The effect of the presence of obstacles on the dynamic response of single-degree-of-freedom systems: Study of the scenarios aimed at vibration control

Optimal design of single-degree-of-freedom vibro-impact system under harmonic base excitation

“…In order to optimize the control of the dynamic response of the system, the physical parameters governing the impact (gap 𝛿𝛿 0 , stiffness 𝜆𝜆 and damping 𝛾𝛾 of the bumper) to be adopted are obtained in relation to an optimal design criterion based on a relationship that links damping ratio 𝜉𝜉 of the system with parameters 𝜆𝜆 and 𝛾𝛾 of the bumpers [6], and on a curve in which bumper stiffness 𝜆𝜆 is identified in relation to the gap 𝛿𝛿 0 [7].…”

“…From these studies, it was observed that the parameters governing the impact between system and bumper can be identified by three elements: gap (distance between mass and bumper), stiffness and damping of the bumper. The authors, moreover, based on the experimental investigations defined a numerical model that allowed the identification of optimality relations between bumper stiffness, bumper damping coefficient and gap, reducing the design of such a control strategy to a single parameter [3][4][5][6][7].…”

“…This paper analyzes the response obtained from a numerical model of SDOF system constrained by two bumpers, arranged symmetrically on both sides of the mass of the system with an initial gap, subjected to sine excitation. The design of bumpers is done in accordance with the optimality relationship [6] and the optimal design curve [7]. The absolute maximum values of the response in absolute mass acceleration and relative mass displacement are represented as a function of frequency ratio and for six initial gaps.…”