Tarig Transform Analysis of Undamped Mechanical Oscillating System Subjected To a Periodic Force

Theoretical analysis of undamped mechanical oscillating system subjected to periodic force is discussed in this paper using Tarig transform technique. We first applied Tarig transform to elementary first and second order ordinary differential equations to illustrate the approach. Thereafter, it was used to solve the undamped mechanical system equations; system subjected to periodic force and forced free system. Tarig solutions obtained are bounded and oscillatory solutions in the time variable, t . It was observed that periodic force (external force) reduces the rate at which a mechanical system oscillates. Hence, the force reduces the amplitude of oscillation of the mechanical oscillating system. Keywords: Tarig transform, Oscillating systems, undamped mechanical system, periodic force, Amplitude of oscillation, bounded solution, Differential equations