MPC184-Planar
## MPC184 Planar Joint Element Description

## MPC184 Planar Joint Input Data

### MPC184 Planar Joint Input Summary

## MPC184 Planar Joint Output Data

## MPC184 Planar Joint Assumptions and Restrictions

**Multipoint
Constraint Element: Planar Joint**

Compatible Products: – | Pro | Premium | Enterprise | Ent PP | Ent Solver | –

The MPC184 planar joint element is a two-node element that has two relative displacement degrees of freedom and one relative rotational degree of freedom. All other relative degrees of freedom are fixed.

Set KEYOPT(1) = 12 to define a two-node planar joint element.

Figure 184plan.1: MPC184 Planar Joint Geometry shows the geometry and node locations for this element. Two nodes (I and J) define the element.

If KEYOPT(4) = 0, the element is an x-axis planar joint element
with the local e_{1} axis as the rotation axis
and also the axis along which the distance is fixed.

If KEYOPT(4) = 1, the element is a z-axis planar joint element
with the local e_{3} axis as the rotation axis
and also the axis along which the distance is fixed.

A local Cartesian coordinate system must be specified at the
first node, I, of the element. The local coordinate system specification
at the second node is optional. The local coordinate systems specified
at node I and J evolve with the rotations at the respective nodes.
Use the **SECJOINT** command to specify the identifiers
of the local coordinate systems.

The constraints imposed on a planar joint element with local
e_{1} axis as the axis of rotation are described
below. Similar constraint conditions are set up when the local e_{3} axis is the axis of rotation. Referring to Figure 184plan.1: MPC184 Planar Joint Geometry, the constraints imposed at any given
time are as follows:

The changes in the relative position of the nodes I and J are given by:

The change in the relative angular position between the two local coordinate systems is given by:

u

_{r}= ϕ - ϕ_{0}+ mπ

The constitutive calculations use the following definition of the joint displacement:

where:

and
= reference lengths, length2 and length3,
specified on the SECDATA command. |

The constitutive calculations use the following definition of the joint rotation:

where:

= reference angle,
angle1, specified on the SECDATA command. If this
value is not specified, then ϕ_{0} is used
in place of
. |

Other input data that are common to all joint elements (material behavior, stops and limits, locks, etc.) are described in "Joint Input Data" in the MPC184 element description.

This input summary applies to the planar joint element option of MPC184: KEYOPT(1) = 12.

**Nodes**I, J

**Note:**For a grounded joint element, specify either node I or node J in the element definition and leave the other node (the grounded node) blank.**Degrees of Freedom**UX, UY, UZ, ROTX, ROTY, ROTZ

**Real Constants**None

**Material Properties**Use the JOIN label on the

**TB**command to define stiffness and damping behavior. (See MPC184 Joint in the*Material Reference*for detailed information on defining joint materials.)**Surface Loads**None

**Body Loads****Temperatures --**T(I), T(J)

**Element Loads when KEYOPT(4) = 0****Displacements/Rotations --**UY, UZ, ROTX

**Velocities --**VELY, VELZ, OMGX

**Accelerations --**ACCY, ACCZ, DMGX

**Element Loads when KEYOPT(4) = 1****Displacements/Rotations --**UX, UY, ROTZ

**Velocities --**VELX, VELY, OMGZ

**Accelerations --**ACCX, ACCY, DMGZ

**Special Features**Large deflection Linear perturbation **KEYOPT(1)**Element behavior:

**12 --**Planar joint element

**KEYOPT(4)**Element configuration:

**0 --**x-axis Planar joint with local 1 direction as the rotation axis.

**1 --**z-axis Planar joint with local 3 direction as the rotation axis.

The solution output associated with the element is in two forms:

Nodal displacements included in the overall nodal solution

Additional element output as shown in Table 184plan.1: MPC184 Planar Joint Element Output Definitions and Table 184plan.2: MPC184 Planar Joint Element - NMISC Output.

These tables use the following notation:

A colon (:) in the Name column indicates the item can be accessed
by the Component Name method [**ETABLE**, **ESOL**]. The O column indicates the availability of the
items in the file **Jobname.OUT**. The R column indicates
the availability of the items in the results file.

In either the O or R columns, Y indicates that the item is *always* available, a number refers to a table
footnote that describes when the item is *conditionally* available, and a - indicates that the item is *not* available.

**Table 184plan.1: MPC184 Planar Joint Element Output Definitions**

Name | Definition | O | R |
---|---|---|---|

x-axis Planar Joint Element (KEYOPT(4) = 0)
| |||

EL | Element number | - | Y |

NODES | Element node numbers (I, J) | - | Y |

FX | Constraint force in X direction | - | Y |

MY | Constraint moment in Y direction | - | Y |

MZ | Constraint moment in Z direction | - | Y |

CSTOP2 | Constraint force if stop is specified on DOF 2 | - | Y |

CSTOP3 | Constraint force if stop is specified on DOF 3 | - | Y |

CSTOP4 | Constraint moment if stop is specified on DOF 4 | - | Y |

CLOCK2 | Constraint force if lock is specified on DOF 2 | - | Y |

CLOCK3 | Constraint force if lock is specified on DOF 3 | - | Y |

CLOCK4 | Constraint moment if lock is specified on DOF 4 | - | Y |

CSST2 | Constraint stop status on DOF 2[1] | - | Y |

CLST2 | Constraint lock status on DOF 2[2] | - | Y |

CSST3 | Constraint stop status on DOF 3[1] | - | Y |

CLST3 | Constraint lock status on DOF 3[2] | - | Y |

CSST4 | Constraint stop status on DOF 4[1] | - | Y |

CLST4 | Constraint lock status on DOF 4[2] | - | Y |

JRP2 | Joint relative position of DOF 2 | - | Y |

JRP3 | Joint relative position of DOF 3 | - | Y |

JRP4 | Joint relative position of DOF 4 | - | Y |

JCD2 | Joint constitutive displacement on DOF 2 | - | Y |

JCD3 | Joint constitutive displacement on DOF 3 | - | Y |

JCD4 | Joint constitutive rotation on DOF 4 | - | Y |

JEF2 | Joint elastic force in direction -2 | - | Y |

JEF3 | Joint elastic force in direction -3 | - | Y |

JEF4 | Joint elastic moment in direction -4 | - | Y |

JDF2 | Joint damping force in direction -2 | - | Y |

JDF3 | Joint damping force in direction -3 | - | Y |

JDF4 | Joint damping moment in direction -4 | - | Y |

JRU2 | Joint relative displacement of DOF 2 | - | Y |

JRU3 | Joint relative displacement of DOF 3 | - | Y |

JRU4 | Joint relative rotation of DOF 4 | - | Y |

JRV2 | Joint relative velocity of DOF 2 | - | Y |

JRV3 | Joint relative velocity of DOF 3 | - | Y |

JRV4 | Joint relative rotational velocity of DOF 4 | - | Y |

JRA2 | Joint relative acceleration of DOF 2 | - | Y |

JRA3 | Joint relative acceleration of DOF 3 | - | Y |

JRA4 | Joint relative rotational acceleration of DOF 4 | - | Y |

JTEMP | Average temperature in the element[3] | - | Y |

z-axis Planar Joint Element (KEYOPT(4) = 1)
| |||

EL | Element Number | - | Y |

NODES | Element node numbers (I, J) | - | Y |

FZ | Constraint Force in Z direction | - | Y |

MX | Constraint Moment in X direction | - | Y |

MY | Constraint Moment in Y direction | - | Y |

CSTOP1 | Constraint force if stop is specified on DOF 1 | - | Y |

CSTOP2 | Constraint force if stop is specified on DOF 2 | - | Y |

CSTOP6 | Constraint moment if stop is specified on DOF 6 | - | Y |

CLOCK1 | Constraint force if lock is specified on DOF 1 | - | Y |

CLOCK2 | Constraint force if lock is specified on DOF 2 | - | Y |

CLOCK6 | Constraint moment if lock is specified on DOF 6 | - | Y |

CSST1 | Constraint stop status on DOF 1[1] | - | Y |

CLST1 | Constraint lock status on DOF 1[2] | - | Y |

CSST2 | Constraint stop status on DOF 2[1] | - | Y |

CLST2 | Constraint lock status on DOF 2[2] | - | Y |

CSST6 | Constraint stop status on DOF 6[1] | - | Y |

CLST6 | Constraint lock status on DOF 6[2] | - | Y |

JRP1 | Joint relative position of DOF 1 | - | Y |

JRP2 | Joint relative position of DOF 2 | - | Y |

JRP6 | Joint relative position of DOF 6 | - | Y |

JCD1 | Joint constitutive displacement on DOF 1 | - | Y |

JCD2 | Joint constitutive displacement on DOF 2 | - | Y |

JCD6 | Joint constitutive rotation on DOF 6 | - | Y |

JEF1 | Joint elastic force in direction -1 | - | Y |

JEF2 | Joint elastic force in direction -2 | - | Y |

JEF6 | Joint elastic moment in direction -6 | - | Y |

JDF1 | Joint damping force in direction -1 | - | Y |

JDF2 | Joint damping force in direction -2 | - | Y |

JDF6 | Joint damping moment in direction -6 | - | Y |

JRU1 | Joint relative displacement of DOF 1 | - | Y |

JRU2 | Joint relative displacement of DOF 2 | - | Y |

JRU6 | Joint relative rotation of DOF 6 | - | Y |

JRV1 | Joint relative velocity of DOF 1 | - | Y |

JRV2 | Joint relative velocity of DOF 2 | - | Y |

JRV6 | Joint relative rotational velocity of DOF 6 | - | Y |

JRA1 | Joint relative acceleration of DOF 1 | - | Y |

JRA2 | Joint relative acceleration of DOF 2 | - | Y |

JRA6 | Joint relative rotational acceleration of DOF 6 | - | Y |

JTEMP | Average temperature in the element[3] | - | Y |

0 = stop not active, or deactivated 1 = stopped at minimum value 2 = stopped at maximum value 0 = lock not active 1 = locked at minimum value 2 = locked at maximum value Average temperature in the element when temperatures are applied on the nodes of the element using the

**BF**command, or when temperature are applied on the element using the**BFE**command.

The following table shows additional non-summable miscellaneous (NMISC) output available for all forms of the planar joint element.

**Note:** This output is intended for use in the ANSYS Workbench program
to track the evolution of local coordinate systems specified at the
nodes of joint elements.

**Table 184plan.2: MPC184 Planar Joint Element - NMISC Output**

Name | Definition | O | R |
---|---|---|---|

The following output is available for all planar joint
elements (KEYOPT(4) = 0 and 1)
| |||

E1X-I, E1Y-I, E1Z-I | X, Y, Z components of the evolved
e_{1} axis at node I | - | Y |

E2X-I, E2Y-I, E2Z-I | X, Y,
Z components of the evolved e_{2} axis at node
I | - | Y |

E3X-I, E3Y-I, E3Z-I | X, Y, Z components of the evolved e_{3} axis at node I | - | Y |

E1X-J, E1Y-J, E1Z-J | X, Y, Z components
of the evolved e_{1} axis at node J | - | Y |

E2X-J, E2Y-J, E2Z-J | X, Y, Z components of the evolved e_{2} axis at node J | - | Y |

E3X-J, E3Y-J, E3Z-J | X, Y, Z components of the
evolved e_{3} axis at node J | - | Y |

JFX, JFY, JFZ | Constraint forces expressed in the evolved coordinate system specified at node I | - | Y |

JMX, JMY, JMZ | Constraint moments expressed in the evolved coordinate system specified at node I | - | Y |

Table 184plan.3: MPC184 Planar Joint Item and Sequence Numbers - SMISC Items and Table 184plan.4: MPC184 Planar Joint Item and Sequence Numbers - NMISC Items list output available via the **ETABLE** command using the Sequence Number method. See The General Postprocessor (POST1) in the *Basic Analysis Guide* and The Item and Sequence Number Table for further information.
The table uses the following notation:

**Name**output quantity as defined in the Element Output Definitions table.

**Item**predetermined Item label for

**ETABLE**command**E**sequence number for single-valued or constant element data

**Table 184plan.3: MPC184 Planar Joint Item and Sequence Numbers - SMISC Items**

Output Quantity Name |
ETABLE and ESOL Command Input | |
---|---|---|

Item | E | |

x-axis Planar Joint Element (KEYOPT(4) = 0)
| ||

FX | SMISC | 1 |

MY | SMISC | 5 |

MZ | SMISC | 6 |

CSTOP2 | SMISC | 8 |

CSTOP3 | SMISC | 9 |

CSTOP4 | SMISC | 10 |

CLOCK2 | SMISC | 14 |

CLOCK3 | SMISC | 15 |

CLOCK4 | SMISC | 16 |

CSST2 | SMISC | 20 |

CSST3 | SMISC | 21 |

CSST4 | SMISC | 22 |

CLST2 | SMISC | 26 |

CLST3 | SMISC | 27 |

CLST4 | SMISC | 28 |

JRP2 | SMISC | 32 |

JRP3 | SMISC | 33 |

JRP4 | SMISC | 34 |

JCD2 | SMISC | 38 |

JCD3 | SMISC | 39 |

JCD4 | SMISC | 40 |

JEF2 | SMISC | 44 |

JEF3 | SMISC | 45 |

JEF4 | SMISC | 46 |

JDF2 | SMISC | 50 |

JDF3 | SMISC | 51 |

JDF4 | SMISC | 52 |

JRU2 | SMISC | 62 |

JRU3 | SMISC | 63 |

JRU4 | SMISC | 64 |

JRV2 | SMISC | 68 |

JRV3 | SMISC | 69 |

JRV4 | SMISC | 70 |

JRA2 | SMISC | 74 |

JRA3 | SMISC | 75 |

JRA4 | SMISC | 76 |

JTEMP | SMISC | 79 |

z-axis Planar Joint Element (KEYOPT(4) = 1)
| ||

FZ | SMISC | 3 |

MX | SMISC | 4 |

MY | SMISC | 5 |

CSTOP1 | SMISC | 7 |

CSTOP2 | SMISC | 8 |

CSTOP6 | SMISC | 12 |

CLOCK1 | SMISC | 13 |

CLOCK2 | SMISC | 14 |

CLOCK6 | SMISC | 18 |

CSST1 | SMISC | 19 |

CSST2 | SMISC | 20 |

CSST6 | SMISC | 24 |

CLST1 | SMISC | 25 |

CLST2 | SMISC | 26 |

CLST6 | SMISC | 30 |

JRP1 | SMISC | 31 |

JRP2 | SMISC | 32 |

JRP6 | SMISC | 36 |

JCD1 | SMISC | 37 |

JCD2 | SMISC | 38 |

JCD6 | SMISC | 42 |

JEF1 | SMISC | 43 |

JEF2 | SMISC | 44 |

JEF6 | SMISC | 48 |

JDF1 | SMISC | 49 |

JDF2 | SMISC | 50 |

JDF6 | SMISC | 54 |

JRU1 | SMISC | 61 |

JRU2 | SMISC | 62 |

JRU6 | SMISC | 66 |

JRV1 | SMISC | 67 |

JRV2 | SMISC | 68 |

JRV6 | SMISC | 72 |

JRA1 | SMISC | 73 |

JRA2 | SMISC | 74 |

JRA6 | SMISC | 78 |

JTEMP | SMISC | 79 |

**Table 184plan.4: MPC184 Planar Joint Item and Sequence Numbers - NMISC Items**

Output Quantity Name |
ETABLE and ESOL Command Input | |
---|---|---|

Item | E | |

The following output is available for all planar joint
elements (KEYOPT(4) = 0 and 1)
| ||

E1X-I | NMISC | 1 |

E1Y-I | NMISC | 2 |

E1Z-I | NMISC | 3 |

E2X-I | NMISC | 4 |

E2Y-I | NMISC | 5 |

E2Z-I | NMISC | 6 |

E3X-I | NMISC | 7 |

E3Y-I | NMISC | 8 |

E3Z-I | NMISC | 9 |

E1X-J | NMISC | 10 |

E1Y-J | NMISC | 11 |

E1Z-J | NMISC | 12 |

E2X-J | NMISC | 13 |

E2Y-J | NMISC | 14 |

E2Z-J | NMISC | 15 |

E3X-J | NMISC | 16 |

E3Y-J | NMISC | 17 |

E3Z-J | NMISC | 18 |

JFX | NMISC | 19 |

JFY | NMISC | 20 |

JFZ | NMISC | 21 |

JMX | NMISC | 22 |

JMY | NMISC | 23 |

JMZ | NMISC | 24 |

Boundary conditions cannot be applied on the nodes forming the planar joint.

Rotational degrees of freedom are activated at the nodes forming the element. When these elements are used in conjunction with solid elements, the rotational degrees of freedom must be suitably constrained. Since boundary conditions cannot be applied to the nodes of the planar joint, a beam or shell element with very weak stiffness may be used with the underlying solid elements at the nodes forming the joint element to avoid any rigid body modes.

If both stops and locks are specified, then lock specification takes precedence. That is, if the degree of freedom is locked at a given value, then it will remain locked for the rest of the analysis.

In a nonlinear analysis, the components of relative motion are accumulated over all the substeps. It is essential that the substep size be restricted such that these rotations in a given substep are less than π for the values to be accumulated correctly.

The element currently does not support birth or death options.

The equation solver (

**EQSLV**) must be the sparse solver or the PCG solver. The command**PCGOPT**,,,,,,,ON is also required in order to use the PCG solver.The element coordinate system (

**/PSYMB**,ESYS) is not relevant.