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Linear vertical vibrations of a suspension bridge

E. Cheynet

Summary

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].

Content

The submission contains:

  • eigenBridge.m: It computes the modal parameters of a suspension bridge [2,3].
  • eigenridge2.m: It computes the vertical modal parameters of a suspension bridge, following Luco & Turmo [1].
  • eigBridge_Verification.m: Function used for the verification procedure.
  • Verifications.mlx : reproduction of some of the results by Luco & Turmo [1].
  • Application.mlx: Compare the numerical implementation of eigenBridge2.m against eigenBridge.m

References

[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

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