A tool for modal analysis of laminated bending plates
A new finite element for modelling laminated bending plates was defined based on the effective triangular finite element of the discrete Kirchhoff's theory. The plates can be made of layers arranged in any order and consisting of different but orthotropic materials. The suggested finite element...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2006-12-01
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| Series: | Journal of Civil Engineering and Management |
| Subjects: | |
| Online Access: | http://localhost/journals.vgtu.lt/index.php/JCEM/article/view/8825 |
| _version_ | 1818873945395298304 |
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| author | Edvard MichneviÄ |
| author_facet | Edvard MichneviÄ |
| author_sort | Edvard MichneviÄ |
| collection | DOAJ |
| description | A new finite element for modelling laminated bending plates was defined based on the effective triangular finite element of the discrete Kirchhoff's theory. The plates can be made of layers arranged in any order and consisting of different but orthotropic materials. The suggested finite element has 6 degrees of freedom in every node, i e 3 linear displacements and 3 rotations about the axis of coordinates. A mathematical model of the element describes stress and strain effects both in the plane of the element or perpendicular to it, except for shear. The suggested element can be used for calculating laminated plates or beams, not subjected to heavy shear stresses. Some numerical case studies are provided, while the results obtained are compared with the wellâ€known analytical and numerical solutions.
Įrankis sluoksniuotų lenkiamų plokštelių modalinei analizei
Santrauka
Efektyvaus diskretinÄ—s Kirchhofo teorijos trikampio baigtinio elemento DKT pagrindu suformuluotas naujas baigtinis elementas lenkiamoms daugiasluoksnÄ—ms plokÅ¡telÄ—ms modeliuoti. PlokÅ¡telÄ—s gali bÅ«ti sudarytos iÅ¡ kelių bet kokia tvarka iÅ¡dÄ—stytų sluoksnių, kurių medžiaga gali bÅ«ti skirtinga bei ortotropinÄ—. Naujas trikampis baigtinis elementas turi 6 laisvumo laipsnius kiekviename mazge: 3 linijinius poslinkius ir 3 posÅ«kius apie koordinaÄių aÅ¡is. Elemento matematinis modelis apima visus deformacijų ir įtempių efektus tiek elemento plokÅ¡tumoje, tiek statmena Å¡iai plokÅ¡tumai kryptimi, iÅ¡skyrus Å¡lytį. Elementas gali bÅ«ti naudojamas sluoksniuotoms lenkiamoms plokÅ¡telÄ—ms arba sijoms, kurioms Å¡lyties įtaka nežymi, skaiÄiuoti. Darbe pateikti skaitiniai pavyzdžiai, gauti rezultatai palyginti su žinomais analitiniais ir skaitiniais sprendiniais.
Reikšminiai žodžiai: laminatai, kompozitai, kompozitinės struktūros, sluoksniuotosios plokštelės, tiesinė analizė, netiesinė analizė, baigtinis elementas.
First Published Online: 14 Oct 2010 |
| first_indexed | 2024-12-19T13:02:46Z |
| format | Article |
| id | doaj.art-cb1ffcdbcc684484b7710fc1bae841ff |
| institution | Directory Open Access Journal |
| issn | 1392-3730 1822-3605 |
| language | English |
| last_indexed | 2024-12-19T13:02:46Z |
| publishDate | 2006-12-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Journal of Civil Engineering and Management |
| spelling | doaj.art-cb1ffcdbcc684484b7710fc1bae841ff2022-12-21T20:20:11ZengVilnius Gediminas Technical UniversityJournal of Civil Engineering and Management1392-37301822-36052006-12-0112410.3846/13923730.2006.9636409A tool for modal analysis of laminated bending platesEdvard MichneviÄ0Dept of Engineering Mechanics, Vilnius Gediminas Technical University, SaulÄ—tekio al. 11, LT-10223 Vilnius, LithuaniaA new finite element for modelling laminated bending plates was defined based on the effective triangular finite element of the discrete Kirchhoff's theory. The plates can be made of layers arranged in any order and consisting of different but orthotropic materials. The suggested finite element has 6 degrees of freedom in every node, i e 3 linear displacements and 3 rotations about the axis of coordinates. A mathematical model of the element describes stress and strain effects both in the plane of the element or perpendicular to it, except for shear. The suggested element can be used for calculating laminated plates or beams, not subjected to heavy shear stresses. Some numerical case studies are provided, while the results obtained are compared with the wellâ€known analytical and numerical solutions. Ä®rankis sluoksniuotų lenkiamų plokÅ¡telių modalinei analizei Santrauka Efektyvaus diskretinÄ—s Kirchhofo teorijos trikampio baigtinio elemento DKT pagrindu suformuluotas naujas baigtinis elementas lenkiamoms daugiasluoksnÄ—ms plokÅ¡telÄ—ms modeliuoti. PlokÅ¡telÄ—s gali bÅ«ti sudarytos iÅ¡ kelių bet kokia tvarka iÅ¡dÄ—stytų sluoksnių, kurių medžiaga gali bÅ«ti skirtinga bei ortotropinÄ—. Naujas trikampis baigtinis elementas turi 6 laisvumo laipsnius kiekviename mazge: 3 linijinius poslinkius ir 3 posÅ«kius apie koordinaÄių aÅ¡is. Elemento matematinis modelis apima visus deformacijų ir įtempių efektus tiek elemento plokÅ¡tumoje, tiek statmena Å¡iai plokÅ¡tumai kryptimi, iÅ¡skyrus Å¡lytį. Elementas gali bÅ«ti naudojamas sluoksniuotoms lenkiamoms plokÅ¡telÄ—ms arba sijoms, kurioms Å¡lyties įtaka nežymi, skaiÄiuoti. Darbe pateikti skaitiniai pavyzdžiai, gauti rezultatai palyginti su žinomais analitiniais ir skaitiniais sprendiniais. ReikÅ¡miniai žodžiai: laminatai, kompozitai, kompozitinÄ—s struktÅ«ros, sluoksniuotosios plokÅ¡telÄ—s, tiesinÄ— analizÄ—, netiesinÄ— analizÄ—, baigtinis elementas. First Published Online: 14 Oct 2010http://localhost/journals.vgtu.lt/index.php/JCEM/article/view/8825laminatescompositescomposite structureslayered plateslinear analysisnon-linear analysis |
| spellingShingle | Edvard MichneviÄ A tool for modal analysis of laminated bending plates Journal of Civil Engineering and Management laminates composites composite structures layered plates linear analysis non-linear analysis |
| title | A tool for modal analysis of laminated bending plates |
| title_full | A tool for modal analysis of laminated bending plates |
| title_fullStr | A tool for modal analysis of laminated bending plates |
| title_full_unstemmed | A tool for modal analysis of laminated bending plates |
| title_short | A tool for modal analysis of laminated bending plates |
| title_sort | tool for modal analysis of laminated bending plates |
| topic | laminates composites composite structures layered plates linear analysis non-linear analysis |
| url | http://localhost/journals.vgtu.lt/index.php/JCEM/article/view/8825 |
| work_keys_str_mv | AT edvardmichnevia atoolformodalanalysisoflaminatedbendingplates AT edvardmichnevia toolformodalanalysisoflaminatedbendingplates |