Numerical modelling of simple harmonic oscillator

Tuan Norhasmira , Tuan Haris (2013) Numerical modelling of simple harmonic oscillator. Project Report. UTeM, Melaka. (Submitted)

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Abstract

Numerical method is a technique whereby mathematical problems are formulated so that they can be solved with arithmetic and logical operations. Harmonic oscillator is a physical system that is bound to a position of stable equilibrium by a restoring force or torque proportional to the linear or angular displacement from this position. If such a body is disturbed from its equilibrium position and released, and if damping can be neglected, the resulting vibration will be simple harmonic motion, with no overtones. The behaviour of the simple harmonic oscillator will change whenever the parameters involved are changed and the prediction of the changes can be predicted using MATLAB software. The calculation of the simple harmonic motion can be obtained from finite difference scheme equation. When the equation of finite difference scheme of simple harmonic oscillator is obtained, the parameters and equation are keyed in into MATLAB language. The parameters related are changed based on certain range and the graph simple harmonic oscillator is analyzed and the behaviour of simple harmonic oscillation is obtained. In this project, the program had been completed and verified by using MATLAB software.

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