points.
  • A time-varying position of each control point with respect to the surface frame.

The parameter values (u,v) are given by the ordinal numbers of the corresponding control point in u- or in v-direction, respectively. The surface is then defined by the replaceable function "surfaceCharacteristic" with the interface partialSurfaceCharacteristic that returns the x-, y-, z- coordinate of every control point in form of 3 arrays X, Y, Z, and an optional color array C, if every control point shall have a different color:

  Real X[nu,nv], Y[nu,nv], Z[nu,nv], C[nu,nv,3];

An example of a parameterized surface with color coding is shown in the next figure:

Models Torus, VoluminousWheel, PipeWithScalarField, demonstrate how new visualizer objects can be constructed with the Surface model.
The direct usage of the Surface model, as well as of the Torus and the VoluminousWheel models, are demonstrated with example Examples.Elementary.Surfaces.

Parameters (4)

nu

Value: 2

Type: Integer

Description: Number of points in u-Dimension

nv

Value: 2

Type: Integer

Description: Number of points in v-Dimension

wireframe

Value: false

Type: Boolean

Description: = true: 3D model will be displayed without faces

multiColoredSurface

Value: false

Type: Boolean

Description: = true: Color is defined for each surface point

Inputs (5)

R

Default Value: Frames.nullRotation()

Type: Orientation

Description: Orientation object to rotate the world frame into the surface frame

r_0

Default Value: {0, 0, 0}

Type: Position[3] (m)

Description: Position vector from origin of world frame to origin of surface frame, resolved in world frame

color

Default Value: {255, 0, 0}

Type: Real[3]

Description: Color of surface

specularCoefficient

Default Value: 0.7

Type: SpecularCoefficient

Description: Reflection of ambient light (= 0: light is completely absorbed)

transparency

Default Value: 0

Type: Real

Description: Transparency of shape: 0 (= opaque) ... 1 (= fully transparent)

Components (1)

R

Type: Orientation

Description: Orientation object to rotate the world frame into the surface frame

Used in Examples (1)

Surfaces

Modelica.Mechanics.MultiBody.Examples.Elementary

Demonstrate the visualization of a sine surface, as well as a torus and a wheel constructed from a surface

Used in Components (4)

Torus

Modelica.Mechanics.MultiBody.Visualizers

Visualizing a torus

VoluminousWheel

Modelica.Mechanics.MultiBody.Visualizers

Visualizing a voluminous wheel

Rectangle

Modelica.Mechanics.MultiBody.Visualizers

Visualizing a planar rectangular surface

PipeWithScalarField

Modelica.Mechanics.MultiBody.Visualizers.Advanced

Visualizing a pipe with a scalar field