An Approach to the Optimization of a Thin-walled Z-beam

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ANĐELIĆ, Nina ;MILOŠEVIĆ MITIĆ, Vesna ;MANESKI, Taško .
An Approach to the Optimization of a Thin-walled Z-beam. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 55, n.12, p. 742-748, october 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/an-approach-to-the-optimization-of-a-thin-walled-z-beam/>. Date accessed: 04 dec. 2021. 
doi:http://dx.doi.org/.
Anđelić, N., Milošević Mitić, V., & Maneski, T.
(2009).
An Approach to the Optimization of a Thin-walled Z-beam.
Strojniški vestnik - Journal of Mechanical Engineering, 55(12), 742-748.
doi:http://dx.doi.org/
@article{.,
	author = {Nina  Anđelić and Vesna  Milošević Mitić and Taško  Maneski},
	title = {An Approach to the Optimization of a Thin-walled Z-beam},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {55},
	number = {12},
	year = {2009},
	keywords = {optimization; thin-walled beams; optimal dimensions; stress constraints; saved mass; },
	abstract = {One approach to the optimization of a thin-walled open section Z-beam subjected to bending and to the constrained torsion is considered. For given loads, material and geometrical characteristics the problem is reduced to the determination of minimum mass i.e. minimum cross-sectional area of a structural thin-walled beam of a chosen shape. The area of the cross section is assumed to be the objective function. The stress constraints are introduced. A general case when bending moments about two centroidal axes and the bimoment are acting simultaneously is derived, and then some particular loading cases are considered. A method of solving the optimal relation of the parts of the considered cross-section is described. Applying the Lagrange multiplier method, the equations, whose solutions represent the optimal values of the ratios of the parts of the chosen cross-section, are formed. The obtained results are used for numerical calculation.},
	issn = {0039-2480},	pages = {742-748},	doi = {},
	url = {https://www.sv-jme.eu/article/an-approach-to-the-optimization-of-a-thin-walled-z-beam/}
}
Anđelić, N.,Milošević Mitić, V.,Maneski, T.
2009 October 55. An Approach to the Optimization of a Thin-walled Z-beam. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 55:12
%A Anđelić, Nina 
%A Milošević Mitić, Vesna 
%A Maneski, Taško 
%D 2009
%T An Approach to the Optimization of a Thin-walled Z-beam
%B 2009
%9 optimization; thin-walled beams; optimal dimensions; stress constraints; saved mass; 
%! An Approach to the Optimization of a Thin-walled Z-beam
%K optimization; thin-walled beams; optimal dimensions; stress constraints; saved mass; 
%X One approach to the optimization of a thin-walled open section Z-beam subjected to bending and to the constrained torsion is considered. For given loads, material and geometrical characteristics the problem is reduced to the determination of minimum mass i.e. minimum cross-sectional area of a structural thin-walled beam of a chosen shape. The area of the cross section is assumed to be the objective function. The stress constraints are introduced. A general case when bending moments about two centroidal axes and the bimoment are acting simultaneously is derived, and then some particular loading cases are considered. A method of solving the optimal relation of the parts of the considered cross-section is described. Applying the Lagrange multiplier method, the equations, whose solutions represent the optimal values of the ratios of the parts of the chosen cross-section, are formed. The obtained results are used for numerical calculation.
%U https://www.sv-jme.eu/article/an-approach-to-the-optimization-of-a-thin-walled-z-beam/
%0 Journal Article
%R 
%& 742
%P 7
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 55
%N 12
%@ 0039-2480
%8 2017-10-24
%7 2017-10-24
Anđelić, Nina, Vesna  Milošević Mitić, & Taško  Maneski.
"An Approach to the Optimization of a Thin-walled Z-beam." Strojniški vestnik - Journal of Mechanical Engineering [Online], 55.12 (2009): 742-748. Web.  04 Dec. 2021
TY  - JOUR
AU  - Anđelić, Nina 
AU  - Milošević Mitić, Vesna 
AU  - Maneski, Taško 
PY  - 2009
TI  - An Approach to the Optimization of a Thin-walled Z-beam
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - optimization; thin-walled beams; optimal dimensions; stress constraints; saved mass; 
N2  - One approach to the optimization of a thin-walled open section Z-beam subjected to bending and to the constrained torsion is considered. For given loads, material and geometrical characteristics the problem is reduced to the determination of minimum mass i.e. minimum cross-sectional area of a structural thin-walled beam of a chosen shape. The area of the cross section is assumed to be the objective function. The stress constraints are introduced. A general case when bending moments about two centroidal axes and the bimoment are acting simultaneously is derived, and then some particular loading cases are considered. A method of solving the optimal relation of the parts of the considered cross-section is described. Applying the Lagrange multiplier method, the equations, whose solutions represent the optimal values of the ratios of the parts of the chosen cross-section, are formed. The obtained results are used for numerical calculation.
UR  - https://www.sv-jme.eu/article/an-approach-to-the-optimization-of-a-thin-walled-z-beam/
@article{{}{.},
	author = {Anđelić, N., Milošević Mitić, V., Maneski, T.},
	title = {An Approach to the Optimization of a Thin-walled Z-beam},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {55},
	number = {12},
	year = {2009},
	doi = {},
	url = {https://www.sv-jme.eu/article/an-approach-to-the-optimization-of-a-thin-walled-z-beam/}
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TY  - JOUR
AU  - Anđelić, Nina 
AU  - Milošević Mitić, Vesna 
AU  - Maneski, Taško 
PY  - 2017/10/24
TI  - An Approach to the Optimization of a Thin-walled Z-beam
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 55, No 12 (2009): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - optimization, thin-walled beams, optimal dimensions, stress constraints, saved mass, 
N2  - One approach to the optimization of a thin-walled open section Z-beam subjected to bending and to the constrained torsion is considered. For given loads, material and geometrical characteristics the problem is reduced to the determination of minimum mass i.e. minimum cross-sectional area of a structural thin-walled beam of a chosen shape. The area of the cross section is assumed to be the objective function. The stress constraints are introduced. A general case when bending moments about two centroidal axes and the bimoment are acting simultaneously is derived, and then some particular loading cases are considered. A method of solving the optimal relation of the parts of the considered cross-section is described. Applying the Lagrange multiplier method, the equations, whose solutions represent the optimal values of the ratios of the parts of the chosen cross-section, are formed. The obtained results are used for numerical calculation.
UR  - https://www.sv-jme.eu/article/an-approach-to-the-optimization-of-a-thin-walled-z-beam/
Anđelić, Nina, Milošević Mitić, Vesna, AND Maneski, Taško.
"An Approach to the Optimization of a Thin-walled Z-beam" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 55 Number 12 (24 October 2017)

Authors

Affiliations

  • University of Belgrade, Faculty of Mechanical Engineering, Serbia
  • University of Belgrade, Faculty of Mechanical Engineering, Serbia
  • University of Belgrade, Faculty of Mechanical Engineering, Serbia

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 55(2009)12, 742-748

One approach to the optimization of a thin-walled open section Z-beam subjected to bending and to the constrained torsion is considered. For given loads, material and geometrical characteristics the problem is reduced to the determination of minimum mass i.e. minimum cross-sectional area of a structural thin-walled beam of a chosen shape. The area of the cross section is assumed to be the objective function. The stress constraints are introduced. A general case when bending moments about two centroidal axes and the bimoment are acting simultaneously is derived, and then some particular loading cases are considered. A method of solving the optimal relation of the parts of the considered cross-section is described. Applying the Lagrange multiplier method, the equations, whose solutions represent the optimal values of the ratios of the parts of the chosen cross-section, are formed. The obtained results are used for numerical calculation.

optimization; thin-walled beams; optimal dimensions; stress constraints; saved mass;