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This work aims to describe a mathematical model and a numerical method to simulate a thin anisotropic composite membrane moving and deforming in 3D space under a dynamic load of an arbitrary time and space profile. The model and the method…

Numerical Analysis · Mathematics 2020-07-24 Vitalii Aksenov , Alexey Vasyukov , Igor Petrov

The problem of navigating a formation of interconnected tethered drones, named STEM (System of TEthered Multicopters), in an unknown environment is considered. The tethers feed electrical power from a ground station to the drones and also…

Systems and Control · Electrical Eng. & Systems 2020-11-17 Michele Bolognini , Lorenzo Fagiano

Dimension reduction is a common strategy to study non-linear dynamical systems composed by a large number of variables. The goal is to find a smaller version of the system whose time evolution is easier to predict while preserving some of…

Dynamical Systems · Mathematics 2022-06-23 Marina Vegué , Vincent Thibeault , Patrick Desrosiers , Antoine Allard

A new field of numerical astrophysics is introduced which addresses the solution of large, multidimensional structural or slowly-evolving problems (rotating stars, interacting binaries, thick advective accretion disks, four dimensional…

Astrophysics · Physics 2009-10-30 David L. Meier

Deformation due to embedded fluidic networks is currently studied in the context of soft-actuators and soft-robotics. Expanding on this concept, beams can be designed so that the pressure in the channel-network is created directly from…

Soft Condensed Matter · Physics 2014-09-09 Yoav Matia , Amir Gat

The present paper reports on our effort to characterize vortical interactions in complex fluid flows through the use of network analysis. In particular, we examine the vortex interactions in two-dimensional decaying isotropic turbulence and…

Fluid Dynamics · Physics 2017-05-23 Kunihiko Taira , Aditya G. Nair , Steven L. Brunton

Network embedding has recently emerged as a promising technique to embed nodes of a network into low-dimensional vectors. While fairly successful, most existing works focus on the embedding techniques for static networks. But in practice,…

Social and Information Networks · Computer Science 2020-10-28 Zenan Xu , Zijing Ou , Qinliang Su , Jianxing Yu , Xiaojun Quan , Zhenkun Lin

Numerical simulation of nonlinear elastic wave propagation in solids with cracks is indispensable for decoding the complicated mechanisms associated with the nonlinear ultrasonic techniques in Non-Destructive Testing (NDT). Here, we…

Geophysics · Physics 2019-07-31 Ke Gao , Esteban Rougier , Robert Guyer , Zhou Lei , Paul A. Johnson

SLOT (Soft Legged Omnidirectional Tetrapod), a tendon-driven soft quadruped robot with 3D-printed TPU legs, is presented to study physics-informed modeling and control of compliant legged locomotion using only four actuators. Each leg is…

Robotics · Computer Science 2026-02-19 Saumya Karan , Neerav Maram , Suraj Borate , Madhu Vadali

We model the nonlinear response of a lubricated contact composed of a two-dimensional lipid membrane immersed in a simple fluid between two parallel flat and porous walls under shear. The nonlinear dynamics of the membrane gives rise to a…

Soft Condensed Matter · Physics 2021-06-11 Thomas Le Goff , Tung B. T. To , Olivier Pierre-Louis

Common methods for learning robot dynamics assume motion is continuous, causing unrealistic model predictions for systems undergoing discontinuous impact and stiction behavior. In this work, we resolve this conflict with a smooth, implicit…

Robotics · Computer Science 2020-11-03 Samuel Pfrommer , Mathew Halm , Michael Posa

Integrity of layered structures, extensively used in modern industry, strongly depends on the quality of their interfaces; poor adhesion or delamination can lead to a failure of the structure. Can nonlinear waves help us to control the…

Pattern Formation and Solitons · Physics 2015-11-20 K. R. Khusnutdinova , M. R. Tranter

General robot manipulation requires the handling of previously unseen objects. Learning a physically accurate model at test time can provide significant benefits in data efficiency, predictability, and reuse between tasks. Tactile sensing…

Robotics · Computer Science 2026-02-26 Ethan K. Gordon , Bruke Baraki , Hien Bui , Michael Posa

Over the several decades, the space debris at LEO has grown rapidly which had caused a serious threat to the operating satellite in an orbit. To avoid the risk of collision and protect the LEO environment, the space robotics ADR concept has…

Robotics · Computer Science 2022-04-05 Roshan Sah , Raunak Srivastava , Kaushik Das

Dryers play a central role in the processing of phosphate rock, where moisture removal is essential for downstream handling and energy efficiency. Due to the inherently nonlinear and multivariable nature of these systems, accurate modeling…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Jose M. Campos-Salazar , Felipe Santander , Eduardo Keim

Active matter embraces systems that self-organize at different length and time scales, often exhibiting turbulent flows. Here, we use a quasi-two-dimensional nematically ordered layer of a protein-based active gel to experimentally…

Soft Condensed Matter · Physics 2017-11-01 Pau Guillamat , Jordi Ignés-Mullol , Francesc Sagués

Non-intrusive methods have been used since two decades to derive reduced-order models for geometrically nonlinear structures, with a particular emphasis on the so-called STiffness Evaluation Procedure (STEP), relying on the static…

Computational Engineering, Finance, and Science · Computer Science 2022-05-26 Alessandra Vizzaccaro , Arthur Givois , Pierluigi Longobardi , Yichang Shen , Jean-François Deü , Loïc Salles , Cyril Touzé , Olivier Thomas

In most macro-scale robotics systems , propulsion and controls are enabled through a physical tether or complex on-board electronics and batteries. A tether simplifies the design process but limits the range of motion of the robot, while…

Robotics · Computer Science 2017-10-16 Tian Chen , Osama R. Bilal , Kristina Shea , Chiara Daraio

Cells sense the geometry and stiffness of their adhesive environment by active contractility. For strong adhesion to flat substrates, two-dimensional contractile network models can be used to understand how force is distributed throughout…

Cell Behavior · Quantitative Biology 2015-06-03 P. Guthardt Torres , I. B. Bischofs , U. S. Schwarz

We propose a new technique for obtaining reduced order models for nonlinear dynamical systems. Specifically, we advocate the use of the recently developed Dynamic Mode Decomposition (DMD), an equation-free method, to approximate the…

Numerical Analysis · Mathematics 2016-02-17 Alessandro Alla , J. Nathan Kutz