Conditioning of Structural Flexibility Matrix

by Charles H. Goodspeed, (A.M.ASCE), Asst. Prof. of Civ. Engrg.; Carnegie-Mellon Univ., Pittsburgh, PA,
Michael Martin, (A.M.ASCE), Special Proj. Engr.; U.S. Steel Corp., Pittsburgh, PA,

Serial Information: Journal of the Structural Division, 1974, Vol. 100, Issue 8, Pg. 1677-1684

Document Type: Journal Paper


The flexibility method for structural analysis requires the inversion of the structural flexibility matrix. The accuracy of the inversion in a computer solution is affected by the error generated by computational round-off. Several general and related guidelines have been suggested as to how the final form of the matrix to be inverted should appear. Following these guidelines an algorithm is developed to minimize the number of off-diagonal terms and maximize the magnitude of the diagonal terms by appropriately selecting the redundants using only the associated topology.

Subject Headings: Structural analysis | Matrix (mathematics) | Computing in civil engineering | Algorithms

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