The dynamic excitation of a granular chain: Contact mechanics finite element analysis and experimental validation

Gélat, Pierre; Yang, Jie; Akanji, Omololu; Thomas, Peter J.; Hutchins, David A.; Harput, Sevan; Freear, Steven; Saffari, Nader

doi:10.1121/1.4983466

Cited by 6 publications

(5 citation statements)

References 26 publications

(50 reference statements)

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“…Berdasarkan reaksi diatas, logam emas larut dalam ion sianda, membentuk anion kopleks 4Na[Au(CN) 2(l) . Larutan emas ini selanjutnya diadsorbsi menggunakan adsorbent karbon aktif atau granular resin (195)(196)(197)(198)(199)(200) anion yang bisa dipisahkan dari lumpur melalui proses penyarigan partikel kasar . Disamping NaCN dan KCN, ion kompleks heksasianoferaat III juga bisa digunakan sebagai oksidator dan pelarut emas dalam proses sianidasi.…”

Section: Ch 4 + 2 Nh 3 + 3 O 2 → 2hcn + H 2 Ounclassified

“…(2) Kation (97; 173; 183-185) bereaksi dengan percepatan menuju elektroda (186) negatif dan anion (97; 149; 183; 187; 188) bereaksi dengan percepatan menuju elektroda positif. Akan tetapi,saat ion bergerak melalui pelarut (189)(190)(191) maka ion akan mengalami gaya gesekan (192)(193)(194)(195)(196) memperlambat muatan (197) yang setara dengan kecepatannya.dan jika dianalogikan hukumStokes (198)(199)(200)(201)(202) untuk bola radius (179; 203-206) a dan s berlaku pada skala mikroskopis,maka kita dapat menuliskan gaya perlambatan (207)(208)(209)(210)(211) ini dibawah ini: F = fs f = 6πηα…”

Section: ∆∅unclassified

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Analisis Molekular dan Karakteristik Hidrogen Sianida (HCN)

Husna¹,

Zainul²

2019

Preprint

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Hidrogen sianida dalam air membentuk asam lemah bersifat toksik. Tujuan review ini untuk menganalisis molekular dan transpor elektron hidrogen sianida. Metode yang digunakan adalah penggambaran molekul dengan aplikasi Chem Office versi 15.0 , untuk mengetahui transpor ion asam sianida yaitu dengan parameter konduktivitas, viskositas, mobilitas ion, dan gerakan hanyut.Hasil yang didapat yaitu struktur molekul asam sianida pada analisis molekuler 2D, dan bentuk molekul asam sianida dalam 3D. Berdasarkan metode ini diperoleh energi kinetik rotasi senyawa 2,0466 kcal/mol,. Untuk konduktivitas, kecepatan hanyut, gerakan ion,dilakukan dengan menggunakan metode perhitungan dengan rumusan hasilnyadan beberapa soal yang dibuatkan grafiknya Analisis jari-jari atom hidrogen dengan carbon pada Chemdraw 3D didapatkan sebesar 1,1 A, dan jari jari atom carbon dengan nitrogen masing-masingnya sebesar 1,1 A. Data yang didapat pada Analisa MM2 dynamics HCN adalah interaction time 0.024 , 0.026, 0.028, 0.030, total energy 0.048, 0.082, potensial energy 0.38, 0.045, 0.016, 0.091.sifat dari asam sianida diantaranya massa molar 27,03 g/mol, densitas 0,687g/mL, viskositas : 201 μPa s. Sifat termodinamika hidrogen sianida adalah ∆G (enegi gibs) 143,1 kj/mol entropi (∆S) 113,01 J/kmol , entalpi pembentukan standar (∆fH) -141,2 kJ/mol , entalpi pembakaran standar (∆cH) 426,5 kJ/mol dan kecepatan hanyut yang didapat berdasarkan perhitungan sebesar 2,33 V/cm.

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Section: Ch 4 + 2 Nh 3 + 3 O 2 → 2hcn + H 2 Ounclassified

Section: ∆∅unclassified

Analisis Molekular dan Karakteristik Hidrogen Sianida (HCN)

Husna¹,

Zainul²

2019

Preprint

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“…While the granular material is weakly compressed, the wave equation for a "Sonic Vacuum" chain was derived by Nesterenko [6] and shown in Eq. (2). The strongly nonlinear solitary waves are presented as a main form in the analytical solution.…”

Section: The Theory and Mathematical Formulasmentioning

confidence: 99%

“…Acoustic wave propagation along one-dimensional granular media has been the subject of increased interest in recent years [1][2][3][4][5], due to their rich properties caused by Hertzian contact between the particles and the applied static precompression force, and this allows the system to access near linear, weakly nonlinear and strongly nonlinear dynamics. In the first attempt of Nesterenko in this field, the strongly nonlinear solitary waves corresponding to negligible precompression force were predicted in an analytical solution [6].…”

Section: Introductionmentioning

confidence: 99%

Periodic Solitary Wave Impulses in Finite-Length Granular Chains

Yang¹,

Wang²,

Dai³

2017

dtcse

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The acoustic wave propagation in a chain of spheres was predicted based on the discrete dynamic equations of spheres. Generation of the strongly nonlinear solitary wave impulses with a harmonic input has been investigated in simulations. The size of spheres, the material properties of chain structure as well as the length of chain determine the intrinsic dynamics of the granular system and frequency bands. The forced responses of a chain under harmonic excitation with a given frequency reveal that the broad bandwidth solitary wave impulses with different periods can be created in a certain length chain with no or a small precompression force. The results exhibit great potential in biomedical ultrasound and NDT applications.

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“…A granular chain is a linear arrangement of hard spheres [32], similar to a necklace. Their equilibrium [33][34][35] transport [36][37][38][39][40][41][42] and diffusion [43] properties provide insights into the physics of polymers [44] and biological macromolecules [45,46]. Decoration and tapering [47,48], interfaces [49,50], impurities [51][52][53], disorder and quasiperiodicity [51][52][53][54] are also of interest.…”

mentioning

confidence: 99%

Depletion force between disordered linear macromolecules

Rupprecht

Vural

2020

Phys. Rev. E

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When two macromolecules come very near in a fluid, the molecules that surround them, having finite volume, are less likely to get in between. This leads to a pressure difference manifesting as an entropic attraction, called depletion force. Here we calculate the density profile of liquid molecules surrounding a disordered linear macromolecule, and analytically determine the position dependence of the depletion force between two such molecules. We then verify our formulas with realistic molecular dynamics simulations. Our result can be regarded as an extension of the classical Asakura-Oosawa formula.Objects immersed or dissolved in a liquid will experience an emergent attractive force, as the liquid molecules, having finite volume, cannot squeeze between them [1]. Put another way, it is entropically favorable for the objects to be close, since each have surrounding volumes unavailable to the liquid molecules; and when objects approach to the extent that these volumes overlap, the molecules have more volume to explore [2,3]. Thus objects are more likely to be near each other, as if they attract. This entropic force is called "depletion".Since the seminal papers of Asakura and Oosawa, depletion forces has had far reaching implications from molecular physics [4][5][6][7][8] and biochemistry [9][10][11], to high energy physics [12][13][14][15][16]. It has even been suggested that gravity [17][18][19][20] and the Coulomb force [21] might stem from depletion. So far, depletion forces between plates immersed in rods [22,23] or spherocylinders [24], forces between colloids [25], semiflexible chains [26], spherocylinders [27], and ellipsoids [28,29] immersed in colloids, and forces between colloids immersed in polymer [30] have been established. Forces mediated by mixtures of two types of particles have also been studied [31].While depletion forces always originate from disordered arrangements of a solvent, the objects experiencing the force themselves have always been chosen by authors to be orderly geometric shapes, such as planes, cylinders and spheres. In this work, we study for the first time, the depletion forces between two disordered objects. We analytically derive the depletion force between two linear disordered macromolecules.Specifically, we first solve for the depleted liquid density profile surrounding a disordered granular chain, then calculate the free energy and associated entropic force between two such chains, and lastly, we verify both results with realistic molecular dynamics simulations.A granular chain is a linear arrangement of hard spheres [32], similar to a necklace. Their equilibrium [33-35] transport [36-42] and diffusion [43] properties provide insights into the physics of polymers [44] and biological macromolecules [45,46]. Decoration and tapering [47,48], interfaces [49,50], impurities [51][52][53], disorder and quasiperiodicity [51][52][53][54] are also of interest.

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The dynamic excitation of a granular chain: Contact mechanics finite element analysis and experimental validation

Cited by 6 publications

References 26 publications

Analisis Molekular dan Karakteristik Hidrogen Sianida (HCN)

Analisis Molekular dan Karakteristik Hidrogen Sianida (HCN)

Periodic Solitary Wave Impulses in Finite-Length Granular Chains

Depletion force between disordered linear macromolecules

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