A solution to the inverse problem of mathematical modeling of structural mechanics for beam elements

The solution of the direct problem of mathematical modeling (DPMM) is a well-studied subject – at present there is a wide variety of software packages aimed at solving it in one degree or another. However, of great practical interest is the inverse problem of mathematical modeling (IPMM), whose solu...

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Published inAIP conference proceedings Vol. 1785; no. 1
Main Author Purgin, A. A.
Format Journal Article Conference Proceeding
LanguageEnglish
Published Melville American Institute of Physics 18.11.2016
Subjects
Inverse problems
Mathematical analysis
Mathematical models
Mechanical systems
Software packages
Online AccessGet full text
ISSN0094-243X
1551-7616
DOI10.1063/1.4967045

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Abstract The solution of the direct problem of mathematical modeling (DPMM) is a well-studied subject – at present there is a wide variety of software packages aimed at solving it in one degree or another. However, of great practical interest is the inverse problem of mathematical modeling (IPMM), whose solution presents considerably more difficulties than DPMM. Due to the complexity of the IPMM problem, there is currently no software product that can effectively obtain its solution. This study concerns the problem of solving the inverse problem of mathematical modeling in the context of statically indeterminate mechanical systems modeled by finite beam elements.
AbstractList The solution of the direct problem of mathematical modeling (DPMM) is a well-studied subject – at present there is a wide variety of software packages aimed at solving it in one degree or another. However, of great practical interest is the inverse problem of mathematical modeling (IPMM), whose solution presents considerably more difficulties than DPMM. Due to the complexity of the IPMM problem, there is currently no software product that can effectively obtain its solution. This study concerns the problem of solving the inverse problem of mathematical modeling in the context of statically indeterminate mechanical systems modeled by finite beam elements.
Author Purgin, A. A.
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Editor Gorkunov, Eduard S.
Panin, Victor E.
Ramasubbu, Sunder
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  surname: Panin
  fullname: Panin, Victor E.
  organization: Institute of Strength Physics and Materials Science of the Siberian Branch of the Russian Academy of Sciences
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  givenname: Sunder
  surname: Ramasubbu
  fullname: Ramasubbu, Sunder
  organization: Bangalore Integrated System Solutions (P) ltd
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References Boggs, Tolle (c4) 2000
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SubjectTerms Inverse problems
Mathematical analysis
Mathematical models
Mechanical systems
Software packages
Title A solution to the inverse problem of mathematical modeling of structural mechanics for beam elements
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