Introductory remarks -- Free vibrations and stability of an elastically connected double-beam system -- Effects of axial compression forces, rotary inertia and shear on forced vibrations of the system of two elastically connected beams -- Static and stochastic stability of an elastically connected beam system on an elastic foundation -- The effects of rotary inertia and transverse shear on the vibration and stability of the elastically connected Timoshenko beam-system on elastic foundation -- The effects of rotary inertia and transverse shear on vibration and stability of the system of elastically connected Reddy-Bickford beams on elastic foundation -- Geometrically non-linear vibration of Timoshenko damaged beams using the new p-version of finite element method.  .