The author has used Coupled Displacement Field method to study the free vibration behavior of Timoshenko beams for linear vibrations and large amplitude vibrations for different boundary conditions such as Hinged-Hinged, Clamped-Clamped and Hinged-Clamped. The author has also published his research work on vibration behavior of structural members like tapered Timoshenko beams, uniform Timoshenko beams resting on elastic foundations, thin and moderately thick plates plates resting on elastic foundations, Taper Thick Plates, Thick plates with central cutouts. Coupled Displacement Field method reduces computational efforts half to the existing energy methods.