Optimization of Trapezoidal Cross Section of the Truck Crane Boom by Lagrange’s Multipliers and by Differential Evolution Algorithm (DE)

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GAŠIĆ, Milomir M.;SAVKOVIĆ, Mile M.;BULATOVIĆ, Radovan R..
Optimization of Trapezoidal Cross Section of the Truck Crane Boom by Lagrange’s Multipliers and by Differential Evolution Algorithm (DE). 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 57, n.4, p. 304-312, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/optimization-of-trapezoidal-cross-section-of-the-truck-crane-boom-by-lagranges-multipliers-and-by-differential-evolution-algorithm-de/>. Date accessed: 11 apr. 2021. 
doi:http://dx.doi.org/10.5545/sv-jme.2008.029.
Gašić, M., Savković, M., & Bulatović, R.
(2011).
Optimization of Trapezoidal Cross Section of the Truck Crane Boom by Lagrange’s Multipliers and by Differential Evolution Algorithm (DE).
Strojniški vestnik - Journal of Mechanical Engineering, 57(4), 304-312.
doi:http://dx.doi.org/10.5545/sv-jme.2008.029
@article{sv-jmesv-jme.2008.029,
	author = {Milomir M. Gašić and Mile M. Savković and Radovan R. Bulatović},
	title = {Optimization of Trapezoidal Cross Section of the Truck Crane Boom by Lagrange’s Multipliers and by Differential Evolution Algorithm (DE)},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {57},
	number = {4},
	year = {2011},
	keywords = {trapezoidal cross section; truck crane; boom; Lagrange’s multipliers; differential evolution algorithm},
	abstract = {The cross sections of truck crane booms are complex box-like cross sections, which should provide continuous stress allocation. It is difficult to analytically determine optimal relations among geometric parameters of such cross sections. The paper deals with the method for determining relations among geometric parameters in order to achieve the optimal shape of the cross section. The method is based on Lagrange’s multipliers used for determination of extreme values. The optimisation of geometric parameters has also been done with the method of differential evolution (DE). The optimisation of the cross section is based on the strength criterion. The results of the applied methods have been verified by means of numerical example for an existing solution. The comparative analysis of the results of both methods has also been done.},
	issn = {0039-2480},	pages = {304-312},	doi = {10.5545/sv-jme.2008.029},
	url = {https://www.sv-jme.eu/article/optimization-of-trapezoidal-cross-section-of-the-truck-crane-boom-by-lagranges-multipliers-and-by-differential-evolution-algorithm-de/}
}
Gašić, M.,Savković, M.,Bulatović, R.
2011 June 57. Optimization of Trapezoidal Cross Section of the Truck Crane Boom by Lagrange’s Multipliers and by Differential Evolution Algorithm (DE). Strojniški vestnik - Journal of Mechanical Engineering. [Online] 57:4
%A Gašić, Milomir M.
%A Savković, Mile M.
%A Bulatović, Radovan R.
%D 2011
%T Optimization of Trapezoidal Cross Section of the Truck Crane Boom by Lagrange’s Multipliers and by Differential Evolution Algorithm (DE)
%B 2011
%9 trapezoidal cross section; truck crane; boom; Lagrange’s multipliers; differential evolution algorithm
%! Optimization of Trapezoidal Cross Section of the Truck Crane Boom by Lagrange’s Multipliers and by Differential Evolution Algorithm (DE)
%K trapezoidal cross section; truck crane; boom; Lagrange’s multipliers; differential evolution algorithm
%X The cross sections of truck crane booms are complex box-like cross sections, which should provide continuous stress allocation. It is difficult to analytically determine optimal relations among geometric parameters of such cross sections. The paper deals with the method for determining relations among geometric parameters in order to achieve the optimal shape of the cross section. The method is based on Lagrange’s multipliers used for determination of extreme values. The optimisation of geometric parameters has also been done with the method of differential evolution (DE). The optimisation of the cross section is based on the strength criterion. The results of the applied methods have been verified by means of numerical example for an existing solution. The comparative analysis of the results of both methods has also been done.
%U https://www.sv-jme.eu/article/optimization-of-trapezoidal-cross-section-of-the-truck-crane-boom-by-lagranges-multipliers-and-by-differential-evolution-algorithm-de/
%0 Journal Article
%R 10.5545/sv-jme.2008.029
%& 304
%P 9
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 57
%N 4
%@ 0039-2480
%8 2018-06-28
%7 2018-06-28
Gašić, Milomir, Mile M. Savković, & Radovan R. Bulatović.
"Optimization of Trapezoidal Cross Section of the Truck Crane Boom by Lagrange’s Multipliers and by Differential Evolution Algorithm (DE)." Strojniški vestnik - Journal of Mechanical Engineering [Online], 57.4 (2011): 304-312. Web.  11 Apr. 2021
TY  - JOUR
AU  - Gašić, Milomir M.
AU  - Savković, Mile M.
AU  - Bulatović, Radovan R.
PY  - 2011
TI  - Optimization of Trapezoidal Cross Section of the Truck Crane Boom by Lagrange’s Multipliers and by Differential Evolution Algorithm (DE)
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2008.029
KW  - trapezoidal cross section; truck crane; boom; Lagrange’s multipliers; differential evolution algorithm
N2  - The cross sections of truck crane booms are complex box-like cross sections, which should provide continuous stress allocation. It is difficult to analytically determine optimal relations among geometric parameters of such cross sections. The paper deals with the method for determining relations among geometric parameters in order to achieve the optimal shape of the cross section. The method is based on Lagrange’s multipliers used for determination of extreme values. The optimisation of geometric parameters has also been done with the method of differential evolution (DE). The optimisation of the cross section is based on the strength criterion. The results of the applied methods have been verified by means of numerical example for an existing solution. The comparative analysis of the results of both methods has also been done.
UR  - https://www.sv-jme.eu/article/optimization-of-trapezoidal-cross-section-of-the-truck-crane-boom-by-lagranges-multipliers-and-by-differential-evolution-algorithm-de/
@article{{sv-jme}{sv-jme.2008.029},
	author = {Gašić, M., Savković, M., Bulatović, R.},
	title = {Optimization of Trapezoidal Cross Section of the Truck Crane Boom by Lagrange’s Multipliers and by Differential Evolution Algorithm (DE)},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {57},
	number = {4},
	year = {2011},
	doi = {10.5545/sv-jme.2008.029},
	url = {https://www.sv-jme.eu/article/optimization-of-trapezoidal-cross-section-of-the-truck-crane-boom-by-lagranges-multipliers-and-by-differential-evolution-algorithm-de/}
}
TY  - JOUR
AU  - Gašić, Milomir M.
AU  - Savković, Mile M.
AU  - Bulatović, Radovan R.
PY  - 2018/06/28
TI  - Optimization of Trapezoidal Cross Section of the Truck Crane Boom by Lagrange’s Multipliers and by Differential Evolution Algorithm (DE)
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 57, No 4 (2011): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2008.029
KW  - trapezoidal cross section, truck crane, boom, Lagrange’s multipliers, differential evolution algorithm
N2  - The cross sections of truck crane booms are complex box-like cross sections, which should provide continuous stress allocation. It is difficult to analytically determine optimal relations among geometric parameters of such cross sections. The paper deals with the method for determining relations among geometric parameters in order to achieve the optimal shape of the cross section. The method is based on Lagrange’s multipliers used for determination of extreme values. The optimisation of geometric parameters has also been done with the method of differential evolution (DE). The optimisation of the cross section is based on the strength criterion. The results of the applied methods have been verified by means of numerical example for an existing solution. The comparative analysis of the results of both methods has also been done.
UR  - https://www.sv-jme.eu/article/optimization-of-trapezoidal-cross-section-of-the-truck-crane-boom-by-lagranges-multipliers-and-by-differential-evolution-algorithm-de/
Gašić, Milomir, Savković, Mile, AND Bulatović, Radovan.
"Optimization of Trapezoidal Cross Section of the Truck Crane Boom by Lagrange’s Multipliers and by Differential Evolution Algorithm (DE)" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 57 Number 4 (28 June 2018)

Authors

Affiliations

  • University of Kragujevac, Faculty of Mechanical Engineering Kraljevo, 304 Dositejeva 19, 36000 Kraljevo 1

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 57(2011)4, 304-312

https://doi.org/10.5545/sv-jme.2008.029

The cross sections of truck crane booms are complex box-like cross sections, which should provide continuous stress allocation. It is difficult to analytically determine optimal relations among geometric parameters of such cross sections. The paper deals with the method for determining relations among geometric parameters in order to achieve the optimal shape of the cross section. The method is based on Lagrange’s multipliers used for determination of extreme values. The optimisation of geometric parameters has also been done with the method of differential evolution (DE). The optimisation of the cross section is based on the strength criterion. The results of the applied methods have been verified by means of numerical example for an existing solution. The comparative analysis of the results of both methods has also been done.

trapezoidal cross section; truck crane; boom; Lagrange’s multipliers; differential evolution algorithm