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Starting from the definition of a stiffness matrix, the authors present a new formulation of the Cartesian stiffness matrix of parallel mechanisms. The proposed formulation is more general than any other stiffness matrix found in the…

Classical Physics · Physics 2012-12-07 Cyril Quennouelle , Clément M. Gosselin

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

The paper focuses on stiffness matrix computation for manipulators with passive joints, compliant actuators and flexible links. It proposes both explicit analytical expressions and an efficient recursive procedure that are applicable in the…

Robotics · Computer Science 2012-02-16 Alexandr Klimchik , Anatoly Pashkevich , Stéphane Caro , Damien Chablat

The subject of this paper is the design of a new concept of modular parallel mechanisms for three, four or five-axis machining applications. Most parallel mechanisms are designed for three- or six-axis machining applications. In the last…

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

This paper focuses on the performance evaluation of the parallel manipulators for milling of composite materials. For this application the most significant performance measurements, which denote the ability of the manipulator for the…

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

The paper proposes a novel approach for the geometrical model calibration of quasi-isotropic parallel kinematic mechanisms of the Orthoglide family. It is based on the observations of the manipulator leg parallelism during motions between…

Robotics · Computer Science 2009-11-02 Anatoly Pashkevich , Damien Chablat , Philippe Wenger , Roman Gomolitsky

We introduce an innovative lumped-parameter model of the aortic valve, designed to efficiently simulate the impact of valve dynamics on blood flow. Our reduced model includes the elastic effects associated with the leaflets' curvature and…

Numerical Analysis · Mathematics 2025-04-15 Ivan Fumagalli , Luca Dede' , Alfio Quarteroni

Variable Stiffness Actuators prove invaluable for robotics applications in unstructured environments, fostering safe interactions and enhancing task adaptability. Nevertheless, their mechanical design inevitably results in larger and…

Robotics · Computer Science 2025-12-05 Giuseppe Milazzo , Manuel G. Catalano , Antonio Bicchi , Giorgio Grioli

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

The paper focuses on stiffness matrix computation for manipulators with passive joints. It proposes both explicit analytical expressions and an efficient recursive procedure that are applicable in general case and allow obtaining the…

Robotics · Computer Science 2011-07-25 Anatoly Pashkevich , Alexandr Klimchik , Stéphane Caro , Damien Chablat

This paper focuses on the kinematic properties of a new three-degree-of-freedom hybrid manipulator. This manipulator is obtained by adding in series to a five-bar planar mechanism (similar to the one studied by Bajpai and Roth) a third…

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

Learning from Demonstration (LfD) provides an intuitive and fast approach to program robotic manipulators. Task parameterized representations allow easy adaptation to new scenes and online observations. However, this approach has been…

Robotics · Computer Science 2021-09-10 An T. Le , Meng Guo , Niels van Duijkeren , Leonel Rozo , Robert Krug , Andras G. Kupcsik , Mathias Buerger

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

Rigid link flapping mechanisms remain the most practical choice for flapping wing micro-aerial vehicles (MAVs) to carry useful payloads and onboard batteries for free flight due to their long-term durability and reliability. However, MAVs…

Robotics · Computer Science 2025-09-25 Shyam Sunder Nishad , Anupam Saxena

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

This paper presents a novel three-degree-of-freedom (3-DOF) translational parallel manipulator (TPM) by using a topological design method of parallel mechanism (PM) based on position and orientation characteristic (POC) equations. The…

Robotics · Computer Science 2021-06-09 Huiping Shen , Yinan Zhao , Ju Li , Guanglei Wu , Damien Chablat

In solid mechanics, Data-driven approaches are widely considered as the new paradigm that can overcome the classic problems of constitutive models such as limiting hypothesis, complexity, and high dependence on training data. However,…

Soft Condensed Matter · Physics 2020-11-23 Aref Ghaderi , Vahid Morovati , Roozbeh Dargazany

The subject of this paper is the optimal design of a parallel mechanism intended for three-axis machining applications. Parallel mechanisms are interesting alternative designs in this context but most of them are designed for three- or…

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

A spring in parallel with an effort source (e.g., electric motor or human muscle) can reduce its energy consumption and effort (i.e., torque or force) depending on the spring stiffness, spring preload, and actuation task. However, selecting…

Robotics · Computer Science 2025-07-16 Kang Yang , Myia Dickens , James Schmiedeler , Edgar Bolívar-Nieto

The paper focuses on the stiffness analysis of multi-link serial planar manipulators, which may demonstrate nonlinear stiffness behavior under the compressive loading. Two important cases are considered, where the manipulator has either a…

Robotics · Computer Science 2022-02-18 Wanda Zhao , Alexandr Klimchik , Anatol Pashkevich , Damien Chablat