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/article/optimizing-the-geometry-for-the-buckling-of-a-bar/>. Date accessed: 20 dec. 2024. 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/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/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. 20 Dec. 2024
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/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/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/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)
Strojniški vestnik - Journal of Mechanical Engineering 49(2003)7-8, 385-397
© The Authors, CC-BY 4.0 Int. Change in copyright policy from 2022, Jan 1st.
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.