Darmawijoyo, Darmawijoyo and Horssen, W.T. Van (2001) On Boundary Damping for a Weakly Nonlinear Wave Equation. Reports of the Department of Applied Mathematical Analysis. ISSN 1389-6520
Preview |
Text
Pages_from_01-09new.pdf Download (141kB) | Preview |
Abstract
In this paper an initial-boundary value problem for a weakly nonlinear string (or wave) equation with non-classical boundary conditions is considered. One end of the string is assumed to be ?xed 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 rather simple model describing oscillations of exible structures such as suspension bridges or overhead transmission lines in a wind ?eld. A multiple time-scales perturbation method will be used to construct formal asymptotic approximations of the solution. It will also be shown that all solutions tend to zero for a sufficiently large value of the damping parameter.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | wave equation, boundary damping, asymptotics, two-timescales pertur-bation method. |
| Subjects: | Q Science > QA Mathematics > QA1-43 General |
| Divisions: | 06-Faculty of Education and Educational Science > 84202-Mathematics Education (S1) |
| Depositing User: | Dr. Darmawijoyo Hanapi |
| Date Deposited: | 01 Oct 2019 09:10 |
| Last Modified: | 01 Oct 2019 09:10 |
| URI: | http://repository.unsri.ac.id/id/eprint/9189 |
Actions (login required)
 |
View Item |