Optimal design of flexible rod structural members

The problems of optimal design of flexible rod members connected to a carrying body undergoing programmed motion with respect to the center of mass of the system, are examined. The problems are solved by solving directly optimal-control problems with phase constraints in the form of inequalities. The results of optimization of the shape of a flexible member, the distribution of mass and stiffness along a flexible member with an azimuthat contour of the axis, and determination of the optimal distribution of mass and stiffness along the member with the optimal contour of the axis are presented. It is concluded that inertially loaded flexible rods are extremely sensitive to the geometry and the distribution of material.