Understanding sinusoidal and parabolic load variations

A cylinder and the corresponding cylindrical coordinate system are depicted as follows:

where r, θ, z are the radial, tangential, and axial coordinates, respectively. The angular range over which the bearing force acts is centered about the direction of the radial force. Suppose the radial force acts in the direction of the r-axis and is distributed over 180 degrees. The intensity of the force distribution for the bearing load is given by: (In the following equations, all angles are measured in degrees.)

• f(θ) = P cos(θ) if you specify a sinusoidal variation.

• f(θ) = P [1 – (θ/90)2] if you specify a parabolic variation.

The exact form of the above equations change if an angular range other than 180 degrees is specified. For example, suppose the angular range is specified to be 90 degrees. The intensity of the force distribution is then given by:

• f(θ) = P cos(2θ) if you specify a sinusoidal variation.

• f(θ) = P [1 – (θ/45)2] if you specify a parabolic variation.

A perfectly general expression for the force distribution is given by:

• f(θ) = P cos[180 (θ/θo)] if you specify a sinusoidal variation.

• f(θ) = P [1 – 4 (θ/θo)2] if you specify a parabolic variation.

where θo is the angular range you specify.

In all cases, the software computes P so that the magnitude of the resultant of the force distribution equals the magnitude of the bearing load you specify.

How do I

Define a bearing load

Learn more

Bearing load

Quick links

Command reference

Pre/Post video examples

Bulk Entry Descriptions

Simcenter 3D tutorials

Browse Simcenter 3D help by product area

Understanding sinusoidal and parabolic load variations, Simcenter 3D 2021.1 Series

© 2020 Siemens

window.mainLanguage="en_US"

window.delivId=""

window.projectId=""

MathJax.Hub.Config({ TeX: { extensions: ["autoload-all.js"] }, tex2jax: { displayMath: [ ] }, "SVG": { scale: 125 } });