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We introduce a family of numerical algorithms for the solution of linear system in higher dimensions with the matrix and right hand side given and the solution sought in the tensor train format. The proposed methods are rank--adaptive and…

Numerical Analysis · Mathematics 2014-10-07 Sergey V. Dolgov , Dmitry V. Savostyanov

Consider a robot operating in an uncertain environment with stochastic, dynamic obstacles. Despite the clear benefits for trajectory optimization, it is often hard to keep track of each obstacle at every time step due to sensing and…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Michael Hibbard , Abraham P. Vinod , Jesse Quattrociocchi , Ufuk Topcu

Modeling inverse dynamics is crucial for accurate feedforward robot control. The model computes the necessary joint torques, to perform a desired movement. The highly non-linear inverse function of the dynamical system can be approximated…

Machine Learning · Computer Science 2017-11-15 Stephan Baier , Volker Tresp

The design of compliant mechanisms is crucial in several technologies and relies on the availability of solutions for nonlinear structural problems. One of these solutions is given and experimentally validated in the present article for a…

Classical Physics · Physics 2015-09-23 D. Misseroni , G. Noselli , D. Zaccaria , D. Bigoni

This paper is dedicated to the development of a novel adaptive torsion spring mechanism for optimizing energy consumption in legged robots. By adjusting the equilibrium position and stiffness of the spring, the system improves energy…

The use of global displacement basis functions to solve boundary-value problems in linear elasticity is well established. No prior work uses a global stress tensor basis for such solutions. We present two such methods for solving stress…

Numerical Analysis · Mathematics 2023-04-27 Sankalp Tiwari , Anindya Chatterjee

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

We present a topological framework for finding low-flop algorithms for evaluating element stiffness matrices associated with multilinear forms for finite element methods posed over straight-sided affine domains. This framework relies on…

Numerical Analysis · Mathematics 2012-05-15 Robert C. Kirby , Anders Logg , L. Ridgway Scott , Andy R. Terrel

The paper focuses on the stiffness modeling of parallel manipulators composed of non-perfect serial chains, whose geometrical parameters differ from the nominal ones. In these manipulators, there usually exist essential internal…

Robotics · Computer Science 2012-11-27 Alexandr Klimchik , Anatol Pashkevich , Damien Chablat

Tensor train (TT) decomposition provides a space-efficient representation for higher-order tensors. Despite its advantage, we face two crucial limitations when we apply the TT decomposition to machine learning problems: the lack of…

Machine Learning · Statistics 2017-08-03 Masaaki Imaizumi , Takanori Maehara , Kohei Hayashi

We examine the equilibrium and stability of an elastocapillary system to model drying-induced structural failures. The model comprises a circular elastic membrane with a hole at the center that is deformed by the capillary pressure of…

Soft Condensed Matter · Physics 2015-05-28 Amir Akbari , Reghan J. Hill , Theo G. M. van de Ven

Fabrication process variations can significantly influence the performance and yield of nano-scale electronic and photonic circuits. Stochastic spectral methods have achieved great success in quantifying the impact of process variations,…

Machine Learning · Statistics 2021-06-29 Zichang He , Zheng Zhang

This paper presents the work devoted to the study of the operation of a miniaturized membrane Stirling engine. Indeed, such an engine relies on the dynamic coupling of the motion of two membranes to achieve a prime mover Stirling…

Classical Physics · Physics 2013-01-22 Fabien Formosa

In topology optimization of compliant mechanisms, the specific placement of boundary conditions strongly affects the resulting material distribution and performance of the design. At the same time, the most effective locations of the loads…

Computational Engineering, Finance, and Science · Computer Science 2025-02-05 Lee R. Alacoque , Anurag Bhattacharyya , Kai A. James

This paper tackles the problem of recovering a low-rank signal tensor with possibly correlated components from a random noisy tensor, or so-called spiked tensor model. When the underlying components are orthogonal, they can be recovered…

Machine Learning · Statistics 2023-03-20 Mohamed El Amine Seddik , Mohammed Mahfoud , Merouane Debbah

Unlike conventional mechanisms, compliant mechanisms produce the desired deformations by exploiting elastic strain and do not need, therefore, moving parts. The number of degrees of freedom of a conventional mechanism, also called mobility,…

Robotics · Computer Science 2021-05-18 Stephanie Kirmse , Lucio Flavio Campanile , Alexander Hasse

This paper presents a new teleoperated spherical tensegrity robot capable of performing locomotion on steep inclined surfaces. With a novel control scheme centered around the simultaneous actuation of multiple cables, the robot demonstrates…

Plasticity is inherent to many engineering materials such as metals. While it can degrade the load-carrying capacity of structures via material yielding, it can also protect structures through plastic energy dissipation. To fully harness…

Computational Engineering, Finance, and Science · Computer Science 2025-02-05 Yingqi Jia , Xiaojia Shelly Zhang

Task and motion planning (TAMP) for multi-robot systems, which integrates discrete task planning with continuous motion planning, remains a challenging problem in robotics. Existing TAMP approaches often struggle to scale effectively for…

Robotics · Computer Science 2025-04-30 Zhongqi Wei , Xusheng Luo , Changliu Liu

The purpose of this research is to design, fabricate and test a tendon driven a continuum soft robot with three modular segments, each of which has a tunable stiffness enabled by layer jamming technology. Compared with previous studies, the…

Robotics · Computer Science 2019-12-11 Zhong Ouyang
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