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The root mean squared error is an important measure used in a variety of applications such as structural dynamics and acoustics to model averaged deviations from standard behavior. For large-scale systems, simulations of this quantity…

Numerical Analysis · Mathematics 2025-04-22 Sean Reiter , Steffen W. R. Werner

Mechanical systems are often characterized only by their response to certain loads known from experiments or simulations. The obtained data can be used for various purposes: system analysis, design of mathematical models, or construction of…

Dynamical Systems · Mathematics 2026-01-05 Yevgeniya Filanova , Igor Pontes Duff , Pawan Goyal , Peter Benner

Design of robots at the small scale is a trial-and-error based process, which is costly and time-consuming. There are few dynamic simulation tools available to accurately predict the motion or performance of untethered microrobots as they…

Robotics · Computer Science 2020-10-08 Jiayin Xie , Chenghao Bi , David J. Cappelleri , Nilanjan Chakraborty

The Discrete elastic rod method (Bergou et al., 2008) is a numerical method for simulating slender elastic bodies. It works by representing the center-line as a polygonal chain, attaching two perpendicular directors to each segment, and…

Soft Condensed Matter · Physics 2021-12-22 Kevin Korner , Basile Audoly , Kaushik Bhattacharya

Continuum robots have gained widespread popularity due to their inherent compliance and flexibility, particularly their adjustable levels of stiffness for various application scenarios. Despite efforts to dynamic modeling and control…

Robotics · Computer Science 2024-09-17 Bowen Yi , Yeman Fan , Dikai Liu , Jose Guadalupe Romero

Numerous models have been developed in the literature to simulate the thermomechanical behavior of amorphous polymer at large strain. These models generally show a good agreement with experimental results when the material is submitted to…

Soft Condensed Matter · Physics 2021-06-23 Ca Bernard , D George , S Ahzi , Y Rémond

Adaptive control can be applied to robotic systems with parameter uncertainties, but improving its performance is usually difficult, especially under discontinuous friction. Inspired by the human motor learning control mechanism, an…

Robotics · Computer Science 2024-01-22 Yongping Pan , Kai Guo , Tairen Sun , Mohamed Darouach

Legged locomotion shows promise for running in complex, unstructured environments. Designing such legged robots requires considering heterogeneous, multi-domain constraints and variables, from mechanical hardware and geometry choices to…

Robotics · Computer Science 2024-07-18 Reed Truax , Feng Liu , Souma Chowdhury , Ryan St. Pierre

Shared Control methods often use impedance control to track target poses in a robotic manipulator. The guidance behavior of such controllers is shaped by the used stiffness gains, which can be varying over time to achieve an adaptive…

It is well-known that inverse dynamics models can improve tracking performance in robot control. These models need to precisely capture the robot dynamics, which consist of well-understood components, e.g., rigid body dynamics, and effects…

Robotics · Computer Science 2022-05-30 Moritz Reuss , Niels van Duijkeren , Robert Krug , Philipp Becker , Vaisakh Shaj , Gerhard Neumann

We present a novel method for optimizing the posture of kinematically redundant torque-controlled robots to improve robustness during impacts. A rigid impact model is used as the basis for a configuration-dependent metric that quantifies…

Robotics · Computer Science 2026-02-24 Amr Afifi , Ahmad Gazar , Javier Alonso-Mora , Paolo Robuffo Giordano , Antonio Franchi

Planning accurate manipulation for deformable objects requires prediction of their state. The prediction is often complicated by a loss of stability that may result in collapse of the deformable object. In this work, stability of a fabric…

Robotics · Computer Science 2019-03-01 Vladimír Petrík , Vladimír Smutný , Ville Kyrki

Mechanics of materials is a classic course of engineering presenting the fundamentals of strain and stress analysis to junior undergraduate students in several engineering majors. So far, material deformation and strain have been only…

Physics Education · Physics 2022-01-21 Harshvardhan Uppaluru , Hossein Rastgoftar

This paper focuses on the stability analysis of a formation shape displayed by a team of mobile robots that uses heterogeneous sensing mechanism. Depending on the convenience and reliability of the local information, each robot utilizes the…

Systems and Control · Electrical Eng. & Systems 2020-10-22 Nelson P. K. Chan , Bayu Jayawardhana , Hector Garcia de Marina

A reduced order asymptotic homogenization based multiscale technique which can capture damage and inelastic effects in composite materials is proposed. This technique is based on two scale homogenization procedure where eigen strain…

Computational Engineering, Finance, and Science · Computer Science 2025-09-29 Harpreet Singh , Puneet Mahajan

Model-based control usually relies on an accurate model, which is often obtained from CAD and actuator models. The more accurate the model the better the control performance. However, in bipedal robots that demonstrate high agility actions,…

Robotics · Computer Science 2021-07-27 Bolun Dai

This paper introduces a Cosserat rod based mathematical model for modeling a self-controllable variable curvature soft continuum robot. This soft continuum robot has a hollow inner channel and was developed with the ability to perform…

Robotics · Computer Science 2024-06-28 Xinran Wang , Nicolas Rojas

In the context of control of smart structures, we present an approach for state estimation of adaptive buildings with active load-bearing elements. For obtaining information on structural deformation, a system composed of a digital camera…

Signal Processing · Electrical Eng. & Systems 2020-08-20 Alexander Warsewa , Michael Böhm , Flavio Guerra , Julia Wagner , Tobias Haist , Cristina Tarín , Oliver Sawodny

Many engineering applications of Shape Memory Alloys (SMAs) involve passing back and forth through phase transformation many times. Repeated phase transformation develops permanent deformations originating from the significant distortion…

Materials Science · Physics 2018-12-20 Lei Xu , Theocharis Baxevanis , Dimitris Lagoudas

The microscopic distribution of strain and stress plays a crucial role for the performance, safety, and lifetime of components in aeronautics, automotive and critical infrastructure [1]. While non-destructive methods for measuring the…

Materials Science · Physics 2025-04-09 Peter Modregger , James. A. D. Ball , Felix Wittwer , Ahmar Khaliq , Jonathan Wright