Optimal modelling of steel multi-span beams using the gradient-iterative method

• Autorzy: Mikulski Leszek

Identyfikatory

DOI

10.2478/ceer-2019-0048

• Języki publikacji: EN

Abstrakty

EN

The article describes the gradient-iterative optimization method and outlines the method’s basic assumptions and illustrates its general use. The method’s implementation was illustrated based on a steel I-beam. The described calculation example concerns the optimization of the height of the web of a multi-span beam. The method enables finding an optimal solution with the use of simple and commonly available software. To illustrate the effectiveness of the optimization method, multiple calculations were performed for beams with various spans and various load conditions.

Słowa kluczowe

EN

multi-span beam; structure optimization; gradient-iterative method; modern construction elements

PL

belki wielkoprzęsłowe; optymalizacja konstrukcji; metoda iteracyjna; nowoczesne elementy konstrukcyjne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: Civil and Environmental Engineering Reports
• Rocznik: 2019
• Tom: Vol. 29, no. 4
• Strony: 112--127
• Opis fizyczny: Bibliogr. 12 poz., rys., wykr.

Twórcy

autor

Mikulski Leszek

• Cracow University of Technology, Kraków, Poland

Bibliografia

• 1. Jasińska, D and Kropiowska, D 2018. The optimal design of an arch girder of variable curvature and stiffness by means of control theory. Hindawi, Mathematical Problems in Engineering, https://doi.org/10.1155/2018/8239464.
• 2. Kropiowska, D and Mikulski, L and Szeptyński, P 2018. Optimal design of a Kirchhoff plate of variable thickness by application of the minimum principle. Structural and Multidisciplinary Optimization, https://doi.org/10.07/s00158-018-2148-3.
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• 4. Mikulski, L. and Laskowski, H. 2009. Control theory in composite structure optimizing. Measurement Automation Monitoring 6, 346-351.
• 5. Mikulski, L 2004. Control structure in optimization problems of bar systems. International Journal of Applied Mathematics and Computer Science 14, 515-529.
• 6. Pesch, HJ 1994. A practical guide to the solution of real-life optimal control problems. Control and Cybernetics 23, 7-60.
• 7. Sobczyk, Sz and Mikulski, L 2016. A method of optimum selection of post tensioned concrete beam prestressing by example of a symmetrical three-span beam. Measurement Automation Monitoring 62, 139-145.
• 8. Sobczyk, Sz and Mikulski 2014. A different way of finding optimal solution for steel portal frame. Measurement Automation Monitoring 60, 1060-1064.
• 9. EN 1990 – Basis of structural design.
• 10. EN 1991-1-1 – Actions on structures. General actions – Densities, self weight, imposed loads for buldings.
• 11. EN 1993-1-1 – Design of steel structures. General structural rules.
• 12. EN 1993-1-5 – Design of steel structures. Plated structural elements.