Shape functions generation using Macsyma.
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| Title: | Shape functions generation using Macsyma. |
|---|---|
| Authors: | Chee, C.1 cheec@aero.usyd.edu.au, Tong, L.1, Steven, G.1 |
| Source: | Communications in Numerical Methods in Engineering. Oct2000, Vol. 16 Issue 10, p705-719. 15p. 3 Diagrams, 2 Charts. |
| Subjects: | Algorithms, Macsyma (Computer software), Computer software, Finite element method, Numerical analysis |
| Abstract: | An algorithm for the generation of general shape functions is presented here. The algorithm is coded using the Macsyma program which has symbolic/algebraic manipulation capabilities. The current technique is based on the direct approach of calculating shape functions which is seldom used due to manual algebraic tediousness. Listing of the code is included in this paper as well as examples showing how it correctly generates some of the common shape functions with ease. Two examples of new shape functions were created for C2 elements. Hence, the more useful purpose of this algorithm is that it can be used to investigate the existence of new types of shape functions by making use of the power of symbolic computational software. Copyright © 2000 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR] |
| Copyright of Communications in Numerical Methods in Engineering is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 13440346 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Shape functions generation using Macsyma. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Chee%2C+C%2E%22">Chee, C.</searchLink><relatesTo>1</relatesTo><i> cheec@aero.usyd.edu.au</i><br /><searchLink fieldCode="AR" term="%22Tong%2C+L%2E%22">Tong, L.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Steven%2C+G%2E%22">Steven, G.</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Communications+in+Numerical+Methods+in+Engineering%22">Communications in Numerical Methods in Engineering</searchLink>. Oct2000, Vol. 16 Issue 10, p705-719. 15p. 3 Diagrams, 2 Charts. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Macsyma+%28Computer+software%29%22">Macsyma (Computer software)</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+software%22">Computer software</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: An algorithm for the generation of general shape functions is presented here. The algorithm is coded using the Macsyma program which has symbolic/algebraic manipulation capabilities. The current technique is based on the direct approach of calculating shape functions which is seldom used due to manual algebraic tediousness. Listing of the code is included in this paper as well as examples showing how it correctly generates some of the common shape functions with ease. Two examples of new shape functions were created for C2 elements. Hence, the more useful purpose of this algorithm is that it can be used to investigate the existence of new types of shape functions by making use of the power of symbolic computational software. Copyright © 2000 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Communications in Numerical Methods in Engineering is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1002/1099-0887(200010)16:10<705::AID-CNM327>3.0.CO;2-O Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 705 Subjects: – SubjectFull: Algorithms Type: general – SubjectFull: Macsyma (Computer software) Type: general – SubjectFull: Computer software Type: general – SubjectFull: Finite element method Type: general – SubjectFull: Numerical analysis Type: general Titles: – TitleFull: Shape functions generation using Macsyma. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Chee, C. – PersonEntity: Name: NameFull: Tong, L. – PersonEntity: Name: NameFull: Steven, G. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: Oct2000 Type: published Y: 2000 Identifiers: – Type: issn-print Value: 10698299 Numbering: – Type: volume Value: 16 – Type: issue Value: 10 Titles: – TitleFull: Communications in Numerical Methods in Engineering Type: main |
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