Left ring parameters

Outer diameter (mm)

Inner diameter (mm)

Width (mm)

Osculation

Contact angle

Fillet radius (mm)

Reduction amount (mm)

Elasticity modulus (GPa)

Poisson's ratio

Density (Kg/m³)

Thermal dilatation coefficient (1/K)

Forces on inner ring

Force in axial X (N)

Force in radial Y (N)

Force in radial Z (N)

Torque about axial X (Nm)

Torque about radial Y (Nm)

Torque about radial Z (Nm)

Ball parameters

Number of balls

Nominal diameter of balls (mm)

Pitch circle diameter (mm)

Location of the ball plane (mm)

Oversize of radius (µm)

Maximal contact force (N)

Elasticity modulus (GPa)

Poisson's ratio

Density (Kg/m³)

Thermal dilatation coefficient (1/K)

Right ring parameters

Outer diameter (mm)

Inner diameter (mm)

Width (mm)

Osculation

Contact angle (°)

Fillet radius (mm)

Reduction amount (mm)

Elasticity modulus (GPa)

Poisson's ratio

Density (Kg/m³)

Thermal dilatation coefficient (1/K)

Thermal loads

Temperature of right ring (C)

Temperature of left ring (C)

Total number of balls

Version name Parameters configuration

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Order options

Standard simulation report based on static, nonlinear FEA (finite element analysis) (300.- EUR)

The report includes:

Total deformation
Contact forces for each ball and each contact point (up to four contact points for each ball)
Contact pressures for each ball and each contact point.
Contact angles for each ball.
Length and width of each contact ellipse for all balls and contact points.

Variation of design parameters and simulation report based on static, nonlinear FEA

Table of selected variable parameters

Please set the minimum and maximum value for the selected variables and the number of steps between them.
The total number of variants and simulation reports increases with the number of variables you select and steps you set.

Hint:

Use the checkbox to select parameters in the 'Step 1'.

Parameters (max 4)	Min Value	Given Value	Max Value	Steps
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Single simulation report based on static, nonlinear FEA (300 EUR) Parameter variation with 0 simulation reports based on static, nonlinear FEA (0 EUR) No parameter was selected for design variation.
Only one simulation report will generate.

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VATIN

Title

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Last name *

Street name *

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ZIP code *

City *

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Parameters configuration

Design variables

Designs table

I accept the Terms and Conditions

Elasticity modulus

Enter the elasticity modulus of the material

Usually, the rolling elements of bearings are made of steel and the elasticity modulus equals to 210 GPa. In special applications the rolling elements can be made of high performance ceramic materials.

(Unit: GPa)

Elasticity modulus

Enter the Elasticity modulus of the material .

Usually, the rings are made of steel and the elasticity modulus of steel equals to 210 GPa.

(Unit: GPa)

Poisson's ratio

Enter Poisson's ratio of the material

Usually, the rolling elements of bearings are made of steel and the Poisson's ratio equals to 0.3. In special applications the rolling elements can be made of high performance ceramic materials.

(Unit: )

Poisson's ratio

Enter Poisson's ratio of the material .

Usually, the rings are made of steel and the Poisson's ratio of steel equals to 0.3.

(Unit:)

Thermal expansion of the balls

Mostly the balls are made of steel and the thermal expansion is 12^-6 /C.

(Unit: 1/K)

Thermal dilatation coefficient of the material

Usually, the component is made of steel and the dilatation coefficient of steel equals to 1.20x10^-5 K^-1.
The coefficient of steel is assigned by default. A different value input by the user overwrites the default value.

(Unit: K^-1)

Density of the material

Usually, the component is made of steel and the density equals to 7850 Kg/m³.
The density of steel is assigned by default. A different value input by the user overwrites the default value.

(Unit:Kg/m³)

Density of the material

Usually, the component is made of steel and the density equals to 7850 Kg/m³.
The density of steel is assigned by default. A different value input by the user overwrites the default value.

(Unit:Kg/m³)

Osculation

Enter the osculation of the contact between the race and the balls
fr = rs/Dw
Where: fr = Osculation Dw = Nominal Diameter of the Balls (mm) rs = Radious of the Gothic Arcs of the race ()

(Unit:)

Contact angle

The contact angle is the angle build between 'the bearing axis' and 'the surface normal at the contact point'. This is the point where the rolling element and the arc of the race meet. This is also called 'the pressure angle' as the structural force propagates through these points.

(Unit: degrees)

Number of balls in the bearing

This is the total number of rolling elements in the ball bearing

(Unit: )

Force on balls

Input the expected maximum contact force on the balls.
This is a coarse estimation of the force excerting on balls. Estimated value should be high enough to bound the actual value. At the same time, the value should not be exaggerated, since exaggeration may negativelly affect the quality of the result.

(Unit: N)

Nominal diameter

Input the value of the nominal diameter of the rolling elements. A ball with the exact dimension of the nominal diameter exerts no pretension, and hence vulnerable to backlash.

(Unit: mm)

Pitch circle diameter

Enter the value OR leave blank

The value is calculated automatically from the corresponding outer and inner diameters of the rings. However, user input will overwrite the calculated value.

(Unit: mm)

Ball oversize of radius

This is the amount of pretension in the precision bearings. Pretension impedes the rolling elements from creating backlash. In the oversized ball preloading method, slightly oversized balls are used to prevent backlash. The amount of ball oversizing varies and is directly related to the stiffness.

At the same time, higher pretension leads to faster wearing of the race ways of the balls.

(Unit: µm)

Inner diameter

Enter the inner diameter of the ring.

(Unit: mm)

Outer diameter

Enter the outer diameter of the ring.

(Unit: mm)

Outer diameter

Enter the diameter of the cylindrical outer surface .

This value may influence the pitch circle diameter of the bearing if the pitch circle diameter is not explicitly assigned by user.

(Unit: mm)

Location of the plane of ball rotation

The center of the rolling elements lay on the same plane. This plane is orthogonal to the axis of bearing rotation and parallel to left and right ring. Enter the distance of this plane from the left edge of the left ring.

(Unit: mm)

Total width

This is the width / thickness of the bearing, starting from the left edge till the right edge.

(Unit: mm)

Width

Enter the distance , staring from the left-most point to the right-most point.

(Unit: mm)

Fillet radius

Enter the radius of fillet at the outer edges.

(Unit: mm)

Reduction amount

Some ball bearings can operate under both radial and axial loads. Unlike radial bearings, their ball groove does not lay on a cylindrical surface. Their orientation resembles a rather conical alignment, where the left wall of the groove is higher then the right wall, or vise versa.
Reduction amount is the difference in elevation between the two groove walls.

(Unit: mm)

Thermal load on the inner ring

The thermal load is uniformly distributed over the body. In other words, this is the ambient operating temperature.

(Unit: C)

Thermal load on the outer ring

The thermal load is uniformly distributed over the body. In other words, this is the ambient operating temperature.

(Unit: C)

Radial force in X

Force in the positive x-direction. The axis lays along the rotational axis of the bearing.

(Unit: N)

Radial force in Y

Force in the positive y-direction. The axis lays on the page surface, directing towards the vertical upward direction.

(Unit: N)

Axial force in Z

Force in the positive z-direction. The axis lays normal to the screen, and hence not shown in the diagram.

(Unit: N)

Torque about X

Torque about the positive x-axis. The axis lays along the rotational axis of the bearing.

(Unit: Nm)

Torque about Y

Torque about the positive y-axis. The axis lays on the page surface, directing towards the vertical upward direction.

(Unit: Nm)

Torque about Z

Torque about the positive z-axis. The axis lays normal to the screen, and hence not shown in the diagram.

(Unit: Nm)

Version name

This is the version name of your bearing configuration.
It should be a single word without spaces.

Parameters configuration

This is the one-row configuration of your bearing.
There are two ways from this to the final FE model and simulation results:

Order a Finite Element Analysis for this configuration.
Our team will double-check the configuration, generate the FE model with the help of the Meshparts software, perform the solution and send you the simuation report within one day.
Copy and paste this configuration into your Excel table (you receive a template along with your Meshparts license for bearing modeling) of bearing configurations.
In the Meshparts software, open the bearing assembly and write the name of your new configuration in the assembly equations.
Hit the "Solve" button.

Existing configuration of parameters

You can quickly insert a complete parameter set from one of the previously configured bearings by copying the one-row configuration from an order confirmation email into this input field. The parameter values from the one-row configuration will be inserted automatically into the corresponding input fields, and you will see the updated configuration in the canvas.

Help on the Configurator for bearing simulation

How it works

Step 1. You configure your bearing
Step 2. You order a simulation report for your bearing
Step 3. We analyse your input and generate a complete structural elastic, nonlinear finite element model of the bearing
Step 4. We send you a detailed report of the simulation of your bearing

FAQ

What is the "Configurator for bearing simulation"?

The "Configurator for bearing simulation" is an interactive web page, that helps you enter geometry, material and load parameters for a specific bearing. The current parameters configuration is shown on the canvas as an axial section view through the bearing. After you change a bearing parameter, hit the return key to see the effect on the canvas. The canvas will reflect the changes.

What can I do with the "Configurator for bearing simulation"?

You can use it as parameters source for the simulation of bearings. When you are done with the configuration of your bearing, go the Step 2 (Order simulation report). The simulation report is a HTML document containing pictures, animations and graphics of various simulation results.

How is the bearing simulated?

With the help of the Meshparts® software we generate a complete structural elastic, nonlinear bearing model based on your input configuration. The simulation is performed with the help of the finite element analysis (FEA) software Ansys®.

What results does the simulation report contain?

The report includes:

Total deformation
Contact forces for each ball and each contact point (up to four contact points for each ball)
Contact pressures for each ball and each contact point.
Contact angles for each ball.
Length and width of each contact ellipse for all balls and contact points.

How much does it costs?

Unless we have a special agreement, we price one simulation report for one bearing configuration at 300.- EUR.

General parameters

Left ring parameters

Forces on inner ring

Ball parameters

Right ring parameters

Thermal loads

Order options

Table of selected variable parameters

Total simulation reports: #0
Your price: #0 €

Too many simulation reports! Please review the number of steps.

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parent.placeholder

General parameters

Left ring parameters

Forces on inner ring

Ball parameters

Right ring parameters

Thermal loads

Order options

Table of selected variable parameters

Total simulation reports: #0 Your price: #0 €

Too many simulation reports! Please review the number of steps.

Invalid input! Please review the allowed upper/lower bound for this parameter: parent.placeholder

Total simulation reports: #0
Your price: #0 €

Invalid input!
Please review the allowed upper/lower bound for this parameter:

parent.placeholder