TY - JOUR
N2 - The paper concerns a strength optimization of continuous beams with variable cross-section. The continuous beams are subjected to a dead weight and a useful load, the six (seven) combinations of loads were analyzed. Optimal design problems in structural mechanics can by mathematically formulated as optimal control tasks. To solve the above formulated optimization problems, the minimum principle was applied. The paper is an introductory and survey paper of the treatment of realistically modelled optimal control problems from application in the structural mechanics. Especially those problems are considered, which include different types of constraints. The optimization problem is reduced to the solution of multipoint boundary value problems (MPBVP) composed of differential equations. Dimension of MPBVP is usually a large number, what produces numerical difficulties. Optimal control theory does not give much information about the control structure. The correctness of the assumed control structure can be checked after obtaining the solution of the boundary problem.
L1 - http://so.czasopisma.pan.pl/Content/115704/PDF/18_ace-2019-0060.pdf
L2 - http://so.czasopisma.pan.pl/Content/115704
PY - 2019
IS - No 4
EP - 293
KW - Optimal control problems
KW - necessary conditions
KW - control variable inequality constraints
KW - multipoint boundary-value problems
KW - optimal switching structure
A1 - Mikulski, Leszek
PB - WARSAW UNIVERSITY OF TECHNOLOGY FACULTY OF CIVIL ENGINEERING and COMMITTEE FOR CIVIL ENGINEERING POLISH ACADEMY OF SCIENCES
VL - Vol. 65
DA - 15.12.2019
T1 - The structure of the optimal control in the problems of strength optimization of steel girders
SP - 277
UR - http://so.czasopisma.pan.pl/dlibra/publication/edition/115704
T2 - Archives of Civil Engineering
ER -