Nonlinear vibrations of plates in axial pulsating flow

E. Tubaldi, M. Amabili, F. Alijani

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A theoretical approach is presented to study nonlinear vibrations of thin infinitely long rectangular plates subjected to pulsatile axial inviscid flow. The case of plates in axial uniform flow under the action of constant transmural pressure is also addressed for different flow velocities. The equations of motion are obtained based on the von Karman nonlinear plate theory retaining in-plane inertia via Lagrangian approach. The fluid model is based on potential flow theory and the Galerkin method is applied to determine the expression of the flow perturbation potential. The effect of different system parameters such as flow velocity, pulsation amplitude, pulsation frequency, and channel pressurization on the stability of the plate and its geometrically nonlinear response to pulsating flow are fully discussed. In case of zero uniform transmural pressure numerical results show hardening type behavior for the entire flow velocity range when the pulsation frequency is spanned in the neighbourhood of the plate's fundamental frequency. Conversely, a softening type behavior is presented when a uniform transmural pressure is introduced.

Original languageEnglish (US)
Title of host publicationDynamics, Vibration, and Control
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791846476
DOIs
StatePublished - Jan 1 2014
Externally publishedYes
EventASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014 - Montreal, Canada
Duration: Nov 14 2014Nov 20 2014

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Volume4A

Other

OtherASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014
CountryCanada
CityMontreal
Period11/14/1411/20/14

Fingerprint

Axial flow
Flow velocity
Pressurization
Potential flow
Galerkin methods
Equations of motion
Hardening
Fluids

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Tubaldi, E., Amabili, M., & Alijani, F. (2014). Nonlinear vibrations of plates in axial pulsating flow. In Dynamics, Vibration, and Control (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 4A). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2014-37283

Nonlinear vibrations of plates in axial pulsating flow. / Tubaldi, E.; Amabili, M.; Alijani, F.

Dynamics, Vibration, and Control. American Society of Mechanical Engineers (ASME), 2014. (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 4A).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Tubaldi, E, Amabili, M & Alijani, F 2014, Nonlinear vibrations of plates in axial pulsating flow. in Dynamics, Vibration, and Control. ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 4A, American Society of Mechanical Engineers (ASME), ASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014, Montreal, Canada, 11/14/14. https://doi.org/10.1115/IMECE2014-37283
Tubaldi E, Amabili M, Alijani F. Nonlinear vibrations of plates in axial pulsating flow. In Dynamics, Vibration, and Control. American Society of Mechanical Engineers (ASME). 2014. (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)). https://doi.org/10.1115/IMECE2014-37283
Tubaldi, E. ; Amabili, M. ; Alijani, F. / Nonlinear vibrations of plates in axial pulsating flow. Dynamics, Vibration, and Control. American Society of Mechanical Engineers (ASME), 2014. (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)).
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