Self-propulsion of a free hydrofoil with localized discrete vortex shedding: analytical modeling and simulation

Kelly, Scott David; Xiong, Hailong

doi:10.1007/978-90-481-8584-9_7

Cited by 3 publications

(2 citation statements)

References 11 publications

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“…So, they only accounted for added-mass forces and ignored lift-like forces -the main concern of Kelly & Hukkeri (2006). On the other hand, while Kelly's efforts (Kelly & Xiong 2010;Kelly, Pujari & Xiong 2012;Tallapragada & Kelly 2013 explicitly accounted for vortex shedding from the sharp trailing edge, his neat formulation treats the coupled vortex-body dynamics simultaneously; there is no means (no need) in his formulation to calculate hydrodynamic loads and their build up dynamics. Also, in the recent effort of Tallapragada & Kelly (2017), the authors showed that the Kutta condition is a non-holonomic constraint.…”

Section: Differential-geometric Mechanics and Control And Its Application To Fluid Problemsmentioning

confidence: 99%

Geometric-control formulation and averaging analysis of the unsteady aerodynamics of a wing with oscillatory controls

et al. 2021

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Differential-geometric-control theory represents a mathematically elegant combination of differential geometry and control theory. Practically, it allows exploitation of nonlinear interactions between various inputs for the generation of forces in non-intuitive directions. Since its early developments in the 1970s, the geometric-control theory has not been duly exploited in the area of fluid mechanics. In this paper, we show the potential of geometric-control theory in the analysis of fluid flows, exemplifying it as a heuristic analysis tool for discovery of symmetry-breaking and unconventional force-generation mechanisms. In particular, we formulate the wing unsteady aerodynamics problem in a geometric-control framework. To achieve this goal, we develop a reduced-order model for the unsteady flow over a pitching–plunging wing that is (i) rich enough to capture the main physical aspects (e.g. nonlinearity of the flow dynamics at large angles of attack and high frequencies) and (ii) efficient and compact enough to be amenable to the analytic tools of geometric nonlinear control theory. We then combine tools from geometric-control theory and averaging to analyse the developed reduced-order dynamical model, which reveals regimes for lift and thrust enhancement mechanisms. The unsteady Reynolds-averaged Navier–Stokes equations are simulated to validate the theoretical findings and scrutinize the underlying physics behind these enhancement mechanisms.

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Section: Differential-geometric Mechanics and Control And Its Application To Fluid Problemsmentioning

confidence: 99%

Geometric-control formulation and averaging analysis of the unsteady aerodynamics of a wing with oscillatory controls

et al. 2021

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“…In addition to introducing new complexity to these previously studied systems, this paper clarifies the link between terrestrial locomotion exploiting a rolling constraint and the model for fishlike swimming introduced by Kelly and Xiong [5]. In each case, a body with a single internal degree of freedom associated with lateral flexing is able to propel itself because a velocity constraint-in the case of the swimming hydrofoil, a Kutta condition-is enforced at one end of the body but not at the other.…”

Section: Introductionmentioning

confidence: 99%

Mechanics and Control of a Terrestrial Vehicle Exploiting a Nonholonomic Constraint for Fishlike Locomotion

Dear

Kelly

Travers

et al. 2013

Volume 2: Control, Monitoring, and Energy Harvesting of Vibratory Systems; Cooperative and Networked Control; Delay Systems; Dy

Self Cite

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We present a novel mechanical system, the "landfish," which takes advantage of a combination of articulation and a nonholonomic constraint to exhibit fishlike locomotion. We apply geometric mechanics techniques to establish the equations of motion in terms of the system's nonholonomic momentum and analyze the system's equilibrium properties. Finally, we demonstrate its locomotion capabilities under several controllers, including heading and joint velocity control.

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A fish-like locomotion model in an ideal fluid with lateral-line-inspired background flow estimation

Mohseni

2014

2014 IEEE/RSJ International Conference on Intelligent Robots and Systems

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Self-propulsion of a free hydrofoil with localized discrete vortex shedding: analytical modeling and simulation

Cited by 3 publications

References 11 publications

Geometric-control formulation and averaging analysis of the unsteady aerodynamics of a wing with oscillatory controls

Geometric-control formulation and averaging analysis of the unsteady aerodynamics of a wing with oscillatory controls

Mechanics and Control of a Terrestrial Vehicle Exploiting a Nonholonomic Constraint for Fishlike Locomotion

A fish-like locomotion model in an ideal fluid with lateral-line-inspired background flow estimation

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