Optimizing the Geometry for the Buckling of a Bar

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Izvoz citacije: ABNT
DRAŽUMERIČ, Radoan ;KOSEL, Franc .
Optimizing the Geometry for the Buckling of a Bar. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 49, n.7-8, p. 385-397, july 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/sl/article/optimizing-the-geometry-for-the-buckling-of-a-bar/>. Date accessed: 05 apr. 2020. 
doi:http://dx.doi.org/.
Dražumerič, R., & Kosel, F.
(2003).
Optimizing the Geometry for the Buckling of a Bar.
Strojniški vestnik - Journal of Mechanical Engineering, 49(7-8), 385-397.
doi:http://dx.doi.org/
@article{.,
	author = {Radoan  Dražumerič and Franc  Kosel},
	title = {Optimizing the Geometry for the Buckling of a Bar},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {49},
	number = {7-8},
	year = {2003},
	keywords = {design; beams; buckling; optimal shape design; },
	abstract = {Using the small-displacement theory (a theory of the second order, according to Chwalla [2]), the buckling process for a slender, elastic bar with a changeable cross-sectional area is considered and represented with a corresponding boundary problem. Based on a mathematical model of buckling, which considers the geometric and boundary conditions, an optimum geometry is obtained using the calculus of variation. By comparing the properties of a bar with optimum geometry to those of a reference bar with a constant cross-section, the paper shows that the presented optimization method is generally applicable. The main feature of a bar with optimum geometry is a constant maximum bending stress along the whole length of the bar in its deflected form, which means that in terms of stability the material is completely exploited.},
	issn = {0039-2480},	pages = {385-397},	doi = {},
	url = {https://www.sv-jme.eu/sl/article/optimizing-the-geometry-for-the-buckling-of-a-bar/}
}
Dražumerič, R.,Kosel, F.
2003 July 49. Optimizing the Geometry for the Buckling of a Bar. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 49:7-8
%A Dražumerič, Radoan 
%A Kosel, Franc 
%D 2003
%T Optimizing the Geometry for the Buckling of a Bar
%B 2003
%9 design; beams; buckling; optimal shape design; 
%! Optimizing the Geometry for the Buckling of a Bar
%K design; beams; buckling; optimal shape design; 
%X Using the small-displacement theory (a theory of the second order, according to Chwalla [2]), the buckling process for a slender, elastic bar with a changeable cross-sectional area is considered and represented with a corresponding boundary problem. Based on a mathematical model of buckling, which considers the geometric and boundary conditions, an optimum geometry is obtained using the calculus of variation. By comparing the properties of a bar with optimum geometry to those of a reference bar with a constant cross-section, the paper shows that the presented optimization method is generally applicable. The main feature of a bar with optimum geometry is a constant maximum bending stress along the whole length of the bar in its deflected form, which means that in terms of stability the material is completely exploited.
%U https://www.sv-jme.eu/sl/article/optimizing-the-geometry-for-the-buckling-of-a-bar/
%0 Journal Article
%R 
%& 385
%P 13
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 49
%N 7-8
%@ 0039-2480
%8 2017-07-07
%7 2017-07-07
Dražumerič, Radoan, & Franc  Kosel.
"Optimizing the Geometry for the Buckling of a Bar." Strojniški vestnik - Journal of Mechanical Engineering [Online], 49.7-8 (2003): 385-397. Web.  05 Apr. 2020
TY  - JOUR
AU  - Dražumerič, Radoan 
AU  - Kosel, Franc 
PY  - 2003
TI  - Optimizing the Geometry for the Buckling of a Bar
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - design; beams; buckling; optimal shape design; 
N2  - Using the small-displacement theory (a theory of the second order, according to Chwalla [2]), the buckling process for a slender, elastic bar with a changeable cross-sectional area is considered and represented with a corresponding boundary problem. Based on a mathematical model of buckling, which considers the geometric and boundary conditions, an optimum geometry is obtained using the calculus of variation. By comparing the properties of a bar with optimum geometry to those of a reference bar with a constant cross-section, the paper shows that the presented optimization method is generally applicable. The main feature of a bar with optimum geometry is a constant maximum bending stress along the whole length of the bar in its deflected form, which means that in terms of stability the material is completely exploited.
UR  - https://www.sv-jme.eu/sl/article/optimizing-the-geometry-for-the-buckling-of-a-bar/
@article{{}{.},
	author = {Dražumerič, R., Kosel, F.},
	title = {Optimizing the Geometry for the Buckling of a Bar},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {49},
	number = {7-8},
	year = {2003},
	doi = {},
	url = {https://www.sv-jme.eu/sl/article/optimizing-the-geometry-for-the-buckling-of-a-bar/}
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TY  - JOUR
AU  - Dražumerič, Radoan 
AU  - Kosel, Franc 
PY  - 2017/07/07
TI  - Optimizing the Geometry for the Buckling of a Bar
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 49, No 7-8 (2003): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - design, beams, buckling, optimal shape design, 
N2  - Using the small-displacement theory (a theory of the second order, according to Chwalla [2]), the buckling process for a slender, elastic bar with a changeable cross-sectional area is considered and represented with a corresponding boundary problem. Based on a mathematical model of buckling, which considers the geometric and boundary conditions, an optimum geometry is obtained using the calculus of variation. By comparing the properties of a bar with optimum geometry to those of a reference bar with a constant cross-section, the paper shows that the presented optimization method is generally applicable. The main feature of a bar with optimum geometry is a constant maximum bending stress along the whole length of the bar in its deflected form, which means that in terms of stability the material is completely exploited.
UR  - https://www.sv-jme.eu/sl/article/optimizing-the-geometry-for-the-buckling-of-a-bar/
Dražumerič, Radoan, AND Kosel, Franc.
"Optimizing the Geometry for the Buckling of a Bar" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 49 Number 7-8 (07 July 2017)

Avtorji

Inštitucije

  • University of Ljubljana, Faculty of Mechanical Engineering, Slovenia
  • University of Ljubljana, Faculty of Mechanical Engineering, Slovenia

Informacije o papirju

Strojniški vestnik - Journal of Mechanical Engineering 49(2003)7-8, 385-397

Using the small-displacement theory (a theory of the second order, according to Chwalla [2]), the buckling process for a slender, elastic bar with a changeable cross-sectional area is considered and represented with a corresponding boundary problem. Based on a mathematical model of buckling, which considers the geometric and boundary conditions, an optimum geometry is obtained using the calculus of variation. By comparing the properties of a bar with optimum geometry to those of a reference bar with a constant cross-section, the paper shows that the presented optimization method is generally applicable. The main feature of a bar with optimum geometry is a constant maximum bending stress along the whole length of the bar in its deflected form, which means that in terms of stability the material is completely exploited.

design; beams; buckling; optimal shape design;