Bifurcation of rupture path by linear and cubic damping force

Dennis, L.C.C. and Chew, X. and Lee, Y. (2014) Bifurcation of rupture path by linear and cubic damping force. In: UNSPECIFIED.

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Abstract

Bifurcation of rupture path is studied for the effect of linear and cubic damping. Momentum equation with Rayleigh factor was transformed into ordinary differential form. Bernoulli differential equation was obtained and solved by the separation of variables. Analytical or exact solutions yielded the bifurcation was visible at imaginary part when the wave was non dispersive. For the dispersive wave, bifurcation of rupture path was invisible. © 2014 AIP Publishing LLC.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Additional Information: cited By 0; Conference of 3rd International Conference on Mathematical Sciences, ICMS 2013 ; Conference Date: 17 December 2013 Through 19 December 2013; Conference Code:106205
Uncontrolled Keywords: Damping; Differential equations; Dispersion (waves), Differential forms; Dispersive waves; Exact solution; Imaginary parts; Momentum equation; Rayleigh; Rupture path; Separation of variables, Bifurcation (mathematics)
Depositing User: Mr Ahmad Suhairi UTP
Date Deposited: 09 Nov 2023 16:16
Last Modified: 09 Nov 2023 16:16
URI: https://khub.utp.edu.my/scholars/id/eprint/5145

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