The design of a beam with controlled force units

The problem of choosing the optimum arrangement and forces of the actuators on a beam acted upon by a transverse load is considered. Using Green's function for the corresponding boundary-value problem, explicit formulae are obtained which express the solution of the problem as a function of the points of application of the actuators, after which the problem is replaced by its discrete analogue. In the final analysis, the problem reduces to a problem of mathematical programming, which is investigated and solved for different cases of the specification of the loads.