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Original title:
Multifold stationary solutions of an auto-parametric non-linear 2DOF system
Authors: Fischer, Cyril ; Náprstek, Jiří
Document type: Papers
Conference/Event: Engineering mechanics 2020 /26./, Brno (CZ), 20201124
Year: 2020
Language: eng
Abstract: A non-linear 2DOF model of a bridge girder with a bluff cross-section under wind loading is used to describe the heave and pitch self-excited motion. Existence conditions of stationary auto-parametric response for both the self-excited case and an assumption of a harmonic load form a non-linear algebraic system of equations. Number of distinct solutions to this algebraic system depends on the frequencies of two principal aero-elastic modes and other system parameters. Thus, the system may possess none, one, or several stationary solutions, whose stability has to be checked using the Routh-Hurwitz conditions. If all quantities entering the system are continuous functions, individual solutions may exhibit (piecewise) continuous dependence on selected system parameters. Thus, multiple identified solutions to the system for a given set of parameters may actually belong to a single solution branch and their values can be determined from the knowledge of the solution branch. Such a situation may significantly simplify assessment of stability of the particular solutions and/or provides an applicable overall description of the system response.
Keywords: aero-elastic system; algebraic system; multifold solution; stationary vibration
Project no.: GA19-21817S (CEP)
Funding provider: GA ČR
Host item entry: Engineering mechanics 2020. 26th International conference. Book of full texts, ISBN 978-80-214-5896-3, ISSN 1805-8248
Note: Související webová stránka: https://doi.org/10.21495/5896-3-130
Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0317394
Permalink: http://www.nusl.cz/ntk/nusl-432467
The record appears in these collections:
Research > Institutes ASCR > Institute of Theoretical and Applied Mechanics
Conference materials > Papers
Authors: Fischer, Cyril ; Náprstek, Jiří
Document type: Papers
Conference/Event: Engineering mechanics 2020 /26./, Brno (CZ), 20201124
Year: 2020
Language: eng
Abstract: A non-linear 2DOF model of a bridge girder with a bluff cross-section under wind loading is used to describe the heave and pitch self-excited motion. Existence conditions of stationary auto-parametric response for both the self-excited case and an assumption of a harmonic load form a non-linear algebraic system of equations. Number of distinct solutions to this algebraic system depends on the frequencies of two principal aero-elastic modes and other system parameters. Thus, the system may possess none, one, or several stationary solutions, whose stability has to be checked using the Routh-Hurwitz conditions. If all quantities entering the system are continuous functions, individual solutions may exhibit (piecewise) continuous dependence on selected system parameters. Thus, multiple identified solutions to the system for a given set of parameters may actually belong to a single solution branch and their values can be determined from the knowledge of the solution branch. Such a situation may significantly simplify assessment of stability of the particular solutions and/or provides an applicable overall description of the system response.
Keywords: aero-elastic system; algebraic system; multifold solution; stationary vibration
Project no.: GA19-21817S (CEP)
Funding provider: GA ČR
Host item entry: Engineering mechanics 2020. 26th International conference. Book of full texts, ISBN 978-80-214-5896-3, ISSN 1805-8248
Note: Související webová stránka: https://doi.org/10.21495/5896-3-130
Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0317394
Permalink: http://www.nusl.cz/ntk/nusl-432467
The record appears in these collections:
Research > Institutes ASCR > Institute of Theoretical and Applied Mechanics
Conference materials > Papers
Record created 2021-02-24, last modified 2021-11-24