Interactive re-analysis in mechanical design evolution. Part II. Rapid evaluation of boundary element integrals

A boundary element method elasticity model of a design can evolve simultaneously with the geometry. Re-analysis following a design perturbation requires rapid response in updating stress contours in order to guide the design effectively. This paper describes some integration schemes which enhance the response in comparison with current methods. It is found that the use of look up tables containing integral solutions offers acceptable accuracy in stress solutions, and that this accuracy can be achieved in a reduced time in comparison with conventional re-useable intrinsic sampling point (RISP) Gauss Legendre integration. The RAM requirements are considered in association with the benefits to be gained, and suggested look-up table refinements proposed.