Buffeting response of a suspension bridge (frequency domain)

Version 5.3.1 (776 KB) by E. Cheynet
The dynamic response of a suspension bridge to wind turbulence is computed in the frequency domain.
5.0
(3)
1.2K Downloads
Updated 20 Jan 2022
View License on GitHub

Buffeting response of a suspension bridge (frequency domain)

The dynamic response of a suspension bridge to wind turbulence is computed in the frequency domain.

View Buffeting response of a suspension bridge (frequency domain) on File Exchange Donation

The estimation of the displacement response of a large civil engineering structure to wind turbulence is based on the buffeting theory [1, 2, 5]. Ref. [5] contains the theoretical background I have used for the function dynaRespFD3. In the present script, the structure in question is a suspension bridge modelled using the theory of continuous beams [3]. The buffeting response is computed in the frequency domain using the quasi-steady theory. Modal coupling was assumed negligible, which is generally well verified for most of the wind velocities recorded in full scale [4]. The present script is a simplified version of the one used in [6].

The present script computes the lateral, vertical and torsional displacement response. A multi-modes approach is used. Some knowledge in the field of random vibration analysis and wind loading on structures are advised for proper use of this script.

The present submission contains

• dynaRespFD.m : Function that calculates the displacement response spectrum of the bridge

• A function VonKarmanSpectrum.m to generate the power spectral density of the velocity fluctuations based on von Karman model.

• Two example files Example_1.m and Example_2.m

• Two .mat files bridgeModalProperties.mat and DynamicDispl.mat that are used in the 2 examples.

Any question, comment or suggestion to improve the submission is welcomed.

References

[1] Davenport, A.G., The response of slender line-like structures to a gusty wind, Proceedings of the Institution of Civil Engineers, Vol. 23, 1962, pp. 389 – 408.

[2] Scanlan, R. H. (1978). The action of flexible bridges under wind, II: Buffeting theory. Journal of Sound and vibration, 60(2), 201-211.

[3] http://www.mathworks.com/matlabcentral/fileexchange/51815-suspension-bridge--eigen-frequency-and-mode-shapes-benchmark-solutions

[4] Thorbek, L. T., & Hansen, S. O. (1998). Coupled buffeting response of suspension bridges. Journal of Wind Engineering and Industrial Aerodynamics, 74, 839-847.

[5] Hjorth-Hansen, E. (1993). Fluctuating drag, lift and overturning moment for a line-like structure predicted (primarily) from static, mean loads. Wind Engineering, Lecture note no, 2.

[6] Cheynet, E., Jakobsen, J. B., & Snæbjörnsson, J. (2016). Buffeting response of a suspension bridge in complex terrain. Engineering Structures, 128, 474-487. http://dx.doi.org/10.1016/j.engstruct.2016.09.060

Cite As

Cheynet, E. Buffeting Response of a Suspension Bridge in the Frequency Domain. Zenodo, 2020, doi:10.5281/ZENODO.3891547.

View more styles

Cheynet, Etienne, et al. “Buffeting Response of a Suspension Bridge in Complex Terrain.” Engineering Structures, vol. 128, Elsevier BV, Dec. 2016, pp. 474–87, doi:10.1016/j.engstruct.2016.09.060.

View more styles
MATLAB Release Compatibility
Created with R2019b
Compatible with R2014b and later releases
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

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

Start Hunting!

Versions that use the GitHub default branch cannot be downloaded

Version Published Release Notes
5.3.1

See release notes for this release on GitHub: https://github.com/ECheynet/dynaRespFD/releases/tag/v5.3.1
5.3

See release notes for this release on GitHub: https://github.com/ECheynet/dynaRespFD/releases/tag/v5.3
5.2

See release notes for this release on GitHub: https://github.com/ECheynet/dynaRespFD/releases/tag/v5.2
5.1

See release notes for this release on GitHub: https://github.com/ECheynet/dynaRespFD/releases/tag/v5.1
5.0

Added Github repository
4.21

Correction of a typo in the expression of Liepmann's approximation to Sears' function

4.20

Code recomputed with R2019b
4.2

Examples have been updated for the sake of clarity
4.1

Added the project website
4.0.0.0

Largest update since the first submission of this script. The function dynaResp is renamed dynaResp3 and is considerably simplified (see Example 1)
Description updated
-Description updated
-File uploaded properly
3.3.0.0

Description updated and simplified code
3.2.0.0

Correction of a bug in the torsional response
3.1.0.0

- summary updated
3.0.0.0

Description, new examples
2.1.0.0

- typo
-
2.0.0.0

-
- IMPORTANT update: computing error have been corrected
- Reduction of the number of files recorded to carry out the simulation (nested functions are used instead)
- 2 examples files are included
1.0.0.0

- typo
- description

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.