On the Vibrations of a Linear and a Weakly 1-D) Wave Equations with Non-classical Boundary Damping(plagiarism)

Darmawijoyo, Darmawijoyo (2023) On the Vibrations of a Linear and a Weakly 1-D) Wave Equations with Non-classical Boundary Damping(plagiarism). Turnitin Universitas Sriwijaya. (Submitted)

Text (Darmawijoyo. (2011) On the Vibrations of a Linear and a Weakly 1-D Wave Equations with Non-classical Boundary Damping (Plagiarism). Turnitin Universitas Sriwijaya.) j54 turnitin.pdf - Other Available under License Creative Commons Public Domain Dedication. Download (1MB)

Abstract

In this study initial-boundary value problems for a linear and a weakly nonlinear string (or wave) equation are considered. One end of the string is assumed to be fixed and the other end of the string is attached to a spring-mass-dashpot system, where the damping generated by the dashpot is assumed to be small. This problem can be regarded as a simple model describing oscillations of flexible structures such as overhead power transmission lines. For a linear problem a semigroup approach will be used to show the well-posedness of the problem as well as the asymptotic validity of formal approximations of the solution on long time-scales. It is also. shown how a multiple time-scales perturbation method can be used effectively to construct asymptotic approximations of the solution on long timescales. The main problem of this paper is to study how efficiently these boundary dampers work.

Item Type:	Other
Subjects:	Q Science > QA Mathematics > QA1-43 General #3 Repository of Lecturer Academic Credit Systems (TPAK) > Results of Ithenticate Plagiarism and Similarity Checker
Divisions:	06-Faculty of Education and Educational Science > 84202-Mathematics Education (S1)
Depositing User:	Darmawijoyo Darmawijoyo
Date Deposited:	21 Jun 2023 08:05
Last Modified:	21 Jun 2023 08:05
URI:	http://repository.unsri.ac.id/id/eprint/112665

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