Analytical solution for free vibration of stiffened functionally graded cylindrical shell structure resting on elastic foundation
In this work, the analytical solution for free vibration of functionally graded cylindrical shell with stiffeners resting on Winkler–Pasternak foundation with several boundary conditions is reported. Material properties of the cylindrical shell are assumed to be varying smoothly and continuously acr...
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| Veröffentlicht in: | SN applied sciences 2019-10, Vol.1 (10), p.1150, Article 1150 |
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| creator | Nguyen, Van-Loi Hoang, Thu-Phuong |
| description | In this work, the analytical solution for free vibration of functionally graded cylindrical shell with stiffeners resting on Winkler–Pasternak foundation with several boundary conditions is reported. Material properties of the cylindrical shell are assumed to be varying smoothly and continuously across the thickness according to the power law distribution of the volume fraction of constituents. The governing equations of the stiffened functionally graded cylindrical shell resting on elastic foundation are obtained by using Hamilton’s principle, the first-order shear deformation theory and the Lekhnitsky smeared stiffeners technique. The purpose of the present study is to illustrate a simple approach to get the natural frequency of the stiffened functionally graded cylindrical shell with several boundary conditions by using the Galerkin method with beam functions of the axial displacement fields. A good agreement is obtained as the present results in comparison with those of publications in the existing literature. In numerical investigations, some influences of volume fraction index, cylindrical shell’s geometric ratios, boundary conditions and elastic foundation parameters on the fundamental frequency of the stiffened cylindrical shell resting on elastic foundation are given. |
| doi_str_mv | 10.1007/s42452-019-1168-y |
| format | Article |
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Material properties of the cylindrical shell are assumed to be varying smoothly and continuously across the thickness according to the power law distribution of the volume fraction of constituents. The governing equations of the stiffened functionally graded cylindrical shell resting on elastic foundation are obtained by using Hamilton’s principle, the first-order shear deformation theory and the Lekhnitsky smeared stiffeners technique. The purpose of the present study is to illustrate a simple approach to get the natural frequency of the stiffened functionally graded cylindrical shell with several boundary conditions by using the Galerkin method with beam functions of the axial displacement fields. A good agreement is obtained as the present results in comparison with those of publications in the existing literature. In numerical investigations, some influences of volume fraction index, cylindrical shell’s geometric ratios, boundary conditions and elastic foundation parameters on the fundamental frequency of the stiffened cylindrical shell resting on elastic foundation are given.</description><identifier>ISSN: 2523-3963</identifier><identifier>EISSN: 2523-3971</identifier><identifier>DOI: 10.1007/s42452-019-1168-y</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>3. Engineering (general) ; Applied and Technical Physics ; Boundary conditions ; Chemistry/Food Science ; Civil engineering ; Composite materials ; Cylindrical shells ; Deformation ; Earth Sciences ; Elastic foundations ; Engineering ; Environment ; Exact solutions ; Free vibration ; Functionally gradient materials ; Galerkin method ; Hamilton's principle ; Material properties ; Materials Science ; Research Article ; Resonant frequencies ; Shear deformation ; Stiffeners</subject><ispartof>SN applied sciences, 2019-10, Vol.1 (10), p.1150, Article 1150</ispartof><rights>Springer Nature Switzerland AG 2019</rights><rights>Springer Nature Switzerland AG 2019.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c359t-bece7bb8ae2ebe2c7729a9853afb84cef8c9472e81bb15f329b48faf2749550c3</citedby><cites>FETCH-LOGICAL-c359t-bece7bb8ae2ebe2c7729a9853afb84cef8c9472e81bb15f329b48faf2749550c3</cites><orcidid>0000-0002-8801-3433</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Nguyen, Van-Loi</creatorcontrib><creatorcontrib>Hoang, Thu-Phuong</creatorcontrib><title>Analytical solution for free vibration of stiffened functionally graded cylindrical shell structure resting on elastic foundation</title><title>SN applied sciences</title><addtitle>SN Appl. Sci</addtitle><description>In this work, the analytical solution for free vibration of functionally graded cylindrical shell with stiffeners resting on Winkler–Pasternak foundation with several boundary conditions is reported. Material properties of the cylindrical shell are assumed to be varying smoothly and continuously across the thickness according to the power law distribution of the volume fraction of constituents. The governing equations of the stiffened functionally graded cylindrical shell resting on elastic foundation are obtained by using Hamilton’s principle, the first-order shear deformation theory and the Lekhnitsky smeared stiffeners technique. The purpose of the present study is to illustrate a simple approach to get the natural frequency of the stiffened functionally graded cylindrical shell with several boundary conditions by using the Galerkin method with beam functions of the axial displacement fields. A good agreement is obtained as the present results in comparison with those of publications in the existing literature. In numerical investigations, some influences of volume fraction index, cylindrical shell’s geometric ratios, boundary conditions and elastic foundation parameters on the fundamental frequency of the stiffened cylindrical shell resting on elastic foundation are given.</description><subject>3. Engineering (general)</subject><subject>Applied and Technical Physics</subject><subject>Boundary conditions</subject><subject>Chemistry/Food Science</subject><subject>Civil engineering</subject><subject>Composite materials</subject><subject>Cylindrical shells</subject><subject>Deformation</subject><subject>Earth Sciences</subject><subject>Elastic foundations</subject><subject>Engineering</subject><subject>Environment</subject><subject>Exact solutions</subject><subject>Free vibration</subject><subject>Functionally gradient materials</subject><subject>Galerkin method</subject><subject>Hamilton's principle</subject><subject>Material properties</subject><subject>Materials Science</subject><subject>Research Article</subject><subject>Resonant frequencies</subject><subject>Shear deformation</subject><subject>Stiffeners</subject><issn>2523-3963</issn><issn>2523-3971</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kEtLAzEUhYMoWGp_gLuA69E8ZppkWYovENzoOiTpTZ0SMzWZEWbpPzftiK7cJJfDOd9NDkKXlFxTQsRNrlndsIpQVVG6lNV4gmasYbziStDT33nJz9Ei5x0hhAnFa8ln6GsVTRj71pmAcxeGvu0i9l3CPgHgz9Ymc5Q6j3Pfeg8RNtgP0R1UE8KIt8lsiubG0MZNmkBvEMrZp8H1QwKcoGTjFhcOBFNmV1YMcXNEX6Azb0KGxc89R693ty_rh-rp-f5xvXqqHG9UX1lwIKyVBhhYYE4IpoySDTfeytqBl07VgoGk1tLGc6ZsLb3xTNSqaYjjc3Q1cfep-xjKi_SuG1L5Q9ZMSFkzwhteXHRyudTlnMDrfWrfTRo1JfpQtp7K1qVsfShbjyXDpkwu3riF9Ef-P_QNx1yGwQ</recordid><startdate>20191001</startdate><enddate>20191001</enddate><creator>Nguyen, Van-Loi</creator><creator>Hoang, Thu-Phuong</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-8801-3433</orcidid></search><sort><creationdate>20191001</creationdate><title>Analytical solution for free vibration of stiffened functionally graded cylindrical shell structure resting on elastic foundation</title><author>Nguyen, Van-Loi ; Hoang, Thu-Phuong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-bece7bb8ae2ebe2c7729a9853afb84cef8c9472e81bb15f329b48faf2749550c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>3. Engineering (general)</topic><topic>Applied and Technical Physics</topic><topic>Boundary conditions</topic><topic>Chemistry/Food Science</topic><topic>Civil engineering</topic><topic>Composite materials</topic><topic>Cylindrical shells</topic><topic>Deformation</topic><topic>Earth Sciences</topic><topic>Elastic foundations</topic><topic>Engineering</topic><topic>Environment</topic><topic>Exact solutions</topic><topic>Free vibration</topic><topic>Functionally gradient materials</topic><topic>Galerkin method</topic><topic>Hamilton's principle</topic><topic>Material properties</topic><topic>Materials Science</topic><topic>Research Article</topic><topic>Resonant frequencies</topic><topic>Shear deformation</topic><topic>Stiffeners</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Nguyen, Van-Loi</creatorcontrib><creatorcontrib>Hoang, Thu-Phuong</creatorcontrib><collection>CrossRef</collection><jtitle>SN applied sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Nguyen, Van-Loi</au><au>Hoang, Thu-Phuong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytical solution for free vibration of stiffened functionally graded cylindrical shell structure resting on elastic foundation</atitle><jtitle>SN applied sciences</jtitle><stitle>SN Appl. 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The purpose of the present study is to illustrate a simple approach to get the natural frequency of the stiffened functionally graded cylindrical shell with several boundary conditions by using the Galerkin method with beam functions of the axial displacement fields. A good agreement is obtained as the present results in comparison with those of publications in the existing literature. In numerical investigations, some influences of volume fraction index, cylindrical shell’s geometric ratios, boundary conditions and elastic foundation parameters on the fundamental frequency of the stiffened cylindrical shell resting on elastic foundation are given.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s42452-019-1168-y</doi><orcidid>https://orcid.org/0000-0002-8801-3433</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | 3. Engineering (general) Applied and Technical Physics Boundary conditions Chemistry/Food Science Civil engineering Composite materials Cylindrical shells Deformation Earth Sciences Elastic foundations Engineering Environment Exact solutions Free vibration Functionally gradient materials Galerkin method Hamilton's principle Material properties Materials Science Research Article Resonant frequencies Shear deformation Stiffeners |
| title | Analytical solution for free vibration of stiffened functionally graded cylindrical shell structure resting on elastic foundation |
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