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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

This paper studies the equilibrium formulation of a three degree of freedom planar compliant platform mechanism, which is in contact with a solid body in its environment. The mechanism includes two platforms, which are connected in parallel…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Mustafa M. Mustafa , Carl D. Crane , Ibrahim Hamarash

In this article a multi-segmented planar tensegrity mechanism was presented. This mechanism has a three-segment structure with each segment residing on top of another. The size of the segments may decrease proportionally from base to top,…

Robotics · Computer Science 2022-04-05 Dhruva Khanzode , Ranjan Jha , Emilie Duchalais , Damien Chablat

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

This paper proposes a unified approach for dynamic modeling and simulations of general tensegrity structures with rigid bars and rigid bodies of arbitrary shapes. The natural coordinates are adopted as a non-minimal description in terms of…

Computational Engineering, Finance, and Science · Computer Science 2024-08-30 Jiahui Luo , Xiaoming Xu , Zhigang Wu , Shunan Wu

Tensegrity structures have been extensively studied over the last years due to their potential applications in modern engineering like metamaterials, deployable structures, planetary lander modules, etc. Many of the form-finding methods…

Dynamical Systems · Mathematics 2024-02-14 Ajay B. Harish , Vijay Nandurdikar , Shubham Deshpande , Stephanie Andress

It is shown that a compound elastic structure, which displays a dynamic instability, may be designed as the union (or 'fusion') of two structures which are stable when separately analyzed. The compound elastic structure has two degrees of…

Classical Physics · Physics 2023-01-16 Marco Rossi , Andrea Piccolroaz , Davide Bigoni

This paper deals with a new planar parallel mechanism with variable actuation and its kinetostatic performance. A drawback of parallel mechanisms is the non homogeneity of kinetostatic performance within their workspace. The common approach…

Robotics · Computer Science 2008-09-19 Novona Rakotomanga , Damien Chablat , Stéphane Caro

The paper addresses kinematic and geometrical aspects of the Orthoglide, a three-DOF parallel mechanism. This machine consists of three fixed linear joints, which are mounted orthogonally, three identical legs and a mobile platform, which…

Robotics · Computer Science 2007-05-23 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

This study presents a finite element analysis approach to non-linear and linearized tensegrity dynamics based on the Lagrangian method with nodal coordinate vectors as the generalized coordinates. In this paper, nonlinear tensegrity…

Applied Physics · Physics 2021-06-07 Shuo Ma , Muhao Chen , Robert E. Skelton

In this paper we propose a new method to detect and classify coexisting solutions in nonlinear systems. We focus on mechanical and structural systems where we usually avoid multistability for safety and reliability. We want to be sure that…

Adaptation and Self-Organizing Systems · Physics 2016-02-12 P. Brzeski , M. Lazarek , T. Kapitaniak , J. Kurths , P. Perlikowski

Parallel kinematic mechanisms are interesting alternative designs for machining applications. Three 2-DOF parallel mechanism architectures dedicated to machining applications are studied in this paper. The three mechanisms have two constant…

Robotics · Computer Science 2007-07-26 Philippe Wenger , Clément Gosselin , Damien Chablat

We introduce a new class of mixed finite element methods for 2D and 3D compressible nonlinear elasticity. The independent unknowns of these conformal methods are displacement, displacement gradient, and the first Piola-Kirchhoff stress…

Numerical Analysis · Mathematics 2019-10-22 Arzhang Angoshtari , Ali Gerami Matin

This paper addresses the workspace analysis of two 3-DOF translational parallel mechanisms designed for machining applications. The two machines features three fixed linear joints. The joint axes of the first machine are orthogonal whereas…

Robotics · Computer Science 2007-07-20 Damien Chablat , Philippe Wenger , Jean-Pierre Merlet

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

Presented in this paper is the kinematic analysis of a symmetrical three-degree-of-freedom planar parallel manipulator. In opposite to serial manipulators, parallel manipulators can admit not only multiple inverse kinematic solutions, but…

Robotics · Computer Science 2007-05-23 Damien Chablat , Philippe Wenger

We examine the dynamics of a compressible active nematic liquid crystal on a frictional substrate. When frictional damping dominates over viscous dissipation, we eliminate flow in favor of active stresses to obtain a minimal dynamical model…

Soft Condensed Matter · Physics 2016-11-07 Pragya Srivastava , Prashant Mishra , M. Cristina Marchetti

The paper presents a methodology for the enhanced stiffness analysis of parallel manipulators with internal preloading in passive joints. It also takes into account influence of the external loading and allows computing both the non-linear…

Robotics · Computer Science 2010-12-10 Anatoly Pashkevich , Alexandr Klimchik , Damien Chablat

We establish the relation between local stability of equilibria and slopes of critical curves for a specific class of difference equations. We then use this result to give global behavior results for nonnegative solutions of the system of…

Dynamical Systems · Mathematics 2008-12-18 Sukanya Basu , Orlando Merino

We generalize the scalar tensor bigravity models to the non-minimal kinetic coupling scalar tensor bigravity models with two scalar fields whose kinetic terms are non-minimally coupled to two Einstein tensors constructed by two metrics. We…

General Relativity and Quantum Cosmology · Physics 2015-08-06 F. Darabi , M. Mousavi
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