Vibration characteristics of zigzag FGM single-walled carbon nanotubes based on Ritz method with ring-stiffeners
In this study, Rayleigh–Ritz method is used for free vibrations of functionally graded carbon nanotubes based on Sander’s shell theory. The effects of various parameters for length-to-diameter ratio and height-to-diameter ratio for zigzag single-walled carbon nanotubes have been fully inspected. The...
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| Veröffentlicht in: | Indian journal of physics 2021-10, Vol.95 (10), p.2023-2034 |
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| container_title | Indian journal of physics |
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| creator | Hussain, Muzamal Naeem, Muhammad Nawaz |
| description | In this study, Rayleigh–Ritz method is used for free vibrations of functionally graded carbon nanotubes based on Sander’s shell theory. The effects of various parameters for length-to-diameter ratio and height-to-diameter ratio for zigzag single-walled carbon nanotubes have been fully inspected. The frequency pattern with mass density per unit lateral area and in-plane rigidity has been calculated and found reverse order. The tube material is taken as functionally graded material and their material quantity is located by the polynomial volume fraction law. It is examined that the frequencies increase on increasing the ratio of height-to-diameter. Moreover, the impact of ring supports around the tube circumferential is studied for their various positions along tube axial length. These rings are restrained the radial displacement in the transverse direction. |
| doi_str_mv | 10.1007/s12648-020-01894-1 |
| format | Article |
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The effects of various parameters for length-to-diameter ratio and height-to-diameter ratio for zigzag single-walled carbon nanotubes have been fully inspected. The frequency pattern with mass density per unit lateral area and in-plane rigidity has been calculated and found reverse order. The tube material is taken as functionally graded material and their material quantity is located by the polynomial volume fraction law. It is examined that the frequencies increase on increasing the ratio of height-to-diameter. Moreover, the impact of ring supports around the tube circumferential is studied for their various positions along tube axial length. 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The effects of various parameters for length-to-diameter ratio and height-to-diameter ratio for zigzag single-walled carbon nanotubes have been fully inspected. The frequency pattern with mass density per unit lateral area and in-plane rigidity has been calculated and found reverse order. The tube material is taken as functionally graded material and their material quantity is located by the polynomial volume fraction law. It is examined that the frequencies increase on increasing the ratio of height-to-diameter. Moreover, the impact of ring supports around the tube circumferential is studied for their various positions along tube axial length. These rings are restrained the radial displacement in the transverse direction.</description><subject>Astrophysics and Astroparticles</subject><subject>Carbon</subject><subject>Diameters</subject><subject>Free vibration</subject><subject>Functionally gradient materials</subject><subject>Mathematical analysis</subject><subject>Original Paper</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Polynomials</subject><subject>Ritz method</subject><subject>Shell theory</subject><subject>Single wall carbon nanotubes</subject><subject>Stiffeners</subject><issn>0973-1458</issn><issn>0974-9845</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9kE9LAzEQxYMoWP98AU8Bz9Ekm80mRym2ChVB1GvIZpM2Zbu7JinFfnrTruDNwzDDY35vmAfADcF3BOPqPhLKmUCYYoSJkAyREzDBsmJIClaeHucCEVaKc3AR4xpjLklVTsDw6eugk-87aFY6aJNs8DF5E2Hv4N4v93oJZ_MXGH23bC3a6ba1DTQ61BnpdNenbW0jrHXMcpbefNrDjU2rvoE7n1YwZBBlR-dsZ0O8AmdOt9Fe__ZL8DF7fJ8-ocXr_Hn6sECmIDIhWjJhudDSWdkYQWsqypIWHNvKYmdySSapKwlvGK8p0YwbJxipakIbqWlxCW5H3yH0X1sbk1r329Dlk4qWFee8oviwRcctE_oYg3VqCH6jw7ciWB2SVWOyKierjskqkqFihOJweM6GP-t_qB_8cnzp</recordid><startdate>20211001</startdate><enddate>20211001</enddate><creator>Hussain, Muzamal</creator><creator>Naeem, Muhammad Nawaz</creator><general>Springer India</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-6226-359X</orcidid></search><sort><creationdate>20211001</creationdate><title>Vibration characteristics of zigzag FGM single-walled carbon nanotubes based on Ritz method with ring-stiffeners</title><author>Hussain, Muzamal ; Naeem, Muhammad Nawaz</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-2548e68a9fe9dc82b28552360e7e0fce0f9492f516d46b21a46cf8417b12d9a23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Astrophysics and Astroparticles</topic><topic>Carbon</topic><topic>Diameters</topic><topic>Free vibration</topic><topic>Functionally gradient materials</topic><topic>Mathematical analysis</topic><topic>Original Paper</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Polynomials</topic><topic>Ritz method</topic><topic>Shell theory</topic><topic>Single wall carbon nanotubes</topic><topic>Stiffeners</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hussain, Muzamal</creatorcontrib><creatorcontrib>Naeem, Muhammad Nawaz</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Indian journal of physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hussain, Muzamal</au><au>Naeem, Muhammad Nawaz</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Vibration characteristics of zigzag FGM single-walled carbon nanotubes based on Ritz method with ring-stiffeners</atitle><jtitle>Indian journal of physics</jtitle><stitle>Indian J Phys</stitle><date>2021-10-01</date><risdate>2021</risdate><volume>95</volume><issue>10</issue><spage>2023</spage><epage>2034</epage><pages>2023-2034</pages><issn>0973-1458</issn><eissn>0974-9845</eissn><abstract>In this study, Rayleigh–Ritz method is used for free vibrations of functionally graded carbon nanotubes based on Sander’s shell theory. The effects of various parameters for length-to-diameter ratio and height-to-diameter ratio for zigzag single-walled carbon nanotubes have been fully inspected. The frequency pattern with mass density per unit lateral area and in-plane rigidity has been calculated and found reverse order. The tube material is taken as functionally graded material and their material quantity is located by the polynomial volume fraction law. It is examined that the frequencies increase on increasing the ratio of height-to-diameter. Moreover, the impact of ring supports around the tube circumferential is studied for their various positions along tube axial length. These rings are restrained the radial displacement in the transverse direction.</abstract><cop>New Delhi</cop><pub>Springer India</pub><doi>10.1007/s12648-020-01894-1</doi><tpages>12</tpages><orcidid>https://orcid.org/0000-0002-6226-359X</orcidid></addata></record> |
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| subjects | Astrophysics and Astroparticles Carbon Diameters Free vibration Functionally gradient materials Mathematical analysis Original Paper Physics Physics and Astronomy Polynomials Ritz method Shell theory Single wall carbon nanotubes Stiffeners |
| title | Vibration characteristics of zigzag FGM single-walled carbon nanotubes based on Ritz method with ring-stiffeners |
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