1. bookVolume 25 (2020): Issue 2 (June 2020)
Journal Details
License
Format
Journal
First Published
19 Apr 2013
Publication timeframe
4 times per year
Languages
English
access type Open Access

Using the ERFI Function in the Problem of the Shape Optimization of the Compressed Rod

Published Online: 05 Jun 2020
Page range: 75 - 87
Received: 25 Jan 2020
Journal Details
License
Format
Journal
First Published
19 Apr 2013
Publication timeframe
4 times per year
Languages
English

The shape of the optimal rod determined in the work meets the condition of mass conservation in relation to the reference rod. At the same time, this rod shows a significant increase in resistance to axial force. In the examples presented, this increase was 80% and 117%, respectively, for rods with slenderness of 125 and 175. A practical benefit from the use of compression rods of the proposed shapes is clearly visible.

Keywords

[1] Miś B. (2008): Secret e number and other secrets of mathematics.– Scientific and Technical Publishing House, Warsaw.Search in Google Scholar

[2] Thompson P., Papadopoulou G. and Vassiliou E. (2007): The origins of entasis: illusion, aesthetics or engineering? –Spatial Vision, vol.20, No.6, pp.531-543.Search in Google Scholar

[3] Marcinowski J. and Sadowski M. (2016): Buckling capacity of non-prismatic rods with polygonal cross-sections.– In: Sustainable Construction, the University Publishing House of the University of Technology and Life Sciences in Bydgoszcz, Bydgoszcz.Search in Google Scholar

[4] Krzyś W. (1968): Optimale formen gedrückter dünnwandiger stützen in elastisch-plastischen bereich. – Wiss. Z. Tech., Univ. Dresden, vol.17, No.2, pp.407-410.Search in Google Scholar

[5] Gajewski A. and Życzkowski M. (1998): Optimal structural design under stability constraints.– Kluwer Academic Publishers, Dordrecht, Boston, London.Search in Google Scholar

[6] Bochenek B. and Krużelecki J. (2007): Optimization of construction stability. Contemporary problems.– Cracow University of Technology Publisher, Cracow.Search in Google Scholar

[7] Marcinowski J. and Sadowski M. (2015): Shape optimization of non-prismatic rods of circular hollow cross-sections and of variable wall thickness.–In: Proceedings of the stability of structures: XV-th symposium. Zakopane, Poland, 2018. Łódź: Department of Strength of Materials and Structures of the Lodz University of Technology, pp.99-100.Search in Google Scholar

[8] Gliński H., Grzymkowski R., Kapusta A. and Słota D. (2012): Mathematica 8. – Publishing House of the Jacek Skalmierski Computer Laboratory, Gliwice.Search in Google Scholar

[9] Opara K. (2014): Analysis of the differential evolution algorithm and its application in the determination of statistical dependencies.– Abstract of the Doctoral Thesis.Search in Google Scholar

[10] Bobrowski C. (1995): Physics – Short Course.– Warsaw: Scientific and Technical Publishing House.Search in Google Scholar

[11] Stasiak J. and Walden H. (1971): Mechanics of liquids and gases in sanitary engineering. – Arkady Publishing House, Warsaw.Search in Google Scholar

[12] Rykaluk K. (2012): Problems of stability of metal structures. – Lower Silesian Educational Publishing House, Wrocław.Search in Google Scholar

Recommended articles from Trend MD

Plan your remote conference with Sciendo