Convergence in Highly Nonlinear Cable Net Problems

by Anil K. Kar, (M.ASCE), Civ. Engr.; Burns and Roe, Inc., Hempstead, L.I., NY,
Clyde Y. Okazaki, Civ. Engr.; U.S. Army Engr. Div., South Pacific, Corps of Engrs., San Francisco, CA,

Serial Information: Journal of the Structural Division, 1973, Vol. 99, Issue 3, Pg. 321-334

Document Type: Journal Paper


An iterative method for rapid convergence of nonlinear cable net problems is presented. Three already available methods, and the new method are compared for their efficiency in the convergence of highly nonlinear cable net problems. Three problems used in the comparisons indicate that as the nonlinearity increases, the new iterative method gains in comparative efficiency. For highly nonlinear cases, it is important that the linearized equations of equilibrium should be the true linear equations; otherwise, convergence may not be achieved when the Newton-Raphson procedure or any modified version of it is used for iteration.

Subject Headings: Cables | Convergence (mathematics) | Nonlinear analysis | Comparative studies | Linear functions | Equilibrium

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