Nonlocal continuum mechanics allows one to account for the small length scale effect that becomes significant when dealing with micro-or nanostructures.This paper deals with the lateral-torsional buckling of elastic n...Nonlocal continuum mechanics allows one to account for the small length scale effect that becomes significant when dealing with micro-or nanostructures.This paper deals with the lateral-torsional buckling of elastic nonlocal small-scale beams.Eringen’s model is chosen for the nonlocal constitutive bendingcurvature relationship.The effect of prebuckling deformation is taken into consideration on the basis of the Kirchhoff-Clebsch theory.It is shown that the application of Eringen’s model produces small-length scale terms in the nonlocal elastic lateraltorsional buckling moment of a hinged-hinged strip beam.Clearly,the non-local parameter has the effect of reducing the critical lateral-torsional buckling moment.This tendency is consistent with the one observed for the in-plane stability analysis,for the lateral buckling of a hinged-hinged axially loaded column.The lateral buckling solution can be derived from a physically motivated variational principle.展开更多
文摘Nonlocal continuum mechanics allows one to account for the small length scale effect that becomes significant when dealing with micro-or nanostructures.This paper deals with the lateral-torsional buckling of elastic nonlocal small-scale beams.Eringen’s model is chosen for the nonlocal constitutive bendingcurvature relationship.The effect of prebuckling deformation is taken into consideration on the basis of the Kirchhoff-Clebsch theory.It is shown that the application of Eringen’s model produces small-length scale terms in the nonlocal elastic lateraltorsional buckling moment of a hinged-hinged strip beam.Clearly,the non-local parameter has the effect of reducing the critical lateral-torsional buckling moment.This tendency is consistent with the one observed for the in-plane stability analysis,for the lateral buckling of a hinged-hinged axially loaded column.The lateral buckling solution can be derived from a physically motivated variational principle.
