Analysis of stress-strain state of the naturally twisted rod bending by transverse force on the basis of the finite element method. (Russian. English summary) Zbl 1302.74169

Ustinov, Yu. A.; Kurbatova, N. V.; Chumakova, E. S.

Vladikavkaz. Mat. Zh. 15, No. 3, 45-53 (2013).

Summary: Numeric solution based on homogeneous solutions method and numeric integration by finite element method of two-dimension boundary problems, which are described Saint-Venant’s solutions on pure bending and bending by transverse force of the naturally twisted rod with rectangular cross-section was constructed. The analysis of stress-strain state of the rod was realized for different values of parameter \(\tau_0\).

MSC:

74S05	Finite element methods applied to problems in solid mechanics
74K10	Rods (beams, columns, shafts, arches, rings, etc.)

Keywords:

Saint-Venant’s problem; naturally twisted rod; pure bending and bending by transverse force; finite element method