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In this work, we show that a recently proposed method for experimental nonlinear modal analysis based on the extended periodic motion concept is well suited to extract modal properties for strongly nonlinear systems (i.e. in the presence of…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Maren Scheel , Tobias Weigele , Malte Krack

This paper proposes a model-based approach to control the shape of a tensegrity system by driving its node position locations. The nonlinear dynamics of the tensegrity system is used to regulate position, velocity, and acceleration to the…

Robotics · Computer Science 2020-11-23 Raman Goyal , Manoranjan Majji , Robert E. Skelton

Tensegrity robots are composed of rigid struts and flexible cables. They constitute an emerging class of hybrid rigid-soft robotic systems and are promising systems for a wide array of applications, ranging from locomotion to assembly. They…

This paper presents the equilibrium and stiffness study of clustered tensegrity structures (CTS) considering pulley sizes. We first derive the geometric relationship between clustered strings and pulleys, where the nodal vector is chosen as…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Shuo Ma , Yiqian Chen , Muhao Chen , Robert E. Skelton

Many mechanical structures, both engineered and biological, combine heavy rigid elements such as bones and beams with lightweight flexible ones such as cables and membranes. These are referred to as tensegrities, reflecting that cables can…

Soft Condensed Matter · Physics 2025-08-27 Vishal Sudhakar , William Stephenson , James P. McInerney , D. Zeb Rocklin

We present and analyze a linearized finite element method (FEM) for the dynamical incompressible magnetohydrodynamics (MHD) equations. The finite element approximation is based on mixed conforming elements, where Taylor--Hood type elements…

Numerical Analysis · Mathematics 2019-02-20 Huadong Gao , Weifeng Qiu

In this work a finite element simulation of the motion of a rigid body in a fluid, with free surface, is described. A completely general referential description (of which both Lagrangian and Eulerian descriptions are special cases) of an…

Fluid Dynamics · Physics 2015-06-26 S. J. Childs , B. D. Reddy

A key challenge in 3D finite element models of coupled railway vehicle-bridge dynamics is the rigorous definition of kinematic constraints and the development of an efficient, robust solution. This paper presents a novel approach that can…

Numerical Analysis · Mathematics 2026-03-09 Pablo Antolin , Khanh Nguyen , José M. Goicolea

Tensegrity structures are frameworks in a stable self-equilibrated prestress state that have been applied in various fields in science and engineering. Research into tensegrity structures has resulted in reliable techniques for their form…

Computational Engineering, Finance, and Science · Computer Science 2018-09-25 Omar Aloui , David Orden , Landolf Rhode-Barbarigos

Tensegrity structures are becoming widely used in robotics, such as continuously bending soft manipulators and mobile robots to explore unknown and uneven environments dynamically. Estimating their shape, which is the foundation of their…

Robotics · Computer Science 2025-04-17 Tufail Ahmad Bhat , Yuhei Yoshimitsu , Kazuki Wada , Shuhei Ikemoto

In this paper we present a fully-coupled, two-scale homogenization method for dynamic loading in the spirit of FE$^2$ methods. The framework considers the balance of linear momentum including inertia at the microscale to capture possible…

Computational Engineering, Finance, and Science · Computer Science 2020-10-20 Erik Tamsen , Daniel Balzani

A comprehensive 3-D finite element formulation for the coupled thermoelastic system is proposed based on the Total Lagrangian framework to study the thermoelastic damping (TED) in small scale structures. The proposed formulation takes into…

Computational Engineering, Finance, and Science · Computer Science 2024-09-25 Saurabh Dixit

With recent advances in variable-length structures for use in soft actuation, energy harvesting, energy dissipation and metamaterials, the mathematical modelling and numerical simulation of physical systems with time-varying domains is…

Soft Condensed Matter · Physics 2024-10-31 Panagiotis Koutsogiannakis , Theodosios Papathanasiou , Francesco Dal Corso

A new model for the numerical simulation of a rigid body moving in a viscous fluid flow using FEM is presented. One of the most interesting features of this approach is the small computational effort required to solve the motion of the…

Fluid Dynamics · Physics 2020-12-17 M. I. Herreros , S. Ligüérzana

Most approaches in Lagrangian fluid dynamics simulations proceed from the definition of particle volumes, from which discrete versions of the spatial differential operators are derived. Recently, Gallou\"et and M\'erigot [1] simultaneously…

Fluid Dynamics · Physics 2023-01-25 Daniel Duque

We present a finite element discretisation to model the interaction between a poroelastic structure and an elastic medium. The consolidation problem considers fully coupled deformations across an interface, ensuring continuity of…

Numerical Analysis · Mathematics 2023-06-21 S. Badia , M. Hornkjøl , A. Khan , K. -A. Mardal , A. F. Martín , R. Ruiz-Baier

Robots built from cable-driven tensegrity (`tension-integrity') structures have many of the advantages of soft robots, such as flexibility and robustness, while still obeying simple statics and dynamics models. However, existing tensegrity…

Tensegrity mechanisms are composed of rigid and tensile parts that are in equilibrium. They are interesting alternative designs for some applications, such as modelling musculo-skeleton systems. Tensegrity mechanisms are more difficult to…

Robotics · Computer Science 2018-08-28 Philippe Wenger , D. Chablat

Tensegrity structures are special architectures made by floating compressed struts kept together by a continuous system of tensed cables. The multiplicity of shapes that tensegrity structures can assume and their intrinsic capability to be…

We study the geometrically nonlinear behavior of uniformly compressed tensegrity prisms, through fully elastic and rigid--elastic models. The presented models predict a variety of mechanical behaviors in the regime of large displacements,…

Materials Science · Physics 2015-06-19 Fernando Fraternali , Gerardo Carpentieri , Ada Amendola