The dual reciprocity boundary element method (DR/BEM) is employed for the solution of forced vibration problems of three-dimensional elastic solids. Use of the elastostatic fundamental solution in the integral formulation of elastodynamics creates an inertial volume integral in addition to the boundary ones. A general analytical method is described for the closed form determination of the particular solutions of the displacement and traction tensors corresponding to radial basis functions. The simple but effective l+r radial basis function is used in the formulation for the transformation of the inertial volume integral into surface integrals. Quadratic continuous and discontinuous 9-noded boundary elements are used in the analysis. Harmonic forced vibration problems are solved directly in the frequency domain. Transient forced vibration problems are solved by Houbolt's step-by-step integration of the equations of motion. Interior collocation points are also used for increased accuracy. Two numerical examples involving forced vibrations of a cube and a sphere are presented.

purchase the full-text of this paper (price £20)

go to the previous paper
go to the next paper
return to the table of contents
return to the book description
purchase this book (price £52 +P&P)