Numerical algorithms for the rotary inertia calculation in dynamic problems of perfect plastic membranes and shallow membrane shells under high-intensity loading
The paper addresses the problem of plastic deformation of circular membranes and shallow axisymmetric membrane shells under high-intensity loading considering rotary inertia. The resolving equations systems are obtained, the numerical implementation program and algorithms are developed. The research...
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| creator | Starov, Aleksandr Kalashnikov, Sergei Chauskin, Andrey |
| description | The paper addresses the problem of plastic deformation of circular membranes and shallow axisymmetric membrane shells under high-intensity loading considering rotary inertia. The resolving equations systems are obtained, the numerical implementation program and algorithms are developed. The research methods used in the paper include finite difference method, differential-incremental method of the second and fourth orders of accuracy, the Fourier series solutions with Bessel functions. The results are obtained confirming reasonability of considering rotary inertia. |
| doi_str_mv | 10.1063/1.4973051 |
| format | Conference Proceeding |
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The resolving equations systems are obtained, the numerical implementation program and algorithms are developed. The research methods used in the paper include finite difference method, differential-incremental method of the second and fourth orders of accuracy, the Fourier series solutions with Bessel functions. The results are obtained confirming reasonability of considering rotary inertia.</description><identifier>ISSN: 0094-243X</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/1.4973051</identifier><identifier>CODEN: APCPCS</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Algorithms ; Bessel functions ; Finite difference method ; Fourier series ; Inertia ; Membranes ; Plastic deformation ; Rotary inertia</subject><ispartof>AIP conference proceedings, 2017, Vol.1800 (1)</ispartof><rights>Author(s)</rights><rights>2017 Author(s). 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The resolving equations systems are obtained, the numerical implementation program and algorithms are developed. The research methods used in the paper include finite difference method, differential-incremental method of the second and fourth orders of accuracy, the Fourier series solutions with Bessel functions. The results are obtained confirming reasonability of considering rotary inertia.</description><subject>Algorithms</subject><subject>Bessel functions</subject><subject>Finite difference method</subject><subject>Fourier series</subject><subject>Inertia</subject><subject>Membranes</subject><subject>Plastic deformation</subject><subject>Rotary inertia</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2017</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNp9kU1LxDAQhoMouK4e_AcBb0LXJP3MURa_YNGLgreStNNtljSpSarsz_GfGt1FbzKHgXeemWHeQeickgUlRXpFFxkvU5LTAzSjeU6TsqDFIZoRwrOEZenrMTrxfkMI42VZzdDn4zSAU43QWOi1dSr0g8eddTj0gJ0Nwm2xMuCCEjhSzaRFUNZEDbdbIwbV4NFZqSG22Q6P4DpoAh618CHWBhikEwY8FqbFvhda249fNQqgtceTacHhXq37RJkAxquwxdqKVpn1KTrqhPZwts9z9HJ787y8T1ZPdw_L61UysqoKCXQs3pTLLpdMliKtKuBUCMZplAjrpEhJVpEYRdtQmQMHmZO24VJmlHBI5-hiNzee8zaBD_XGTs7ElTWjLCt4RSiN1OWO8o0KP07Uo1NDdKmmpP5-QU3r_Qv-g9-t-wPrse3SLwMIi_Q</recordid><startdate>20170110</startdate><enddate>20170110</enddate><creator>Starov, Aleksandr</creator><creator>Kalashnikov, Sergei</creator><creator>Chauskin, Andrey</creator><general>American Institute of Physics</general><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20170110</creationdate><title>Numerical algorithms for the rotary inertia calculation in dynamic problems of perfect plastic membranes and shallow membrane shells under high-intensity loading</title><author>Starov, Aleksandr ; Kalashnikov, Sergei ; Chauskin, Andrey</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p288t-ef20295bf5b2b7a388e91aa291bf502fba304808086dc1b5e9eb50dc9bb4109e3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Algorithms</topic><topic>Bessel functions</topic><topic>Finite difference method</topic><topic>Fourier series</topic><topic>Inertia</topic><topic>Membranes</topic><topic>Plastic deformation</topic><topic>Rotary inertia</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Starov, Aleksandr</creatorcontrib><creatorcontrib>Kalashnikov, Sergei</creatorcontrib><creatorcontrib>Chauskin, Andrey</creatorcontrib><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Starov, Aleksandr</au><au>Kalashnikov, Sergei</au><au>Chauskin, Andrey</au><au>Kopanitsa, Natalia</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Numerical algorithms for the rotary inertia calculation in dynamic problems of perfect plastic membranes and shallow membrane shells under high-intensity loading</atitle><btitle>AIP conference proceedings</btitle><date>2017-01-10</date><risdate>2017</risdate><volume>1800</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><coden>APCPCS</coden><abstract>The paper addresses the problem of plastic deformation of circular membranes and shallow axisymmetric membrane shells under high-intensity loading considering rotary inertia. The resolving equations systems are obtained, the numerical implementation program and algorithms are developed. The research methods used in the paper include finite difference method, differential-incremental method of the second and fourth orders of accuracy, the Fourier series solutions with Bessel functions. The results are obtained confirming reasonability of considering rotary inertia.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/1.4973051</doi><tpages>13</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0094-243X |
| ispartof | AIP conference proceedings, 2017, Vol.1800 (1) |
| issn | 0094-243X 1551-7616 |
| language | eng |
| recordid | cdi_scitation_primary_10_1063_1_4973051 |
| source | AIP Journals Complete |
| subjects | Algorithms Bessel functions Finite difference method Fourier series Inertia Membranes Plastic deformation Rotary inertia |
| title | Numerical algorithms for the rotary inertia calculation in dynamic problems of perfect plastic membranes and shallow membrane shells under high-intensity loading |
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