Frequency-dependent characteristics of grain-beam system: Negative mass and jump behaviour

Gao, Hong; Li, Jian; Dong, Jinlu; Yang, Ning; Pan, Jingwu

doi:10.1016/j.ijmecsci.2021.106706

Cited by 10 publications

(3 citation statements)

References 36 publications

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“…Studies conducted earlier by other researchers have mainly been aimed at modeling the process of grain threshing and separation after its detachment from the ear. Research on mathematical modeling and numerical calculations has been carried out for the first time [41][42][43][44]. The use of the applied beam theory and the general continuum formulation within the linear theory of the elasticity framework made it possible to determine the natural forms and frequencies of the grain crops' ears.…”

Section: Resultsmentioning

confidence: 99%

Finite Element and Applied Models of the Stem with Spike Deformation

et al. 2021

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This article examines the static and dynamic deformation of the stem of an ear of wheat and of the individual grain. The purpose of the article is to determine the factors of influence on the ear of wheat to isolate the grain. Two stages of grain ripening are considered: in the early stage, the grain is attached to the spike by the stem; in the second, there is no stem, and the grain is attached to the ear by the scales. The ear fluctuations are considered within the Euler–Bernoulli bar theory. The developed model divides the study of the dynamics of the stem of an ear and the dynamics of the grain into two stages. The first stage studies the dynamics of the plant as a whole, while the second stage studies the dynamics of an individual grain in a moving system associated with the ear in bending and vertical fluctuation forms. The model of the ear and the grain fluctuation uses the mechanical characteristics of elastic bonds and elastic bodies, which are determined by spring stiffness, elastic moduli, etc. The results show that in the vertical forms of grain fluctuation, the frequency of fluctuation is much higher than in the bending ones. This article presents the natural fluctuation frequencies of grain at full ripeness and in the early phases of maturation, at which point it is released from the ear.

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Section: Resultsmentioning

confidence: 99%

Finite Element and Applied Models of the Stem with Spike Deformation

et al. 2021

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“…This implies that the deformations or movements of self-excited intruder in granular materials are unknown and contingent upon the dynamic behaviors of the granular medium. Another crucial aspect is the inherent frequency-dependent nature of beam structures [20,21], which may exhibit more pronounced frequency-dependent characteristics when coupled with granular materials. Hence, in the study of coupled systems, the nonlinear effects associated with plastic deformation under classical loading-like memory effect [22][23][24], spatial correlation [12,25,26], and shear bands [27][28][29]-might exhibit pronounced frequency correlation.…”

Section: Introductionmentioning

confidence: 99%

Yielding and Rheology of vibrated beam-driven granular matter: Hysteresis and Memory

Hong,

Li,

zheng

et al. 2024

Preprint

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Dense granular matter has attracted significant attention due to its intricate yielding and rheological phenomena. However, unlike sheared or shaken granular systems where energy is injected at the boundaries, the yielding transition induced by vibrated beams has been rarely explored, despite its immense applications in animal and robotic locomotion on sand and underground structural engineering. In this study, we systematically vary the frequency and amplitude of beam vibration to experimentally and computationally investigate the relaxation dynamics of the granular medium. Evidence of ductile yielding behaviors with hysteresis in the frequency domain is presented. Consistency in the dynamic behaviors of both the beam and granular materials has been demonstrated. Through an analysis of mesostructural evolution, including particle motion and mechanical stability, we reveal that the hysteresis originates from anomalous diffusion induced by memory effects. A nonmonotonic constitutive law is proposed through the qualification of memory effects. This study offers insights for theoretical models of vibrated beam-driven flow, emphasizing the distinctive frequency-dependent properties through the bidirectional coupling of elastomer and granular matter.

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“…In particular, metamaterials with controllable and negative bulk modulus were demonstrated, exploiting the effect of the negative mass [10,[11][12][13]17]. A number of experimental exemplifications of the "negative mass effect" were already demonstrated [11][12][13][18][19]. Use of the plasma oscillations of the free electron gas for the realization of the negative mass effect was suggested [20][21].…”

Section: Introductionmentioning

confidence: 99%

The Effect of Negative Mass in Gravitating System<strong> </strong>

Bormashenko¹

2022

Preprint

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The effect of the negative effective mass emerging in the gravitating core-spring-shell system is considered. The effect appears when the entire system is exerted to the external harmonic force and the frequency of external force approaches to the critical frequency from above. The critical frequency depends on the density of the self-gravitating system only. The scaling law predicting the value of for condensed phases is derived. The generalization of the effect for the Coulomb-like forces is reported

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Frequency-dependent characteristics of grain-beam system: Negative mass and jump behaviour

Cited by 10 publications

References 36 publications

Finite Element and Applied Models of the Stem with Spike Deformation

Finite Element and Applied Models of the Stem with Spike Deformation

Yielding and Rheology of vibrated beam-driven granular matter: Hysteresis and Memory

The Effect of Negative Mass in Gravitating System<strong> </strong>

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