Linear vertical vibrations of suspension bridges

The eigen-frequencies and mode-shapes for the vertical DOF of a suspension bridge are computed


Updated Thu, 14 May 2020 13:17:02 +0000

From GitHub

View License on GitHub

Linear vertical vibrations of a suspension bridge

View Linear vertical vibrations of suspension bridges on File Exchange



The vertical eigenfrequencies and mode shapes of a single-span suspension bridge are computed using the method by Luco et Turmo [1]. For the sake of completeness, the computed modal parameters are compared with those obtained using the method by Sigbjørnsson & Hjorth-Hansen [2] and Strømmen [3].


The submission contains:

  • eigenBridge.m (it is identical to File ID: #51815) and is inspired from [5,6]
  • eigenridge2.m based on works of [4]. I am simply writing the equations and their solutions in a numerical way.
  • eigBridge_Verification.m: its only purpose is to verify the numerical implementation of eigenBridge2.m
  • Verifications.mlx : It is a verification of the works of [4], where I try to obtain exactly what [4] show in their paper.
  • Application.mlx: I compare eigenBridge.m with eigenBridge2.m

Any comment or idea of improvement is warmly welcome.


[1] Luco, J. E., & Turmo, J. (2010). Linear vertical vibrations of suspension bridges: A review of continuum models and some new results. Soil Dynamics and Earthquake Engineering, 30(9), 769-781.

[5] Sigbjørnsson, R., Hjorth-Hansen, E.: Along wind response of suspension bridges with special reference to stiffening by horizontal cables. Engineering Structures 3, 27–37 (1981)

[6] Structural Dynamics, Einar N Strømmen, Springer International Publishing, 2013. ISBN: 3319018019, 783319018010

Cite As

E. Cheynet (2023). Linear vertical vibrations of suspension bridges (, GitHub. Retrieved .

MATLAB Release Compatibility
Created with R2018b
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

See release notes for this release on GitHub:


Examples have been updated


Fixed some typos


Added the project website

title updated
The html examples are now included

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.