activity
20082026
most citedExperimental continuation of periodic orbits through a fold

101 citations · 246 across the 9 of their papers we have counts for

collaborators

10 papers

math.DS2026

Locating isolas in nonlinear oscillator systems using uncertainty quantification

Dongxiao Hong, David A. W. Barton, Simon A. Neild

Parametric uncertainty in nonlinear dynamical systems can fundamentally alter bifurcation behaviour, leading to qualitative response changes. Predicting operating margins/envelopes…

eess.SY2024

Iterative method for real-time Hybrid testing: application to a cantilever beam with two interface degrees of freedom

Alessandra Vizzaccaro, Sandor Beregi, David A. W. Barton +1

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 numeri…

math.DS2023

Real-time hybrid testing using iterative control for periodic oscillations

Sandor Beregi, David A. W. Barton, Djamel Rezgui +1

Real-time hybrid testing is a method in which a substructure of the system is realised experimentally and the rest numerically. The two parts interact in real time to emulate the d…

math.DS2021

Using scientific machine learning for experimental bifurcation analysis of dynamic systems

Sandor Beregi, David A. W. Barton, Djamel Rezgui +1

Augmenting mechanistic ordinary differential equation (ODE) models with machine-learnable structures is an novel approach to create highly accurate, low-dimensional models of engin…

math.DS2020

Robustness of nonlinear parameter identification in presence of process noise using control-based continuation

Sandor Beregi, David A. W. Barton, Djamel Rezgui +1

In this study, we consider the experimentally-obtained, periodically-forced response of a nonlinear structure in the presence of process noise. Control-based continuation is used t…

math.DS2019★ 36 cited

Numerical Continuation in Nonlinear Experiments using Local Gaussian Process Regression

L. Renson, J. Sieber, D. A. W. Barton +2

Control-based continuation (CBC) is a general and systematic method to probe the dynamics of nonlinear experiments. In this paper, CBC is combined with a novel continuation algorit…

physics.ins-det2018★ 65 cited

Application of control-based continuation to a nonlinear structure with harmonically coupled modes

L. Renson, A. D. Shaw, D. A. W. Barton +1

This paper presents a systematic method for exploring the nonlinear dynamics of multi-degree-of-freedom (MDOF) physical experiments. To illustrate the power of this method, known a…

physics.class-ph2018★ 23 cited

On the Geometrically Exact Low Order Modelling of a Flexible Beam: Formulation and Numerical Tests

C. Howcroft, R. G. Cook, S. A. Neild +3

This paper proposes a low order geometrically exact flexible beam formulation based on the utilisation of generic beam shape functions to approximate distributed kinematic properti…

math.DS2018★ 21 cited

Force appropriation of nonlinear structures

L. Renson, T. L. Hill, D. A. Ehrhardt +2

Nonlinear normal modes (NNMs) are widely used as a tool for developing mathematical models of nonlinear structures and understanding their dynamics. NNMs can be identified experime…

nlin.CD2008★ 101 cited

Experimental continuation of periodic orbits through a fold

J. Sieber, A. Gonzalez-Buelga, S. A. Neild +2

We present a continuation method that enables one to track or continue branches of periodic orbits directly in an experiment when a parameter is changed. A control-based setup in c…