Lateral-torsional buckling of tapered thin-walled beams with arbitrary cross-sections

Analysis of the free vibration of a thin-walled nonprismatic beam

“…Soltani i in. [1], [2], Ambrosini i in. [3], Sung-Bo Kim, Moon-Young Kim [4] oraz Liviu Librescu, Sungsoo Na [5].…”

“…[3], Sung-Bo Kim, Moon-Young Kim [4] oraz Liviu Librescu, Sungsoo Na [5]. W pracy [1] autorzy rozwiązali zagadnienia stateczności, a w [2] stateczności i drgań swobodnych belek cienkościennych o zmiennych przedziałami, liniowo, wysokościach. Do rozwiązania wykorzystali klasyczne szeregi potęgowe.…”

A large torsion beam finite element model for tapered thin-walled open cross sections beams

“…In ( (29) and (32), and according to vector definitions (33a-f), (34), one gets the following matrix formulation of the equilibrium (24):…”

“…Functions with high degree of non-linearity on the axial beam variable were adopted in discretization [28][29][30][31]. More recently, Asgarian [32] and Soltani [33] adopted successfully the power series method as solution approach in the stability and vibration of tapered beams with arbitrary cross sections and boundary conditions. The results are close to finite shell elements.…”

Refined spatial beam-column element for second-order analysis of lattice shell structure

“…Mohri et al [18] developed a non-linear model that is performed in large torsion context according to a new kinematics that accounts for large torsion, flexural-torsional coupling and the presence of tapering terms in bending and torsion. Asgarian B et al [19] investigated a numerical model based on the power series method for the lateral buckling stability of tapered thin-walled beams with arbitrary crosssections and boundary conditions. Dourakopoulos et al [20] developed a model for beams of arbitrary cross section considering the postbuckling effect and the moderate large displacements, large angles of twist and adopting second order approximations for the deflectioncurvature relations.…”