4.0 NODAL COORDINATE DATA

NODAL_COORDINATES

NODAL_COORDINATES generation_type = type, etc...

n, numgp, (x(i, n) , i = 1 , nsd)

< etc..., terminate with a blank record >

Create the list of nodal coordinates. Two options are available. The coordinates may be read in directly as a list (optionally from another file), or may be generated.

Note	Variable Name	Type	Default	Description
(1)	Generation_type	list	[*]	Generation case
	list
	Cartesian
	Cylindrical
	Spherical
	Lattice
(2)	Reference_coordinates
	x_0 , y_0, z_0	real	[origin]	Reference coordinates (if needed)
	Reference_direction_axes
	n_x(1), n_y(1), n_z(1)	real	[ref. axes]	Reference direction axes (if needed)
	n_x(2), n_y(2), n_z(2)
	n_x(3), n_y(3), n_z(3)
(3)	Scaling_factor	real	[1.0]	Scaling factor
	File_name	string	[none]	File name (optional). Name must be
				enclosed in quotation marks.

• No Generation (List) Case

Nodal coordinates must follow in the form:

< Node_number , X_coordinate , Y_coordinate , Z_coordinate >

< etc..., terminate with a blank record >

• Generation Case

Nodal Coordinate Generation Data must follow.

< terminate with a blank record >

EXAMPLE

Nodal_coordinates /

file_name = "coordinate_file" # read coordinates from file: coordinate_file

EXAMPLE

Nodal_coordinates /

Generation_type = cylindrical / # Select cylindrical generation

Reference_coordinates /

X_0 = 0.0 Y_0 = 0.0 / # Reference point at origin

Reference_direction_axes /

n_x(1) = 1.0 , n_y(1) = 0.0 / # Reference directions coincide

n_x(2) = 0.0 , n_y(2) = 1.0 # with reference axes in this case

Nodal Coordinate Generation Data follow

Notes/

(1) In the case of Generation_type = list, no generation is used and the nodal coordinates are entered in the same format as in the file method.

(2) The default is x₀ = 0, and n₁ = e₁ = {1, 0, 0}, n₂ = e₂ = {0, 1, 0}, and n₃ = e₃ = {0, 0, 1} where [e₁, e₂, e₃] is the triad of unit base vectors used for the global reference rectangular Cartesian axes. The coordinates are first computed as x in the set of coordinate axes defined by the reference direction axes {n₁, n₂, n₃}, and thereafter referred to the global coordinate axes as x via the following translation and rotation:

x = x₀ + R ^. x

where R = [n₁, n₂, n₃], and x₀ = reference point. Note that the reference direction vectors n_I

(I =1, nsd) are restricted to be orthogonal to each other, viz.,

n_i ^. n_j = _ij

_{(3) The coordinate may be scaled as:}