Comparison of different plane models in finite element software in structural mechanics
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2010), pp. 44-50.

Voir la notice de l'article provenant de la source Math-Net.Ru

In solution of plane problems of mechanics there are several elements used in finite element software. In $\mathrm{ANSYS}$, one of the best finite element software, there are about six type of elements. We consider different Plane Models in simple bending problem and compare the various results to distinguish the type of elements, which are suitable for solving the problem under consideration. Comparing results with analytical solutions shows that the Plane $42$ and $82$ models are the most suitable ones among the others. Also results in Plane $42$ with usual mesh is closer to the same problem solution with fine mesh than Plane $82$ in the same case.
Keywords: beam, bending, frequency, finite element.
@article{UZERU_2010_3_a5,
     author = {B. Yazdizadeh},
     title = {Comparison of different plane models in finite element software in structural mechanics},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {44--50},
     publisher = {mathdoc},
     number = {3},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2010_3_a5/}
}
TY  - JOUR
AU  - B. Yazdizadeh
TI  - Comparison of different plane models in finite element software in structural mechanics
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2010
SP  - 44
EP  - 50
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2010_3_a5/
LA  - en
ID  - UZERU_2010_3_a5
ER  - 
%0 Journal Article
%A B. Yazdizadeh
%T Comparison of different plane models in finite element software in structural mechanics
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2010
%P 44-50
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2010_3_a5/
%G en
%F UZERU_2010_3_a5
B. Yazdizadeh. Comparison of different plane models in finite element software in structural mechanics. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2010), pp. 44-50. http://geodesic.mathdoc.fr/item/UZERU_2010_3_a5/

[1] K.K. Gupta, J.L. Meek, “A Brief History of the Beginning of the Finite Element Method”, International Journal for Numerical Methods in Engineering, 39 (1996), 14 | 3.0.CO;2-5 class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI

[2] S.R. Singiresu, The Finite Element Method in Engineering, 4$^{\mathrm{th}}$ ed., Elsevier Science $\$ Technology Books, 2004, 658 pp.

[3] M. Cervera, “An orthotropic mesh corrected crack model”, Computer Methods in Applied Mechanics and Engineering, 197 (2008), 1603–1619 | DOI | Zbl

[4] E.P. Popov, Engineering Mechanics of Solids, 1$^{\mathrm{th}}$ ed., Prentice-Hall, New Jersy, 1990, 760 pp.

[5] F.P. Beer, E.R. Johnson, Mechanics of Material, 2$^{\mathrm{th}}$ ed., Mc Graw-Hill, NY, 1925, 532 pp.

[6] S.P. Timoshenko, J.N. Goodier, Theory of Elasticity, 3$^{\mathrm{th}}$ ed., Mac Graw-Hill, NY, 1970, 506 pp.

[7] S.P. Timoshenko, Vibration Problems in Engineering, 2$^{\mathrm{th}}$ ed., D. Van Nostrand Company, INC, NY, 1937, 465 pp.

[8] B. Yazdizadeh, H. Yeghiazaryan, Polytechnic University Journal, 2010, 9

[9] Ansys Workbench help, NY, 2007