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Non-linear equations of radial motion of a gas bubble in a compressible viscous liquid have been modified considering effects of viscosity and compressibility more complete than all previous works. A new set of equations has been derived…

Fluid Dynamics · Physics 2007-05-23 Ahmad Moshaii , Rasool Sadighi-Bonabi , Mohammd Taeibi-Rahni

We consider the dynamic elasticity equation, modeled by the Euler-Bernoulli plate equation, with a locally distributed singular structural (or viscoelastic ) damping in a boundary domain. Using a frequency domain method combined, based on…

Analysis of PDEs · Mathematics 2019-06-02 Kaïs Ammari , Fathi Hassine , Luc Robbiano

In this paper, we study an elastic bilayer plate composed of a nematic liquid crystal elastomer in the top layer and a nonlinearly elastic material in the bottom layer. While the bottom layer is assumed to be stress-free in the flat…

Analysis of PDEs · Mathematics 2022-03-09 Sören Bartels , Max Griehl , Stefan Neukamm , David Padilla-Garza , Christian Palus

This article is dedicated to the investigation of the stabilization problem of a flexible beam attached to the center of a rotating disk. We assume that the feedback law contains a nonlinear torque control applied on the disk and nonlinear…

Analysis of PDEs · Mathematics 2021-03-09 K. Ammari , A. Bchatnia , B. Chentouf

Silicon-based micro-electromechanical systems (MEMS) can be fabricated using bulk and surface micromachining technology. A micro mirror designed as an oscillatory MEMS constitutes a prominent example. Typically, in order to minimize energy…

Mesoscale and Nanoscale Physics · Physics 2018-06-14 Ulrike Nabholz , Wolfgang Heinzelmann , Jan E. Mehner , Peter Degenfeld-Schonburg

We investigate the ultraslow structural relaxation of ageing foams with rheologically-tunable continuous phases. We probe the bubble dynamics associated with pressure-driven foam coarsening using differential dynamic microscopy, which…

Soft Condensed Matter · Physics 2024-05-20 Chiara Guidolin , Emmanuelle Rio , Roberto Cerbino , Anniina Salonen , Fabio Giavazzi

This paper proposes a new nonlinear stability analysis for the acceleration-based robust position control of robot manipulators by using Disturbance Observer (DOb). It is shown that if the nominal inertia matrix is properly tuned in the…

Systems and Control · Computer Science 2019-02-22 Emre Sariyildiz , Hiromu Sekiguchi , Takahiro Nozaki , Barkan Ugurlu , Kouhei Ohnishi

In this paper, we present a novel integrated method for designing nonlinear stiffness systems based on a general spring-boundary model (GSBM) to study the number of mechanical configurations for nonlinear stiffness systems designed by the…

Dynamical Systems · Mathematics 2023-09-07 Qiangqiang Li , Qingjie Cao

Dynamical Ising machines are based on continuous dynamical systems evolving from a generic initial state to a state strongly related to the ground state of the classical Ising model on a graph. Reaching the ground state is equivalent to…

Emerging Technologies · Computer Science 2024-12-06 Mikhail Erementchouk , Aditya Shukla , Pinaki Mazumder

Soft tissues are complex media, they display a wide range of mechanical properties such as anisotropy and non-linear stress-strain behaviour. They undergo large deformations and they exhibit a time-dependent mechanical behaviour, i.e. they…

Soft Condensed Matter · Physics 2021-08-19 Michele Righi , Valentina Balbi

A nonparametric learning solution framework is proposed for the global nonlinear robust output regulation problem. We first extend the assumption that the steady-state generator is linear in the exogenous signal to the more relaxed…

Systems and Control · Electrical Eng. & Systems 2024-06-21 Shimin Wang , Martin Guay , Zhiyong Chen , Richard D. Braatz

The use of exoskeleton robots is increasing due to the rising number of musculoskeletal injuries. However, their effectiveness depends heavily on the design of control systems. Designing robust controllers is challenging because of…

Robotics · Computer Science 2025-09-29 Alireza Aliyari , Gholamreza Vossoughi

Nonreciprocal entanglement, characterized by inherently robust operation, is a cornerstone for quantum information processing and communications. However, it remains a great challenge to achieve nonreciprocal entanglement characterized by…

Quantum Physics · Physics 2025-09-03 Lei Huang , Peng-Fei Wang , Jian-Qi Zhang , Xin Zhou , Shuo Zhang , Han-Xiao Zhang , Hong Yang , Dong Yan

The notion of the relaxed Robust Control Lyapunov Function (relaxed RCLF) is introduced and is exploited for the design of robust feedback stabilizers for nonlinear systems. Particularly, it is shown for systems with input constraints that…

Optimization and Control · Mathematics 2008-10-07 Iasson Karafyllis , Costas Kravaris , Nicolas Kalogerakis

This paper presents robust position control strategies for the novel VSSEA. By employing a constructed state-space model, two control schemes are developed in a unified framework: a state-feedback controller and a sliding mode controller,…

Systems and Control · Electrical Eng. & Systems 2026-01-07 Emre Sariyildiz

Characterizing the softness of deformable materials having partial elastic and partial viscous behaviour via soft lubrication experiments has emerged as a versatile and robust methodology in recent times. However, a straightforward…

Soft Condensed Matter · Physics 2021-07-22 Pratyaksh Karan , Jeevanjyoti Chakraborty , Suman Chakraborty

This study shows that typical pendulum dynamics is far from the simple equation of motion presented in textbooks. A reasonably complete damping model must use nonlinear terms in addition to the common linear viscous expression. In some…

Classical Physics · Physics 2007-05-23 Randall D. Peters

Numerical simulations of the flow in an extrusion damper are performed using a finite volume method. The damper is assumed to consist of a shaft, with or without a spherical bulge, oscillating axially in a containing cylinder filled with a…

This study proposes an effective theoretical framework for non-adiabatic parametric excitation in structured media, incorporating a nonlinear frequency regulator U as a stabilizing mechanism. We introduce the non-adiabaticity parameter as a…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 A. M. Tishin

To reduce tear and wear of machinery lubrication is essential. Lubricants form a layer between two surfaces preventing direct contact and reduce friction between moving parts and hence reduce wear. In this short letter the lubrication of…

Classical Physics · Physics 2018-09-12 Kedar Nath Uprety , Stefan C. Mancas