A mathematical model for processes of structure analysis
Abstract
Generally, path-following algorithms are used for the history analysis of structures. Now, a new approach is presented for solving the problem by parametric optimization. The optimization problem is solved in a direct product of function spaces. The necessary conditions of the stationarity of a curve are examined. A method is presented for determining a piece of a continuous component of the Karush-Kuhn-Tucker stationary curve depending on one parameter which transforms the problem into the space l2.
Keywords
References
[1] R. Abraham, J.E. Marsden, T. Ratiu. Manifolds, Tensor Analysis, and Applications. Springer-Verlag, New York, Berlin, 1988.[2] M.S. Bazaraa, C.M. Shetty. Nonlinear Programming Theory and Algorithms. John Wiley & Sons, New York, 1979.
[3] P.C. Bhakta, S. Roychandhuri. Optimization in Banach Spaces. Jour. of Math. Analysis and Applications, 134: 460-470, 1988.
[4] M.Z. Cohn, G. Maier. Engineering Plasticity by Mathematical Programming. Pergamon Press Inc. Waterloo, 1979.
[5] P.J. Daniell. Differentiation with Respect to a Function of Limited Variation. Trans. American Math. Soc., 19: 353-362, 1918.
Published
Jul 12, 2023
How to Cite
VÁSÁRHELYI, Anna.
A mathematical model for processes of structure analysis.
Computer Assisted Methods in Engineering and Science, [S.l.], v. 3, n. 4, p. 297-316, july 2023.
ISSN 2956-5839.
Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1430>. Date accessed: 22 dec. 2024.
Issue
Section
Articles
This work is licensed under a Creative Commons Attribution 4.0 International License.
