Free Vibration of a Fluid-Filled Circular Cylindrical Shell with Lumped Masses Attached, Using the Receptance Method

The receptance method is applied to the analytical study of the free vibrations of a simply supported circular cylindrical shell that is either empty or filled with an in viscid, incompressible fluid and with lumped masses attached at arbitrary positions. The receptance of the fluid-filled shell is...

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Main Author: Marco Amabili
Format: Article
Language:English
Published: Wiley 1996-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-1996-3302
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author Marco Amabili
author_facet Marco Amabili
author_sort Marco Amabili
collection DOAJ
description The receptance method is applied to the analytical study of the free vibrations of a simply supported circular cylindrical shell that is either empty or filled with an in viscid, incompressible fluid and with lumped masses attached at arbitrary positions. The receptance of the fluid-filled shell is obtained using the added virtual mass approach to model the fluid–structure interaction. The starting data for the computations is the modal properties of the cylinder that can be obtained using any theory of shells. Numerical results are obtained as roots of the frequency equation and also by considering the trivial solution. They are compared to data obtained by experimental modal analysis performed on a stainless steel tank, empty, or filled with water, with a lead mass attached.
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institution Kabale University
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1875-9203
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publishDate 1996-01-01
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series Shock and Vibration
spelling doaj-art-87810cb5b1b14a7eb40d0b98918522f92025-02-03T01:31:01ZengWileyShock and Vibration1070-96221875-92031996-01-013315916710.3233/SAV-1996-3302Free Vibration of a Fluid-Filled Circular Cylindrical Shell with Lumped Masses Attached, Using the Receptance MethodMarco Amabili0Dipartimento di Meccanica, Università di Ancona, I-60131 Ancona, ItalyThe receptance method is applied to the analytical study of the free vibrations of a simply supported circular cylindrical shell that is either empty or filled with an in viscid, incompressible fluid and with lumped masses attached at arbitrary positions. The receptance of the fluid-filled shell is obtained using the added virtual mass approach to model the fluid–structure interaction. The starting data for the computations is the modal properties of the cylinder that can be obtained using any theory of shells. Numerical results are obtained as roots of the frequency equation and also by considering the trivial solution. They are compared to data obtained by experimental modal analysis performed on a stainless steel tank, empty, or filled with water, with a lead mass attached.http://dx.doi.org/10.3233/SAV-1996-3302
spellingShingle Marco Amabili
Free Vibration of a Fluid-Filled Circular Cylindrical Shell with Lumped Masses Attached, Using the Receptance Method
Shock and Vibration
title Free Vibration of a Fluid-Filled Circular Cylindrical Shell with Lumped Masses Attached, Using the Receptance Method
title_full Free Vibration of a Fluid-Filled Circular Cylindrical Shell with Lumped Masses Attached, Using the Receptance Method
title_fullStr Free Vibration of a Fluid-Filled Circular Cylindrical Shell with Lumped Masses Attached, Using the Receptance Method
title_full_unstemmed Free Vibration of a Fluid-Filled Circular Cylindrical Shell with Lumped Masses Attached, Using the Receptance Method
title_short Free Vibration of a Fluid-Filled Circular Cylindrical Shell with Lumped Masses Attached, Using the Receptance Method
title_sort free vibration of a fluid filled circular cylindrical shell with lumped masses attached using the receptance method
url http://dx.doi.org/10.3233/SAV-1996-3302
work_keys_str_mv AT marcoamabili freevibrationofafluidfilledcircularcylindricalshellwithlumpedmassesattachedusingthereceptancemethod