Scenarios in the experimental response of a vibro-impact single-degree-of-freedom system and numerical simulations

Abstract

In this paper, possible scenarios within the experimental dynamic response of a vibro-impact singledegree-of-freedom (SDOF) system, symmetrically constrained by deformable and dissipative bumpers, were identified and described. The different scenarios were obtained varying selected parameters, namely peak value of table acceleration A, amplitude of the total gap between mass and bumpers G and bumper's stiffness B. Subsequently, using a Simplified Nonlinear Model (SNM), results in good agreement with the experimental outcomes were obtained, although the model includes only the nonlinearities due to clearance existence and impact occurrence. Further numerical analysis highlighted other scenarios that can be obtained for values of the parameters not considered in the experimental laboratory campaign. Finally, to attempt a generalization of the results, suitable dimensionless parameters were introduced.

Periodic traveling waves in a taut cable on a bilinear elastic substrate

“…Also in this case, we look for solutions of the form (10) with the substrate stiffness given by equations ( 13)- (14). By using the dimensionless variables introduced in (11), the equations for W 1 and W 2 (analogous to equations ( 15) and ( 16)) are…”

“…Among the many examples of piecewise linear systems in engineering applications, we mention the inverted pendulum with lateral barriers [10,11], oscillations of rigid blocks [12], vibro-impact systems [13,14], cracked beams [15][16][17] (where the crack is treated as a bilinear lumped spring), capsule systems [18], drillstring problems [19] and neuronal networks with gap junctions [20]. Referring to continuous systems, relevant examples are those of beams and cables resting on unilateral foundations [21][22][23][24].…”

Finite contact duration modeling of a Vibro-Impact Nonlinear Energy Sink to protect a civil engineering frame structure against seismic events

“…Some studies focused on the case of impacting barriers connected to the primary structure by linear springs [30][31][32]. Bumpers were also modeled as linear springs-dashpots in [33,34], and either linear or nonlinear springs in [35]. More precisely, piecewise NESs addressed by Ref.…”

Study on Dynamic Characteristics and Parameter Influence of a Kind of Bilateral Restraint Impact Vibration System

“…Stefani et al introduced suitable dimensionless parameters in their experiments. De Angelis et al experimentally investigated the effect of geometric and mechanical properties of vibration isolation and damping devices on the nonlinear, nonsmooth response of vibration shock systems [13][14][15][16][17][18][19][20][21][22]. De Angelis et al investigated the dynamic response of an SDOF oscillator under a fundamental acceleration excitation.…”