Vol. 8, No. 8-10, 2013

Download this article
Download this article. For screen
For printing
Recent Issues

Volume 19
Issue 4, 541–572
Issue 3, 303–540
Issue 2, 157–302
Issue 1, 1–156

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the journal
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN (electronic): 1559-3959
ISSN (print): 1559-3959
Author index
To appear
Other MSP journals
Worst-case load in plastic limit analysis of frame structures

Yoshihiro Kanno

Vol. 8 (2013), No. 8-10, 415–439
[an error occurred while processing this directive]

This paper addresses the plastic limit analysis of a frame structure under uncertainty in the external load. Given a bounded set in which an external load can vary, we attempt to find the worst load that minimizes the limit load factor. It is shown that this problem can be formulated as a mixed-integer linear programming problem. The global optimal solution of this optimization problem can be found by using an existing algorithm, e.g., a branch-and-cut method. Guaranteed convergence to a global optimal solution is important because it implies that the proposed method yields neither overestimation nor underestimation in this uncertainty analysis problem. Two numerical examples illustrate that the worst scenario problem can be solved with modest computational effort. They also show that not only does the limit load factor depend on the level of uncertainty in the external load, but the collapse mode as well.

robustness, uncertainty, worst scenario detection, plastic limit analysis, global optimization, mixed-integer programming
Received: 10 March 2013
Revised: 19 July 2013
Accepted: 19 August 2013
Published: 30 December 2013
Yoshihiro Kanno
Department of Mathematical Informatics
Graduate School of Information Science and Technology
University of Tokyo
Hongo 7-3-1, Bunkyo-ku
Tokyo 113-8656