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Original title:
Analytical approach of slender structure vibration due to random component of the wind velocity
Authors: Náprstek, Jiří ; Hračov, Stanislav
Document type: Papers
Conference/Event: COMPDYN 2017 /6./, Rhodes (GR), 20170615
Year: 2017
Language: eng
Abstract: Along wind random vibration of slender structures represents one of the most important aeroelastic effects resulting from wind - structure interaction. The theoretical model being based on one-dimensional elements with continuously distributed mass and stiffness has been introduced in this paper. The system has been considered to be linear self-adjoint with strongly non-proportional linear damping due to both material of the structure and presence of vibration dampers. The additive random excitation continuously distributed in time and space is Gaussian, therefore the response is Gaussian as well. Consequently, mathematical mean value and correlation function are satisfactory for the full description of the generalized solution of the respective PDE in the stochastic meaning. The general results have been obtained mostly in the form of analytical formulae for important cases of input spectral densities. A numerical example dealing with real structure is presented.
Keywords: distributed-parameter systems; non-proportional damping; random vibrations; slender structures; wind load
Project no.: GA15-01035S (CEP)
Funding provider: GA ČR
Host item entry: COMPDYN 2017. 6th International conference on computational methods in structural dynamics and earthquake engineering. Proceedings, ISBN 978-618-82844-1-8
Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: https://2017.compdyn.org/proceedings/pdf/16935.pdf
Original record: http://hdl.handle.net/11104/0276883
Permalink: http://www.nusl.cz/ntk/nusl-373435
The record appears in these collections:
Research > Institutes ASCR > Institute of Theoretical and Applied Mechanics
Conference materials > Papers
Authors: Náprstek, Jiří ; Hračov, Stanislav
Document type: Papers
Conference/Event: COMPDYN 2017 /6./, Rhodes (GR), 20170615
Year: 2017
Language: eng
Abstract: Along wind random vibration of slender structures represents one of the most important aeroelastic effects resulting from wind - structure interaction. The theoretical model being based on one-dimensional elements with continuously distributed mass and stiffness has been introduced in this paper. The system has been considered to be linear self-adjoint with strongly non-proportional linear damping due to both material of the structure and presence of vibration dampers. The additive random excitation continuously distributed in time and space is Gaussian, therefore the response is Gaussian as well. Consequently, mathematical mean value and correlation function are satisfactory for the full description of the generalized solution of the respective PDE in the stochastic meaning. The general results have been obtained mostly in the form of analytical formulae for important cases of input spectral densities. A numerical example dealing with real structure is presented.
Keywords: distributed-parameter systems; non-proportional damping; random vibrations; slender structures; wind load
Project no.: GA15-01035S (CEP)
Funding provider: GA ČR
Host item entry: COMPDYN 2017. 6th International conference on computational methods in structural dynamics and earthquake engineering. Proceedings, ISBN 978-618-82844-1-8
Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: https://2017.compdyn.org/proceedings/pdf/16935.pdf
Original record: http://hdl.handle.net/11104/0276883
Permalink: http://www.nusl.cz/ntk/nusl-373435
The record appears in these collections:
Research > Institutes ASCR > Institute of Theoretical and Applied Mechanics
Conference materials > Papers
Record created 2018-03-09, last modified 2021-11-24