Transient dynamic boundary element analysis using Gaussian-based mass matrix
This paper presents a new boundary element formulation for transient dynamic analysis. The formulation is based on the solution of the problem using the static fundamental solution. The inertia term is approximated using particular solutions using radial bases functions. Another collocation scheme is preformed to determine suitable coefficients for the radial bases function approximation. The Gaussian radial bases function is used as it rapidly decays leading to better conditioned and sparse matrices. The necessary kernels are derived and their limiting values at the singular node are given. The formulation is implemented into a computer program that accounts for boundary and internal nodes. Two examples are presented to show the accuracy and the validity of the present formulation. A numerical discussion on using the Gaussian function with compact supported or cut-off radius is also given.
mass matrix transient dynamic analysis particular solutions gaussian radial bases function boundary element method dual reciprocity method