elements:binds
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elements:binds [2019/03/21 15:23] chantal [ELEMENT NAME] |
elements:binds [2020/08/25 15:46] (current) |
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| ====== BINDS ====== | ====== BINDS ====== | ||
| ===== Description ===== | ===== Description ===== | ||
| - | Linear relationship between DOF of nodes\\ | + | These elements are used to impose a linear relationship between the DOF of some nodes\\ |
| - | Element number: 99\\ | + | They must refer to the material law [[laws:binds|BINDS]] (ITYPE= 30)\\ |
| - | Implemented by: Bertarini I. (1986) & revision by Pascon F. (1999) | + | Element type: 99\\ |
| + | Implemented by: Bertarini I. (1986) & revised by Pascon F. (1999)\\ | ||
| + | |||
| + | Example of relationship: | ||
| + | $\displaystyle\sum_{i=1}^{m} \alpha_i . \delta_i = \alpha_0$\\ | ||
| + | With:\\ | ||
| + | $\delta_i$: the degree of freedom (translation or rotation: 1, 2 ...)\\ | ||
| + | $\alpha_i$ and $\alpha_0$: data specified in the section "COLAW" for the material: LMATE and specified in each relation\\ | ||
| + | $m$: number of terms in the linear relationship\\ | ||
| + | |||
| + | See example below\\ | ||
| ==== Files ==== | ==== Files ==== | ||
| - | Write here the names of the main subroutines of the law (those called by loi2 for Lagamine) | + | |
| - | Prepro: XXX.F \\ | + | Prepro: BINDSA.F \\ |
| - | Lagamine: XXX.F | + | Lagamine: BINDSB.F |
| ===== Input file ===== | ===== Input file ===== | ||
| - | The following section indicates the parameters to be written in the *.lag file. The parameters should be listed in tables. For better understanding, the table should indicate the format in the headline, then the list of parameters (see example below). | + | |
| - | Sub-sections can be used to separate different categories of parameters (integer, real). | + | ^ Title (A5)^^ |
| - | ==== Parameters defining the type of constitutive law ==== | + | |TITLE |"BINDS" | |
| - | ^ TITLE (A5)^^ | + | ^Control data (I5)^^ |
| - | |TITLE|Name of the element| | + | |NELEM |number of elements | |
| + | ^ Definition of the elements (3I5/3*NNODE I5)^^ | ||
| + | |LMATE |material number (type 30) | | ||
| + | |NNODE |number of terms in the relation (max: 10) (see note 1)| | ||
| + | |INDISO |position of $\alpha_0$ in the list of the $\alpha$ coefficients of the law LMATE | | ||
| + | |NODES(I) |node number in the relation | | ||
| + | |IDOF(I) |componant of the node used in the relation (1: first DOF, 2: second DOF ...) (see note 2) | | ||
| + | |INDIS(I) |position of the $\alpha_i$ coefficient in the law LMATE | | ||
| + | | **Note:** These 3 consecutive terms are written for I=1:NNODE on the same line|| | ||
| - | ===== Results ===== | + | __**Notes**__\\ |
| + | 1: if NNODE >10, the subroutines: BINDSA and BINDSB must be adapted \\ | ||
| + | 2: Number of DOF in global axes | ||
| + | 1= displacement in X direction | ||
| + | 2= displacement in Y direction | ||
| + | 3= displacement in Z direction | ||
| + | 4= rotation around the axis X | ||
| + | 5= rotation around the axis Y | ||
| + | 6= rotation around the axis Z | ||
| + | 3: The $\alpha_0$ coefficient is multiplied by DMULT | ||
| + | ===== Example ===== | ||
| + | If you have the 2 following relations:\\ | ||
| + | $4.U_1 + 2. V_2 - U_3 = 0$ (element n° 1) \\ | ||
| + | $2.V_1 + 2. U_2 + 4.U_3 = 4$ (element n° 2)\\ | ||
| + | |||
| + | where, for example, $U_3$ is related to the first DOF (U) of the node 3\\ | ||
| + | |||
| + | You have to describe 1 law with all the $\alpha_i$ coefficients:\\ | ||
| + | $\alpha_1$= 4\\ | ||
| + | $\alpha_2$= 2\\ | ||
| + | $\alpha_3$= -1\\ | ||
| + | $\alpha_4$= 0\\ | ||
| + | |||
| + | And you have to define 1 element for each relation (here: 2 elements) \\ | ||
| + | |||
| + | After the title, you have 5 lines: \\ | ||
| + | ^ Line 1^ | ||
| + | |NELEM = 2| | ||
| + | __**First element:**__ | ||
| + | ^Line 2^^^ | ||
| + | |LMATE = law nb.|NNODE = 3 |INDISO = 4| | ||
| + | |||
| + | ^Line 3^^^^^^^^^ | ||
| + | |NODES(1) = 1 | IDOF(1) = 1 | INDIS(1) = 1 |NODES(2) = 2 |IDOF(2) = 2| INDIS(2) = 2|NODES(3) = 3 |IDOF(3) = 1 |INDIS(3) = 3 | | ||
| + | | for $4.U_1$ ||| for $2.V_2$ ||| for $-U_3$ ||| | ||
| + | __**Second element:**__ | ||
| + | ^Line 4^^^ | ||
| + | |LMATE = law nb. |NNODE = 3 |INDISO = 1 | | ||
| + | |||
| + | ^Line 5^^^^^^^^^ | ||
| + | |NODES(1) = 1 |IDOF(1) = 2 |INDIS(1) = 2 | NODES(2) = 2 |IDOF(2) = 1 |INDIS(2) = 2 | NODES(3) = 3 |IDOF(3) = 1 |INDIS(3) = 1 | | ||
| + | | for $2.V_1$ ||| for $2.U_2$ ||| for $4.U_3$ ||| | ||
| + | ===== Results ===== | ||
| + | Effort in the spring | ||
elements/binds.1553178187.txt.gz · Last modified: 2020/08/25 15:33 (external edit)
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