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Recently, several experiments were reported using ambient vibration surveys in buildings to estimate the modal parameters of buildings. Their modal properties are full of relevant information concerning its dynamic behaviour in its elastic…

地球物理 · 物理学 2007-09-27 Clotaire Michel , Stéphane Hans , Philippe Guéguen , Claude Boutin

We investigate the equilibrium configurations of closed planar elastic curves of fixed length, whose stiffness, also known as the bending rigidity, depends on an additional density variable. The underlying variational model relies on the…

偏微分方程分析 · 数学 2021-10-14 Katharina Brazda , Gaspard Jankowiak , Christian Schmeiser , Ulisse Stefanelli

We describe a 2D spring-block model for the transition from static to kinetic friction at an elastic slider/rigid substrate interface obeying a minimalistic friction law (Amontons-Coulomb). By using realistic boundary conditions, a number…

This work focuses on the frequency-domain modeling of a control system with a flexible beam and a rigid body. A simply supported beam is equipped with a spring-loaded control actuator and possesses local damping effect. Using Hamilton's…

最优化与控制 · 数学 2026-05-06 Alexander Zuyev , Julia Kalosha

We analyze the dynamics of a model of a nanobeam under compression. The model is a two mode truncation of the Euler-Bernoulli beam equation subject to compressive stress. We consider parameter regimes where the first mode is unstable and…

数学物理 · 物理学 2015-06-05 Peter Collins , Gregory S. Ezra , Stephen Wiggins

In recent work it was clarified that amorphous solids under strain control do not possess nonlinear elastic theory in the sense that the shear modulus exists but nonlinear moduli exhibit sample to sample fluctuations that grow without bound…

软凝聚态物质 · 物理学 2017-03-29 Vladimir Dailidonis , Valery Ilyin , Itamar Procaccia , Carmel A. B. Z. Shor

This paper is concerned with system of magnetic effected piezoelectric beams with interior time-varying delay and time-dependent weights, in which the beam is clamped at the two side points subject to a single distributed state feedback…

偏微分方程分析 · 数学 2021-02-15 Aowen Kong , Wenjun Liu , Yanning An

We evaluate the effective Hamiltonian governing, at the optically resolved scale, the elastic properties of micro-manipulated membranes. We identify floppy, entropic-tense and stretched-tense regimes, representing different behaviors of the…

软凝聚态物质 · 物理学 2009-11-07 J. -B. Fournier , A. Ajdari , L. Peliti

Many thixo-viscoelastic materials have been reported to undergo enhancement in elastic modulus with time and decrease in the same under application of deformation field. Incorporation of this feature in a viscoelastic structural kinetic…

软凝聚态物质 · 物理学 2021-12-16 Yogesh M Joshi

We propose a model for thermo-elastic beams, consistent with the theory of linear three-dimensional thermo-elasticity and deduced by a suitable version of the Principle of Virtual Powers. Dimensional reduction is achieved by postulating…

材料科学 · 物理学 2014-01-21 Antonino Favata

Alternative approach for description of the non-equilibrium phenomena arising in solids at a severe external loading is analyzed. The approach is based on the new form of kinetic equations in terms of the internal and modified free energy.…

统计力学 · 物理学 2014-08-27 L. S. Metlov

We study the motion of a 1-D closed elastic string with bending and stretching energy immersed in a 2-D Stokes flow. In this paper we introduce the curve's tangent angle function and the stretching function to describe the deferent…

偏微分方程分析 · 数学 2020-11-12 Hui Li

The presence of a dispersed phase substantially modifies small-scale turbulence. However, there has not been a comprehensive mechanistically-based understanding to predict turbulence modulation. Based on the energy flux balance, we propose…

流体动力学 · 物理学 2023-11-23 S. Balachandar , C. Peng , L. -P. Wang

A thermodynamically consistent particle-based model for fluid dynamics with continuous velocities and a non-ideal equation of state is presented. Excluded volume interactions are modeled by means of biased stochastic multiparticle…

软凝聚态物质 · 物理学 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

Tissue cells are in a state of permanent mechanical tension that is maintained mainly by myosin II minifilaments, which are bipolar assemblies of tens of myosin II molecular motors contracting actin networks and bundles. Here we introduce a…

亚细胞过程 · 定量生物学 2014-09-16 Philipp J. Albert , Thorsten Erdmann , Ulrich S. Schwarz

Photoelasticity is employed to investigate the stress state near stiff rectangular and rhombohedral inclusions embedded in a 'soft' elastic plate. Results show that the singular stress field predicted by the linear elastic solution for the…

软凝聚态物质 · 物理学 2014-04-04 Diego Misseroni , Francesco Dal Corso , Summer Shahzad , Davide Bigoni

Time-dependent density functional theory, proposed recently in the context of atomic diffusion and non-equilibrium processes in solids, is tested against Monte Carlo simulation. In order to assess the basic approximation of that theory, the…

统计力学 · 物理学 2009-11-07 M. Kessler , W. Dieterich , H. L. Frisch , J. F. Gouyet , P. Maass

The complex incremental behavior of granular materials is explored with multi-directional loading probes. An advanced discrete element model (DEM) was used to examine the reversible and irreversible strains for small loading probes, which…

软凝聚态物质 · 物理学 2018-12-20 Matthew R. Kuhn , Ali Daouadji

We consider a Kelvin-Voigt model for viscoelastic second-grade materials, where the elastic and the viscous stress tensor both satisfy frame indifference. Using a rigidity estimate by [Ciarlet-Mardare '15], existence of weak solutions is…

偏微分方程分析 · 数学 2025-02-05 Lennart Machill

We consider non-stationary localized oscillations of an infinite Bernoulli-Euler beam. The beam lies on the Winkler foundation with a point inhomogeneity (a concentrated spring with negative time-varying stiffness). In such a system with…

经典物理 · 物理学 2018-10-26 E. V. Shishkina , S. N. Gavrilov , Yu. A. Mochalova