TY - JOUR
T1 - On constructing a Green’s function for a semi-infinite beam with boundary damping
AU - Akkaya, Tugce
AU - van Horssen, Wim T.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
KW - Boundary damper
KW - Euler–Bernoulli beam
KW - Green’s functions
KW - Semi-infinite domain
KW - The method of Laplace transforms
UR - http://resolver.tudelft.nl/uuid:9a479f07-f2f6-478c-a398-1f233dcca1e2
UR - http://www.scopus.com/inward/record.url?scp=85001018483&partnerID=8YFLogxK
U2 - 10.1007/s11012-016-0594-9
DO - 10.1007/s11012-016-0594-9
M3 - Article
AN - SCOPUS:85001018483
SN - 0025-6455
VL - 52
SP - 2251
EP - 2263
JO - Meccanica
JF - Meccanica
IS - 10
ER -