Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports

Vibration analysis of fluid-filled functionally graded material (FGM) cylindrical shells (CSs) is investigated with ring supports. The shell problem is formulated by deriving strain and kinetic energies of a vibrating cylindrical shell (CS). The method of variations of Hamiltonian principle is utili...

Full description

Autores:
Tipo de recurso:
Book
Fecha de publicación:
2018
Institución:
Universidad de Bogotá Jorge Tadeo Lozano
Repositorio:
Expeditio: repositorio UTadeo
Idioma:
eng
OAI Identifier:
oai:expeditiorepositorio.utadeo.edu.co:20.500.12010/16716
Acceso en línea:
https://www.intechopen.com/books/computational-fluid-dynamics-basic-instruments-and-applications-in-science/vibration-characteristics-of-fluid-filled-functionally-graded-cylindrical-material-with-ring-support
http://hdl.handle.net/20.500.12010/16716
Palabra clave:
Ingeniería
Material clasificado funcionalmente (FGM)
Rights
License
Abierto (Texto Completo)
id UTADEO2_11cdf5ae553009d071cad7034eba3aeb
oai_identifier_str oai:expeditiorepositorio.utadeo.edu.co:20.500.12010/16716
network_acronym_str UTADEO2
network_name_str Expeditio: repositorio UTadeo
repository_id_str
dc.title.spa.fl_str_mv Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports
title Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports
spellingShingle Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports
Ingeniería
Material clasificado funcionalmente (FGM)
title_short Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports
title_full Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports
title_fullStr Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports
title_full_unstemmed Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports
title_sort Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports
dc.subject.spa.fl_str_mv Ingeniería
topic Ingeniería
Material clasificado funcionalmente (FGM)
dc.subject.lemb.spa.fl_str_mv Material clasificado funcionalmente (FGM)
description Vibration analysis of fluid-filled functionally graded material (FGM) cylindrical shells (CSs) is investigated with ring supports. The shell problem is formulated by deriving strain and kinetic energies of a vibrating cylindrical shell (CS). The method of variations of Hamiltonian principle is utilized to change the shell integral problem into the differential equation (DE) expression. Three differential equations (DE) in three unknown for displacement functions form a system of partial differential equations (PDEs). The shells are restricted along the thickness direction by ring supports. The polynomial functions describe the influence of the ring supports and have the degree equal to the number of ring supports. Fluid loaded terms (FLT) are affixed with the shell motion equations. The acoustic wave equation states the fluid pressure designated by the Bessel functions of first kind. Axial modal deformation functions are specified by characteristic beam functions which meet end conditions imposed on two ends of the shell. The Galerkin method is employed to get the shell frequency equation. Natural frequency of FGM cylindrical shell is investigated by placing the ring support at different position with fluid for a number of physical parameters. For validity and accuracy, results are obtained and compared with the data in open literature. A good agreement is achieved between two sets of numerical results.
publishDate 2018
dc.date.created.none.fl_str_mv 2018-02-14
dc.date.accessioned.none.fl_str_mv 2021-01-18T21:06:47Z
dc.date.available.none.fl_str_mv 2021-01-18T21:06:47Z
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_2f33
format http://purl.org/coar/resource_type/c_2f33
dc.identifier.other.none.fl_str_mv https://www.intechopen.com/books/computational-fluid-dynamics-basic-instruments-and-applications-in-science/vibration-characteristics-of-fluid-filled-functionally-graded-cylindrical-material-with-ring-support
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/20.500.12010/16716
dc.identifier.doi.none.fl_str_mv 10.5772/intechopen.72172
url https://www.intechopen.com/books/computational-fluid-dynamics-basic-instruments-and-applications-in-science/vibration-characteristics-of-fluid-filled-functionally-graded-cylindrical-material-with-ring-support
http://hdl.handle.net/20.500.12010/16716
identifier_str_mv 10.5772/intechopen.72172
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.references.spa.fl_str_mv Muzamal Hussain, Aamir Shahzad, Muhammad Nawaz Naeem and Maogang He (February 14th 2018). Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports, Computational Fluid Dynamics - Basic Instruments and Applications in Science, Adela Ionescu, IntechOpen, DOI: 10.5772/intechopen.72172.
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.local.spa.fl_str_mv Abierto (Texto Completo)
dc.rights.creativecommons.none.fl_str_mv https://creativecommons.org/licenses/by-nc/4.0/legalcode
rights_invalid_str_mv Abierto (Texto Completo)
https://creativecommons.org/licenses/by-nc/4.0/legalcode
http://purl.org/coar/access_right/c_abf2
dc.format.extent.spa.fl_str_mv 258 páginas
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv IntechOpen
institution Universidad de Bogotá Jorge Tadeo Lozano
bitstream.url.fl_str_mv https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16716/1/Vibration%20Characteristics%20of%20Fluid-Filled%20Functionally_18.pdf
https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16716/2/license.txt
https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16716/3/Vibration%20Characteristics%20of%20Fluid-Filled%20Functionally_18.pdf.jpg
bitstream.checksum.fl_str_mv 1d00773ade560c80f2952c5fce0fb43c
abceeb1c943c50d3343516f9dbfc110f
f94e49470bc040d7eddeeca6b23f4786
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositorio Institucional - Universidad Jorge Tadeo Lozano
repository.mail.fl_str_mv expeditio@utadeo.edu.co
_version_ 1814213797808701440
spelling 2021-01-18T21:06:47Z2021-01-18T21:06:47Z2018-02-14https://www.intechopen.com/books/computational-fluid-dynamics-basic-instruments-and-applications-in-science/vibration-characteristics-of-fluid-filled-functionally-graded-cylindrical-material-with-ring-supporthttp://hdl.handle.net/20.500.12010/1671610.5772/intechopen.72172258 páginasapplication/pdfengIntechOpenIngenieríaMaterial clasificado funcionalmente (FGM)Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring SupportsAbierto (Texto Completo)https://creativecommons.org/licenses/by-nc/4.0/legalcodehttp://purl.org/coar/access_right/c_abf2Muzamal Hussain, Aamir Shahzad, Muhammad Nawaz Naeem and Maogang He (February 14th 2018). Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports, Computational Fluid Dynamics - Basic Instruments and Applications in Science, Adela Ionescu, IntechOpen, DOI: 10.5772/intechopen.72172.Vibration analysis of fluid-filled functionally graded material (FGM) cylindrical shells (CSs) is investigated with ring supports. The shell problem is formulated by deriving strain and kinetic energies of a vibrating cylindrical shell (CS). The method of variations of Hamiltonian principle is utilized to change the shell integral problem into the differential equation (DE) expression. Three differential equations (DE) in three unknown for displacement functions form a system of partial differential equations (PDEs). The shells are restricted along the thickness direction by ring supports. The polynomial functions describe the influence of the ring supports and have the degree equal to the number of ring supports. Fluid loaded terms (FLT) are affixed with the shell motion equations. The acoustic wave equation states the fluid pressure designated by the Bessel functions of first kind. Axial modal deformation functions are specified by characteristic beam functions which meet end conditions imposed on two ends of the shell. The Galerkin method is employed to get the shell frequency equation. Natural frequency of FGM cylindrical shell is investigated by placing the ring support at different position with fluid for a number of physical parameters. For validity and accuracy, results are obtained and compared with the data in open literature. A good agreement is achieved between two sets of numerical results.http://purl.org/coar/resource_type/c_2f33Hussain, MuzamalShahzad, AamirNawaz Naeem, MuhammadHe, MaogangORIGINALVibration Characteristics of Fluid-Filled Functionally_18.pdfVibration Characteristics of Fluid-Filled Functionally_18.pdfVer documentoapplication/pdf1006248https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16716/1/Vibration%20Characteristics%20of%20Fluid-Filled%20Functionally_18.pdf1d00773ade560c80f2952c5fce0fb43cMD51open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-82938https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16716/2/license.txtabceeb1c943c50d3343516f9dbfc110fMD52open accessTHUMBNAILVibration Characteristics of Fluid-Filled Functionally_18.pdf.jpgVibration Characteristics of Fluid-Filled Functionally_18.pdf.jpgIM Thumbnailimage/jpeg11607https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16716/3/Vibration%20Characteristics%20of%20Fluid-Filled%20Functionally_18.pdf.jpgf94e49470bc040d7eddeeca6b23f4786MD53open access20.500.12010/16716oai:expeditiorepositorio.utadeo.edu.co:20.500.12010/167162021-02-03 22:13:13.649open accessRepositorio Institucional - Universidad Jorge Tadeo Lozanoexpeditio@utadeo.edu.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