Singular Superposition Elastostatics BEM/GA
Algorithm For Cavity Detection
Author(s)
D. Ojeda, B. G´amez, E. Divo, A. Kassab & M. Cerrolaza
Abstract
A method for the efficient solution of the inverse geometric problem for cavity
detection using a point load superposition technique in the elastostatics boundary
element method (BEM) is presented in this paper. The superposition of point
load clusters to simulate the presence of cavities offers tremendous advantages
in reducing the computational time for the elastostatics field solution as no
boundary re-discretization is necessary throughout the inverse problem solution
process. The inverse solution is achieved in two steps: (1) fixing the location
and strengths of the point loads, (2) locating the cavity(ies) geometry(ies). For
a current estimated point load distribution, a first objective function measures the
difference between BEM-computed and measured deformations at the measuring
points. A Genetic Algorithm (GA) is employed to automatically alter the locations
and strengths of the point sources to minimize the objective function. The GA
is parallelized and dynamically balanced. Upon convergence, a second objective
function is defined and minimized to locate the cavity(ies) location(s) indicated
as traction-free surface(s). Results of cavity detection simulations using numerical
experiments and simulated random measurement errors validate the approach in
regular and irregular geometrical configurations with single and multiple cavities.
Keywords: boundary element method (BEM), cavity detection, genetic algorithm,
elastostatics.
Keywords
boundary element method (BEM), cavity detection, genetic algorithm,
elastostatics.
Related Book
Other papers in this volume
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