M-P inverse method of topological variation of frame structures. (English) Zbl 0968.74051
Summary: We discuss a topological modification method for structural variations of space frame structures by using the Moore-Penrose inverse theory and a new kind of factorization of stiffness matrix. A set of explicit formulations of variations are obtained, and a numerical example is given to illustrate the validity of the present method.
MSC:
74P15 | Topological methods for optimization problems in solid mechanics |
74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |