Nonlinear Dynamics

, Volume 94, Issue 4, pp 2685–2696 | Cite as

Theoretical aspects of transverse galloping

  • Oriel Shoshani Email author
Original Paper


We investigate theoretical aspects of a reduced-order model for transverse galloping, which is derived directly from the full governing equations, i.e., the fluid mass and momentum balances, the fluid far-field boundary condition, the kinematic and dynamic conditions at the interface, and the bluff body equation of motion. We show that the presence of low-intensity turbulence and back-action from the slow transverse oscillations of the bluff body yield a correction to the hydrodynamic force of the quasi-steady theory in the form of additive random excitation. The reduced-order model consists of a pair of nonlinear Langevin equations for the amplitude and phase of the transverse motion of the bluff body. We show that while the phase dynamics is associated with a strongly diffusive random walk motion, the amplitude dynamics is associated with a relatively weak diffusion and can be mapped onto the motion of an overdamped particle trapped in a potential well. This mapping provides a highly useful tool for understanding both the deterministic (no random excitation) and the stochastic (weak random excitation) amplitude dynamics, and hence, for yielding theoretical insights on the overall system dynamics.


Aeroelasticity Flow-induced vibration Transverse galloping Self-sustained oscillations 


Compliance with ethical standards

Conflict of interest

The author declares that he has no conflict of interest.


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© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Mechanical EngineeringBen-Gurion University of the NegevBeer-ShevaIsrael

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