Design and Analysis of a Geometrically Nonlinear Dynamic Vibration Absorber

Abstract

The design and optimization of a nonlinear dynamic vibration absorber based on a snap-through truss geometry is investigated. The effect of absorber's parameters on primary system (PS) vibration amplitude reduction and frequency range of operation is analyzed. Within parametric analyses of the absorber, a methodology was proposed to tune the absorber's stiffness. Results show that the nonlinear vibration absorber may be substantially more effective than its linear counterpart both in terms of vibration amplitude reduction and absorption frequency range. Possible difficulties and/or limitations caused by the nonlinearity induced by the absorber are analyzed and, for the studied case, do not diminish the advantages of the nonlinear absorber (NLAbs). The effect of absorber's damping on the vibration reduction performance was also analyzed indicating that the NLAbs outperforms its linear counterpart even for higher damping levels.

On the detailed design of a quasi-zero stiffness device to assist in the realisation of a translational Lanchester damper

“…Equation (15) in Section 4.1 is used to estimate the value of damping a in the device, assuming that it is a linear zero-stiffness device. Since the device suspension was the same on both structures, a trade-off estimate of the damping coefficient resulted in ca = 3 Ns/m, which leads to a = 0.009 for the beam experiment and a = 0.024 for the blade experiment.…”

“…In practice, springs cannot be extended/compressed to infinity, which involves nonlinear saturation stiffness issues [13,14]. Recent works on the use of nonlinear vibration absorbers include Godoy and Trindade [15], who investigated the tuning of a nonlinear dynamic vibration absorber based on a snap-through truss geometry, and Zou et al [16], who proposed a geometrical device capable of customizing the nonlinear forces used for vibration isolation and energy sink devices.…”