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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 determination of the stiffness center of a machine tool is a major element for knowing the dynamic behavior of this one. This stiffness center can be obtained from a static characterization of the machine tool. For an operation of…

The paper presents a new stiffness modelling method for overconstrained parallel manipulators, which is applied to 3-d.o.f. translational mechanisms. It is based on a multidimensional lumped-parameter model that replaces the link…

Robotics · Computer Science 2008-11-24 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

This paper discusses the utility of using simple stiffness and vibrations models, based on the Jacobian matrix of a manipulator and only the rigidity of the actuators, whenever its geometry is optimised. In many works, these simplified…

Robotics · Computer Science 2009-09-02 Sébastien Briot , Anatoly Pashkevich , Damien Chablat

The paper focuses on the mechanics of a compliant serial manipulator composed of new type of dual-triangle elastic segments. Both the analytical and numerical methods were used to find the manipulator stable and unstable equilibrium…

Robotics · Computer Science 2020-11-16 Damien Chablat , Wanda Zhao , Anatol Pashkevich , Alexandr Klimchik

This paper presents a parametric stiffness analysis of the Orthoglide. A compliant modeling and a symbolic expression of the stiffness matrix are conducted. This allows a simple systematic analysis of the influence of the geometric design…

Robotics · Computer Science 2007-08-28 Félix Majou , Clément Gosselin , Philippe Wenger , Damien Chablat

Performing a grasp is a pivotal capability for a robotic gripper. We propose a new evaluation approach of grasping stability via constructing a model of grasping stiffness based on the theory of contact mechanics. First, the mathematical…

Robotics · Computer Science 2018-10-22 Huixu Dong , Chen Qiu , Dilip K. Prasad , Ye Pan , Jiansheng Dai , I-Ming Chen

Modular Active Cell Robots (MACROs) are a design paradigm for modular robotic hardware that uses only two components, namely actuators and passive compliant joints. Under the MACRO approach, a large number of actuators and joints are…

Robotics · Computer Science 2022-03-15 Gaurav Singh , Ahsan Nawroj , Aaron M Dollar

Assembling stiffness matrices represents a significant cost in many finite element computations. We address the question of optimizing the evaluation of these matrices. By finding redundant computations, we are able to significantly reduce…

Numerical Analysis · Mathematics 2012-05-15 Robert C. Kirby , Matthew Knepley , Anders Logg , L. Ridgway Scott

This paper presents a new stiffness modulation mechanism that enables infinite-range stiffness modulation in a fast manner. The proposed stiffness modulation mechanism can help improve many robot environment interaction applications such as…

Robotics · Computer Science 2024-01-17 Sariyildiz Emre

We propose a mechanically simple and cheap design for a series elastic actuator with controllable stiffness. Such characteristics are necessary for animals for running, jumping, throwing, and manipulation, yet in robots, variable stiffness…

Robotics · Computer Science 2021-07-08 Sajiv Shah , Brad Saund

This paper presents a parametric stiffness analysis of the Orthoglide, a 3-DOF translational Parallel Kinematic Machine. First, a compliant modeling of the Orthoglide is conducted based on an existing method. Then stiffness matrix is…

Robotics · Computer Science 2007-08-29 Félix Majou , Clément Gosselin , Philippe Wenger , Damien Chablat

Ensuring symmetric stiffness in impedance-controlled robots is crucial for physically meaningful and stable interaction in contact-rich manipulation. Conventional approaches neglect the change of basis vectors in curved spaces, leading to…

Robotics · Computer Science 2025-03-11 Johannes Lachner , Moses C. Nah , Neville Hogan

In contact-rich tasks, setting the stiffness of the control system is a critical factor in its performance. Although the setting range can be extended by making the stiffness matrix asymmetric, its stability has not been proven. This study…

Robotics · Computer Science 2026-03-19 Toshiaki Tsuji , Yasuhiro Kato

The passivity index, a quantitative measure of a system's passivity deficiency or excess, has been widely used in stability analysis and control. Existing studies mostly rely on scalar forms of indices, which are restrictive for…

Systems and Control · Electrical Eng. & Systems 2026-01-09 Xi Ru , Xiaoyu Peng , Xinghua Chen , Zhaojian Wang , Peng Yang , Feng Liu

The stochastic protein kinetic equations can be stiff for certain parameters, which makes their numerical simulation rely on very small time step sizes, resulting in large computational cost and accumulated round-off errors. For such…

Numerical Analysis · Mathematics 2014-11-14 Lijin Wang

The paper focuses on the stiffness modeling of heavy industrial robots with gravity compensators. The main attention is paid to the identification of geometrical and elastostatic parameters and calibration accuracy. To reduce impact of the…

Robotics · Computer Science 2013-11-28 Alexandr Klimchik , Yier Wu , Claire Dumas , Stéphane Caro , Benoît Furet , Anatol Pashkevich

It is well known that the use of a consistent tangent stiffness matrix is critical to obtain quadratic convergence of the global Newton iterations in the finite element simulations of problems involving elasto-plastic deformation of metals,…

Numerical Analysis · Mathematics 2022-03-01 Koffi Enakoutsa

We discuss in details a modified variational matrix-product-state algorithm for periodic boundary conditions, based on a recent work by P. Pippan, S.R. White and H.G. Everts, Phys. Rev. B 81, 081103(R) (2010), which enables one to study…

Quantum Physics · Physics 2015-03-19 Davide Rossini , Vittorio Giovannetti , Rosario Fazio

This study investigates the stiffness characteristics of the Sprint Z3 head, also known as 3-PRS Parallel Kinematics Machines, which are among the most extensively researched and viably successful manipulators for precision machining…

Robotics · Computer Science 2024-05-15 Hassen Nigatu , Li Jihao , Keqi Zhu , Junhan Zhang , Haotian Guo , Guodong Lu , Doik Kim