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Calculation of the modal parameters of a suspension bridge

version 3.1 (36.8 KB) by E. Cheynet
The eigen-frequencies and modes shapes of a suspension bridge are calculated on a simple way


Updated 03 Mar 2019

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The book of E.N. Strømmen "Structural Dynamics" showed an example of an analytical computation of the eigenmodes and mode-shapes of a single-span suspension bridge. This Matlab script is a transcription of this example into a simple function. It can further be applied for over type of single-span suspension bridge.
2 files are provided:
- eigenBridge is a function that computes the mode shapes and eigenfrequencies of the suspension bridge
- Example: is an application of this function (see the example)
All credits for the background theory go to [1] and [2]. Any improvements, or corrections are warmly welcomed
[1] 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)
[2] Structural Dynamics, Einar N Strømmen, Springer International Publishing, 2013. ISBN: 3319018019, 9783319018010

Cite As

E. Cheynet (2019). Calculation of the modal parameters of a suspension bridge (, MATLAB Central File Exchange. Retrieved .

Comments and Ratings (1)



Added the project website




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

-Example file provided + many simplifications

- possibility to use a different young modulus for main cables

- 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.



- typo and description

MATLAB Release Compatibility
Created with R2012b
Compatible with any release
Platform Compatibility
Windows macOS Linux