Print Email Facebook Twitter On constructing a Green’s function for a semi-infinite beam with boundary damping Title On constructing a Green’s function for a semi-infinite beam with boundary damping Author Akkaya, T. (TU Delft Mathematical Physics) van Horssen, W.T. (TU Delft Mathematical Physics) Date 2017 Abstract The main aim of this paper is to contribute to the construction of Green’s functions for initial boundary value problems for fourth order partial differential equations. In this paper, we consider a transversely vibrating homogeneous semi-infinite beam with classical boundary conditions such as pinned, sliding, clamped or with a non-classical boundary conditions such as dampers. This problem is of important interest in the context of the foundation of exact solutions for semi-infinite beams with boundary damping. The Green’s functions are explicitly given by using the method of Laplace transforms. The analytical results are validated by references and numerical methods. It is shown how the general solution for a semi-infinite beam equation with boundary damping can be constructed by the Green’s function method, and how damping properties can be obtained. Subject Boundary damperEuler–Bernoulli beamGreen’s functionsSemi-infinite domainThe method of Laplace transforms To reference this document use: http://resolver.tudelft.nl/uuid:9a479f07-f2f6-478c-a398-1f233dcca1e2 DOI https://doi.org/10.1007/s11012-016-0594-9 ISSN 0025-6455 Source Meccanica, 52 (10), 2251-2263 Part of collection Institutional Repository Document type journal article Rights © 2017 T. Akkaya, W.T. van Horssen Files PDF 26615621.pdf 1.13 MB Close viewer /islandora/object/uuid:9a479f07-f2f6-478c-a398-1f233dcca1e2/datastream/OBJ/view