Time domain Green functions for the homogeneous Timoshenko beam
Author
Summary, in English
In this paper a wave splitting technique is applied to a homogeneous Timoshenko beam. The purpose is to obtain a diagonal equation in terms of the split fields. These fields are calculated in the time domain from an appropriate set of boundary conditions. The fields along the beam are represented as a time convolution of Green functions with the excitation. The Green functions do not depend on the wave fields but only on the parameters of the beam. Green functions for a Timoshenko beam are derived, and the exponential behaviour of these functions as well as the split modes are discussed. A transformation that extracts the exponential part is performed. Some numerical examples for various loads are presented and compared with results appearing in the literature.
Publishing year
1998
Language
English
Pages
125-141
Publication/Series
Quarterly Journal of Mechanics and Applied Mathematics
Volume
51
Issue
1
Document type
Journal article
Publisher
Oxford University Press
Topic
- Other Electrical Engineering, Electronic Engineering, Information Engineering
- Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
Research group
- Electromagnetic theory
ISBN/ISSN/Other
- ISSN: 0033-5614