A rate-independent internal friction to describe the hysteretic behavior of pantographic structures under cyclic loads

Ciallella, Alessandro; Pasquali, Davide; Gołaszewski, Maciej; D’Annibale, Francesco; Giorgio, Ivan

doi:10.1016/j.mechrescom.2021.103761

Cited by 51 publications

(21 citation statements)

References 49 publications

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“…It is also assumed here that the bristles are subjected to a force caused by the damping effect − ν δ ˙. 16,17 So the external stimulation Q can be constructed as: Substitute equation (12) into equation (11), the governing equation for phase-transition can be written as: The external stimulation p adopts different parameters according to different specific problems. In the steady problem, the force F can be regarded as an external stimulation p ; while in the unsteady problem, the relative velocity v can be used as an external stimulation p .…”

Section: Phenomenological Phase-transition Modelmentioning

confidence: 99%

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Differential model of friction based on bristle model and phase-transition theory

Wang

2021

Proceedings of the Institution of Mechanical Engineers, Part J:

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For high-precision position and angle control in robots, it is essential to compensate for the hysteretic behaviour caused by friction when the motion direction is reversed. An accurate friction model which is suitable for control system analysis and implementation is highly desirable. A differential model is proposed in the current paper for the modelling of hysteresis effects caused by friction phenomena. The model is constructed by employing a phenomenological phase-transition theory to mimic the friction mechanism. The bristle friction mechanism is adapted. The switching between static and dynamic friction is regarded as a reversible phase-transition phenomenon, which could be characterized by the local minima of a non-convex potential energy function. The Stribeck effect and the hysteretic relation between friction and velocity are modelled by a nonlinear ordinary differential equation. The comparison of the numerical simulation results and existing experimental friction data are presented. It is illustrated that the friction hysteresis loops are well captured, the capability of the proposed model is verified.

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Section: Phenomenological Phase-transition Modelmentioning

confidence: 99%

“…It is also assumed here that the bristles are subjected to a force caused by the damping effect −ν δ. 16,17 So the external stimulation Q can be constructed as:…”

Section: Phenomenological Phase-transition Modelmentioning

confidence: 99%

Differential model of friction based on bristle model and phase-transition theory

Wang

2021

Proceedings of the Institution of Mechanical Engineers, Part J:

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“…Energy is a directly measurable quantity and a theory based on energy is known as the variational formulation with roots over many centuries long [10,11]. In continuum mechanics, variational formulation has been suggested in different settings, in hydrodynamics [12,13], fluid-structure interactions [14,15], in multiphysics [16,17], in dynamics [18,19], in mechanics with dissipation [20,21]. In classical mechanics, invariance of action is postulated by using a L function.…”

Section: Introductionmentioning

confidence: 99%

Energy based methods applied in mechanics by using the extended Noether's formalism

Abali¹

2022

Preprint

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Physical systems are modeled by field equations, these are coupled, partial differential equations in space and time. Field equations are often given by balance equations and constitutive equations, where the former is axiomatically given and the latter is thermodynamically derived. This method has difficulties in damage mechanics in generalized continua. An alternative method to derive governing equations is based on a variational framework known as the extended N 's formalism. Albeit being very prominent, its use is less known in applied mechanics as a field theory. In this work, we demonstrate the power of extended N 's formalism by using tensor algebra and usual continuum mechanics nomenclature.

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“…Direct interactions primarily depend on fiber positions [32]. Indirect interactions, in addition, need mediators, which usually consist of hinges (or pivots), either inelastic or perfect, which restrict the kinematics of the fiber joints [33][34][35][36][37][38][39]. In this study, the role of hinges is studied in the response of fibrous metamaterials.…”

Section: Introductionmentioning

confidence: 99%

Out-of-plane deformation reduction via inelastic hinges in fibrous metamaterials and simplified damage approach

Spagnuolo

Yildizdag

Pinelli

et al. 2021

Mathematics and Mechanics of Solids

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The mechanical behavior of fibrous metamaterials is mainly determined by the interactions between the fibers composing the architecture. These interactions are usually of two different kinds: those directly depending on the positions of the fibers and those that need mediators, usually consisting of hinges, either inelastic or perfect, inducing restrictions on the kinematics of the fiber joints. In cases of interest, it has been observed that hinges can either have a certain torsional stiffness or behave as perfect joints, simply ensuring that the fibers remain interconnected, but not applying any constraint on the relative rotations between them. Here the effect of torsional stiffness of inelastic hinges is studied in two shear tests for a selected fibrous metamaterial. It is shown that the stiffness of hinges can be tailored to avoid, or at least reduce, out-of-plane deformations. Moreover, it is shown that, after reaching a threshold, permanent deformations are observed. This phenomenon is treated in a simplified way, by introducing damage in the continuum model.

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A rate-independent internal friction to describe the hysteretic behavior of pantographic structures under cyclic loads

Cited by 51 publications

References 49 publications

Differential model of friction based on bristle model and phase-transition theory

Differential model of friction based on bristle model and phase-transition theory

Energy based methods applied in mechanics by using the extended Noether's formalism

Out-of-plane deformation reduction via inelastic hinges in fibrous metamaterials and simplified damage approach

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