The Reanalysis Method of Weighted Generalized Inverse for Topological Modification of Plane Structures
Using a weighed decomposition of the stiffness matrix and the weighed generalized inverse theory, a reanalysis method is presented for the topological modification of plane structures, and a set of formulae of elementary topology change are obtained. These formulae are explicit one and using them one can reanalyze the modified structures in topological optimal design. Finally an example is given to verify the valid of this method.
P. Liang and J. Wei, "The Reanalysis Method of Weighted Generalized Inverse for Topological Modification of Plane Structures", Applied Mechanics and Materials, Vols. 138-139, pp. 510-515, 2012