Abstract:
Free and forced vibration analysis of straight and curved beams on elastic foundation are investigated in Laplace domain. The Timoshenko beam theory is adopted in the derivation of the governing equation. The curvature of the rod axis, effect of rotary inertia and, shear and axial deformations are considered in the formulation. Ordinary differential equations in scalar form obtained in the Laplace domain are solved numerically using the complementary functions method to calculate the dynamic stiffness matrix of the problem. The solutions obtained are transformed to the real space using the Durbin's numerical inverse Laplace transform method. The dynamic analysis of straight and curved beams on elastic foundation are analyzed through various examples.
