eigen-value calculation of continuous beams

Version 1.6 (186 KB) by E. Cheynet
Compute the eigenfrequencies and mode shapes of a continuous beam with different boundary conditions
5.0
(2)
1.6K Downloads
Updated 8 May 2020
View License on GitHub

Eigen-value calculation of continuous beams

View eigen-value calculation of continuous beams on File Exchange

Donation

Summary

The eigenfrequencies and mode shapes of a simple beam are calculated based on [1]. During the calculation procedure, It is assumed that:

  • There is no structural coupling between the different degrees of freedom of the beam
  • The beam is homogeneous
  • The beam is un-damped
  • there are free oscillations

Four boundaries conditions are included:

  • pinned-pinned
  • clamped-free
  • clamped-clamped
  • clamped-pinned

Two Geometries are available:

  • rectangular beam
  • cylinder

Content:

  • eigenModes.m: a function used to compute the eigenfrequencies and modes shapes of a continuous beam with different boundaries conditions.
  • Example.m is an application of this function.

References

[1] Engineering vibration, Daniel J. Inman (3rd edition), near page 500

Cite As

E. Cheynet (2024). eigen-value calculation of continuous beams (https://github.com/ECheynet/eigenBeam/releases/tag/v1.6), GitHub. Retrieved .

E. Cheynet. ECheynet/EigenBeam v1.6. Zenodo, 2020, doi:10.5281/ZENODO.3817909.

View more styles
MATLAB Release Compatibility
Created with R2019b
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Version Published Release Notes
1.6

See release notes for this release on GitHub: https://github.com/ECheynet/eigenBeam/releases/tag/v1.6
1.5

See release notes for this release on GitHub: https://github.com/ECheynet/eigenBeam/releases/tag/1.5
1.4

Added project website
1.3.0.0

More robust function + improved description
1.2.0.0

-Description
1.1.0.0

- HTML Example included
1.0.0.0

Add picture
-typo

To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.