The energy thresholds of nonlinear vibration absorbers

Abstract

A popular means to mitigate excessive structural vibrations is the attachment of a lightweight spring-mass element, known as a vibration absorber or tuned mass damper. Designing new types of vibration absorbers that outperform the classical linear tuned mass damper is a challenging ongoing research field. This paper focuses on the absorber with a strongly nonlinear spring characteristic. A critical aspect in the design procedure of such nonlinear vibration absorber is the existence of energy thresholds below which no efficient vibration reduction is possible. This paper extends the concept of an energy threshold to a more general parameter threshold representing several threshold values. Two important contributions are obtained. First, one single bifurcation analysis covers every combination of the system parameters. Second, the results are generalized to linear main systems under impulsive load and harmonic load, nonlinear main systems, and general nonlinear spring characteristics

Vibracioni Absorber Za Zgradu Pri Seizmičkom Poremećaju

“…Livija Cveticanin 1 Zvonko Rakaric 2 Miodrag Zukovic 3 UDK: 534.28:519.6 DOI: 10.14415/konferencijaGFS2018.010 Summary: Various mthods for elimination vibrations cased by seismic perturbation are developed. Beside the passive vibration absorbers significant number of active vibration absorbers are suggested.…”

“…| ЗБОРНИК РАДОВА МЕЂУНАРОДНЕ КОНФЕРЕНЦИЈЕ (2018) | linear tuned mass damper is a challenging ongoing research field [1]. To try and enhance the performance of a tuned mass damper, nonlinear stiffness can be introduced to good use [2].…”

“…Model of the building-absorber system[1] Introducing the relative displacement z=x-xna the equations (5) are transformed into ,…”

Multimodal vibration damping of nonlinear structures using multiple nonlinear absorbers

“…Irreversible targeted energy transfer from the host structure to the absorber may take place regardless of the structural resonance frequency. The NES is, however, not efficient at low forcing amplitudes [7]. The tuned bistable nonlinear energy sink (TBNES) was proposed in [8] to address this limitation.…”

Targeted energy transfer and modal energy redistribution in automotive drivetrains

“…Some of the excess energy is retained within the NES itself [ 23 ]. This action leads to a reduction in the vibration amplitudes of the primary system in a broadband manner, which is due to the strong nonlinearity of the NES [ 24 – 26 ]. The energy dissipation rate of the primary structure can be controlled by adjusting the damping content of the NES [ 27 ].…”