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Technical Brief

Nonlinear Energy Sinks With Nontraditional Kinds of Nonlinear Restoring Forces

[+] Author and Article Information
Mohammad A. AL-Shudeifat

Aerospace Engineering,
Khalifa University of Science, Technology and Research,
Abu Dhabi 127788, UAE
e-mail: mohd.shudeifat@kustar.ac.ae

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 3, 2015; final manuscript received December 2, 2016; published online February 22, 2017. Assoc. Editor: Paul C.-P. Chao.

J. Vib. Acoust 139(2), 024503 (Feb 22, 2017) (5 pages) Paper No: VIB-15-1245; doi: 10.1115/1.4035479 History: Received July 03, 2015; Revised December 02, 2016

The nonlinear energy sink (NES) is usually coupled with a linear oscillator (LO) to rapidly transfer and immediately dissipate a significant portion of the initial shock energy induced into the LO. This passive energy transfer and dissipation are usually achieved through strong resonance captures between the NES and the LO responses. Here, a nontraditional set of nonlinear coupling restoring forces is numerically investigated to introduce enhanced versions of the NESs. In this new set of nonlinear coupling restoring forces, one has a varying nonlinear stiffness that includes both of hardening and softening stiffness components during the oscillation, which appear in closed-loops under the effect of the damping. The obtained results by the numerical simulation have shown that employing this kind of the nonlinear restoring forces for passive targeted energy transfer (TET) is promising for shock mitigation.

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Figures

Grahic Jump Location
Fig. 1

Nonlinear force produced by the oscillator in Eq. (2) for p=1, n=3, λ=3, β=1  N/m3, k=0.5  N/m3, x(0)=0, and x˙(0)=1 m/s, which is plotted versus the displacement in (a) and the time in (b) for viscous damping coefficient α=0 and in (c) and (d) for α=0.03

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Fig. 2

Designs of the proposed NESs attached to the LO according to the nonlinear oscillator in Eq. (2)

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Fig. 3

Optimization of the parameters β and λ in Eq. (3) of the proposed NESs for p=1 in (a) and p=2 in (b)

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Fig. 4

Numerical simulation results at x˙1(0)=0.2 m/s for the NESs: (a)–(c) type I NES, (d)–(f) the proposed NES at p=1, and (g)–(i) the proposed NES at p=2

Grahic Jump Location
Fig. 5

Numerical simulation results at x˙1(0)=0.15 m/s for the NESs: (a)–(c) type I NES, (d)–(f) the proposed NES at p=1, and (g)–(i) the proposed NES at p=2

Grahic Jump Location
Fig. 6

Normalized-averaged effective damping versus initial velocities of the LO mass for type I NES and the proposed NESs at p=1 and p=2

Grahic Jump Location
Fig. 7

The restoring force of the proposed NES at p=1 for x˙1(0)=0.15 m/s in (a) and x˙1(0)=0.2 m/s in (b)

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