Free and forced vibration of variable stiffness composite annular thin plates with elastically restrained edges
Based on the classical plate theory, free and forced vibration of variable stiffness composite annular thin plates with elastically restrained edges is studied. Material properties are assumed to be varied continuously in the radial direction, and the thickness of the plates also varies linearly. Th...
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| Veröffentlicht in: | Composite structures 2016-08, Vol.149, p.398-407 |
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| creator | Tan, Ping Nie, G.J. |
| description | Based on the classical plate theory, free and forced vibration of variable stiffness composite annular thin plates with elastically restrained edges is studied. Material properties are assumed to be varied continuously in the radial direction, and the thickness of the plates also varies linearly. The frequencies and vibration modes of composite annular thin plates with variable stiffness with elastically restrained edges were obtained by the method of weighted residuals. Numerical results demonstrate that the method of weighted residuals has fast convergence and high accuracy. The influence of material parameters, geometrical parameters and the frequency of external forces on the dynamic performance of annular thin plates with variable stiffness is studied. It is found that the transverse mode shapes of the plates with in-plane variable stiffness are different from those with constant stiffness. The results of this paper can provide a reference for the optimization design of annular thin plates with variable stiffness. |
| doi_str_mv | 10.1016/j.compstruct.2016.04.021 |
| format | Article |
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Material properties are assumed to be varied continuously in the radial direction, and the thickness of the plates also varies linearly. The frequencies and vibration modes of composite annular thin plates with variable stiffness with elastically restrained edges were obtained by the method of weighted residuals. Numerical results demonstrate that the method of weighted residuals has fast convergence and high accuracy. The influence of material parameters, geometrical parameters and the frequency of external forces on the dynamic performance of annular thin plates with variable stiffness is studied. It is found that the transverse mode shapes of the plates with in-plane variable stiffness are different from those with constant stiffness. The results of this paper can provide a reference for the optimization design of annular thin plates with variable stiffness.</description><identifier>ISSN: 0263-8223</identifier><identifier>EISSN: 1879-1085</identifier><identifier>DOI: 10.1016/j.compstruct.2016.04.021</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Annular ; Annular thin plates ; Constants ; Convergence ; Forced vibration ; Free vibration ; Mathematical models ; Plates (structural members) ; Stiffness ; The method of weighted residuals ; Thin plates ; Variable stiffness</subject><ispartof>Composite structures, 2016-08, Vol.149, p.398-407</ispartof><rights>2016 Elsevier Ltd</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c351t-5b6baf90525d00abb2055a81bda769e0d037a7c017a3c3d9cf8850bd67bf2b1a3</citedby><cites>FETCH-LOGICAL-c351t-5b6baf90525d00abb2055a81bda769e0d037a7c017a3c3d9cf8850bd67bf2b1a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.compstruct.2016.04.021$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,777,781,3537,27905,27906,45976</link.rule.ids></links><search><creatorcontrib>Tan, Ping</creatorcontrib><creatorcontrib>Nie, G.J.</creatorcontrib><title>Free and forced vibration of variable stiffness composite annular thin plates with elastically restrained edges</title><title>Composite structures</title><description>Based on the classical plate theory, free and forced vibration of variable stiffness composite annular thin plates with elastically restrained edges is studied. Material properties are assumed to be varied continuously in the radial direction, and the thickness of the plates also varies linearly. The frequencies and vibration modes of composite annular thin plates with variable stiffness with elastically restrained edges were obtained by the method of weighted residuals. Numerical results demonstrate that the method of weighted residuals has fast convergence and high accuracy. The influence of material parameters, geometrical parameters and the frequency of external forces on the dynamic performance of annular thin plates with variable stiffness is studied. It is found that the transverse mode shapes of the plates with in-plane variable stiffness are different from those with constant stiffness. The results of this paper can provide a reference for the optimization design of annular thin plates with variable stiffness.</description><subject>Annular</subject><subject>Annular thin plates</subject><subject>Constants</subject><subject>Convergence</subject><subject>Forced vibration</subject><subject>Free vibration</subject><subject>Mathematical models</subject><subject>Plates (structural members)</subject><subject>Stiffness</subject><subject>The method of weighted residuals</subject><subject>Thin plates</subject><subject>Variable stiffness</subject><issn>0263-8223</issn><issn>1879-1085</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNqFkEFrGzEQhUVJoY7b_6BjL7sZ7Xp35WNj6qQQ6CU5i5E0qmXklSPJLv73lXGhx54GhvfevPkY4wJaAWJ82LcmHo65pJMpbVc3Laxa6MQHthByWjcC5HDHFtCNfSO7rv_E7nPeA4BcCbFgcZuIOM6Wu5gMWX72OmHxcebR8TMmjzoQz8U7N1PO_HotZl-upvkUMPGy8zM_BiyU-W9fdpwCVr3BEC48Ua2Gfq7JZH9R_sw-OgyZvvydS_a2_f66eW5efj792Hx7aUw_iNIMetTo1jB0gwVArTsYBpRCW5zGNYGFfsLJgJiwN71dGyflANqOk3adFtgv2ddb7jHF91MtoQ4-GwoBZ4qnrIQUI_RjhVCl8iY1KeacyKlj8gdMFyVAXRmrvfrHWF0ZK1ipyrhaH29Wqq-cPSWVjae5cvSJqtZG__-QP8e4jek</recordid><startdate>20160801</startdate><enddate>20160801</enddate><creator>Tan, Ping</creator><creator>Nie, G.J.</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>8FD</scope><scope>H8D</scope><scope>JG9</scope><scope>L7M</scope></search><sort><creationdate>20160801</creationdate><title>Free and forced vibration of variable stiffness composite annular thin plates with elastically restrained edges</title><author>Tan, Ping ; Nie, G.J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c351t-5b6baf90525d00abb2055a81bda769e0d037a7c017a3c3d9cf8850bd67bf2b1a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Annular</topic><topic>Annular thin plates</topic><topic>Constants</topic><topic>Convergence</topic><topic>Forced vibration</topic><topic>Free vibration</topic><topic>Mathematical models</topic><topic>Plates (structural members)</topic><topic>Stiffness</topic><topic>The method of weighted residuals</topic><topic>Thin plates</topic><topic>Variable stiffness</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tan, Ping</creatorcontrib><creatorcontrib>Nie, G.J.</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Composite structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tan, Ping</au><au>Nie, G.J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Free and forced vibration of variable stiffness composite annular thin plates with elastically restrained edges</atitle><jtitle>Composite structures</jtitle><date>2016-08-01</date><risdate>2016</risdate><volume>149</volume><spage>398</spage><epage>407</epage><pages>398-407</pages><issn>0263-8223</issn><eissn>1879-1085</eissn><abstract>Based on the classical plate theory, free and forced vibration of variable stiffness composite annular thin plates with elastically restrained edges is studied. Material properties are assumed to be varied continuously in the radial direction, and the thickness of the plates also varies linearly. The frequencies and vibration modes of composite annular thin plates with variable stiffness with elastically restrained edges were obtained by the method of weighted residuals. Numerical results demonstrate that the method of weighted residuals has fast convergence and high accuracy. The influence of material parameters, geometrical parameters and the frequency of external forces on the dynamic performance of annular thin plates with variable stiffness is studied. It is found that the transverse mode shapes of the plates with in-plane variable stiffness are different from those with constant stiffness. The results of this paper can provide a reference for the optimization design of annular thin plates with variable stiffness.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.compstruct.2016.04.021</doi><tpages>10</tpages></addata></record> |
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| source | Elsevier ScienceDirect Journals |
| subjects | Annular Annular thin plates Constants Convergence Forced vibration Free vibration Mathematical models Plates (structural members) Stiffness The method of weighted residuals Thin plates Variable stiffness |
| title | Free and forced vibration of variable stiffness composite annular thin plates with elastically restrained edges |
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