A boundary formulation for calculating moments of an arbitrary closed planar region

Abstract

In this study, a boundary formulation for calculating moments of an arbitrary closed planar region is proposed instead of calculating moments using the domain integral. The Gauss’ divergence theorem is used to transform moments of area into boundary integrals. Three examples are demonstrated to show the validity of the proposed method. Results obtained from the boundary formulation are compared with analytical solutions, and good accuracy is obtained.