Linear vertical vibrations of a suspension bridge

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