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Dynamic stall on airfoils negatively impacts their aerodynamic performance and can lead to structural damage. Accurate prediction and modelling of the dynamic stall loads are crucial for a more robust design of wings and blades that operate…

Fluid Dynamics · Physics 2022-05-24 Fatma Ayancik , Karen Mulleners

Airfoil stall plays a central role in the design of safe and efficient lifting surfaces. We typically distinguish between static and dynamic stall based on the unsteady rate of change of an airfoil's angle of attack. Despite the somewhat…

Fluid Dynamics · Physics 2021-06-04 Sébastien Le Fouest , Julien Deparday , Karen Mulleners

Rotor blades of wind turbines in the atmospheric boundary layer regularly experience the aerodynamic phenomenon of dynamic stall consisting of a temporary overshoot of lift and detrimental fatigue loads. Particularly the formation of…

This paper focuses on the dynamical properties of delayed complex balanced systems. We first study the relationship between the stoichiometric compatibility classes of delayed and non-delayed systems. Using this relation we give another way…

Dynamical Systems · Mathematics 2024-03-14 Xiaoyu Zhang , Tian Zhang , Chuanhou Gao

This research computationally investigates the complex dynamic stall phenomena of a cross-flow turbine blade utilizing modal analysis to identify pertinent events within the cycle. The blade rotation perpendicular to the freestream…

Fluid Dynamics · Physics 2023-09-13 Mukul Dave , Jennifer A. Franck

The dynamics of the delay logistic equation with complex parameters and arbitrary complex initial conditions is investigated. The analysis of the local stability of this difference equation has been carried out. We further exhibit several…

Dynamical Systems · Mathematics 2015-07-13 S. Sarif Hassan

When interpersonal interactions between individuals are described by the (discrete or continuous) dynamical systems, the interactions are usually assumed to be instantaneous: the rates of change of the actual states of the actors at given…

Dynamical Systems · Mathematics 2012-02-17 Natalia Bielczyk , Urszula Foryś , Tadeusz Płatkowski

Stochastic contraction analysis is a recently developed tool for studying the global stability properties of nonlinear stochastic systems, based on a differential analysis of convergence in an appropriate metric. To date, stochastic…

Optimization and Control · Mathematics 2013-04-02 Quang-Cuong Pham , Jean-Jacques Slotine

Vertical-axis wind turbines are great candidates to diversify wind energy technology, but their aerodynamic complexity limits industrial deployment. To improve the efficiency and lifespan of vertical axis wind turbines, we desire…

Fluid Dynamics · Physics 2023-03-30 Sébastien Le Fouest , Daniel Fernex , Karen Mulleners

In trajectory forecasting tasks for traffic, future output trajectories can be computed by advancing the ego vehicle's state with predicted actions according to a kinematics model. By unrolling predicted trajectories via time integration…

Robotics · Computer Science 2024-09-10 Laura Zheng , Sanghyun Son , Jing Liang , Xijun Wang , Brian Clipp , Ming C. Lin

Response delay is an inherent and essential part of human actions. In the context of human balance control, the response delay is traditionally modeled using the formalism of delay-differential equations, which adopts the approximation of…

Neurons and Cognition · Quantitative Biology 2018-08-22 Takashi Suzuki , Ihor Lubashevsky , Arkady Zgonnikov

Delays and stochasticity have both served as crucially valuable ingredients in mathematical descriptions of control, physical, and biological systems. In this work, we investigate how explicitly dynamical stochasticity in delays modulates…

Molecular Networks · Quantitative Biology 2023-07-10 Bhargav R. Karamched , Christopher E. Miles

We investigate a typical aerofoil section under dynamic stall conditions, the structural model is linear and the aerodynamic loading is represented by the Leishman-Beddoes semi-empirical dynamic stall model. The loads given by this model…

Fluid Dynamics · Physics 2013-05-28 Luca Magri , Ugo Galvanetto

Dynamic stall on airfoils is an undesirable and potentially dangerous phenomenon. The motto for aerodynamic systems with unsteadily moving wings, such as helicopters or wind turbines, is that prevention beats recovery. In case prevention…

Fluid Dynamics · Physics 2026-02-25 Sahar Rezapour , Karen Mulleners

We focus on the intermittent bistable stall dynamics of an airfoil under varying angle of attack. We propose a one-dimensional Langevin equation where the stochastic forcing depends on the state of the system -- high-lift attached flow or…

Fluid Dynamics · Physics 2025-09-11 Edouard Boujo , Ivan Kharsansky Atallah , Luc R. Pastur

This article is devoted to a prediction of gait kinematics based on the Markov chains in the delay space. We use hypercubic grid in the delay space of angles in the sagittal plane in the knee and hip joints to construct Markov states. Our…

Dynamical Systems · Mathematics 2022-04-19 I. A. Meshchikhin , S. S. Minkov , A. A. Lichkunov

Human joint dynamic stiffness plays an important role in the stability of performance augmentation exoskeletons. In this paper, we consider a new frequency domain model of the human joint dynamics which features a complex value stiffness.…

Robotics · Computer Science 2020-05-04 Binghan He , Huang Huang , Gray C. Thomas , Luis Sentis

Present work deals with the dynamics of vehicles which intentionally operate in the ground proximity. The dynamics in ground effect is influenced by the vehicle orientation with respect to the ground, since the aerodynamic force and moment…

Classical Physics · Physics 2009-12-18 Nicola de Divitiis

In this paper, we study the application of switched systems stability criteria to derive delay-dependent conditions for systems affected by both a constant and a time-varying delay. The main novelty of our approach lies on the use of…

Optimization and Control · Mathematics 2022-09-13 Thiago Alves Lima , Matteo Della Rossa , Frédéric Gouaisbaut , Raphaël Jungers , Sophie Tarbouriech

Mean-field galactic dynamo theory is the leading theory to explain the prevalence of regular magnetic fields in spiral galaxies, but its systematic comparison with observations is still incomplete and fragmentary. Here we compare…

Astrophysics of Galaxies · Physics 2016-12-14 Luke Chamandy , Anvar Shukurov , A. Russ Taylor
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