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)

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

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

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