Analysis of Anharmonic Oscillatory Motion

Faculty Sponsor

Dr. Stan Zygmunt

College

Arts and Sciences

Discipline(s)

Physics

Presentation Type

Oral Presentation

Symposium Date

Spring 4-29-2021

Abstract

The behavior of harmonic oscillators is easily characterized. For example, many undergraduates encounter systems such as an oscillating mass which stretches and compresses a spring. In these harmonic systems, the restoring force on the oscillator is linear, and the period of oscillation does not change if the oscillation amplitude is changed. However, variations on these systems can easily be constructed to display anharmonic behavior. We have examined three different anharmonic systems, each with a different nonlinear restoring force, and analyzed the relationship between oscillation period and amplitude for each.

Biographical Information about Author(s)

Andrew Edwards is a physics and mathematics major. This research is part of his senior capstone research in physics. After graduation, he will be pursuing a Ph.D. in mathematics at Case Western Reserve University.

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