摘要
Rotationally periodic symmetry is exploited in 2-D elastostatic calculation using the BEM.It is proved that the coefficient matrices of the global boundary element equations for the rotationally periodic system are block-circulant so long as a kind of symmetry-adapted reference coordinate system is adopted. Furthermore,an efficient algorithm,which partitions the original problem of solving the boundary element equations into a series of subproblems,is proposed.The method permits arbitrary load distribution for stress analysis problems.
Rotationally periodic symmetry is exploited in 2-D elastostatic calculation using the BEM.It is proved that the coefficient matrices of the global boundary element equations for the rotationally periodic system are block-circulant so long as a kind of symmetry-adapted reference coordinate system is adopted. Furthermore,an efficient algorithm,which partitions the original problem of solving the boundary element equations into a series of subproblems,is proposed.The method permits arbitrary load distribution for stress analysis problems.