Evolutionary stability analysis of asymmetric hawk-dove game considering the impact of common resource

Abstract The time spectral method is a very popular reduced order frequency method for analyzing unsteady flow due to its advantage of being easily extended from an existing steady flow solver. Condition number of the inverse Fourier transform matrix used in the method can affect the solution convergence and stability of the time spectral equation system. This paper aims at evaluating the effect of the condition number of the inverse Fourier transform matrix on the solution stability and convergence of the time spectral method from two aspects. The first aspect is to assess the impact of condition number using a matrix stability analysis based upon the time spectral form of the scalar advection equation. The relationship between the maximum allowable Courant number and the condition number will be derived. Different time instant groups which lead to the same condition number are also considered. Three numerical discretization schemes are provided for the stability analysis. The second aspect is to assess the impact of condition number for real life applications. Two case studies will be provided: one is a flutter case, NASA rotor 67, and the other is a blade row interaction case, NASA stage 35. A series of numerical analyses will be performed for each case using different time instant groups corresponding to different condition numbers. The conclusion drawn from the two real life case studies will corroborate the relationship derived from the matrix stability analysis.

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A numerical study into the longitudinal dynamic stability of the tailless aircraft

Aircraft Engineering and Aerospace Technology ◽

10.1108/aeat-01-2018-0032 ◽

2019 ◽

Vol 91 (3) ◽

pp. 428-436 ◽

Cited By ~ 1

Author(s):

Agnieszka Kwiek

Keyword(s):

Stability Analysis ◽

Dynamic Stability ◽

Numerical Study ◽

Aircraft Design ◽

Content Type ◽

Preliminary Stage ◽

Longitudinal Dynamic ◽

Stability Derivatives ◽

The Impact ◽

Tailless Aircraft

Purpose The purpose of this research is a study into a mathematical approach of a tailless aircraft dynamic stability analysis. This research is focused on investigation of influence of elevons (elevator) on stability derivatives and consequently on the aircraft longitudinal dynamic stability. The main research question is to determine whether this impact should be taken into account on the conceptual and preliminary stage of the analysis of the longitudinal dynamic stability. Design/methodology/approach Aerodynamic coefficients and longitudinal stability derivatives were computed by Panukl (panel methods). The analysis of the dynamic stability of the tailless aircraft was made by the Matlab code and SDSA package. Findings The main result of the research is a comparison of the dynamic stability of the tailless aircraft for different approaches, with and without the impact of elevator deflection on the trim drag and stability derivatives. Research limitations/implications This paper presents research that mostly should be considered on the preliminary stage of aircraft design and dynamic stability analysis. The impact of elevons deflection on the aircraft moment of inertia has been omitted. Practical implications The results of this research will be useful for the further design of small tailless unmanned aerial vehicles (UAVs). Originality/value This research reveals that in case of the analysis of small tailless UAVs, the impact of elevons deflection on stability derivatives is bigger than the impact of a Mach number. This impact should be taken into consideration, especially for a phugoid mode.

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Dynamic Stability and Control of a Manipulating Unmanned Aerial Vehicle

International Journal of Aerospace Engineering ◽

10.1155/2018/3481328 ◽

2018 ◽

Vol 2018 ◽

pp. 1-13 ◽

Cited By ~ 2

Author(s):

Yunping Liu ◽

Xijie Huang ◽

Yonghong Zhang ◽

Yukang Zhou

Keyword(s):

Stability Analysis ◽

Lyapunov Exponent ◽

Dynamic Stability ◽

Unmanned Aerial Vehicle ◽

Impedance Control ◽

System Stability ◽

Constructive Method ◽

Aerial Vehicle ◽

And Control ◽

The Impact

This paper focuses on the dynamic stability analysis of a manipulator mounted on a quadrotor unmanned aerial vehicle, namely, a manipulating unmanned aerial vehicle (MUAV). Manipulator movements and environments interaction will extremely affect the dynamic stability of the MUAV system. So the dynamic stability analysis of the MUAV system is of paramount importance for safety and satisfactory performance. However, the applications of Lyapunov’s stability theory to the MUAV system have been extremely limited, due to the lack of a constructive method available for deriving a Lyapunov function. Thus, Lyapunov exponent method and impedance control are introduced, and the Lyapunov exponent method can establish the quantitative relationships between the manipulator movements and the dynamics stability, while impedance control can reduce the impact of environmental interaction on system stability. Numerical simulation results have demonstrated the effectiveness of the proposed method.

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A novel lattice hydrodynamic model accounting for individual difference of honk effect for two-lane highway under V2X environment

International Journal of Modern Physics C ◽

10.1142/s0129183122500814 ◽

2022 ◽

Author(s):

Xiaoqin Li ◽

Guanghan Peng

Keyword(s):

Stability Analysis ◽

Individual Difference ◽

Early Time ◽

Mkdv Equation ◽

Traffic Modeling ◽

Lattice Hydrodynamic Model ◽

Lane Changing ◽

The Individual ◽

The Impact ◽

Honk Effect

In this work, the individual difference of the honk effect is explored on two lanes via traffic modeling of the lattice model under Vehicle to X (V2X) environment. We study the impact of individual difference corresponding to honk cases on traffic stability through linear stability analysis for a two-lane highway. Furthermore, the mKdV equation under the lane changing phenomena is conducted via nonlinear analysis. Simulation cases for the early time and longtime impact reveal that individual difference of driving characteristics has a distinct impact on two lanes under the whistling environment.

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Impedance Aggregation Method of Multiple Wind Turbines and Accuracy Analysis

Energies ◽

10.3390/en12112035 ◽

2019 ◽

Vol 12 (11) ◽

pp. 2035 ◽

Cited By ~ 2

Author(s):

Liang Chen ◽

Heng Nian ◽

Yunyang Xu

Keyword(s):

Stability Analysis ◽

Reference Frame ◽

Wind Turbines ◽

Power Distribution ◽

Wind Farm ◽

System Level ◽

Small Signal ◽

Impedance Model ◽

The Stability ◽

The Impact

The sequence domain impedance modeling of wind turbines (WTs) has been widely used in the stability analysis between WTs and weak grids with high line impedance. An aggregated impedance model of the wind farm is required in the system-level analysis. However, directly aggregating WT small-signal impedance models will lead to an inaccurate aggregated impedance model due to the mismatch of reference frame definitions among different WT subsystems, which may lead to inaccuracy in the stability analysis. In this paper, we analyze the impacts of the reference frame mismatch between a local small-signal impedance model and a global one on the accuracy of aggregated impedance and the accuracy of impedance-based stability analysis. The results revealed that the impact is related to the power distribution of the studied network. It was found that that the influence of mismatch on stability analysis became subtle when subsystems were balanced loaded. Considering that balanced loading is a common configuration of the practical application, direct impedance aggregation by local small-signal models can be applied due to its acceptable accuracy.

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Conceptual design of an aircraft for Mars mission

Aircraft Engineering and Aerospace Technology ◽

10.1108/aeat-08-2018-0231 ◽

2019 ◽

Vol 91 (6) ◽

pp. 886-892

Author(s):

Agnieszka Kwiek

Keyword(s):

Stability Analysis ◽

Dynamic Stability ◽

Conceptual Design ◽

Design Stage ◽

Content Type ◽

Mars Mission ◽

Longitudinal Dynamic ◽

Short Period ◽

The Impact ◽

Tailless Aircraft

Purpose The purpose of this paper is to present the results of a conceptual design of Martian aircraft. This study focuses on the aerodynamic and longitudinal dynamic stability analysis. The main research questions are as follows: Does a tailless aircraft configuration can be used for Martian aircraft? How to the short period characteristic can be improved by side plates modification? Design/methodology/approach Because of a conceptual design stage of this Martian aircraft, aerodynamic characterises were computed by the Panukl package by using the potential flow model. The longitudinal dynamic stability was computed by MATLAB code, and the derivatives computed by the SDSA software were used as the input data. Different aircraft configurations have been studied, including different wing’s aerofoils and configurations of the side plate. Findings This paper presents results of aerodynamic characteristics computations and longitudinal dynamic stability analysis. This paper shows that tailless aircraft configuration has potential to be used as Martian aircraft. Moreover, the study of the impact of side plates’ configurations on the longitudinal dynamic stability is presented. This investigation reveals that the most effective method to improve the short period damping ratio is to change the height of the bottom plate. Practical implications The presented result might be useful in case of further design of the aircrafts for the Mars mission and designing the aircrafts in a tailless configuration. Social implications It is considered by the human expedition that Mars is the most probable planet to explore. This paper presents the conceptual study of aircraft which can be used to take the high-resolution pictures of the surface of Mars, which can be crucial to find the right place to establish a potential Martian base. Originality/value Most of aircrafts proposed for the Mars mission are designed in a configuration with a classic tail; this paper shows a preliminary calculation of the tailless Martian aircraft. Moreover, this paper shows the results of a dynamic stability analysis, where similar papers about aircrafts for the Mars mission do not show such outcomes, especially in the case of the tailless configuration. Moreover, this paper presents the results of the dynamic stability analysis of tailless aircraft with different configurations of the side plates.

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The Impact of Immigration on a Stability Analysis of Lotka-Volterra System

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2020.06.037 ◽

2020 ◽

Vol 53 (1) ◽

pp. 214-219 ◽

Cited By ~ 1

Author(s):

R. Kaviya ◽

P. Muthukumar

Keyword(s):

Stability Analysis ◽

Volterra System ◽

The Impact

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Modelling waving crops using large-eddy simulation: comparison with experiments and a linear stability analysis

Journal of Fluid Mechanics ◽

10.1017/s0022112010000686 ◽

2010 ◽

Vol 652 ◽

pp. 5-44 ◽

Cited By ~ 54

Author(s):

S. DUPONT ◽

F. GOSSELIN ◽

C. PY ◽

E. DE LANGRE ◽

P. HEMON ◽

...

Keyword(s):

Stability Analysis ◽

Large Eddy Simulation ◽

Linear Stability ◽

Linear Stability Analysis ◽

Coupled Model ◽

Wind Flow ◽

Eddy Simulation ◽

Large Eddy ◽

Eddy Structures ◽

The Impact

In order to investigate the possibility of modelling plant motion at the landscape scale, an equation for crop plant motion, forced by an instantaneous velocity field, is introduced in a large-eddy simulation (LES) airflow model, previously validated over homogeneous and heterogeneous canopies. The canopy is simply represented as a poroelastic continuous medium, which is similar in its discrete form to an infinite row of identical oscillating stems. Only one linear mode of plant vibration is considered. Two-way coupling between plant motion and the wind flow is insured through the drag force term. The coupled model is validated on the basis of a comparison with measured movements of an alfalfa crop canopy. It is also compared with the outputs of a linear stability analysis. The model is shown to reproduce the well-known phenomenon of ‘honami’ which is typical of wave-like crop motions on windy days. The wavelength of the main coherent waving patches, extracted using a bi-orthogonal decomposition (BOD) of the crop velocity fields, is in agreement with that deduced from video recordings. The main spatial and temporal characteristics of these waving patches exhibit the same variation with mean wind velocity as that observed with the measurements. However they differ from the coherent eddy structures of the wind flow at canopy top, so that coherent waving patches cannot be seen as direct signatures of coherent eddy structures. Finally, it is shown that the impact of crop motion on the wind dynamics is negligible for current wind speed values. No lock-in mechanism of coherent eddy structures on plant motion is observed, in contradiction with the linear stability analysis. This discrepancy may be attributed to the presence of a nonlinear saturation mechanism in LES.

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Uncertainty Model of Concrete Elastic Modulus Effect to Critical Reinforced Concrete Buckling Load

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.931-932.525 ◽

2014 ◽

Vol 931-932 ◽

pp. 525-528

Author(s):

Sanguan Vongchavalitkul

Keyword(s):

Elastic Modulus ◽

Stability Analysis ◽

Statistical Data ◽

Stability Index ◽

Buckling Load ◽

Design Code ◽

Critical Buckling Load ◽

Uncertainty Model ◽

The Stability ◽

The Impact

There are differences in each countrys design code for concrete elastic modulus that cause uncertainty in stability analysis of critical buckling load column. This paper investigates the impact of uncertainty on concrete elastic modulus for designing of critical buckling load of building column. The statistical data on materials and applied load being collected in Thailand are used together with an investigation on the uncertainty of the concrete elastic modulus in the design code from 8 countries. Finally the Monte Carlo simulation is used to find out the stability index in term of reliability index. The results show that the uncertainty of the concrete elastic modulus plays an important role in stability analysis and should be considered in the design.

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