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. [5] Tromme E. , Tortorelli D. , Brüls O. , Duysinx P. Structural optimization of multibody system components described using level set techniques

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. Efficient algorithms for optimization of objects and systems , Pollack Periodica , Vol. 9 , No. 1 , 2014 , pp. 121 ‒ 132 . 10.1556/Pollack.9.2014.1.13 [8] Hazim N ., Jármai K . Kinematic-based structural optimization of robots , Pollack Periodica

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Haftka, R. T., Gürdal, Z., Kamat, M. P. (1990): Elements of Structural Optimization . Second Revised Edition. Kirsch, U. (1981): Optimum structural design . McGraw-Hill Book Company

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Abstract

Stability is one of the most critical problems in the design of welded metal structures, since in many cases instability causes failure or collapse of the structures. The present study aims to show the minimum mass design procedure for welded steel box columns loaded by a compression force. The normal stresses and overall stability are calculated for pinned columns. The dimensions of the box columns are optimized by using constraints on global stability, local buckling of webs and flanges. Different design rules and standards are compared: Eurocode 3, Japan Railroad Association, American Petroleum Institute, and American Institute of Steel Construction. The calculations are made for different loadings, column length and steel grades. The yield stress varies between 235 and 690 MPa. Optimization is carried out using the generalized reduced gradient method in Excel solver. Cost calculations and comparisons show the most economical structure.

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Optimization Method Modelled on Biological Structures . Benchmark . pp . 22 – 26 . [4]. Haftka , R.T. , Kamat , M.P. ( 1985 ). Elements of Structural Optimization . Martinus Nijhoff

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the Institute of Mechanical Engineers, Vol. 207 Part F: Journal of Rail and Rapid Transit, 1993, pp. 1–16. Lust R. V. Structural optimization with crashworthiness constraints, Struct. Optim. Vol. 4, 1992, pp

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Applications of the Theory of Optimal Control of Distributed-Parameter Systems to Structural Optimization Mir Moscow (in Russian). [3] Egorov , A. I

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., Bargmann, S., Kuhl, E., Steinmann, P.: Structural optimization by simultaneous equilibrium of spatial and material forces. Communications in Numerical Methods in Engineering Vol. 21 (2005) 8. 433–442. [3] Denzer, R

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Sigmund O., Peterson J. Numerical instabilities in topology optimization, A survey on procedures dealing with checkerboards, mesh-dependences and local minima, Structural Optimization , Vol. 16, 1998, pp. 68

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Bletzinger, K. U., Ramm, E. (2001): Structural optimization and form finding of light weight structures. Computers and Structures 79, 2053-2062. Structural optimization and form finding of light weight structures

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