# Calculation of the modal parameters of a suspension bridge

Version 3.3 (161 KB) von
The eigenfrequencies and modes shapes of a suspension bridge are calculated using a continuum model
Aktualisiert 8. Mai 2020

# eigenBridge

## Summary

The calculation of the eigenfrequencies and mode shapes of a suspension bridge using the present Matlab code is based on the theory of continuous beam and the theory of shallow cables. The mode shapes are obtained using Galerkin's method where a series expansion is used. The method was first applied by Sigbjörnsson & Hjorth-Hansen [1]. E. Strømmen [2] expanded their works to the vertical and torsional motion.

The bridge is represented as a horizontal streamlined beam, where the z-axis is the vertical axis, the y-axis is the along-beam axis and the x-axis is the cross-beam axis. The three motions of interests (lateral, vertical, and torsional) and both symmetric and asymmetric modes are computed.

## Content:

• eigenBridge is a function that computes the mode shapes and eigenfrequencies of the suspension bridge
• Documentation.mlx: is an example of the application of this function

## References:

[1] Sigbjönsson, R., Hjorth-Hansen, E.: Along wind response of suspension bridges with special reference to stiffening by horizontal cables. Engineering Structures 3, 27-37 (1981) [2] Structural Dynamics, Einar N Strømmen, Springer International Publishing, 2013. ISBN: 3319018019, 9783319018010 Characteristics of the single-span suspension bridge

### Zitieren als

Cheynet, E. Calculation of the Modal Parameters of a Suspension Bridge. Zenodo, 2020, doi:10.5281/ZENODO.3817982.

Mehrere Stile anzeigen
##### Kompatibilität der MATLAB-Version
Erstellt mit R2019b
Kompatibel mit allen Versionen
##### Plattform-Kompatibilität
Windows macOS Linux
##### Kategorien
Mehr zu Numerical Integration and Differential Equations finden Sie in Help Center und MATLAB Answers

### Community Treasure Hunt

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

Start Hunting!
Version Veröffentlicht Versionshinweise
3.3

See release notes for this release on GitHub: https://github.com/ECheynet/eigenBridge/releases/tag/v3.3

3.2.0.0

See release notes for this release on GitHub: https://github.com/ECheynet/eigenBridge/releases/tag/v3.2

3.1

3.0.0.0

Title
The lateral mode shapes of the deck include now properly the influence of the cable motion
Title
typo

2.0.0.0

-Example file provided + many simplifications

1.2.0.0

- possibility to use a different young modulus for main cables

1.1.0.0

- separation into more modules for sake of clarity (new matlab file "ExampleBridge.m" included)
- For those interested only in one degree of freedom, the inputs have been sorted on a more visible way.

1.0.0.0

--
- typo and description
--

Um Probleme in diesem GitHub Add-On anzuzeigen oder zu melden, besuchen Sie das GitHub Repository.
Um Probleme in diesem GitHub Add-On anzuzeigen oder zu melden, besuchen Sie das GitHub Repository.