The design of a beam with controlled force elements. (Russian, English) Zbl 1100.74574
Prikl. Mat. Mekh. 69, No. 1, 94-105 (2005); translation in J. Appl. Math. Mech. 69, No. 1, 89-99 (2005).
The author considers a static problem on the choice of optimal location and efforts of actuators on a beam subject to transversal load. The Green function of the corresponding boundary-value problem is applied to obtain explicit formulas expressing solution of the problem depending on the actuators application points, then the problem is replaced by its discrete analogue. Finally, the stated problem is reduced to the mathematical programming problem which is studied and solved for different cases of load prescription.
Reviewer: V. A. Zarutsky (Kyïv)
MSC:
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
| 74P10 | Optimization of other properties in solid mechanics |
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