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We quantize the elastic modes in a plate. For this, we find a complete, orthogonal set of eigenfunctions of the elastic equations and we normalize them. These are the phonon modes in the plate and their specific forms and dispersion…

Materials Science · Physics 2007-10-03 T. Kühn , D. V. Anghel

Recent numerical and theoretical considerations have shown that low-degree acoustic modes in rapidly rotating stars follow an asymptotic formula and recent observations of pulsations in rapidly rotating delta Scuti stars seem to match these…

Solar and Stellar Astrophysics · Physics 2021-01-06 D. R. Reese , G. M. Mirouh , F. Espinosa Lara , M. Rieutord , B. Putigny

We report numerical simulations of strongly vibrated granular materials designed to mimic recent experiments performed both in presence [1] or absence [2] of gravity. We show that a model with impact velocity dependent restitution…

Statistical Mechanics · Physics 2015-06-24 Sean McNamara , Eric Falcon

We study a layer of grains atop a plate which oscillates sinusoidally in the direction of gravity, using three-dimensional, time-dependent numerical solutions of continuum equations to Navier-Stokes order as well as hard-sphere molecular…

Soft Condensed Matter · Physics 2012-08-21 J. Bougie , Veronica Policht , Jennifer Kreft Pearce

This paper proposes an efficient semi-analytical method using auxiliary sine series for transverse vibration and sound radiation of a thin rectangular plate with edges elastically restrained against translation and rotation. The…

Applied Physics · Physics 2024-09-17 Guoming Deng , Xian Wu , Changxiao Shao , Songlin Zheng , Jianwang Shao

In this study the dynamic behaviour of perforated microplates oscillating under the effect of squeeze film damping is analyzed. A numerical approach is adopted to predict the effects of damping and stiffness transferred from the surrounding…

Other Computer Science · Computer Science 2008-02-22 A. Soma , G. De Pasquale

In this research, the AED was modeled with the Ansys 2020 workbench and calibrated based on static and dynamic loading to verify the static displacement with the first set of five frequencies obtained based on the un-prestressed conditions.…

Numerical Analysis · Mathematics 2023-09-27 Saidi Olayinka Olalere

We propose a monolithic Eulerian variational formulation in non-classical sense of continuum description for the analysis of micro-viscosity parameters at micro-structural level. In this respect, Cosesrat fluid-structure interaction CFSI…

Numerical Analysis · Mathematics 2022-03-31 Nazim Hussain , Muhammad Sabeel Khan , Lisheng Liu

We report numerical simulations of strongly vibrated granular materials designed to mimic recent experiments performed both in presence or absence of gravity. The coefficient of restitution used here depends on the impact velocity by taking…

Other Condensed Matter · Physics 2007-05-23 Sean Mcnamara , Eric Falcon

The finite element analysis of high frequency vibrations of quartz crystal plates is a necessary process required in the design of quartz crystal resonators of precision types for applications in filters and sensors. The anisotropic…

Computational Physics · Physics 2015-09-21 Ji Wang , Lihong Wang , Qiang Sun , Rongxing Wu , Bin Huang , Jianke Du , Wei Xiang

We construct two-dimensional steady periodic hydroelastic waves with vorticity that propagate on water of finite depth under a deformable floating elastic plate which is modeled by using the special Cosserat theory of hyperelastic shells…

Analysis of PDEs · Mathematics 2024-02-07 Bogdan-Vasile Matioc , Emilian Parau

A method for the calculation of elastic constants in the NVT ensamble, using molecular dynamics (MD) simulation with a realistic many-body embedded-atom-model (EAM) potential, is studied in detail. It is shown that in such NVT MD…

Materials Science · Physics 2021-06-30 Menahem Krief , Yinon Ashkenazy

The focus of the article is on the analysis of effective elastic properties of planar Solid Oxide Fuell Cell (SOFC) devices. An ideal periodic multi-layered composite (SOFC-like) reproducing the overall properties of multi-layer SOFC…

Materials Science · Physics 2014-04-30 A. Bacigalupo , L. Morini , A. Piccolroaz

As the amount of asteroseismic data available continues to grow, the inability to accurately model observed oscillation frequencies is becoming a critical problem for interpreting these frequencies. A major component of this problem is the…

Solar and Stellar Astrophysics · Physics 2020-07-01 J. Schou , A. C. Birch

A new approach, based on the analysis of a spectral problem for a discrete gyroscopic system, to modelling earthquakes on a rotating planet is presented in this paper. The eigenmodes of gyroscopic three-dimensional icosahedron-dodecahedron…

We use molecular dynamics to study the vibrations of a thermally fluctuating two-dimensional elastic membrane clamped at both ends. We directly extract the eigenmodes from resonant peaks in the frequency domain of the time-dependent height…

Soft Condensed Matter · Physics 2017-07-19 Duanduan Wan , David R. Nelson , Mark J. Bowick

We report on a laser generated and detected surface acoustic wave method for evaluating the elastic constants of micro-crystals composing polycrystalline steel. The method is based on the measurement of surface wave velocities in many…

The flow behaviors of polymer melt composed of short chains with ten beads between parallel plates are simulated by using a hybrid method of molecular dynamics and computational fluid dynamics. Three problems are solved: creep motion under…

Soft Condensed Matter · Physics 2014-01-20 Shugo Yasuda , Ryoichi Yamamoto

This study is devoted to a detailed numerical testing of the analytical results obtained recently for the $M_t$-scaling of the parameters of the Bose-Einstein correlation functions. Numerical testing of analytical results for the spectrum…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Csorgo , P. Levai , B. Lorstad

This study examines the feasibility of the full-field ultrasonic characterization of fractures in rock. To this end, a slab-like specimen of granite is subjected to in-plane, O(10$^4$Hz) excitation while monitoring the induced 2D wavefield…

Geophysics · Physics 2017-11-21 Fatemeh Pourahmadian , Bojan B. Guzina