Solution of the Three Forces Problem in a Case of Two Forces Being Mutually Orthogonal
PBN-AR
Instytucja
Wydział Inżynierii Lądowej (Politechnika Warszawska)
Informacje podstawowe
Główny język publikacji
en
Czasopismo
Engineering Transactions (Rozprawy inżynierskie)
ISSN
0867-888X
EISSN
Wydawca
DOI
URL
Rok publikacji
2016
Numer zeszytu
4
Strony od-do
485-491
Numer tomu
64
Identyfikator DOI
Liczba arkuszy
0.5
Autorzy
(liczba autorów: 2)
Słowa kluczowe
en
topology optimization; Michell trusses; three forces problem
Streszczenia
Język
en
Treść
The present paper delivers some new numerical and exact solutions of the three forces problem which is one of fundamental problems of Michell’s truss theory. The problem is to find the lightest fully stressed truss transmitting three self-equilibrated co-planar forces. In this study we limit our considerations to the case of two forces being mutually orthogonal. The aim of the paper is to classify possible layouts of optimal trusses depending on the position of the applied lateral point load (the positions of the other two forces are fixed, which, however, does not restrict the scope of the study). The exact analytical solutions are obtained with a great help of numerical solutions which enable proper prediction of the optimal layouts
Inne
System-identifier
WUT8d287964253f47eeb6e42610db48f18e