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In the present work, we examine the role of nonlinearity in vibrational resonance (VR) of a forced and damped form of a velocity-dependent potential system. Many studies have focused on studying the vibrational resonance in different…

Chaotic Dynamics · Physics 2023-05-05 R Kabilan , M Sathish Aravindh , A Venkatesan , M Lakshmanan

An isogeometric Galerkin approach for analysing the free vibrations of piezoelectric shells is presented. The shell kinematics is specialised to infinitesimal deformations and follow the Kirchhoff-Love hypothesis. Both the geometry and…

Numerical Analysis · Mathematics 2021-05-20 Zhaowei Liu , Andrew McBride , Prashant Saxena , Luca Heltai , Yilin Qu , Paul Steinmann

Rayleigh-Taylor (RT) instability commonly arises in compressible systems with time-dependent acceleration in practical applications. To capture the complex dynamics of such systems, a two-component discrete Boltzmann method is developed to…

Fluid Dynamics · Physics 2025-04-08 Huilin Lai , Chuandong Lin , Hao Xu , Hailong Liu , Demei Li , Bailing Chen

A theoretical description of the weakly nonlinear and mode-dependent dynamics of a nanoscale beam that is under intrinsic tension is developed. A full analysis of the dynamic range of the beam over a wide range of conditions is presented.…

Applied Physics · Physics 2025-08-08 N. W. Welles , M. Ma , K. L. Ekinci , M. R. Paul

In this paper, an iterative method for real-time hybrid testing (RTHT) is proposed. The method seeks to iteratively balance the interface conditions between the physical and numerical substructures by controlling the periodic demand of the…

Systems and Control · Electrical Eng. & Systems 2024-06-13 Alessandra Vizzaccaro , Sandor Beregi , David A. W. Barton , Simon A. Neild

We study the problem of controlling the initial condition of a vibrating beam. The optimal control problem seeks to determine solutions of initial velocity that assure the approach of the state of the beam to a given target function in the…

Optimization and Control · Mathematics 2025-02-10 Yesim Akbulut , Bismark Singh

The deformable and continuum nature of soft robots promises versatility and adaptability. However, control of modular, multi-limbed soft robots for terrestrial locomotion is challenging due to the complex robot structure, actuator mechanics…

Robotics · Computer Science 2016-02-05 Vishesh Vikas , Piyush Grover , Barry Trimmer

If one wants to explore the properties of a dynamical system systematically one has to be able to track equilibria and periodic orbits regardless of their stability. If the dynamical system is a controllable experiment then one approach is…

Dynamical Systems · Mathematics 2009-03-19 Jan Sieber , Bernd Krauskopf

We propose an optimal control method for simultaneous slewing and vibration control of flexible spacecraft. Considering dynamics on different time scales, the optimal control problem is discretized on micro and macro time grids using a…

Optimization and Control · Mathematics 2020-11-02 Yana Lishkova , Sina Ober-Blöbaum , Mark Cannon , Sigrid Leyendecker

The effect of noise on a rotational mode of a pendulum excited kinematically in vertical direction has been analyzed. We have shown that for a weak noise transitions from oscillations to rotations and vice versa are possible. For a moderate…

Chaotic Dynamics · Physics 2007-05-23 Grzegorz Litak , Marek Borowiec , Marian Wiercigroch

We discuss an algorithm that eliminates the periodic non-linearity of a bimorph piezo actuator by modifying the phase of the voltage waveforms used for driving the actuator. The procedure presented allows for a separate optimization of the…

Instrumentation and Detectors · Physics 2022-11-09 Nils Frederik Hasselmann , Maxime Nicloux , Alexander Sell

Liquid films on moving substrates are used in dip-coating processes to form uniform protective layers. Controlling free-surface waves is essential due to the film's inherent linear instability. Therefore, we develop a linear feedback…

Fluid Dynamics · Physics 2026-04-28 Fabio Pino , Benoit Scheid , Miguel A. Mendez , Demetrios T. Papageorgiou

Control of compliant mechanical systems is increasingly being researched for several applications including flexible link robots and ultra-precision positioning systems. The control problem in these systems is challenging, especially with…

Systems and Control · Computer Science 2020-10-23 Prasanna S. Gandhi , Pablo Borja , Romeo Ortega

Our study found that integrating shear piezo-transducers inside the beam offers a compact and efficient solution that enables localized damping control without compromising structural integrity. However, the conventional approach of placing…

Applied Physics · Physics 2025-06-30 Mark Baken , Vivek Gupta , Bas Jansen , S. Hassan HosseinNia

Starting from a travelling wave ansatz we show successively that the shape of a nonlinear excitation generally depends also on the 1st, 2nd, ... time derivative of the position X of the excitation. From the Hamilton equations we derive a…

Condensed Matter · Physics 2007-05-23 F. G. Mertens , H. -J. Schnitzer , A. R. Bishop

The purpose of this paper is to investigate experimental and numerical dynamic responses of a preloaded vibro-impacting Hertzian contact under sinusoidal excitation. Dynamic response under random excitation is analysed in the second part of…

Classical Physics · Physics 2016-08-14 Emmanuel Rigaud , Joël Perret-Liaudet

A mechanical system consisting of a rigid body and attached Kirchhoff plates under the action of three independent controls torques is considered. The equations of motion of such model are derived in the form of a system of coupled…

Optimization and Control · Mathematics 2019-02-08 Alexander Zuyev , Julia Novikova

The vortex-induced vibration of multiple spring-mounted bodies free to move in the orthogonal direction of the flow is investigated. In a first step, we derive a Linear Arbitrary Lagrangian Eulerian (L-ALE) method to solve the…

Fluid Dynamics · Physics 2026-03-02 Théo Mouyen , Javier Sierra , David Fabre , Flavio Giannetti

Reconfigurable robots are at the forefront of robotics innovation due to their unmatched versatility and adaptability in addressing various tasks through collaborative operations. This paper explores the design and implementation of a novel…

Robotics · Computer Science 2025-01-07 Ollie Wiltshire , Seyed Amir Tafrishi

The interaction of a charged particle beam with radio-frequency (RF) systems in most linear or circular accelerators is an non-linear process. The large longitudinal electric fields for acceleration and longitudinal beam manipulations can…

Accelerator Physics · Physics 2021-08-11 Heiko Damerau