Journal
COMPUTATIONAL MECHANICS
Volume 41, Issue 1, Pages 85-105Publisher
SPRINGER
DOI: 10.1007/s00466-007-0171-0
Keywords
boundary element method; free vibration analysis; dual reciprocity method; compact supported radial basis functions; 2D elastodynamics
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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 demonstrate the validity and accuracy of the developed formulation. The results are compared to those obtained from analytical and other numerical solutions. A parametric study is set up to demonstrate the effect of the compact support radius on the final results and on the sparsity of system matrices.
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