Time-domain Buffeting response of a suspension bridge

The coupled dynamic response of a suspension bridge to wind turbulence is computed in the time domain

Summary

The lateral, vertical and torsional response of a suspension is computed in the time domain using computed turbulent velocity time histories. The simplified Bridge model of the Lysefjord Bridge [1] is considered for the modelling of the structure. Turbulence is modelled using the Kaimal model [2]. The quasi-steady theory, as well as the strip assumption, are used. Modal coupling between the lateral, vertical and torsional motions are accounted for in the time-domain model.

Content

The present submission contains:

• The function dynaRespTD.m that computes the bridge response in the time domain (Non-linear load + modal coupling)
• The function dynaResp_noCouplingTD.m that computes the bridge response in the time domain (linearised load + no modal coupling)
• An example file that compares the time-domain approach with the frequency domain approach
• Various functions used for the example file, including simulation of correlated wind histories [3], computation of the bridge modal parameters [4], computation of the bridge response in the frequency domain [5].

Any suggestion, comment or question is welcomed.

References

[1] Cheynet, E., Jakobsen, J. B., & Snæbjörnsson, J. (2016). Buffeting response of a suspension bridge in complex terrain. Engineering Structures, 128, 474-487.

[2] Kaimal, J. C., Wyngaard, J. C. J., Izumi, Y., & Coté, O. R. (1972). Spectral characteristics of surface‐layer turbulence. Quarterly Journal of the Royal Meteorological Society, 98(417), 563-589.

[3]https://se.mathworks.com/matlabcentral/fileexchange/68632-wind-field-simulation-the-fast-version

[4] https://se.mathworks.com/matlabcentral/fileexchange/51815-calculation-of-the-modal-parameters-of-a-suspension-bridge

[5] https://se.mathworks.com/matlabcentral/fileexchange/51970-buffeting-response-of-a-suspension-bridge-frequency-domain