Publication detail

Calculation of bending stiffness and its first derivatives related to optimization of a steel-reinforced concrete cross section

VENCLOVSKÝ, J. ŠTĚPÁNEK, P.

Original Title

Calculation of bending stiffness and its first derivatives related to optimization of a steel-reinforced concrete cross section

English Title

Calculation of bending stiffness and its first derivatives related to optimization of a steel-reinforced concrete cross section

Type

conference paper

Language

en

Original Abstract

This article focuses on creating an algorithm for the calculation of bending stiffness of an arbitrary polygonal cross section, including the first derivatives of this stiffness with respect to all the input variables. The coordinates of vertices of the cross section are also among these input variables. The algorithm is in principle based on dividing the cross section into trapezoids, calculating zero, first and second moment of area of these trapezoids, including partial derivatives with respect to all the input variables, and then compiling all these partial results into a final output. A DLL library based on this algorithm is then used in an optimization solver based on a reduced‑gradient method. This solver is put into practice to optimize the given cross section characteristics according to prescribed criteria.

English abstract

This article focuses on creating an algorithm for the calculation of bending stiffness of an arbitrary polygonal cross section, including the first derivatives of this stiffness with respect to all the input variables. The coordinates of vertices of the cross section are also among these input variables. The algorithm is in principle based on dividing the cross section into trapezoids, calculating zero, first and second moment of area of these trapezoids, including partial derivatives with respect to all the input variables, and then compiling all these partial results into a final output. A DLL library based on this algorithm is then used in an optimization solver based on a reduced‑gradient method. This solver is put into practice to optimize the given cross section characteristics according to prescribed criteria.

Keywords

bending stiffness, moments of polygonal area, optimization

Released

25.04.2016

Publisher

Trans Tech Publications

Location

Switzerland

Pages from

253

Pages to

260

Pages count

8

URL

BibTex


@inproceedings{BUT126584,
  author="Jakub {Venclovský} and Petr {Štěpánek}",
  title="Calculation of bending stiffness and its first derivatives related to optimization of a steel-reinforced concrete cross section",
  annote="This article focuses on creating an algorithm for the calculation of bending stiffness of an arbitrary polygonal cross section, including the first derivatives of this stiffness with respect to all the input variables. The coordinates of vertices of the cross section are also among these input variables. The algorithm is in principle based on dividing the cross section into trapezoids, calculating zero, first and second moment of area of these trapezoids, including partial derivatives with respect to all the input variables, and then compiling all these partial results into a final output. A DLL library based on this algorithm is then used in an optimization solver based on a reduced‑gradient method. This solver is put into practice to optimize the given cross section characteristics according to prescribed criteria.",
  address="Trans Tech Publications",
  booktitle="Proceedings from 22nd Czech Concrete Day 2015",
  chapter="126584",
  doi="10.4028/www.scientific.net/SSP.249.253",
  howpublished="online",
  institution="Trans Tech Publications",
  number="1",
  year="2016",
  month="april",
  pages="253--260",
  publisher="Trans Tech Publications",
  type="conference paper"
}