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COMSOL Multiphysics™

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loft<br />

gl{2} and so on. It is required that v1([1 2],1) are the end points on the same<br />

curve.<br />

Only one of these properties is allowed. If, however, none is specified then the<br />

property/value-pair LoftSgnEdge with the value {[1:nbs],[1:nbs],...} is used<br />

as default, where nbs is the number of edges in gl{1}. This means that the edges<br />

are considered in order, and is useful for lofting between sections that are simple or<br />

similar to each other.<br />

The properties LoftSecPos or Wrkpln are used to specify the geometrical data of<br />

each section.<br />

The property LoftSecPos with the value {D,V,R} has the following meaning:<br />

D is either a 1-by-(ng-1) vector or a 3-by-ng matrix that specifies the position for<br />

each geometry section. If D is a vector, it contains real numbers that specifies the<br />

relative displacement in the local z-direction between each pair of consecutive<br />

sections in gl, where it is assumed that gl{1} is positioned at z = 0. If D is a matrix,<br />

then each column specifies the 3D displacements for each of the sections in gl.<br />

Rows 1, 2 and 3 specifies the displacements in the x-, y- and z-direction respectively.<br />

V is either a 2-by-ng or a 3-by-ng matrix specifying the tilt-rotations of the geometry<br />

objects. If V is a 2-by-ng matrix, then each column specifies rotational angles in<br />

spherical coordinates. V(1,:) are the polar angles, that is, the angles between<br />

directional normals of each object and the positive z-axis, and V(2,:) are the<br />

azimuthal angles of the directional normals. If V is a 3-by-ng matrix, then each<br />

column specifies a directional normal vector for each section.<br />

R is a 1-by-ng vector that specifies the intrinsic rotation of the geometry sections.<br />

Every element of R is a rotational angle, in radians, with respect to the local z-axis.<br />

The alternative syntax is the property Wrkpln with the value {T1,T2,...}, where<br />

Ti is a matrix of size 3-by-3. Here Ti is understood to specify the work plane for<br />

section gl{i}. See geomgetwrkpln for more information on work planes.<br />

Only one of these properties is allowed. If none is specified then the property<br />

LoftSecPos with the value {ones(1,ng-1),zeros(2,ng),zeros(1,ng)} is used<br />

as default. Moreover, if any of the cells D, V, or R is left empty, the default value is<br />

used for that cell.<br />

The property LoftWeights specifies the relative significance of the geometry<br />

sections with respect to tangential continuity. This argument has no meaning for<br />

linear lofting and is then ignored.<br />

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