MPC184-Cylindrical

Multipoint Constraint Element: Cylindrical Joint

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## MPC184 Cylindrical Joint Element Description

The MPC184 cylindrical joint element is a two-node element that has one free relative displacement degree of freedom and one free relative rotational degree of freedom (around the cylindrical or revolute axis). All other relative degrees of freedom are fixed.

## MPC184 Cylindrical Joint Input Data

Set KEYOPT(1) = 11 to define a two-node cylindrical joint element.

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

If KEYOPT(4) = 0, then the element is an x-axis cylindrical joint element with the local e1 axis as the cylindrical or revolute axis. Translational motion along this axis is also allowed.

If KEYOPT(4) = 1, then the element is a z-axis cylindrical joint element with the local e3 axis as the cylindrical or revolute axis. Translational motion along this axis is also allowed.

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 in a cylindrical joint element with local e1 axis as the cylindrical or revolute axis are described below. Similar constraint conditions are set up when the local e3 axis is the cylindrical or revolute axis. Referring to Figure 184cyl.1: MPC184 Cylindrical Joint Geometry, with local coordinate systems specified at nodes I and J, the constraints imposed at any given time are as follows:

The change in the relative position of the nodes I and J is given by:

where:

The relative rotation between nodes I and J is given by:

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

ur = ϕ - ϕ0 + mπ

where ϕ0 is the initial angular offset between the two coordinate systems and m is an integer accounting for multiple rotations about the cylindrical axis.

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

where:

 = reference length specified on 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 Φ0 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.

### MPC184 Cylindrical Joint Input Summary

This input summary applies to the cylindrical joint element option of MPC184: KEYOPT(1) = 11.

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.)

None

Temperatures --

T(I), T(J)

Element Loads when KEYOPT(4) = 0:
Displacements/Rotations --

UX, ROTX

Velocities --

VELX, OMGX

Accelerations --

ACCX, DMGX

Force/Moments --

FX, MX

Element Loads when KEYOPT(4) = 1:
Displacements/Rotations --

UZ, ROTZ

Velocities --

VELZ, OMGZ

Accelerations --

ACCZ, DMGZ

Force/Moments --

FZ, MZ

Special Features
 Large deflection Linear perturbation
KEYOPT(1)

Element behavior:

11  --

Cylindrical joint element

KEYOPT(4)

Element configuration:

0 --

x-axis Cylindrical joint with local 1 direction as the cylindrical axis.

1  --

z-axis Cylindrical joint with local 3 direction as the cylindrical axis.

## MPC184 Cylindrical Joint Output Data

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

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 184cyl.1:  MPC184 Cylindrical Joint Element Output Definitions

NameDefinitionOR
x-axis Cylindrical Joint Element (KEYOPT(4) = 0)
ELElement Number-Y
NODESElement node numbers (I, J)-Y
FYConstraint Force in Y direction-Y
FZConstraint Force in Z direction-Y
MYConstraint Moment in Y direction-Y
MZConstraint Moment in Z direction-Y
CSTOP1Constraint force if stop is specified on DOF 1-Y
CSTOP4Constraint moment if stop is specified on DOF 4-Y
CLOCK1Constraint force if lock is specified on DOF 1-Y
CLOCK4Constraint moment if lock is specified on DOF 4-Y
CSST1Constraint stop status on DOF 1[1]-Y
CLST1Constraint lock status on DOF 1[2]-Y
CSST4Constraint stop status on DOF 4[1]-Y
CLST4Constraint lock status on DOF 4[2]-Y
JRP1Joint relative position of DOF 1-Y
JRP4Joint relative position of DOF 4-Y
JCD1Joint constitutive displacement on DOF 1-Y
JCD4Joint constitutive rotation on DOF 4-Y
JEF1Joint elastic force in direction -1-Y
JEF4Joint elastic moment in direction -4-Y
JDF1Joint damping force in direction -1-Y
JDF4Joint damping moment in direction -4-Y
JRU1Joint relative displacement of DOF 1-Y
JRU4Joint relative rotation of DOF 4-Y
JRV1Joint relative velocity of DOF 1 -Y
JRV4Joint relative rotational velocity of DOF 4-Y
JRA1Joint relative acceleration of DOF 1-Y
JRA4Joint relative rotational acceleration of DOF 4-Y
JTEMPAverage temperature in the element[3]-Y
z-axis Cylindrical Joint Element (KEYOPT(4) = 1)
ELElement Number-Y
NODESElement node numbers (I, J)-Y
FXConstraint Force in X direction-Y
FYConstraint Force in Y direction-Y
MXConstraint Moment in X direction-Y
MYConstraint Moment in Y direction-Y
CSTOP3Constraint force if stop is specified on DOF 3-Y
CSTOP6Constraint moment if stop is specified on DOF 6-Y
CLOCK3Constraint force if lock is specified on DOF 3-Y
CLOCK6Constraint moment if lock is specified on DOF 6-Y
CSST3Constraint stop status on DOF 3[1]-Y
CLST3Constraint lock status on DOF 3[2]-Y
CSST6Constraint stop status on DOF 6[1]-Y
CLST6Constraint lock status on DOF 6[2]-Y
JRP3Joint relative position of DOF 3-Y
JRP6Joint relative position of DOF 6-Y
JCD3Joint constitutive displacement on DOF 3-Y
JCD6Joint constitutive rotation on DOF 6-Y
JEF3Joint elastic force in direction -3-Y
JEF6Joint elastic moment in direction -6-Y
JDF3Joint damping force in direction -3-Y
JDF6Joint damping moment in direction -6-Y
JRU3Joint relative displacement of DOF 3-Y
JRU6Joint relative rotation of DOF 6-Y
JRV3Joint relative velocity of DOF 3 -Y
JRV6Joint relative rotational velocity of DOF 6-Y
JRA3Joint relative acceleration of DOF 3-Y
JRA6Joint relative rotational acceleration of DOF 6-Y
JTEMPAverage temperature in the element[3]-Y

1. Constraint stop status:

 0 = stop not active, or deactivated 1 = stopped at minimum value 2 = stopped at maximum value
2. Constraint lock status:

 0 = lock not active 1 = locked at minimum value 2 = locked at maximum value
3. 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 cylindrical 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 184cyl.2:  MPC184 Cylindrical Joint Element - NMISC Output

NameDefinitionOR
The following output is available for all cylindrical joint elements (KEYOPT(4) = 0 and 1)
E1X-I, E1Y-I, E1Z-IX, Y, Z components of the evolved e1 axis at node I-Y
E2X-I, E2Y-I, E2Z-IX, Y, Z components of the evolved e2 axis at node I-Y
E3X-I, E3Y-I, E3Z-IX, Y, Z components of the evolved e3 axis at node I-Y
E1X-J, E1Y-J, E1Z-JX, Y, Z components of the evolved e1 axis at node J-Y
E2X-J, E2Y-J, E2Z-JX, Y, Z components of the evolved e2 axis at node J-Y
E3X-J, E3Y-J, E3Z-JX, Y, Z components of the evolved e3 axis at node J-Y
JFX, JFY, JFZConstraint forces expressed in the evolved coordinate system specified at node I-Y
JMX, JMY, JMZConstraint moments expressed in the evolved coordinate system specified at node I-Y

Table 184cyl.3: MPC184 Cylindrical Joint Item and Sequence Numbers - SMISC Items and Table 184cyl.4: MPC184 Cylindrical 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 184cyl.3:  MPC184 Cylindrical Joint Item and Sequence Numbers - SMISC Items

Output Quantity Name ETABLE and ESOL Command Input
ItemE
x-axis Cylindrical Joint Element (KEYOPT(4) = 0)
FYSMISC2
FZSMISC3
MYSMISC5
MZSMISC6
CSTOP1SMISC7
CSTOP4SMISC10
CLOCK1SMISC13
CLOCK4SMISC16
CSST1SMISC19
CSST4SMISC22
CLST1SMISC25
CLST4SMISC28
JRP1SMISC31
JRP4SMISC34
JCD1SMISC37
JCD4SMISC40
JEF1SMISC43
JEF4SMISC46
JDF1SMISC49
JDF4SMISC52
JRU1SMISC61
JRU4SMISC64
JRV1SMISC67
JRV4SMISC70
JRA1SMISC73
JRA4SMISC76
JTEMPSMISC79
z-axis Cylindrical Joint Element (KEYOPT(4) = 1)
FXSMISC1
FYSMISC2
MXSMISC4
MYSMISC5
CSTOP3SMISC9
CSTOP6SMISC12
CLOCK3SMISC15
CLOCK6SMISC18
CSST3SMISC21
CSST6SMISC24
CLST3SMISC27
CLST6SMISC30
JRP3SMISC33
JRP6SMISC36
JCD3SMISC39
JCD6SMISC42
JEF3SMISC45
JEF6SMISC48
JDF3SMISC51
JDF6SMISC54
JRU3SMISC63
JRU6SMISC66
JRV3SMISC69
JRV6SMISC72
JRA3SMISC75
JRA6SMISC78
JTEMPSMISC79

Table 184cyl.4:  MPC184 Cylindrical Joint Item and Sequence Numbers - NMISC Items

Output Quantity Name ETABLE and ESOL Command Input
ItemE
The following output is available for all cylindrical joint elements (KEYOPT(4) = 0 and 1)
E1X-INMISC1
E1Y-INMISC2
E1Z-INMISC3
E2X-INMISC4
E2Y-INMISC5
E2Z-INMISC6
E3X-INMISC7
E3Y-INMISC8
E3Z-INMISC9
E1X-JNMISC10
E1Y-JNMISC11
E1Z-JNMISC12
E2X-JNMISC13
E2Y-JNMISC14
E2Z-JNMISC15
E3X-JNMISC16
E3Y-JNMISC17
E3Z-JNMISC18
JFXNMISC19
JFYNMISC20
JFZNMISC21
JMXNMISC22
JMYNMISC23
JMZNMISC24

## MPC184 Cylindrical Joint Assumptions and Restrictions

• Boundary conditions cannot be applied on the nodes forming the cylindrical 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 cylindrical 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.

## MPC184 Cylindrical Joint Product Restrictions

When used in the product(s) listed below, the stated product-specific restrictions apply to this element in addition to the general assumptions and restrictions given in the previous section.

ANSYS Mechanical Pro

• Linear perturbation is not available.