Eigensensitivity-based optimal damper location in variable geometry trusses

In this paper, two procedures are described to identify the optimal damping element locations in variable geometry trusses and to improve their behavior when dynamic loads are applied. In simple structures subjected to well-identified actions, obtaining an optimal location for damping elements can be relatively easy. However, as the geometry of the structures becomes more complex, the number of elements increases, and the frequency range of external actions is wider, finding the optimal location of dampers along the system becomes a difficult task. Furthermore, if the structure varies its geometry in successive positions, such as folding, unfolding, or any other movement, another level of complexity is added to the problem. The two procedures presented in this paper are based on calculating the effectiveness indices obtained from the derivatives of the eigenfrequencies of the dynamic eigenproblem with regard to parameters like stiffness or damping.