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Related papers: Analysis of Nonlinear Soil-Structure Interaction E…

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We extend linear input/output (resolvent) analysis to take into account nonlinear triadic interactions by considering a finite number of harmonics in the frequency domain using the harmonic balance method. Forcing mechanisms that maximize…

Fluid Dynamics · Physics 2021-02-24 Georgios Rigas , Denis Sipp , Tim Colonius

The scope of the paper is to present some aspects of the development of a "macro-element" for dynamic soil-structure interaction analyses of shallow foundations. Initially the concept of "macro-element" is introduced and is illustrated with…

Geophysics · Physics 2008-12-18 Charisis Chatzigogos , Alain Pecker , Jean Salençon

We present three complementary methods to study stationary nonlinear solutions in one-dimensional nonlinear metal-dielectric structures. Two of them use an approximate treatment of the Kerr type nonlinear term taking into account only the…

Optics · Physics 2014-02-19 Wiktor Walasik , Gilles Renversez , Yaroslav Kartashov

A method is proposed to solve the challenging problem of determining the supratransmission threshold (onset of instability of harmonic boundary driving inside a band gap) in multicomponent nonintegrable nonlinear systems. It is successfully…

Pattern Formation and Solitons · Physics 2010-08-12 P. Anghel-Vasilescu , J. Dorignac , F. Geniet , J. Leon , M. Taki

Triangular systems with nonadditively separable unobserved heterogeneity provide a theoretically appealing framework for the modelling of complex structural relationships. However, they are not commonly used in practice due to the need for…

Econometrics · Economics 2019-10-08 Victor Chernozhukov , Iván Fernández-Val , Whitney Newey , Sami Stouli , Francis Vella

The motion of three-dimensional (3D) solitary waves and solitons in nonlinear crystal-like structures, such as photonic materials, is studied. It is demonstrated that collective excitations in these systems can be tailored to move in…

Pattern Formation and Solitons · Physics 2015-05-14 E. Arevalo

This paper investigates the nonlinear dynamics of stepping flexible frames under seismic excitation. The conventional iterative method of solution of peak quasi-dynamic displacement of stepping frames is not guaranteed to converge. To…

Geophysics · Physics 2025-05-13 Arzhang Alimoradi , James L. Beck

The nonlinear mechanical responses of rocks and soils to seismic waves play an important role in earthquake physics, influencing ground motion from source to site. Continuous geophysical monitoring, such as ambient noise interferometry, has…

Dynamic response evaluation in structural engineering is the process of determining the response of a structure, such as member forces, node displacements, etc when subjected to dynamic loads such as earthquakes, wind, or impact. This is an…

Machine Learning · Computer Science 2023-08-21 Faisal Nissar Malik , James Ricles , Masoud Yari , Malik Arsala Nissar

In this paper a composite model for earthquake rupture initiation and propagation is proposed. The model includes aspects of damage mechanics, fiber-bundle models, and slider-block models. An array of elements is introduced in analogy to…

Geophysics · Physics 2010-07-14 G. Yakovlev , J. D. Gran , D. L. Turcotte , J. B. Rundle , W. Klein

The impact of lossy multi-layer structures on nonequilibrium atom-surface interactions is discussed. Specifically, the focus lies on a fully non-Markovian and nonequilibrium description of quantum friction, the fluctuation-induced drag…

Mesoscale and Nanoscale Physics · Physics 2018-06-27 Marty Oelschläger , Kurt Busch , Francesco Intravaia

Structured soils with regular meshes of metric size holes implemented in first ten meters of the ground have been theoretically and experimentally tested under seismic disturbance this last decade. Structured soils with rigid inclusions…

Geophysics · Physics 2018-09-18 Stephane Brule , Stefan Enoch , Sebastien Guenneau

We describe novel physics of nonlinear magnetoinductive waves in left-handed composite metamaterials. We derive the coupled equations for describing the propagation of magnetoinductive waves, and show that in the nonlinear regime the…

Materials Science · Physics 2007-05-23 Ilya V. Shadrivov , Alexander A. Zharov , Nina A. Zharova , Yuri S. Kivshar

In this work, we study seismic wave amplification in alluvial basins having 3D standard geometries through the Fast Multipole Boundary Element Method in the frequency domain. We investigate how much 3D amplification differs from the 1D…

We study the dynamics of solitary waves traveling in a one-dimensional chain of bistable elements in the presence of a local inhomogeneity (defect). Numerical simulations reveal that depending upon its initial speed, an incoming solitary…

Chaotic Dynamics · Physics 2022-11-23 Mohammed A. Mohammed , Piyush Grover

We consider the one-dimensional propagation of electromagnetic waves in a weakly nonlinear and low-contrast spatially inhomogeneous medium with no energy dissipation. We focus on the case of a periodic medium, in which dispersion enters…

Pattern Formation and Solitons · Physics 2010-11-19 Gideon Simpson , Michael I. Weinstein

A framework is described for estimating Linear growth rates and spectral energy transfers in turbulent wave-fields using two-point measurements. This approach, which is based on Volterra series, is applied to dual satellite data gathered in…

Space Physics · Physics 2007-05-23 T. Dudok de Wit , V. V. Krasnosel'skikh , M. Dunlop , H. Luehr

We develop a weakly nonlinear model to study the spatiotemporal manifestation and the dynamical behavior of surface waves in the presence of an underlying interfacial solitary wave in a two-layer fluid system. We show that interfacial…

Pattern Formation and Solitons · Physics 2019-07-29 Shixiao W. Jiang , Gregor Kovačič , Douglas Zhou

The wave turbulence framework has proven to be an effective tool for analyzing certain features of nonlinear energy transfer in one-dimensional nonlinear chains. In this work, we extend this approach to the $\alpha$-FPUT problem when the…

Statistical Mechanics · Physics 2026-05-26 Lorenzo Migliorelli , Giovanni Dematteis , Sergio Chibbaro , Miguel Onorato

In this letter, we provide an experimental demonstration of amplitude-dependent dispersion tuning of surface acoustic waves interacting with nonlinear resonators. Leveraging the similarity between the dispersion properties of plate edge…

Applied Physics · Physics 2023-09-06 Setare Hajarolasvadi , Paolo Celli , Brian L. Kim , Ahmed E. Elbanna , Chiara Daraio