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A ball supported by a spring is set on top of a plate which is sinusoidal vibrated. The motion is limited to one dimension motion. It is assumed that the spring is an ideal one with zero mass. The vibrating plate is considered much heavier…

Classical Physics · Physics 2011-08-24 Sparisoma Viridi , Wahyu Srigutomo , Wahyu Hidayat , Alamta Singarimbun , Sitti Balkis

This study seeks to understand conditions under which virtual gratings produced via vibrotaction and friction modulation are perceived as similar and to find physical origins in the results. To accomplish this, we developed two single-axis…

Human-Computer Interaction · Computer Science 2021-04-01 Roman V. Grigorii , Yifei Li , Michael A. Peshkin , J. Edward Colgate

In article, the exact solution of sinusoidal loaded simply supported elastic transversally inextensible rectangular plate is given. The expressions for displacement and stress components are derived and asymptotic expansion with respect to…

General Physics · Physics 2010-07-19 Milan Batista

The motion of a thin layer of granular material on a plate undergoing sinusoidal vibrations is considered. We develop equations of motion for the local thickness and the horizontal velocity of the layer. The driving comes from the violent…

patt-sol · Physics 2009-10-31 Jens Eggers , Hermann Riecke

A novel and effective formulation that combines the eXtended IsoGeometric Approach (XIGA) and Higher-order Shear Deformation Theory (HSDT) is proposed to study the free vibration of cracked Functionally Graded Material (FGM) plates. Herein,…

Computational Engineering, Finance, and Science · Computer Science 2014-03-04 Loc V. Tran , Vinh Phu Nguyen , M. Abdel Wahab , H. Nguyen-Xuan

We discuss the propagation of surface waves in an isotropic half space modelled with the linear Cosserat theory of isotropic elastic materials. To this aim we use a method based on the algebraic analysis of the surface impedance matrix and…

Analysis of PDEs · Mathematics 2022-02-02 Hassam Khan , Ionel-Dumitrel Ghiba , Angela Madeo , Patrizio Neff

In the perspective of developing smart hybrid materials with customized features, ferrogels and magnetorheological elastomers allow a synergy of elasticity and magnetism. The interplay between elastic and magnetic properties gives rise to a…

Soft Condensed Matter · Physics 2016-10-12 Giorgio Pessot , Hartmut Löwen , Andreas M. Menzel

Using a geometrically motivated 8-parameter ansatz through the thickness, we reduce a three-dimensional shell-like geometrically nonlinear Cosserat material to a fully two-dimensional shell model. Curvature effects are fully taken into…

Analysis of PDEs · Mathematics 2019-09-30 Mircea Birsan , Ionel-Dumitrel Ghiba , Robert J. Martin , Patrizio Neff

The paper presents a constraint-based collision model for Cosserat rods, able to handle dynamic or static contact between a large number of highly flexible structures. The model provides the required collision impulses prior to updating the…

Soft Condensed Matter · Physics 2025-04-30 Bastian Löhrer , Rolf Krause , Jochen Fröhlich

The two-dimensional spectroscopy has recently revealed oscillatory behavior of excitation dynamics in molecular systems. However, in the majority of cases it is strongly debated if excitonic or vibrational wavepackets, or evidences of…

Chemical Physics · Physics 2012-11-27 Vytautas Butkus , Donatas Zigmantas , Leonas Valkunas , Darius Abramavicius

We develop the mechanics of combined bending and twisting deformation of a one-dimensional filamentous structure with protruding stiff fish-scale-like plates embedded at an angle on the surface. We develop Cosserat kinematic formulation…

Soft Condensed Matter · Physics 2022-01-19 Sanjay Dharmavaram , Hossein Ebrahimi , Ranajay Ghosh

Within periodic materials and structures, wave scattering and dispersion occur across constituent material interfaces leading to a banded frequency response. In an earlier paper, the elastodynamics of one-dimensional periodic materials and…

Materials Science · Physics 2023-12-19 M. I. Hussein , G. M. Hulbert , R. A. Scott

Deformation microstructure is studied for a 1D-shear problem in geometrically nonlinear Cosserat elasticity. Microstructure solutions are described analytically and numerically for zero characteristic length scale.

Analysis of PDEs · Mathematics 2022-09-14 Thomas Blesgen , Patrizio Neff

Dynamics of linear perturbations in a differentially rotating accretion disk with non-homogeneous vertical structure is investigated. It has been found that turbulent viscosity results in instability of both pinching oscillations, and…

Astrophysics · Physics 2007-05-23 A. V. Khoperskov , S. S. Khrapov

We study the dynamical regime of wave turbulence of a vibrated thin elastic plate based on experimental and numerical observations. We focus our study to the strongly non linear regime described in a previous letter by N. Yokoyama & M.…

Chaotic Dynamics · Physics 2015-06-16 Benjamin Miquel , Alexandros Alexakis , Christophe Josserand , Nicolas Mordant

In this paper, based on the analysis of the formula (2.2) for calculating the elastic scattering diagrams of microparticles on a multilayer crystal surface, derived by the author in the article [3], it is shown that the stochastic approach…

General Physics · Physics 2021-10-04 Mikhail Batanov-Gaukhman

The elastodynamic response of finite 3D phononic structures is analyzed by means of comparing experimental findings obtained through a laser Doppler vibrometry-based methodology and theoretical computations performed with the…

Materials Science · Physics 2019-04-24 I. K. Tragazikis , D. A. Exarchos , P. T. Dalla , K. Dassios , T. E. Matikas , I. E. Psarobas

The suppression of friction between sliding objects, modulated or enhanced by mechanical vibrations, is well established. However, the precise conditions of occurrence of these phenomena is not well understood. Here we address these…

Soft Condensed Matter · Physics 2016-09-07 Ferdinando Giacco , Eugenio Lippiello , Massimo Pica Ciamarra

Deformed droplets are ubiquitous in various industrial applications, such as inkjet printing, lab-on-a-chip devices, and spray cooling, and can fundamentally affect the involved applications both favorably and unfavorably. Here, we employ…

For objects of "large" vibration size such as waves on the sea surface, the choice of measurement method can create different understandings of system behavior. In one case, laser vibrometry measurements of a vibrating bar in a controlled…

Instrumentation and Detectors · Physics 2021-02-23 Michael C. Kobold , Michael McKinley