Stability and vibration analysis of axially-loaded shear beam-columns carrying elastically restrained mass

摘要: Abstract Classical shear beams only consider the deflection resulting from sliding of parallel cross-sections, and do not effect rotation cross-sections. Adopting Kausel beam theory where cross-sectional is considered, this article studies stability free vibration axially-loaded using Engesser’s Haringx’s approaches. For attached mass at elastically supported ends, we present a unified analytical approach for obtaining characteristic equation. By setting natural frequencies to be zero in equation, critical buckling load can determined. The frequency equation reduces classical one when cross-sections rotate. mode shapes are given. equations beam-columns with special free/pinned/clamped ends carrying concentrated end obtained present. influences elastic restraint coefficients, axial loads moment inertia on expounded. It found that Engesser superior Haringx theory.