WOLFRAM SYSTEM MODELER

SupportStiffnessDamping

Support that acts as a translational two-dimensional coupled spring damper

Wolfram Language

In[1]:=
SystemModel["RotatingMachinery.Supports.SupportStiffnessDamping"]
Out[1]:=

Information

Flexible Support

This class contains equations for a translational two-dimensional coupled spring damper. It is often used as a more realistic contact to ground or a beam compared to a normal fixed contact. A  flexible support allows the connected member to move according to its structural constants such as stiffness and damping parameters.

Figure 1: Flexible support parameters tab.

Under the Options, it is recommended to set isRoot to false as long as there are any other type of support. 

Following is a graphic of an animation with a SupportStiffnessDamping component attached to a cylindrical beam at the end.

 

Figure 2: Flexible support.

References

[1]  Schmid, S. R., B. J. Hamrock and Bo. O. Jacobson. Fundamentals of Machine Elements. CRC Press, 2013.

Parameters (17)

axialFixed

Value: false

Type: Boolean

Description: =true, if NDE

cxx

Value: 0

Type: TranslationalDampingConstant (N⋅s/m)

Description: Damping constant

cxy

Value: 0

Type: TranslationalDampingConstant (N⋅s/m)

Description: Damping constant

cyx

Value: 0

Type: TranslationalDampingConstant (N⋅s/m)

Description: Damping constant

cyy

Value: 0

Type: TranslationalDampingConstant (N⋅s/m)

Description: Damping constant

kxx

Value: 0

Type: TranslationalSpringConstant (N/m)

Description: Stiffness constant

kxy

Value: 0

Type: TranslationalSpringConstant (N/m)

Description: Stiffness constant

kyx

Value: 0

Type: TranslationalSpringConstant (N/m)

Description: Stiffness constant

kyy

Value: 0

Type: TranslationalSpringConstant (N/m)

Description: Stiffness constant

s_unstretched_x

Value: 0.0

Type: Length (m)

Description: Unstretched spring length x-direction

s_unstretched_y

Value: 0.0

Type: Length (m)

Description: Unstretched spring length y-direction

unstretcheLengthOfSpring

Value: sqrt(s_unstretched_x ^ 2 + s_unstretched_y ^ 2)

Type: Length (m)

Description: Unstretched spring total length

coilWidth

Value: unstretcheLengthOfSpring / 15

Type: Distance (m)

Description: Width of spring coil

springWidth

Value: unstretcheLengthOfSpring / 5

Type: Distance (m)

Description: Width of spring

numberOfWindings

Value: 6

Type: Integer

Description: Number of spring windings

isRoot

Value: true

Type: Boolean

Description: =true, if solution will start from there

animation

Value: true

Type: Boolean

Description: = true, if animation shall be enabled

Connectors (2)

frame_b

Type: Frame_b

Description: Coordinate system fixed to the component with one cut-force and cut-torque (non-filled rectangular icon)

frame_a

Type: Frame_a

Description: Coordinate system fixed to the component with one cut-force and cut-torque (filled rectangular icon)

Components (2)

lineShape

Type: Shape

Description: Visualizing an elementary object with variable size; all data have to be set as modifiers (see info layer)

world

Type: World

Description: World coordinate system + gravity field + default animation definition

Used in Examples (10)

ShaftOnFlexibleSeatings

RotatingMachinery.Examples.BearingAnalysis

Two roller bearings on flexible supports

ForwardWhirling

RotatingMachinery.Examples.StabilityAnalysis

Finding whirling frequencies of a rotating shaft: Part I

BackwardWhirling

RotatingMachinery.Examples.StabilityAnalysis

Finding whirling frequencies of a rotating shaft: Part II

ExternalDamping

RotatingMachinery.Examples.JeffcottRotorDamping

A basic Jeffcott rotor with internal and external damping

BalancingPlanes

RotatingMachinery.Examples.RotorBalancing

An unbalanced rotor stabilized by balancing planes

RunningUpFreeRotor

RotatingMachinery.Examples.ContactAnalysis

Study of a running up clamped free rotor

NoClearance

RotatingMachinery.Examples.ContactAnalysis

Inspection of deflection of a free rotor without clearance

RunningUpRotorClearance

RotatingMachinery.Examples.ContactAnalysis

Calculation of deflection for a rotor with a surrounding and a clearance

SlowingRotorClearance

RotatingMachinery.Examples.ContactAnalysis

Application of a running down rotor deflection with a clearance

CarAxleOnTires

RotatingMachinery.Examples.Shafts

Inspection of a car axle deflection on tires