A mechanical model for predicting the elastic response of beamswith annular cross-section under generic load conditions is discussed. The kinematical assumptions deal with a uniform in-plane infinitesimal rotation coupled with warping axial displacements. In addition to the body force field, generic external loads can be applied both at the ends of the beam and on its lateral surface as afunction of all spatial variables. It is possible to account, as an examples, for different force fields on the inner and outer lateral boundary. Shear warping dependent deformations are simulated. The effect of thickness, usually neglected in classical thin-walled beam theory, is now considered, thus allowing the accuratestudy of beams with a moderately high thickness. A novel approach for deriving energy consistent shear correction factors is proposed.
ELASTIC BEAMS WITH ANNULAR CROSS-SECTION
Geminiano Mancusi
2024
Abstract
A mechanical model for predicting the elastic response of beamswith annular cross-section under generic load conditions is discussed. The kinematical assumptions deal with a uniform in-plane infinitesimal rotation coupled with warping axial displacements. In addition to the body force field, generic external loads can be applied both at the ends of the beam and on its lateral surface as afunction of all spatial variables. It is possible to account, as an examples, for different force fields on the inner and outer lateral boundary. Shear warping dependent deformations are simulated. The effect of thickness, usually neglected in classical thin-walled beam theory, is now considered, thus allowing the accuratestudy of beams with a moderately high thickness. A novel approach for deriving energy consistent shear correction factors is proposed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.