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Fine scale elastic structures are widespread in nature, for instances in plants or bones, whenever stiffness and low weight are required. These patterns frequently refine towards a Dirichlet boundary to ensure an effective load transfer.…

Numerical Analysis · Mathematics 2017-11-13 Nora Lüthen , Martin Rumpf , Sascha Tölkes , Orestis Vantzos

This paper presents a method for the optimization of multi-component structures comprised of two and three materials considering large motion sliding contact and separation along interfaces. The structural geometry is defined by an explicit…

Optimization and Control · Mathematics 2017-01-24 Matthew Lawry , Kurt Maute

Inspired by the Melan equation we propose a model for suspension bridges with two cables linked to a deck, through inextensible hangers. We write the energy of the system and we derive from variational principles two nonlinear and nonlocal…

Dynamical Systems · Mathematics 2018-07-20 Alessio Falocchi

In this paper a mixed spectral element formulation is presented for planar, linear elasticity. The degrees of freedom for the stress are integrated traction components, i.e. surface force components. As a result the tractions between…

Numerical Analysis · Mathematics 2018-03-06 K. Olesen , B. Gervang , J. N. Reddy , M. Gerritsma

We study the energetics and stability of branched tubular membrane structures by computer simulations of a triangulated network model. We find that triple (Y-)junctions can be created and stabilized by applying mechanical forces, if the…

Biological Physics · Physics 2024-01-17 Maike Jung , Gerhard Jung , Friederike Schmid

Stochastic geometry provides a powerful framework for modelling complex random structures, with applications in physics, materials science, biology, and other fields. The three-dimensional microstructure of polycrystalline materials is…

Mathematical Physics · Physics 2025-07-22 Oleksandr Kornijčuk , Luděk Heller , Zbyněk Pawlas , Viktor Beneš

Based on the idea of variable stiffness mechanisms, a variety of such mechanisms is shown in this work. Specifically, 2-DOF parallel kinematic machines equipped with redundant actuators and non-linear springs in the actuated joints are…

Robotics · Computer Science 2020-07-28 Christoph Stoeffler , Shivesh Kumar , Andreas Müller

The minimum spanning tree (MST) construction is a classical problem in Distributed Computing for creating a globally minimized structure distributedly. Self-stabilization is versatile technique for forward recovery that permits to handle…

Data Structures and Algorithms · Computer Science 2016-11-25 Lélia Blin , Maria Gradinariu Potop-Butucaru , Stephane Rovedakis , Sébastien Tixeuil

The paper presents a new stiffness modelling method for multi-chain parallel robotic manipulators with flexible links and compliant actuating joints. In contrast to other works, the method involves a FEA-based link stiffness evaluation and…

Robotics · Computer Science 2008-10-07 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

The stability of the multiple equilibrium states of a hexagram ring with six curved sides is investigated. Each of the six segments is a rod having the same length and uniform natural curvature. These rods are bent uniformly in the plane of…

Applied Physics · Physics 2025-01-28 Lu Lu , Jize Dai , Sophie Leanza , Ruike Renee Zhao , John W. Hutchinson

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…

Numerical Analysis · Mathematics 2023-09-11 Anna Ochal , Wiktor Prządka , Mircea Sofonea , Domingo A. Tarzia

Modeling of multidimensional signal using tensor is more convincing than representing it as a collection of matrices. The tensor based approaches can explore the abundant spatial and temporal structures of the mutlidimensional signal. The…

Signal Processing · Electrical Eng. & Systems 2019-12-10 Baburaj Madathil , Sameera V Mohd Sagheer , Abdu Rahiman , Anju Jose Tom , Baiju P S , Jobin Francis , Sudhish N. George

Materials with J-shaped stress-strain behavior under uniaxial stretching, where strength increases as deformation progresses, have been developed through various materials designs. On the other hand, polymer materials that progressively…

Soft Condensed Matter · Physics 2024-11-08 Rikima Kuwada , Shuto Ito , Yuta Shimoda , Haruka Fukunishi , Ryota Onishi , Daisuke Ishii , Mikihiro Hayashi

The paper presents a new stiffness modelling method for multi-chain parallel robotic manipulators with flexible links and compliant actuating joints. In contrast to other works, the method involves a FEA-based link stiffness evaluation and…

Robotics · Computer Science 2009-09-23 Anatoly Pashkevich , Alexandr Klimchik , Damien Chablat , Philippe Wenger

Tensor networks provide an efficient approximation of operations involving high dimensional tensors and have been extensively used in modelling quantum many-body systems. More recently, supervised learning has been attempted with tensor…

Computer Vision and Pattern Recognition · Computer Science 2021-07-02 Raghavendra Selvan , Erik B Dam , Jens Petersen

This paper investigates the use of the most fundamental elements; cables for tension and bars for compression, in the search for the most efficient bridges. Stable arrangements of these elements are called tensegrity structures. We show…

Materials Science · Physics 2014-12-18 Gerardo Carpentieri , Robert E. Skelton , Fernando Fraternali

This paper is concerned with the approximation of high-dimensional functions in a statistical learning setting, by empirical risk minimization over model classes of functions in tree-based tensor format. These are particular classes of…

Machine Learning · Statistics 2019-01-15 Erwan Grelier , Anthony Nouy , Mathilde Chevreuil

We consider a mixed formulation of parametrized elasticity problems in terms of stress, displacement, and rotation. The latter two variables act as Lagrange multipliers to enforce conservation of linear and angular momentum. Due to the…

Numerical Analysis · Mathematics 2024-10-10 Wietse M. Boon , Nicola R. Franco , Alessio Fumagalli

All interesting and fascinating collective properties of a complex system arise from the intricate way in which its components interact. Various systems in physics, biology, social sciences and engineering have been successfully modelled as…

Adaptation and Self-Organizing Systems · Physics 2021-04-23 L. V. Gambuzza , F. Di Patti , L. Gallo , S. Lepri , M. Romance , R. Criado , M. Frasca , V. Latora , S. Boccaletti

We discuss elastic tensegrity frameworks made from rigid bars and elastic cables, depending on many parameters. For any fixed parameter values, the stable equilibrium position of the framework is determined by minimizing an energy function…

Metric Geometry · Mathematics 2021-12-15 Alexander Heaton , Sascha Timme