Boštjan Harl (Author), Marko Kegl (Author)

Abstract

Prispevek predstavlja postopek pri optimalnem projektiranju statično obremenjenih prostorskih paličnih konstrukcij. Oblika in vpetje konstrukcije, kakor tudi prerezi posameznih paličnih elementov, so odvisni od spremenljivih parametrov - projektnih spremenljivk. Spremenljivo obliko in vpetje konstrukcije smo dosegli s tehniko projektnih elementov in uporabo ustreznega projektnega elementa - Bézierjevega telesa. Spremenljive lastnosti prerezov paličnih elementov so obravnavane na običajen način. Kot končni element je uporabljen kinematično nelinearen palični element. Optimizacijsko nalogo smo oblikovali v obliki standardnega problema matematiènega programiranja. Ker so projektne spremenljivke zvezne, smo rešitve optimizacijske naloge iskali z uporabo gradientne optimizacijske metode. Za ponazoritev omenjene teorije sta podrobno predstavljena in rešena optimizacijska problema prostorske palične konstrukcije.

Keywords

konstruiranje;konstrukcije palične;optimiranje;optimiranje oblike;palične konstrukcije;parameterizacija;programiranje matematično

Data

Language: Slovenian
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UM FS - Faculty of Mechanical Engineering
Publisher: Association of Mechanical Engineers and Technicians of Slovenia et al.
UDC: 624.074.5:519.85
COBISS: 8511771 Link will open in a new window
ISSN: 0039-2480
Parent publication: Strojniški vestnik
Views: 436
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Other data

Secondary language: English
Secondary title: Efficient shape optimization of space trusses
Secondary abstract: This paper describes an approach to the optimization of statically loaded space trusses. The cross-sectional properties of individual elements, the shape of the whole structure as well as the support locations depend on the design variables. The variable structural shape and the support locations are addressed by employing the design-element technique and an appropriate design element - the Bézier body. The variable cross-sectional properties of the individual truss elements are handled in the usual way. Kinematically nonlinear truss elements are employed as the finite elements. The optimization problem is defined in the form of a general nonlinear problem of mathematical programming. Since the design variables are all assumed to be continuous, a gradient-based optimization procedure is proposed. Two numerical examples of space-truss optimization are presented in detail to illustrate the use of the proposed approach.
Secondary keywords: space trusses;shape optimization;mathematical programming;parameterization;konstrukcije palične;optimiranje oblike;programiranje matematično;parameterizacija;
URN: URN:NBN:SI
Type (COBISS): Not categorized
Pages: str. 570-588
Volume: ǂLetn. ǂ51
Issue: ǂšt. ǂ9
Chronology: 2005
ID: 1742924