Journal ArticleDOI
Vortex-induced Vibration of Bridge Decks: Volterra Series-Based Model
Teng Wu,Ahsan Kareem +1 more
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TLDR
In this paper, a truncated Volterra series-based nonlinear oscillator is introduced to model the vortex-induced vibration (VIV) of bridge decks, highlighting special VIV features concerning bridge decks.Abstract:
A brief overview of vortex-induced vibration (VIV) of bridge decks is presented, highlighting special VIV features concerning bridge decks. A popular VIV model (Van der Pol–type model) for bridge decks is examined in detail. Alternatively, a truncated Volterra series–based nonlinear oscillator is introduced to model the VIV system. Typical features of VIV such as the limit cycle oscillation (LCO), frequency shift, hysteresis, and beat phenomenon are parsimoniously and accurately captured in the proposed nonlinear model. As a functional expansion of a nonlinear system, the Volterra series is convenient for estimating the linear and nonlinear contributions to VIV. It is demonstrated that the relative contribution of nonlinear effects in VIV is around 50% of the total response for a range of bridge cross sections. The efficacy of the Volterra series as a reduced-order model (ROM) in capturing aerodynamic nonlinearities eliminates the need for reliance on conventional phenomenological models as it pro...read more
Citations
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Journal ArticleDOI
Volterra-series-based nonlinear system modeling and its engineering applications: A state-of-the-art review
TL;DR: In this paper, the basic definition of the Volterra series is recapitulated, together with some frequency domain concepts derived from the VOLTERRA series, including the general frequency response function (GFRF), the nonlinear output frequency response functions (NOFRF) and associated frequency response (AFRF), and a detailed review is then given on the applications of Volterras in mechanical engineering, aeroelasticity problem, control engineering, electronic and electrical engineering.
Journal ArticleDOI
Optimal design of tuned mass damper inerter with a Maxwell element for mitigating the vortex-induced vibration in bridges
TL;DR: The result demonstrates that the optimally designed M-TMDI outperforms the TMD and three-element TMD in the transient amplitude mitigation, steady-state amplitude mitigation), stroke limitation, and static stretching reduction.
Journal ArticleDOI
Measurements and improved model of vortex-induced vibration for an elongated rectangular cylinder
TL;DR: In this paper, a wide wind tunnel campaign on a sectional model in smooth flow yielded the oscillation amplitudes in the lock-in range for several Scruton numbers and the dominant frequency of the velocity fluctuations in the wake of the oscillating body was measured.
Journal ArticleDOI
Dynamic modeling of vortex induced vibration wind turbines
TL;DR: In this paper, the Euler-Bernoulli beam theory and the Galerkin procedure were used to derive a nonlinear distributed-parameter model for the bladeless wind turbine under a fluctuating lift force due to periodically shedding vortices.
Journal ArticleDOI
A nonlinear analysis framework for bluff-body aerodynamics: A Volterra representation of the solution of Navier-Stokes equations
Teng Wu,Ahsan Kareem +1 more
TL;DR: In this article, a nonlinear analysis framework for bluff-body aerodynamics based on Volterra theory is introduced to capture the linear and nonlinear aerodynamic effects, and the Volterras kernels based on the impulse function concept are identified by way of the simulation of Navier-Stokes equations using computational fluid dynamics (CFD).
References
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Journal ArticleDOI
Vortex Dynamics in the Cylinder Wake
TL;DR: A review of wake vortex dynamics can be found in this article, with a focus on the three-dimensional aspects of nominally two-dimensional wake flows, as well as the discovery of several new phenomena in wakes.
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The Volterra and Wiener Theories of Nonlinear Systems
TL;DR: In this article, a complete and detailed development of the analysis, design and characterization of non-linear systems using the Volterra and Wiener theories, as well as gate functions, is presented.
Journal ArticleDOI
Vortex-induced vibrations
TL;DR: In this paper, a review summarizes fundamental results and discoveries concerning vortex-induced vibration (VIV) that have been made over the last two decades, many of which are related to the push to explore very low mass and damping, and to new computational and experimental techniques that were hitherto not available.
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Theory of sound
TL;DR: In this article, the Laplace's functions of T, F, V are simultaneously reducible to sums of squares, where T is the length of a string, F is the degree of freedom of the string, and V is the size of the chord.
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