Numerical Realization of the Method of Subsequent Parameters Perturbation for Calculating a Stress-Strain State of the Shell
During the application of approximated methods of estimations for calculating a stress-strain state of the shell an explicit question of accuracy and resource-intensiveness of the method is raised. From that point of view, the method of subsequent parameters perturbation (MSPP), developed by Vladlen...
Gespeichert in:
| Veröffentlicht in: | Applied mechanics and materials 2015-10, Vol.799-800 (Mechanical and Electrical Technology VII), p.656-659 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 659 |
|---|---|
| container_issue | Mechanical and Electrical Technology VII |
| container_start_page | 656 |
| container_title | Applied mechanics and materials |
| container_volume | 799-800 |
| creator | Bessonov, Leonid V. |
| description | During the application of approximated methods of estimations for calculating a stress-strain state of the shell an explicit question of accuracy and resource-intensiveness of the method is raised. From that point of view, the method of subsequent parameters perturbation (MSPP), developed by Vladlen V. Petrov in 1975, can be called the most effective one. The result of the application of this method is that the solution of a nonlinear model can be reduced to the sequence of solutions of systems of linear equations. The application of the method of Bubnov-Galerkin for solving linear equations is conjugated with the necessity of building the basis system of functions for every concerned problem. The method of building the basis system of functions for the shell with the boundaries of arbitrary configuration is offered in this paper.. |
| doi_str_mv | 10.4028/www.scientific.net/AMM.799-800.656 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1770352635</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1770352635</sourcerecordid><originalsourceid>FETCH-LOGICAL-c1816-63159eb94ff03092500c9dcb65ad34ade4864417dc7459b3e7a65d1d1e4a7bb3</originalsourceid><addsrcrecordid>eNqNkUtv1DAUhS0oEm3hP1hig5CS2vErXpbhKXXaiumCneU4N4yrTFJsRyMQP55bBgRi1dXVkY_P8fVHyCvOasma9my_39c5RJhKHGKoJyhn5-t1baytWsZqrfQjcsy1bioj2-YxORFMtEJpwT8f_TpglRVCPyUnOd8ypiWX7TH5cbnsIMXgR_oJ_Bi_-xLnic4DLVugayjbub9Xm6XL8HXBdnrtk99BgZTpNaSypO5wZ5gTXfkxLCPq6Qv1dFMS5Fzh8HFC5Qv8Sd5sYRyfkSeDHzM8_z1Pyc27tzerD9XF1fuPq_OLKvCW6wpXUBY6K4eBCWYbxViwfei08r2QvgfZaim56YORynYCjNeq5z0H6U3XiVPy8hB7l2ZcIRe3izlgv59gXrLjxjChGi0UWl_8Z72dlzTh49DVKMukMS26Xh9cIc05JxjcXYo7n745ztw9LIew3F9YDmE5hOUQlkNYDmFhyJtDCP7OlAuE7T9dD4_5CZNJpt4</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1725904778</pqid></control><display><type>article</type><title>Numerical Realization of the Method of Subsequent Parameters Perturbation for Calculating a Stress-Strain State of the Shell</title><source>Scientific.net Journals</source><creator>Bessonov, Leonid V.</creator><creatorcontrib>Bessonov, Leonid V.</creatorcontrib><description>During the application of approximated methods of estimations for calculating a stress-strain state of the shell an explicit question of accuracy and resource-intensiveness of the method is raised. From that point of view, the method of subsequent parameters perturbation (MSPP), developed by Vladlen V. Petrov in 1975, can be called the most effective one. The result of the application of this method is that the solution of a nonlinear model can be reduced to the sequence of solutions of systems of linear equations. The application of the method of Bubnov-Galerkin for solving linear equations is conjugated with the necessity of building the basis system of functions for every concerned problem. The method of building the basis system of functions for the shell with the boundaries of arbitrary configuration is offered in this paper..</description><identifier>ISSN: 1660-9336</identifier><identifier>ISSN: 1662-7482</identifier><identifier>ISBN: 303835631X</identifier><identifier>ISBN: 9783038356318</identifier><identifier>EISSN: 1662-7482</identifier><identifier>DOI: 10.4028/www.scientific.net/AMM.799-800.656</identifier><language>eng</language><publisher>Zurich: Trans Tech Publications Ltd</publisher><subject>Boundaries ; Buildings ; Construction ; Linear equations ; Mathematical analysis ; Mathematical models ; Perturbation methods ; Stress-strain relationships</subject><ispartof>Applied mechanics and materials, 2015-10, Vol.799-800 (Mechanical and Electrical Technology VII), p.656-659</ispartof><rights>2015 Trans Tech Publications Ltd</rights><rights>Copyright Trans Tech Publications Ltd. Oct 2015</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttps://www.scientific.net/Image/TitleCover/4211?width=600</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Bessonov, Leonid V.</creatorcontrib><title>Numerical Realization of the Method of Subsequent Parameters Perturbation for Calculating a Stress-Strain State of the Shell</title><title>Applied mechanics and materials</title><description>During the application of approximated methods of estimations for calculating a stress-strain state of the shell an explicit question of accuracy and resource-intensiveness of the method is raised. From that point of view, the method of subsequent parameters perturbation (MSPP), developed by Vladlen V. Petrov in 1975, can be called the most effective one. The result of the application of this method is that the solution of a nonlinear model can be reduced to the sequence of solutions of systems of linear equations. The application of the method of Bubnov-Galerkin for solving linear equations is conjugated with the necessity of building the basis system of functions for every concerned problem. The method of building the basis system of functions for the shell with the boundaries of arbitrary configuration is offered in this paper..</description><subject>Boundaries</subject><subject>Buildings</subject><subject>Construction</subject><subject>Linear equations</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Perturbation methods</subject><subject>Stress-strain relationships</subject><issn>1660-9336</issn><issn>1662-7482</issn><issn>1662-7482</issn><isbn>303835631X</isbn><isbn>9783038356318</isbn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNqNkUtv1DAUhS0oEm3hP1hig5CS2vErXpbhKXXaiumCneU4N4yrTFJsRyMQP55bBgRi1dXVkY_P8fVHyCvOasma9my_39c5RJhKHGKoJyhn5-t1baytWsZqrfQjcsy1bioj2-YxORFMtEJpwT8f_TpglRVCPyUnOd8ypiWX7TH5cbnsIMXgR_oJ_Bi_-xLnic4DLVugayjbub9Xm6XL8HXBdnrtk99BgZTpNaSypO5wZ5gTXfkxLCPq6Qv1dFMS5Fzh8HFC5Qv8Sd5sYRyfkSeDHzM8_z1Pyc27tzerD9XF1fuPq_OLKvCW6wpXUBY6K4eBCWYbxViwfei08r2QvgfZaim56YORynYCjNeq5z0H6U3XiVPy8hB7l2ZcIRe3izlgv59gXrLjxjChGi0UWl_8Z72dlzTh49DVKMukMS26Xh9cIc05JxjcXYo7n745ztw9LIew3F9YDmE5hOUQlkNYDmFhyJtDCP7OlAuE7T9dD4_5CZNJpt4</recordid><startdate>20151019</startdate><enddate>20151019</enddate><creator>Bessonov, Leonid V.</creator><general>Trans Tech Publications Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>8BQ</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BFMQW</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>FR3</scope><scope>HCIFZ</scope><scope>JG9</scope><scope>KB.</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>PDBOC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20151019</creationdate><title>Numerical Realization of the Method of Subsequent Parameters Perturbation for Calculating a Stress-Strain State of the Shell</title><author>Bessonov, Leonid V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1816-63159eb94ff03092500c9dcb65ad34ade4864417dc7459b3e7a65d1d1e4a7bb3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Boundaries</topic><topic>Buildings</topic><topic>Construction</topic><topic>Linear equations</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Perturbation methods</topic><topic>Stress-strain relationships</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bessonov, Leonid V.</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Continental Europe Database</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>SciTech Premium Collection</collection><collection>Materials Research Database</collection><collection>Materials Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Materials Science Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>Applied mechanics and materials</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bessonov, Leonid V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Numerical Realization of the Method of Subsequent Parameters Perturbation for Calculating a Stress-Strain State of the Shell</atitle><jtitle>Applied mechanics and materials</jtitle><date>2015-10-19</date><risdate>2015</risdate><volume>799-800</volume><issue>Mechanical and Electrical Technology VII</issue><spage>656</spage><epage>659</epage><pages>656-659</pages><issn>1660-9336</issn><issn>1662-7482</issn><eissn>1662-7482</eissn><isbn>303835631X</isbn><isbn>9783038356318</isbn><abstract>During the application of approximated methods of estimations for calculating a stress-strain state of the shell an explicit question of accuracy and resource-intensiveness of the method is raised. From that point of view, the method of subsequent parameters perturbation (MSPP), developed by Vladlen V. Petrov in 1975, can be called the most effective one. The result of the application of this method is that the solution of a nonlinear model can be reduced to the sequence of solutions of systems of linear equations. The application of the method of Bubnov-Galerkin for solving linear equations is conjugated with the necessity of building the basis system of functions for every concerned problem. The method of building the basis system of functions for the shell with the boundaries of arbitrary configuration is offered in this paper..</abstract><cop>Zurich</cop><pub>Trans Tech Publications Ltd</pub><doi>10.4028/www.scientific.net/AMM.799-800.656</doi><tpages>4</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1660-9336 |
| ispartof | Applied mechanics and materials, 2015-10, Vol.799-800 (Mechanical and Electrical Technology VII), p.656-659 |
| issn | 1660-9336 1662-7482 1662-7482 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1770352635 |
| source | Scientific.net Journals |
| subjects | Boundaries Buildings Construction Linear equations Mathematical analysis Mathematical models Perturbation methods Stress-strain relationships |
| title | Numerical Realization of the Method of Subsequent Parameters Perturbation for Calculating a Stress-Strain State of the Shell |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-03T07%3A17%3A07IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Numerical%20Realization%20of%20the%20Method%20of%20Subsequent%20Parameters%20Perturbation%20for%20Calculating%20a%20Stress-Strain%20State%20of%20the%20Shell&rft.jtitle=Applied%20mechanics%20and%20materials&rft.au=Bessonov,%20Leonid%20V.&rft.date=2015-10-19&rft.volume=799-800&rft.issue=Mechanical%20and%20Electrical%20Technology%20VII&rft.spage=656&rft.epage=659&rft.pages=656-659&rft.issn=1660-9336&rft.eissn=1662-7482&rft.isbn=303835631X&rft.isbn_list=9783038356318&rft_id=info:doi/10.4028/www.scientific.net/AMM.799-800.656&rft_dat=%3Cproquest_cross%3E1770352635%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1725904778&rft_id=info:pmid/&rfr_iscdi=true |