The dual reciprocity method applied to free vibrations of 2D structures using compact supported radial basis functions

@article{Samaan2007TheDR,
  title={The dual reciprocity method applied to free vibrations of 2D structures using compact supported radial basis functions},
  author={Morcos F. Samaan and Youssef F. Rashed and Metwally Abdel Aziz Ahmed},
  journal={Computational Mechanics},
  year={2007},
  volume={41},
  pages={85-105}
}
This paper presents a new boundary element application for free vibration analysis of 2D elastic structures. The dual reciprocity method is applied using four compact supported radial basis functions for approximating the domain inertia terms. The eigen-problem of displacement is then solved considering the traction contribution by means of static condensation. The formulation is also extended to consider additional internal nodes to improve accuracy. Three numerical problems are studied to… CONTINUE READING