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The objective of this contribution is to compare two methods proposed recently in order to build efficient reduced-order models for geometrically nonlinear structures. The first method relies on the normal form theory that allows one to…

数值分析 · 数学 2022-02-22 Alessandra Vizzaccaro , Loïc Salles , Cyril Touzé

In this work, we present an efficient numerical implementation of the finite element method for modal analysis that leverages various symmetry operations, including spatial symmetry in point groups and space-time symmetry in…

光学 · 物理学 2024-09-12 Jingwei Wang , Lida Liu , Yuhao Jing , Zhongfei Xiong , Yuntian Chen

The minimalist approach in the study of perturbations in fluid dynamics and magnetohydrodynamics involves describing their evolution in the linear regime using a single first-order ordinary differential equation, dubbed principal equation.…

流体动力学 · 物理学 2025-02-18 Nektarios Vlahakis

We present a simple and \emph{non-invasive} experimental procedure to measure the linear viscoelastic properties of cells by passive video particle tracking microrheology. In order to do this, a generalised Langevin equation is adopted to…

Traditional free vibration-based forward models generate theoretical dispersion curves under the assumption of planar waves, neglecting the influence of the actual source-receiver configuration. While 2D/3D numerical wavefield modeling…

地球物理 · 物理学 2024-02-02 Mrinal Bhaumik , Tarun Naskar

Damping is defined through various terms such as energy loss per cycle (for cyclic tests), logarithmic decrement (for vibration tests), complex modulus, rise-time or spectrum ratio (for wave propagation analysis), etc. For numerical…

经典物理 · 物理学 2009-01-26 Jean-François Semblat

In this paper we use the parameterization method to provide a complete description of the dynamics of an $n$-dimensional oscillator beyond the classical phase reduction. The parameterization method allows, via efficient algorithms, to…

动力系统 · 数学 2021-01-22 Alberto Pérez-Cervera , Tere M. Seara , Gemma Huguet

In electrical engineering, for example during the design of superconducting radio-frequency cavities, eigenmodes must be identified based on their field patterns. This allows to understand the working principle, optimize the performance of…

计算工程、金融与科学 · 计算机科学 2023-05-17 Anna Ziegler , Niklas Georg , Wolfgang Ackermann , Sebastian Schöps

In this paper, we show that a general method introduced by Fu and Mielke allows to give a complete answer on the existence and uniqueness of a subsonic solution describing the propagation of surface waves in an isotropic half space modelled…

偏微分方程分析 · 数学 2023-09-29 Emilian Bulgariu , Ionel-Dumitrel Ghiba , Hassam Khan , Patrizio Neff

When averaged over sources or disorder, cross-correlation of diffuse fields yield the Green's function between two passive sensors. This technique is applied to elastic ultrasonic waves in an open scattering slab mimicking seismic waves in…

其他凝聚态物理 · 物理学 2009-11-13 Eric Larose , Arnaud Derode , Dominique Clorennec , Ludovic Margerin , Michel Campillo

The [ISO 1101] standard specifies the form errors with geometrical tolerances using the zone concept.To complete this concept, we present a generic method which adapts to any geometry and allows to describe any kind of errors. Thus,we can…

其他计算机科学 · 计算机科学 2010-02-02 Hugues Favreliere , Serge Samper , Pierre-Antoine Adragna

Sensitivity methods for the analysis of the outputs of discrete Bayesian networks have been extensively studied and implemented in different software packages. These methods usually focus on the study of sensitivity functions and on the…

人工智能 · 计算机科学 2016-07-05 Manuele Leonelli , Christiane Görgen , Jim Q. Smith

Bayesian inference of gravitational wave signals is subject to systematic error due to modelling uncertainty in waveform signal models, coined approximants. A growing collection of approximants are available which use different approaches…

广义相对论与量子宇宙学 · 物理学 2020-03-25 Gregory Ashton , Sebastian Khan

Seismic inversion refers to the process of estimating reservoir rock properties from seismic reflection data. Conventional and machine learning-based inversion workflows usually work in a trace-by-trace fashion on seismic data, utilizing…

图像与视频处理 · 电气工程与系统科学 2020-06-30 Ahmad Mustafa , Motaz Alfarraj , Ghassan AlRegib

Surface acoustic waves are commonly used in a variety of radio-frequency electrical devices as a result of their operation at high frequencies and robust nature. For devices based on Rayleigh-like plane waves, functionality is based on the…

应用物理 · 物理学 2024-11-05 Karanpreet Singh , Gabe Wilson , James A. H. Stotz

Let a measurement consist of a linear combination of damped complex exponential modes, plus noise. The problem is to estimate the parameters of these modes, as in line spectrum estimation, vibration analysis, speech processing, system…

信息论 · 计算机科学 2016-05-04 Pooria Pakrooh , Louis L. Scharf , Ali Pezeshki

The Generalised Langevin Equation (GLE) method, as developed in Ref. [Phys. Rev. B 89, 134303 (2014)], is used to calculate the dissipative dynamics of systems described at the atomic level. The GLE scheme goes beyond the commonly used…

统计力学 · 物理学 2015-01-06 H. Ness , L. Stella , C. D. Lorenz , L. Kantorovich

We present the applications of methods from nonlinear local harmonic analysis for calculations in nonlinear collective dynamics described by different forms of Vlasov-Maxwell-Poisson equations. Our approach is based on methods provided the…

加速器物理 · 物理学 2008-11-26 Antonina N. Fedorova , Michael G. Zeitlin

We apply variational-wavelet approach for constructing multiscale high-localized eigenmodes expansions in different models of nonlinear waves. We demonstrate appearance of coherent localized structures and stable pattern formation in…

斑图形成与孤子 · 物理学 2007-05-23 Antonina N. Fedorova , Michael G. Zeitlin

This paper introduces variational design methods that are novel to Geophysics, and discusses their benefits and limitations in the context of geophysical applications and more established design methods. Variational methods rely on…

地球物理 · 物理学 2024-01-24 Dominik Strutz , Andrew Curtis