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William Hunter edited this page Jun 15, 2016 · 8 revisions

ToPy Problem Definition keywords

This page explains what each ToPy keyword stands for as used in a TDP (ToPy Problem Definition) file. You should also look at the template.tpd file (in the source), which gives more information.

General keywords

KEYWORD Description
PROB_NAME Problem name
PROB_TYPE Problem type
NUM_ELEM_X Number of elements in the X-direction
NUM_ELEM_Y Number of elements in the Y-direction
NUM_ELEM_Z Number of elements in the Z-direction
VOL_FRAC Volume fraction
FILT_RAD Filter radius
NUM_ITER Number of iterations to run
CHG_STOP Change stop value; controls the number of iterations
P_FAC Start value of penalty factor (p)
P_INCR Increment value of the penalty factor
P_CON Number of iterations to keep the penalty factor constant after each increment
P_MAX Max value that the penalty factor is allowed to reach
Q_FAC Start value of extra penalty factor (q) for grey-scale filtering (GSF)
Q_INCR Analoguous to P_INCR
Q_CON Analoguous to P_CON
Q_MAX Analoguous to P_MAX
ETA Damping factor
APPROX Type of approximation, reciprocal, exponential or diagonal quadratic
ELEM_K Type of finite element to use; really specifies the element stiffness matrix to use
FXTR_NODE_X Node number(s) at which you want to fix the translation in the X direction
FXTR_NODE_Y Node number(s) at which you want to fix the translation in the Y direction
FXTR_NODE_Z Node number(s) at which you want to fix the translation in the Y direction
LOAD_NODE_X Node number(s) at which you require load(s) in the X direction
LOAD_NODE_Y Node number(s) at which you require load(s) in the Y direction
LOAD_NODE_Z Node number(s) at which you require load(s) in the Z direction
LOAD_VALU_X Load value(s) in the X direction
LOAD_VALU_Y Load value(s) in the Y direction
LOAD_VALU_Z Load value(s) in the Z direction
PASV_ELEM Element number(s) at which you require passive (void) elements
ACTV_ELEM Element number(s) at which you require active (solid) elements

Mechanism synthesis

KEYWORD Description
LOAD_NODE_X_OUT Node number(s) at which you require the output in the X direction
LOAD_VALU_X_OUT Value of output at specified OUT node in X direction
LOAD_NODE_Y_OUT Node number(s) at which you require the output in the Y direction
LOAD_VALU_Y_OUT Value of output at specified OUT node in Y direction
LOAD_NODE_Z_OUT Node number(s) at which you require the output in the Z direction
LOAD_VALU_Z_OUT Value of output at specified OUT node in Z direction

TPD file format

The file must start with the identifier [ToPy Input File v2007] and then a blank line.

Comments may be placed after the the hash () character like these lines and in-line comments are also supported.

Order of keywords (parameters) may be random, but keywords need to be first in sequence, e.g: KEYWORD1: some value KEYWORD2: another value KEYWORD3: yet another value KEYWORD4: etc.

There is no restriction on the use of whites pace, but TABs will create problems, thus, make sure your editor replaces TABs with SPACEs (the ToPy parser will warn you if it finds TABs anyway).

Problem type

Is one of

  • 'comp' = minimum compliance problem,
  •       'heat' = heat conduction problem or
    
  •       'mech' = mechanism design (syntehesis) problem.
    

The keyword-value case doesn't matter, i.e., comp = CoMp = COMP.

PROB_TYPE: comp Solve a minimum compliance problem.

Problem name:

PROB_NAME: really_cool_problem

Output files will have this name.

Problem parameters (keywords)

VOL_FRAC: 0.5 The volume fraction to be used. FILT_RAD: 1.5 Filter radius.

Use one of the following: NUM_ITER: 100 Number of iterations to run. CHG_STOP: 0.01 Change stop value, checks the change in obj. function value.

P_FAC : 3 Start value of penalty factor (p). P_MAX : 3.5 Max value of P_FAC. P_INCR: 0.02 Increment value of P_FAC. P_CON : 25 Number of iterations to keep P_FAC constant after increment. Q_FAC : 1 Start value of extra penalty factor (q) for GSF. Q_MAX : 5 Analoguous to P_MAX. Q_INCR: 0.08 Analoguous to P_INCR. Q_CON : 20 Analoguous to P_CON.

ETA : 0.5 0.001, use 0.5 for reciprocal approximation. ETA : exp Use exponential approximation, eta is 'auto-tuned' APPROX: dquad Use diagonal quadratic approximation, ETA must be specified.

============================ === Finite Element Types ===

Nodes are numbered as follows, although this is not important to the user.

2D: Y 3D: Y | | 4-|-3 4-|-3 | +-|---X /| +-|---X 1---2 / 1/--2 8--/7 / | / |/ 5/--6 / Z

ELEM_K: Q4 Other 2D: Q5B, Q4a5B, Q4T. 3D: H8, H18B, H8T.

=========================================== === Discretisation of the design domain ===

2D: Y 3D: Y | | +---X +---X / Z

1---5---9 | 1 | 5 | 2---6---10 | 2 | 6 | 3---7---11 | 3 | 7 | 4---8---12

Numbering of nodes and elements is from top to bottom, column-wise, starting at one (1). For 3D, the X-Y plane is numbered first, then in the Z-direction. NUM_ELEM_X: 60 Number (quantity) of elements in the X-direction. NUM_ELEM_Y: 20 Number of elements in the (negative) Y-direction. Set the following keyword to 0 if not necessary for your problem, i.e., 2D: NUM_ELEM_Z: 10

================================= === Translational constraints ===

Node number(s) and/or 'start|stop|step' notation may be used for multiple nodes, ";" may be used to separate ranges. NOTE: Do not end a line with a ";" FXTR_NODE_X = FiX TRanslation of NODE in the X direction FXTR_NODE_X: 1|21 Node 1 to 21, step size 1 is implied. FXTR_NODE_Y: 1281 Lower right corner for 60x20 problem FXTR_NODE_Z: 1; 4|13|3; 18|22|2 Nodes 1, 4, 7, 10, 13, 18, 20, 22.

============= === Loads ===

Node number(s) and/or 'start|stop|step' notation may be used for multiple nodes, ";" may be used to separate ranges. NOTE: Do not end a line with a ";" A load value (VALU) must be specified for the nodes you choose. Use + or - to set the direction of the load. Set the node number(s) that's loaded, not the degrees of freedom, that's taken care of by ToPy. Assign values for the corresponding load size(s). Also note the use of the "@" below, which is rather convenient for the user. LOAD_NODE_X: 1; 4; 9 Load nodes 1, 4 and 9 in X direction. LOAD_NODE_Y: 1 Upper left corner -- node number = 1 (always), Y direction. LOAD_NODE_Z: 20|32|3 Load node 20 to 32 in steps of 3, in Z direction. LOAD_VALU_X: 0.75 Simply omit a line if not necessary for your problem. LOAD_VALU_Y: -1 Value of the load = 1, direction negative Y. LOAD_VALU_Z: 1@10 Value of the load = 1 at 10 nodes in Z direction.

================================================== === Passive (void) and active (solid) elements ===

List the element numbers you want to affect. PASV_ELEM: 10|19; 30|39; 50|59; 70|79; 90|99 No elements will appear here. ACTV_ELEM: 1|1181|20; 1181|1200 These elements won't be 'deleted'.

============================================= === Mechanism design (synthesis) specific ===

LOAD_NODE_X_OUT: 841 Node number(s) at which you require the output LOAD_VALU_X_OUT: -1 Value of output at specified OUT node.

================================ === Heat conduction specific ===

NOTE: For heat conduction problems, only use *_X keywords, i.e., no Y or Z dimensions, since heat problems are one-dimensional i.t.o. degrees of freedom (temperature is a scalar value). However, you still have to specify the following for 2D problems: NUM_ELEM_Z : 0 And don't forget this, for example: DOF_PN : 1 ELEM_K : Q4T

That's it, easy peasy :-)

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