Buckling and Vibration Analysis of Timoshenko Beam-Column on Two-Parameter Elastic FoudationBuckling and Vibration Analysis of Timoshenko Beam-Column on Two-Parameter Elastic Foundation
Abstract:
This thesis presents a finite-element technique for determining the buckling loads and natural frequencies of Timoshenko beam- column on two-parameter elastic foundation by using the exact element stiffness and consistent mass matrix based on exact shape function of Timoshenko beam element. In the analvsis a beam-column with uniform cross-section is considered, the displacement is assumed to be small and the material is linearly elastic. The shear component of the axial load is assumed to act perpendicular to the tangent line of the total slope, which consists of the bending and shear slopes. This technique is used to investigate the buckling loads and natural frequencies for various values of Winkler foundation modulus, and shear foundation modulus based on Filonenko-Borodich. Numerical results for the buckling loads and natural frequencies of hinged-hinged beam-column are compared with the exact solution, they are in good agreement. Results for the beam-column with various boundary conditions are presented.