Relation between Cubic Stiffness and Initial Conditions of Maximum Energy Dissipation in a Nonlinear Vibration Absorber

A novel technical finding is proposed based on the analytical study of the underlying conservative system of a small mass nonlinear vibration absorber coupled with a main structure. For the system with linear damping under impulsive excitation, a result is obtained that the initial energy for inducing maximum dissipation of energy in the nonlinear attachment is inversely proportional to the cubic stiffness. The technical point coincides with massive numerical simulations precisely. This relationship between the cubic stiffness and the initial conditions facilitates the tuning of a nonlinear vibration absorber for realizing optimal targeted energy transfer.