Home Wybrane publikacje Michell structures formed on surfaces of revolution
Michell structures formed on surfaces of revolution PDF Drukuj Email
tl-2004-mMichell structures formed on surfaces of revolution, T. Lewiński,
Structural and Multidisciplinary Optimization 28, 20–30 (2004)
Read online >>
The paper formulates the Michell-like problems for surface gridworks. Particular attention is devoted to the problem of designing the lightest fully stressed gridworks formed on surfaces of revolution. In the examples considered, the gridworks are subjected to torsion. Proof is given that the circular meridian is a minimizer of the weight (or volume) functional of a shell subjected to torsion, thus justifying the original Michell conjecture according to which just the spherical twisting shell is the lightest. The proof is based on the methods of the classical variational calculus and thus can be viewed as elementary. This result is confirmed by a direct comparison of the exact formulae for the weight of a spherical Michell shell with the exact formulae for the weights of optimal conical and cylindrical shells with the same fixed boundaries.
 

Seminaria

No current events.

<<  Styczeń 2022  >>
 Po  Wt  Śr  Cz  Pi  So  Ni 
       1  2
  3  4  5  6  7  8  9
10111213141516
17181920212223
24252627282930
31      

Konferencje

No current events.

Książki

okladka-ds.png

Z galerii Katedry

Home Wybrane publikacje Michell structures formed on surfaces of revolution
Naszą witrynę przegląda teraz 214 gości 

Statystyki

Odsłon : 2636878