FRICTION

The FRICTION statement defines parameters for frictional forces on translational, revolute, cylindrical, hooke, universal, and spherical joints.
 
Note:  
Frictional forces and torques are computed by Adams Solver (FORTRAN) using a friction model that supports dynamic friction and stiction.

Format

 
 

Arguments

 
BALL_RADIUS=Rb
Defines the radius of the ball in a spherical joint for use in friction-force and torque calculations.

Default: 1.0
Range: BALL_RADIUS > 0
BENDING_REACTION_ARM=Rb
Defines the effective moment arm use to compute the contribution of the bending moment on the net friction torque in revolute, hooke, and universal joints.

Default: 1.0
Range: BENDING_REACTION_ARM > 0
STICTION_TRANSITION_VELOCITY=r
Defines the absolute velocity threshold for the transition from dynamic friction to static friction. If the absolute relative velocity of the joint marker is below STICTION_TRANSITION_VELOCITY, then static friction or stiction acts to make the joint stick.

Default: 0.1 length units/unit time on the surface of contact in the joint.
Range: STICTION_TRANSITION_VELOCITY > 0
EFFECT={ALL[[STICTION, SLIDING]]}
Defines the frictional effects included in the friction model. Stiction is static-friction effect, while sliding is dynamic-friction effect. Excluding stiction in simulations that don’t require it can greatly improve simulation speed.

Default: All
FRICTION_FORCE_PRELOAD=r
Defines the joint’s preload frictional force, which is usually caused by mechanical interference in the assembly of the joint.

Default: 0.0
Range: FRICTION_FORCE_PRELOAD > 0
FRICTION_ARM=Rn
Defines the effective moment arm used to compute the axial component of the friction torque in revolute, hooke, and universal joints.

Default: 1.0
Range: FRICTION_ARM > 0
INACTIVE=STATIC
Specifies that frictional forces not be calculated for a static or quasi-static solution.

Default: none
Range: Static
INITIAL_OVERLAP=Xs0
Defines the initial overlap of the sliding parts in either a translational or cylindrical joint. The joint's bending moment is divided by overlap to compute the bending moment's contribution to frictional forces.

Default: 1000.0
Range: INITIAL_OVERLAP > 0
INPUTS=( {ALL, NONE [[PRELOAD: REACTION_FORCE: BENDING_MOMENT: TORSIONAL_MOMENT]]} )
Defines the input forces to the friction model. By default, all user-defined preloads and joint-reaction force and moments are included. You can customize the friction-force model by limiting the input forces you list in the statement.

Default: ALL

Joint Type: (Available inputs:)

Translational (PRELOAD, REACTION_FORCE, BENDING_MOMENT, TORSIONAL_MOMENT)

Cylindrical, Revolute, Universal, Hooke (PRELOAD, REACTION_FORCE, BENDING_MOMENT)

Spherical (PRELOAD, REACTION_FORCE)
JOINT=id
Identifies the joint to which frictional forces apply.
MAX_STICTION_DEFORMATION=r
Defines the maximum creep that can occur in a joint during the stiction regime. The creep allows Adams Solver (FORTRAN) to impose the Coulomb conditions for stiction or static friction, for example:

Friction force magnitude < µstatic * normal force

Therefore, even at zero velocity, a finite stiction force is applied if your system dynamics requires it.

Default: 0.01 length units
Range: MAX_STICTION_DEFORMATION > 0
MU_DYNAMIC=r
Defines the coefficient of dynamic friction. During the sliding regime, the magnitude of the frictional force is the product of MU_DYN and the magnitude of the normal force in the joint, for example:

Friction force magnitude, F = µN

where µ = MU_DYNAMIC and N = normal force
The dynamic frictional force acts in the opposite direction of the velocity of the joint.

Default: none
Range: MU_DYNAMIC > 0
MU_STATIC=r
Defines the coefficient of static friction in the joint. The magnitude of the frictional force is the product of a function fo MU_STAT, MU_DYNAMIC, and the creep times the magnitude of the normal force in the joint, for example:

Friction Force Magnitude, F = µN

where µ = f (MU_STATIC, MU_DYNAMIC, creep) and N = normal force
The static frictional force acts to oppose the net force or torque along the degrees of freedom of the joint.

Default: none
Range: MU_STATIC > 0
OVERLAP_DELTA={INCREASE, DECREASE, CONSTANT}
To define friction in a sliding joint (either a translational or a cylindrical joint), Adams Solver (FORTRAN) computes the overlap of the joint. As the joint slides, the overlap can increase, decrease, or remain constant. OVERLAP_DELTA is used to define any change in overlap.
INCREASE indicates that overlap increases as the
I marker translates in the positive direction along the
J marker; the slider moves to be within the joint.
DECREASE indicates that the overlap decreases with positive translation of the joint; the slider moves outside of the joint.
CONSTANT indicates that the amount of overlap does not change as the joint slides; all of the slider remains within the joint.
Default: CONSTANT
MAX_FRICTION_FORCE = r
Defines the maximum of the friction force for use in translational or cylindrical joint.

Default: 1.0E+40

Range: MAX_FRICTION_FORCE > 0
Note: When there is a preload friction force applied to the joint, the MAX_FRICTION_FORCE is set to be:
FRICTION_FORCE_PRELOAD+MAX_FRICTION_FORCE.
MAX_FRICTION_TORQUE = r
Defines the maximum of the friction torque for use in revolute, universal, hooke, spherical, or cylindrical joint.

Default: 1.0E+40

Range: MAX_FRICTION_TORQUE > 0
Note: When there is a preload friction torque applied to the joint, the MAX_FRICTION_TORQUE is set to be:
FRICTION_TORQUE_PRELOAD+MAX_FRICTION_TORQUE.
TRANSITION_VELOCITY_COEFFICIENT = r
Defines the absolute velocity threshold for the transition from static friction to dynamic friction. If the absolute relative velocity of the joint marker is at or above TRANSITION_VELOCITY_COEFFICIENT * STICTION_TRANSITION_VELOCITY, then the dynamic friction coefficient is applied. Between STICTION_TRANSITION_VELOCITY and TRANSITION_VELOCITY_COEFFICIENT * STICTION_TRANSITION_VELOCITY the coefficient of friction is transitioning from the static coefficient of friction to the dynamic coefficient of friction.

Default: 1.5
Range: TRANSITION_VELOCITY_COEFFICIENT > 1
PIN_RADIUS=Rp
Defines the radius of the pin for a revolute, cylindrical, hooke, or universal joint.

Default: 1.0
Range: PIN_RADIUS > 0
REACTION_ARM=Rn
Defines the effective moment arm of the joint-reaction torque about the translational joint’s axial axis (the z-direction of the joint’s J marker). This value is used to compute the contribution of the torsional moment to the net frictional force.

Default: 1.0
Range: REACTION_ARM > 0
FRICTION_TORQUE_PRELOAD=r
Defines the preload friction torque in the joint, which is usually caused by mechanical interference in the assembly of the joint.

Default: 0.0
Range: FRICTION_TORQUE_PRELOAD > 0
I_YOKE J_YOKE
I_YOKE and J_YOKE define the rotational constraint on which the FRICTION statement acts. I_YOKE identifies the yoke to the I marker’s rotational constraint. Likewise, J_YOKE identifies the yoke to the J marker’s rotational constraint. These keywords are used with only hooke and universal joints.

Extended Definition

Application of Friction in Joints
This section provides graphical descriptions and block diagrams of the joints and friction regimes available in the FRICTION statement.

To learn about block diagrams and friction regimes, see:
Friction Regime Determination (FRD)
To find information on a particular joint, see:
Conventions in Block Diagrams
The following tables identify conventions used in the block diagrams:
Table 1 identifies symbols in the diagrams.
Table 2 describes the relationship between the INPUTS argument in the FRICTION statement and the switches used in the block diagrams.
Table 1. Legend for Block Diagrams
 
Symbol:
Description:
_________
Scalar quantity
Vector quantity
 
 
Summing junction:
c=a+b
 
 
Multiplication junction:
c=axb
MAG
Magnitude of a vector quantity
ABS
Absolute value of a scalar quantity
FRD
Friction regime determination
Table 2. Relationship Between the INPUTS Argument and Switches Used in the Block Diagrams
 
Switch:
INPUTS=:
Symbol:
Acceptable Values:
SW1
PRELOAD
Fprfrc or Tprfc
ON/OFF
SW2
REACTION FORCE
or F
ON/OFF
SW3
BENDING MOMENT
ON/OFF
SW4
TORSIONAL MOMENT
Tn
ON/OFF
 
ALL/NONE sets all applicable switches ON/OFF, respectively
 
 
Friction Regime Determination (FRD)
Three friction regimes are permissible in Adams:
 
Dynamic friction
A joint is in dynamic friction if its joint velocity magnitude exceeds the value of the transition velocity coefficient multiplied by the friction transition velocity. The dynamic coefficient of friction (md) is used in the computation of frictional forces.
Transition between dynamic and static friction
If the joint velocity magnitude is between the value of the transition velocity coefficient multiplied by the stiction transition velocity and friction transition velocity, the joint is considered to be transitioning between static and dynamic friction. A STEP function transitions the coefficient of friction between the dynamic (md) and static (ms) coefficients of friction.
Static friction
A joint is in static friction when the joint velocity magnitude falls below the stiction transition velocity. The effective coefficient of friction is computed using the joint creep, joint velocity, and static coefficient of friction (ms).
The joint velocity determines the instantaneous friction regime for a joint. The figure below shows the block diagram of the friction regimes available in Adams Solver (FORTRAN).
 
Caution:  
FRICTION cannot be applied to joints connected to flexible bodies or point masses.

Examples

FRICTION/102, JOINT=102, I_YOKE
, MU_Static=0.03, Mu_Dynamic=0.024
, Stiction_Transition _velocity=0.1
, Max_Stiction_Deformation=0.1
, Pin_Radius=12.25
, Friction_arm=8.2
, Effect=All
, Inputs=Reaction_force
This statement creates frictional forces about the rotational degree of freedom associated with the I marker’s part of either a hooke or universal joint. The following items apply:
We assume that the joint has a 12.25 length-unit-radius pin and an effective-friction-moment arm that is at the end caps of 8.2 length units.
The friction model includes dynamic- and stiction-friction effect. The static-friction coefficient is .03 and the dynamic-friction coefficient is .024.
When computing the frictional force, Adams Solver (FORTRAN) identifies only the joint-reaction forces as force inputs.
The transition from dynamic friction to stiction occurs when the relative angular velocity in the joint falls below 0.1 rads/unit time. A maximum deflection of 0.1 length units is permitted when the joint is stiction.
See other Forces available.