SPARK 2023 (Symposium on Physics: Advances in Research and Knowledge)

Non-Linear Wave Equation for the Vibration of a String Under Arbitrary Deformation and Under Non-Uniform Tension

Not scheduled

10m

Physics Gallery (North Lakhimpur University)

Oral Track 04 Technical Session 05

Speaker

Abinash Das (North Lakhimpur College(Autonomous))

Description

The well-known one-dimensional wave equation for a vibrating string holds good only for slowly varying waves with the motion being confined in a plane. Furthermore, it is assumed that the strain is uniform and small. Here we generalize the wave equation for the vibration of a string under non-uniform tension and arbitrary initial deformation.