Application of Convolution Method to the Impulsive Response of A Lightly Damped Harmonic Oscillator

Abstract

Received: 05/Jun/2019, Accepted: 19/Jun/2019, Online: 30/Jun/2019 Abstract: In this paper, an impulsive response of a lightly damped harmonic oscillator is obtained by solving its equation of motion by the convolution method. Generally, it has been obtained typically. Convolution method provides an easy approach towards obtaining the impulsive response of a lightly damped harmonic oscillator. This paper brings up the convolution method as an easy and effective approach for obtaining the impulsive response of a lightly damped harmonic oscillator and presents a new technological approach to solve the Ordinary differential equations. We extend this method to obtain the response of an overdamped oscillator. It provides a powerful mathematical tool and reveals that the convolution method is effective and simple.