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In order to investigate the evolutionary process of many deterministic Dynamical systems with unfixed parameter, a set of dynamical models with parameter changing continuously and the accumulation of this change might be large is introduced…

comp-gas · 物理学 2008-02-03 H. P. Fang

Planning accurate manipulation for deformable objects requires prediction of their state. The prediction is often complicated by a loss of stability that may result in collapse of the deformable object. In this work, stability of a fabric…

机器人学 · 计算机科学 2019-03-01 Vladimír Petrík , Vladimír Smutný , Ville Kyrki

We revisit the classic stability problem of the buckling of an inextensible, axially compressed beam on a nonlinear elastic foundation with a semi-analytical approach to understand how spatially localized deformation solutions emerge in…

斑图形成与孤子 · 物理学 2020-09-03 Shrinidhi S. Pandurangi , Ryan S. Elliott , Timothy J. Healey , Nicolas Triantafyllidis

Interactions between an internal flow and wall deformation occur in many biological systems. Such interactions can involve a complex and rich dynamical behavior and a number of peculiarities which depend on the flow parameter range. The aim…

流体动力学 · 物理学 2019-03-11 Mustapha Amaouche , Giuseppe Di Labbio

We consider a beam model representing the transverse deflections of a one dimensional elastic structure immersed in an axial fluid flow. The model includes a nonlinear elastic restoring force, with damping and non-conservative terms…

偏微分方程分析 · 数学 2019-04-22 Jason Howell , Katelynn Huneycutt , Justin T. Webster , Spencer Wilder

Deformations of heavy elastic cylinders with their axis in the direction of earth's gravity field are investigated. The specimens, made of polyacrylamide hydrogels, are attached from their top circular cross section to a rigid plate. An…

软凝聚态物质 · 物理学 2019-06-10 Serge Mora , Edward Ando , Jean-Marc Fromental , Ty Phou , Yves Pomeau

This paper describes a method for steering deformable linear objects using two robot hands in environments populated by sparsely spaced obstacles. The approach involves manipulating an elastic inextensible rod by varying the gripping…

机器人学 · 计算机科学 2025-02-12 Aharon Levin , Itay Grinberg , Elon Rimon , Amir Shapiro

The properties of a hinged floating elastic sheet of finite length under compression are considered. Numerical continuation is used to compute spatially localized buckled states with many spatially localized folds. Both symmetric and…

斑图形成与孤子 · 物理学 2019-04-24 Leonardo Gordillo , Edgar Knobloch

Numerically simulating deformations in thin elastic sheets is a challenging problem in computational mechanics due to destabilizing compressive stresses that result in wrinkling. Determining the location, structure, and evolution of…

材料科学 · 物理学 2014-11-26 Michael Taylor , Benny Davidovitch , Zhanlong Qiu , Katia Bertoldi

In this paper we consider a mathematical model which describes the equilibrium of two elastic rods attached to a nonlinear spring. We derive the variational formulation of the model which is in the form of an elliptic quasivariational…

数值分析 · 数学 2023-09-11 Anna Ochal , Wiktor Prządka , Mircea Sofonea , Domingo A. Tarzia

Continuum arms, such as trunk and tentacle robots, lie between the two extremities of rigid and soft robots and promise to capture the best of both worlds in terms of manipulability, dexterity, and compliance. This paper proposes a new…

机器人学 · 计算机科学 2019-07-16 Ali A. Nazari , Diego Castro , Isuru S. Godage

The response to a localized force provides a sensitive test for different models of stress transmission in granular solids. The elasto-plastic models traditionally used by engineers have been challenged by theoretical and experimental…

软凝聚态物质 · 物理学 2009-11-13 C. Goldenberg , I. Goldhirsch

Random packings of stiff rods are self-supporting mechanical structures stabilized by long range interactions induced by contacts. To understand the geometrical and topological complexity of the packings, we first deploy X-ray computerized…

软凝聚态物质 · 物理学 2024-09-24 Yeonsu Jung , Thomas Plumb-Reyes , Hao-Yu Greg Lin , L. Mahadevan

Soft materials, such as liquids, polymers, foams, gels, colloids, granular materials, and most soft biological materials, play an important role in our daily lives. From a mechanical viewpoint, soft materials can easily achieve large…

软凝聚态物质 · 物理学 2022-12-16 Shengyou Yang , Pradeep Sharma

Linear stability analysis of an elastically anchored wing in a uniform flow is investigated both analytically and numerically. The analytical formulation explicitly takes into account the effect of the wake on the wing by means of…

流体动力学 · 物理学 2012-02-27 A. Orchini , A. Mazzino , J. Guerrero , R. Festa , C. Boragno

While rigid robots are extensively used in various applications, they are limited in the tasks they can perform and can be unsafe in close human-robot interactions. Soft robots on the other hand surpass the capabilities of rigid robots in…

机器人学 · 计算机科学 2021-12-28 Soheil Habibian

We study a class of elastic systems described by a (hyperbolic) partial differential equation. Our working example is the equation of a vibrating string subject to linear disturbance. The main goal is to establish conditions for…

偏微分方程分析 · 数学 2007-05-23 M. I. Caiado , A. V. Sarychev

We show that the open-loop transfer functions and the stability margins may be defined within the recent model-free control setting. Several convincing computer experiments are presented including one which studies the robustness with…

最优化与控制 · 数学 2014-03-27 Michel Fliess , Cédric Join

Wrinkles are often observed on the surfaces of compressed soft materials in nature. In the past few decades, the fascinating surface patterns have been studied extensively by using the linear bifurcation analysis under plane strain. The…

软凝聚态物质 · 物理学 2018-03-13 Shengyou Yang

Instability patterns of rolling up a sleeve appear more intricate than the ones of walking over a rug on floor, both characterized as uniaxially compressed soft-film/stiff-substrate systems. This can be explained by curvature effects. To…

软凝聚态物质 · 物理学 2018-05-28 Yifan Yang , Hui-Hui Dai , Fan Xu , Michel Potier-Ferry