Periodically forced system with symmetric motion limiting constraints: Dynamic characteristics and equivalent electronic circuit realization

Luo, Tianqi; Wang, Zheng

doi:10.1016/j.ijnonlinmec.2016.01.021

Cited by 7 publications

(5 citation statements)

References 70 publications

(110 reference statements)

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“…The generation mechanism of complete and incomplete chatteringimpact vibration of the system was investigated in [47]. Luo and Wang [48] studied the dynamics of a twodegree-of-freedom periodically-forced system with symmetric motion limiting constraints, with emphasis on the mutual transition characteristics between neighboring regions of fundamental impact motions and designed and realized an electronic circuit for physical implementation of dynamics of the system. Hao et al [49] proposed a two-sided damping constraint control strategy to improve the performance of the quasi-zero stiffness (QZS) isolator for both low-and high-frequency components simultaneously and to prevent the severity of endstop impact.…”

Section: Introductionmentioning

confidence: 99%

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

2020

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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.

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Section: Introductionmentioning

confidence: 99%

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

2020

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“…The problem increases further in complexity when dealing with multi-body/contact dynamic systems that consist of several deformable structures undergoing 'soft' impacts against compliant amplitude constraints. It gives rise to a very rich nonlinear dynamics that are currently at the forefront of VIS research [41,42,[45][46][47][48][49][50]. VIS modeling becomes even more involving when CPC subdomain is added.…”

Section: Model Implementationmentioning

confidence: 99%

“…These response features are typical of VIS and pertain to rich nonlinear broadband dynamics occurring in DR-VEH. Depending on the system parameters and initial conditions, the vibro-impact responses may include a variety of (quasi)-periodic or even chaotic motion regimes by exhibiting various nonlinear phenomena such as instability jumps, hysteresis loops, sub/super-harmonic resonances, etc [10,[37][38][39][40][41][42][43][44][45][46][47][48][49][57][58][59]. Next, we will consider in more detail dynamic regularities associated with jump frequencies and hysteresis since they are pertinent to DR-VEH operating bandwidth.…”

Section: Analysis Of Nonlinear Responsesmentioning

confidence: 99%

Nonlinear piezoelectric vibration energy harvester with frequency-tuned impacting resonators for improving broadband performance at low frequencies

Daukševičius

Gaidys

Ostaševičius

et al. 2019

Smart Mater. Struct.

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The paper reports on a nonlinear frequency up-converting vibration energy harvester with enhanced broadband performance below 50 Hz, which is attained by leveraging vibro-impact interaction between two high-frequency piezoelectric generators and two low-frequency resonators with commensurate natural frequencies in the 2:1 ratio. Finite element model was implemented to assess the proposed concept by treating the harvester as a vibro-impact coupled piezoelectric-circuit system. The model accommodates multiple mechanical contact pairs defined by nonlinear dissipative Hunt-Crossley contact force formulation. Effective design principles were applied to maximize power output including near-optimal positioning of the neutral plane in the generators and rational adjustment of response settling time. The fabricated proof-ofconcept device was tested in different clearance configurations and under varying harmonic excitation conditions to reveal rich nonlinear dynamics behavior. The measured hardening-type power frequency responses were examined to gain better insight into nonlinear resonance characteristics (instability jumps, frequency hysteresis, etc), which determine effectiveness of micro-power generation. It was demonstrated that the proposed dual-resonator energy harvester favorably harnesses nonlinear resonance amplification to deliver larger average power output (up to 37 μW) and useable bandwidth (up to 9.5 Hz) in comparison to the conventional singleresonator counterparts (delivering up to 26 μW and up to 7 Hz, respectively). The maximum normalized power density of the device is 41 μW cm −3 g −2 , while volume figure of merit and 3 dB or 1 dB bandwidth-based figures of merit reach 0.18%, 11 μW cm −3 g −2 and 1.5%, respectively. The latter value indicates superior broadband performance of the device. Adoption of mean performance index and coefficient of variation as complementary figures of merit proved to be valuable in identifying device configuration that yields the most effective and stable broadband operation in a targeted frequency range.

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“…The types of impact motion, and the bifurcations from one motion to the other, that can occur in the dynamics of vibro-impact systems with motion limiting constraints, with the variation of selected parameters are the subject of several studies, of mainly numerical nature [47][48][49][50][51][52][53][54][55][56][57][58][59][60]. The study of the dynamics of a two-degree-of-freedom periodicallyforced system with symmetric motion limiting constraints, with emphasis on the transition between fundamental impact motions, together with the design and implementation of an electronic circuit, describing the dynamic characteristics of the non-smooth system, are presented in [52]. The motions of a periodically forced non-smooth Duffing system at the switching boundary and the coexistence of different attractors are investigated in [56] through numerical simulations.…”

Section: Introductionmentioning

confidence: 99%

Numerical study on the response scenarios in a vibro-impact single-degree-of-freedom oscillator with two unilateral dissipative and deformable constraints

Stefani

Angelis

Andreaus

2021

Communications in Nonlinear Science and Numerical Simulation

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Periodically forced system with symmetric motion limiting constraints: Dynamic characteristics and equivalent electronic circuit realization

Cited by 7 publications

References 70 publications

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

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

Nonlinear piezoelectric vibration energy harvester with frequency-tuned impacting resonators for improving broadband performance at low frequencies

Numerical study on the response scenarios in a vibro-impact single-degree-of-freedom oscillator with two unilateral dissipative and deformable constraints

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