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Sensitivity Analysis of Limit Cycles in an Alpha Stirling Engine : A Bifurcation-Theory Approach. / Gromov, Dmitry; Castanos, Fernando.

в: SIAM Journal on Applied Dynamical Systems, Том 19, № 3, 08.2020, стр. 1865-1883.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

Gromov, D & Castanos, F 2020, 'Sensitivity Analysis of Limit Cycles in an Alpha Stirling Engine: A Bifurcation-Theory Approach', SIAM Journal on Applied Dynamical Systems, Том. 19, № 3, стр. 1865-1883. https://doi.org/10.1137/19M1299293

APA

Vancouver

Author

Gromov, Dmitry ; Castanos, Fernando. / Sensitivity Analysis of Limit Cycles in an Alpha Stirling Engine : A Bifurcation-Theory Approach. в: SIAM Journal on Applied Dynamical Systems. 2020 ; Том 19, № 3. стр. 1865-1883.

BibTeX

@article{0dc3c973c9cb425180ee67cd89085a44,
title = "Sensitivity Analysis of Limit Cycles in an Alpha Stirling Engine: A Bifurcation-Theory Approach",
abstract = "We study a thermomechanical system comprising an alpha Stirling engine and a flywheel from the perspective of dynamical systems theory. Thermodynamics establishes a static relation between the flywheel's angle and the forces exerted by the two power pistons that constitute the engine. Mechanics, in turn, provides a dynamic relation between the forces and the angle, ultimately leading to a closed dynamical model. We are interested in the different behaviors that the engine displays as the model parameters are varied. The temperature of the hot piston and the mechanical phase between both pistons constitute our bifurcation parameters. Considering that energy conversion in the engine can only take place through cyclic motions, we are particularly interested in the appearance of limit cycles.",
keywords = "Stirling engine, modeling, bifurcation analysis, cylindrical state space, COGENERATION SYSTEMS, SIMULATION, MODEL, OSCILLATIONS, DYNAMICS, DESIGN, Bifurcation analysis, Modeling, Cylindrical state space",
author = "Dmitry Gromov and Fernando Castanos",
year = "2020",
month = aug,
doi = "10.1137/19M1299293",
language = "English",
volume = "19",
pages = "1865--1883",
journal = "SIAM Journal on Applied Dynamical Systems",
issn = "1536-0040",
publisher = "Society of Industrial and Applied Mathematics",
number = "3",

}

RIS

TY - JOUR

T1 - Sensitivity Analysis of Limit Cycles in an Alpha Stirling Engine

T2 - A Bifurcation-Theory Approach

AU - Gromov, Dmitry

AU - Castanos, Fernando

PY - 2020/8

Y1 - 2020/8

N2 - We study a thermomechanical system comprising an alpha Stirling engine and a flywheel from the perspective of dynamical systems theory. Thermodynamics establishes a static relation between the flywheel's angle and the forces exerted by the two power pistons that constitute the engine. Mechanics, in turn, provides a dynamic relation between the forces and the angle, ultimately leading to a closed dynamical model. We are interested in the different behaviors that the engine displays as the model parameters are varied. The temperature of the hot piston and the mechanical phase between both pistons constitute our bifurcation parameters. Considering that energy conversion in the engine can only take place through cyclic motions, we are particularly interested in the appearance of limit cycles.

AB - We study a thermomechanical system comprising an alpha Stirling engine and a flywheel from the perspective of dynamical systems theory. Thermodynamics establishes a static relation between the flywheel's angle and the forces exerted by the two power pistons that constitute the engine. Mechanics, in turn, provides a dynamic relation between the forces and the angle, ultimately leading to a closed dynamical model. We are interested in the different behaviors that the engine displays as the model parameters are varied. The temperature of the hot piston and the mechanical phase between both pistons constitute our bifurcation parameters. Considering that energy conversion in the engine can only take place through cyclic motions, we are particularly interested in the appearance of limit cycles.

KW - Stirling engine

KW - modeling

KW - bifurcation analysis

KW - cylindrical state space

KW - COGENERATION SYSTEMS

KW - SIMULATION

KW - MODEL

KW - OSCILLATIONS

KW - DYNAMICS

KW - DESIGN

KW - Bifurcation analysis

KW - Modeling

KW - Cylindrical state space

UR - http://www.scopus.com/inward/record.url?scp=85094875651&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/1503212c-674f-304f-8537-929a86df1939/

U2 - 10.1137/19M1299293

DO - 10.1137/19M1299293

M3 - Article

VL - 19

SP - 1865

EP - 1883

JO - SIAM Journal on Applied Dynamical Systems

JF - SIAM Journal on Applied Dynamical Systems

SN - 1536-0040

IS - 3

ER -

ID: 70287990