DTPG
Bulk Data Entry Defines parameters for the generation of topography design variables.
Format
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) | 
|---|---|---|---|---|---|---|---|---|---|
| DTPG | ID | TYPE | PID1/ SID1 /DVID  | 
PID2/ SID2  | 
PID3/ SID3  | 
PID4/ SID4  | 
PID5/ SID5  | 
PID6/ SID6  | 
|
| PID7/ SID7  | 
etc | etc | etc | etc | etc | etc | |||
| MW | ANG | BF | HGT | Norm/ XD  | 
YD | ZD | SKIP | ||
| MAXW | MAXWTH | MINHGT | ZEROB | ||||||
| PATRN | TYP | AID/ XA  | 
YA | ZA | FID/ XF  | 
YF | ZF | ||
| PATRN2 | UCYC | SID/ XS  | 
YS | ZS | |||||
| BOUNDS | LB | UB | INIT | DDVAL | |||||
| AUTOBEAD | LAYER | REMESH | 
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) | 
|---|---|---|---|---|---|---|---|---|---|
| MAIN | |||||||||
| COORD | CID | CAID/ XCA  | 
                                YCA | ZCA | CFID/ XCF  | 
                                YCF | ZCF | ||
| CSID/ XCS  | 
                                YCS | ZCS | CTID/ XCT  | 
                                YCT | ZCT | 
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) | 
|---|---|---|---|---|---|---|---|---|---|
| SECOND | DTPG_ID | SX | SY | SZ | |||||
| COORD | CID | CAID/ XCA  | 
                                YCA | ZCA | CFID/ XCF  | 
                                YCF | ZCF | ||
| CSID/ XCS  | 
                                YCS | ZCS | CTID/ XCT  | 
                                YCT | ZCT | 
Example 1
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) | 
|---|---|---|---|---|---|---|---|---|---|
| DTPG | 1 | PSHELL | 1 | 9 | 23 | ||||
| 3.0 | 60.0 | Yes | 5.0 | Norm | both | ||||
| PATRN | 50 | 0.0 | 25.0 | 0.0 | 0.0 | 1.0 | 0.0 | ||
| PATRN2 | 3 | 1.0 | 0.0 | 0.0 | |||||
| BOUNDS | -1.0 | 1.0 | 
Example 2
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) | 
|---|---|---|---|---|---|---|---|---|---|
| DTPG | 1 | DVGRID | 1 | ||||||
| 5.0 | 75.0 | YES | |||||||
| BOUNDS | 0.0 | 1.0 | 
Definitions
| Field | Contents | SI Unit Example | 
|---|---|---|
| ID | Each
                                    DTPG card must have a unique ID. No default (Integer > 0)  | 
                            |
| TYPE | Indicate whether
                                    DTPG card is defined for PSHELL, PCOMP, DVGRID, SET or STACK (Laminate). No default  | 
                            |
| PID#/SID#/DVID | If TYPE
                                is PSHELL or PCOMP, then this
                                entry is a Property identification number. Use ALL if it applies to all properties of type PTYPE
                                in the model. Numerous PIDs may be given. If TYPE is DVGRID, this entry is the Design Variable number for a set of DVGRIDs. Only one DVID may be given. If TYPE is SET, this entry is a SET identification number referring to a set of elements. If TYPE is STACK, this entry is a STACK (Laminate) identification number. Numerous STACK ID's may be provided. Default = ALL (Integer > 0, blank or ALL)  | 
                            |
| MW | Bead minimum width. This
                                parameter controls the width of the beads in the model [recommended
                                value between 1.5 and 2.5 times the average element width]. 1 No default (Real > 0.0)  | 
                            |
| ANG | Draw angle in degrees.
                                This parameter controls the angle of the sides of the beads
                                (recommended value between 60 and 75 degrees). 1 No default (1.0 < Real < 89.0)  | 
                            |
| BF | Buffer zone. This
                                parameter will establish a buffer zone between elements in the
                                design domain and elements outside the design domain. 2
  | 
                            |
| HGT | Draw height. This
                                parameter sets the maximum height of the beads to be drawn. This
                                field is only valid if TYPE is
                                    PSHELL or PCOMP. No default (Real > 0.0)  | 
                            |
| norm/XD,YD,ZD | Draw direction. If
                                    norm/XD field is 'norm',
                                the shape variables will be created in the normal directions of the
                                elements. If all the fields are real, the shape variable will be
                                created in the direction specified by the xyz vector defined by the
                                three fields. The X, Y, and Z values are in the global coordinate
                                system. This field is only valid if TYPE is
                                    PSHELL or PCOMP. Default = NORM (NORM in norm/XD field or Real in all three fields)  | 
                            |
| SKIP | Boundary skip. This
                                parameter tells OptiStruct to leave
                                certain nodes out of the design domain.
  | 
                            |
| MAXW | Indicates that maximum bead width control is active. | |
| MAXWTH | Maximum width of beads.
                                This parameter can be used to prevent the formation of large beads.
                                It should be at least twice the value of the minimum bead width
                                (MW).  No default (Real > 0.0)  | 
                            |
| MINHGT | Minimum height ratio to be
                                considered as bead. Only the beads with height greater than
                                MINHGT*HGT would be counted in maximum width constraint.  Default = 0.5 (Real ≥ 0.0)  | 
                            |
| ZEROB | Indicates whether the
                                width control is applied to the beads with zero height. 
  | 
                            |
| PATRN | Indicates that variable pattern grouping is active. Indicates that information about the pattern group will follow. | |
| TYP | Type of variable grouping
                                pattern. Required if any symmetry or variable pattern grouping is
                                desired. If zero or blank, anchor node, first vector, and second
                                vector definitions are ignored. If less than 20, second vector
                                definition is ignored. 4 Default = 0 (Integer ≥ 0)  | 
                            |
| AID/XA,YA,ZA | Variable grouping pattern
                                anchor point. These fields define a point that determines how grids
                                are grouped into variables. 3 The X, Y, and Z values are in the
                                global coordinate system. You may put a grid ID in the
                                    AID/XA field to define the
                                anchor point. Default = origin (Real in all three fields or Integer in AID/XA field)  | 
                            |
| FID/XF,YF,ZF | Direction of first vector
                                for variable pattern grouping. These fields define a xyz vector
                                which determines how grids are grouped into variables. 3 The X, Y, and Z values are in the
                                global coordinate system. You may put a grid ID in the
                                    FID/XF field to define the
                                first vector. This vector goes from the anchor point to this grid.
                                If all fields are blank and the TYP field is not
                                blank or zero, OptiStruct gives an
                                    error. No default  | 
                            |
| PATRN2 | Indicates variable pattern grouping continuation card. This card is only required when a second vector is needed to define the pattern grouping. | |
| UCYC | Number of cyclical
                                repetitions for cyclical symmetry. This field defines the number of
                                radial "wedges" for cyclical symmetry. The angle of each wedge is
                                computed as 360.0/UCYC. 4 Default = 0 (Integer ≥ 0 or blank)  | 
                            |
| SID/XS,YS,ZS | Direction used to
                                determine second vector for variable pattern grouping. These fields
                                define a xyz vector which, when combined with the first vector, form
                                a plane. The second vector is calculated to lie in that plane and is
                                perpendicular to the first vector. The second vector is sometimes
                                required to determine how grids are grouped into variables. 3 The X, Y, and Z values are in the
                                global coordinate system. You may put a grid ID in the
                                    SID/XS field to define the
                                second vector. This vector goes from the anchor point to this grid.
                                If all fields are blank and the TYP field
                                contains a value of 20 or higher, OptiStruct gives an error. No default  | 
                            |
| BOUNDS | Indicates that information on upper and lower limits and the initial value for grid movement are to follow. | |
| LB | Lower bound on variables
                                controlling grid movement. This sets the lower bound on grid
                                movement equal to
                                    LB*HGT. Default = 0.0 (Real < UB)  | 
                            |
| UB | Upper bound on variables
                                controlling grid movement. This sets the upper bound on grid
                                movement equal to
                                    UB*HGT. Default = 1.0 (Real > LB)  | 
                            |
| INIT | The initial value of the
                                variables controlling grid movement. This sets the initial value on
                                grid movement equal to
                                    INIT*HGT. Default = LB + factor*(UB-LB), if LB > 0.0 and UB > 0.0 Default = UB - factor*(UB-LB), if LB < 0.0 and UB < 0.0 Default = factor*max(abs(LB),UB), if LB < 0.0 and UB > 0.0 where: 
  | 
                            |
| DDVAL | ID of
                                    DDVAL entry that provides a set of discrete
                                values.  (Blank or Integer > 0; Default = blank for continuous design variables)  | 
                            |
| AUTOBEAD | Indicates that AUTOBEAD of OSSmooth is used to interpret the results as one or two level beads. | |
| LAYER | Number of layers. 
 (Integer)  | 
                            |
| REMESH | Element size for
                                remeshing. 
 (Real ≥ 0.0)  | 
                            |
| MAIN | Indicates that this design variable may be used as a main pattern for pattern repetition. | |
| COORD | Indicates information regarding the coordinate system for pattern repetition is to follow. This is required if either MAIN or SECOND flags are present. | |
| CID | Coordinate system ID for a
                                rectangular coordinate system that may be used as the pattern
                                repetition coordinate system. 6 Default = 0 (Integer ≥ 0)  | 
                            |
| CAID/XCA, YCA, ZCA | Anchor point for pattern
                                repetition coordinate system. The point may be defined by entering a
                                grid ID in the CAID field or by entering X, Y,
                                and Z coordinates in the XCA,
                                    YCA, and ZCA fields. These
                                coordinates will be in the basic coordinate system. 6 No default (Real in all three fields or Integer in the first field)  | 
                            |
| CFID/XCF, YCF, ZCF | First point for pattern
                                repetition coordinate system. The point may be defined by entering a
                                grid ID in the CFID field or by entering X, Y,
                                and Z coordinates in the XCF,
                                    YCF, and ZCF fields. These
                                coordinates will be in the basic coordinate system. 6 No default (Real in all three fields or Integer in the first field)  | 
                            |
| CSID/XCS, YCS, ZCS | Second point for pattern
                                repetition coordinate system. The point may be defined by entering a
                                grid ID in the CSID field or by entering X, Y,
                                and Z coordinates in the XCS,
                                    YCS, and ZCS fields. These
                                coordinates will be in the basic coordinate system. 6 No default (Real in all three fields or Integer in the first field)  | 
                            |
| CTID/XCT, YCT, ZCT | Third point for pattern
                                repetition coordinate system. The point may be defined by entering a
                                grid ID in the CTID field or by entering X, Y,
                                and Z coordinates in the XCT,
                                    YCT, and ZCT fields. These
                                coordinates will be in the basic coordinate system. 6 No default (Real in all three fields or Integer in the first field)  | 
                            |
| SECOND | Indicates that this design variable is secondary to the main pattern definition referenced by the following DTPG_ID entry. 6 | |
| DTPG_ID | DTPG
                                identification number for a main pattern definition. No default (Integer > 0)  | 
                            |
| SX, SY, SZ | Scale factors for pattern
                                repetition in X, Y, and Z directions, respectively. 6 Default = 1.0 (Real > 0.0)  | 
                            
Comments
- The bead minimum width and draw angles are used to
                    determine the geometry of the shape variables. Figure 1 shows a cross-section of a single shape variable
                    fully extended normal to the plane of the design elements. The top of the bead
                    is flat across the circular area with a diameter equal to the minimum bead width
                    parameter. The sides of the bead taper down at an angle equal to the draw angle
                        parameter.
Figure 1. Bead Width and Draw Angle Definitions 
 - The buffer zone is a parameter
                that controls how the interfaces between design and non-design elements are treated.
                If active, OptiStruct will place the shape variables far
                enough away from the non-design elements so that the proper bead widths and draw
                angles are maintained. If inactive, the boundary between the beads and non-design
                elements will have an abrupt transition. Any nodes that were skipped due to the
                boundary skip parameter (field 10) will also have a buffer zone created around
                    them.
Figure 2. Transitions Between Design and Non-design Elements With and Without Buffer Zone 
 - Symmetry of topography optimization can be enforced across one, two, or three planes. Defining symmetry planes for symmetric model and loading conditions is recommended because automatic variable generation may not be symmetric if it is not enforced. A symmetric mesh is not necessary, OptiStruct will create variables that are very close to identical across the plane(s) of symmetry. If the mesh is larger on one side of the plane(s) of symmetry than the other, OptiStruct will reflect variables created on the 'positive' side of the plane(s) of symmetry to the other side(s) but will not create variables on the 'negative' side(s) of the plane(s) of symmetry that do not overlap with the positive side. The positive side of the plane(s) of symmetry is the one in which the first vector, second vector, and cross product thereof are pointing toward.
 - Variable pattern grouping may be defined for
                a DTPG card. OptiStruct will generate
                shape variables based on the type of pattern selected in field 20. For variable
                grouping pattern types 1 through 14, only the first vector and anchor node need to
                be defined. For variable pattern grouping types 20 or higher, the first and second
                vectors need to be defined as well as the anchor node. If a grid is used to define
                the first vector, the normal vector will begin at the anchor point and extend
                towards the given grid (see below). Grids or xyz data may be used for either the
                first vector, second vector, or anchor point and can be a mixture, (that is the
                anchor point may be determined by a grid and the first vector determined by xyz data
                or vice-versa).One very useful feature for topography optimization in OptiStruct is the automatic generation of shape variables in simple patterns. In many cases, due to manufacturing constraints or the risk of elements being collapsed upon them during shape optimization, it is required to create shape variables in patterns that conform to the desired shape of the part. In basic topography optimization (TYP = 0), OptiStruct creates shape variables that are circular. OptiStruct contains a library of different shape variable patterns which can be accessed using the TYP parameter on the DTPG card.
Figure 3. Defining the First Vector Using a Grid Point 
The second vector is calculated by taking the grid point or vector defined in fields 22, 23, and 24 and projecting it onto plane 1. If a grid point was used to define the second vector, the second vector is a vector running from the anchor node to the projected grid point. If a vector was used to define the second vector, the base of the projected vector is placed at the anchor point.Figure 4. Second Vector is Normal to Plane 2 
Figure 5. Plane 3 is Determined to be Normal to Both Plane 1 and Plane 2 
 - For a list of patterns supported by OptiStruct, refer to Pattern Grouping Options.
 - Pattern repetition allows similar regions of
                    the design domain to be linked together so as to produce similar topographical
                    layouts. This is facilitated through the definition of "Main" and "Secondary"
                    regions. A DTPG card may only contain one
                        MAIN or SECOND flag. Bead parameters will
                    not be exported for any DTPG cards containing the
                        SECOND flag. For both "Main" and "Secondary" regions, a
                    pattern repetition coordinate system is required and is described following the
                        COORD flag. In order to facilitate reflection, the
                    coordinate system may be a left-handed or right-handed Cartesian system. The
                    coordinate system may be defined in one of two ways, listed here in order of
                    precedence: 
- Four points are defined and these are utilized as follows to define the
                            coordinate system (this is the only way to define a left-handed system): 
- A vector from the anchor point to the first point defines the x-axis.
 - The second point lies on the x-y plane, indicating the positive sense of the y-axis.
 - The third point indicates the positive sense of the z-axis.
 
 - A rectangular coordinate system and an anchor point are defined. If only an anchor point is defined, it is assumed that the basic coordinate system is to be used.
 
Multiple "Secondary" may reference the same "Main".
Scale factors may be defined for "Secondary" regions, allowing the "Main" layout to be adjusted.
For a more detailed description, refer to Pattern Repetition in the Topography Optimization Manufacturability section of the User Guide.
 - Four points are defined and these are utilized as follows to define the
                            coordinate system (this is the only way to define a left-handed system): 
 - REMESH function uses mixed type of elements, if input mesh contains any QUAD elements; otherwise, it only uses TRIA elements.
 - This card is represented as an optimization design variable in HyperMesh.