Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques

M Peeters, R Viguié, G Sérandour, G Kerschen… - Mechanical systems and …, 2009 - Elsevier
The concept of nonlinear normal modes (NNMs) is discussed in the present paper and its
companion, Part I. One reason of the still limited use of NNMs in structural dynamics is that …

Nonlinear dynamics and active control of smart beams using shear/extensional mode piezoelectric actuators

RS Reddy, S Panda, A Gupta - International Journal of Mechanical …, 2021 - Elsevier
In this work, the nonlinear dynamics and active control of smart beams are investigated
using the shear mode and extensional mode piezoelectric actuators. The numerical analysis …

Isogeometric analysis of nonlinear Euler–Bernoulli beam vibrations

O Weeger, U Wever, B Simeon - Nonlinear Dynamics, 2013 - Springer
In this paper we analyze the vibrations of nonlinear structures by means of the novel
approach of isogeometric finite elements. The fundamental idea of isogeometric finite …

Self-excited vibrations of a non-smooth contact dynamical system with planar friction based on the shooting method

L Charroyer, O Chiello, JJ Sinou - International Journal of Mechanical …, 2018 - Elsevier
This paper deals with the computation of non-linear dynamic steady-state solutions of
autonomous non-smooth contact systems prone to mono-instability. The addressed issue is …

A closed form solution for linear and nonlinear free vibrations of composite and fiber metal laminated rectangular plates

A Shooshtari, S Razavi - Composite Structures, 2010 - Elsevier
In this paper, the nonlinear equations of motion for laminated composite rectangular plates
based on first order shear deformation theory, which include shear deformation and rotary …

Primary and secondary resonances of functionally graded graphene platelet-reinforced nanocomposite beams

X Li, M Song, J Yang, S Kitipornchai - Nonlinear Dynamics, 2019 - Springer
The present study investigated the nonlinear harmonic vibration of functionally graded
multilayer graphene nanoplatelet (GPL)-reinforced nanocomposite beams on the basis of …

Application of scaled boundary finite element method for vibration-based structural health monitoring of breathing cracks

N Sepehry, M Ehsani, W Zhu… - Journal of Vibration …, 2021 - journals.sagepub.com
The dynamic response of the host structure to a high-frequency actuation is usually used for
the detection of tiny damage in structures in the form of breathing crack. The simulation of …

Nonlinear vibrations of a beam with non-ideal boundary conditions and subjected to two correlated or uncorrelated broadband random excitations-experiments …

S Talik, JJ Sinou, M Claeys, JP Lambelin - Communications in Nonlinear …, 2022 - Elsevier
This study presents experiments and numerical simulations of a beam with non-ideal
boundary conditions and subjected to two broadband correlated or uncorrelated random …

Multi-harmonic measurements and numerical simulations of nonlinear vibrations of a beam with non-ideal boundary conditions

M Claeys, JJ Sinou, JP Lambelin, B Alcoverro - … in Nonlinear Science and …, 2014 - Elsevier
This study presents a direct comparison of measured and predicted nonlinear vibrations of a
clamped–clamped steel beam with non-ideal boundary conditions. A multi-harmonic …

Modified shooting approach to the non-linear periodic forced response of isotropic/composite curved beams

SM Ibrahim, BP Patel, Y Nath - International Journal of Non-Linear …, 2009 - Elsevier
Large amplitude periodic forced vibration of curved beams under periodic excitation is
investigated using a three-noded beam element. The element is based on the higher-order …