On Boundary Damping for a Weakly Nonlinear Wave Equation
| Main Authors: | Darmawijoyo, Darmawijoyo, Van Horssen, W.T. |
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| Format: | Article PeerReviewed application/pdf |
| Terbitan: |
Department of Applied Mathematical Analysis, Delft, The Netherlands
, 2001
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| Subjects: | |
| Online Access: |
http://eprints.unsri.ac.id/492/1/Pages_from_01%2D09new.pdf http://www.ewi.tudelft.nl/fileadmin/Faculteit/EWI/Over_de_faculteit/Afdelingen/Applied_Mathematics/Rapporten/doc/01-09new.pdf http://eprints.unsri.ac.id/492/ |
Daftar Isi:
- 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.