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Papers by R. Fey
Proc. ENOC, 2008
Microelectromechanical resonators feature nonlinear dynamic responses. A first-principles based m... more Microelectromechanical resonators feature nonlinear dynamic responses. A first-principles based modeling approach is proposed for a clamped-clamped beam res-onator. Starting from the partial differential equation for the beam including geometric and electrostatic non- ...
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In this experimental study, the synchronized motion observed in pairs of nonlinear oscillators co... more In this experimental study, the synchronized motion observed in pairs of nonlinear oscillators coupled through a suspended rigid bar, is analyzed. In particular, the dynamics of two mass-spring-damper oscillators and the dynamics of two van der Pol oscillators are considered. It is shown that in both cases, the oscillators may exhibit in-phase and anti-phase synchronization. The experiments are executed in an experimental setup, consisting of two mass-spring-damperoscillators coupled through a suspended rigid bar. A relation between the obtained results and Huygens’ experiment of pendulum clocks is emphasized.
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International Journal of Heat and Mass Transfer
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Tribology International
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IEEE Control Systems Letters
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Conference Proceedings of the Society for Experimental Mechanics Series
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IEEE Transactions on Control Systems Technology
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Journal of Computational and Nonlinear Dynamics, 2016
Single-degree-of-freedom (single-DOF) nonlinear mechanical systems under periodic excitation may ... more Single-degree-of-freedom (single-DOF) nonlinear mechanical systems under periodic excitation may possess multiple coexisting stable periodic solutions. Depending on the application, one of these stable periodic solutions is desired. In energy-harvesting applications, the large-amplitude periodic solutions are preferred, and in vibration reduction problems, the small-amplitude periodic solutions are desired. We propose a method to design an impulsive force that will bring the system from an undesired to a desired stable periodic solution, which requires only limited information about the applied force. We illustrate our method for a single-degree-of-freedom model of a rectangular plate with geometric nonlinearity, which takes the form of a monostable forced Duffing equation with hardening nonlinearity.
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J Mol Struc Theochem, 1990
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M3as, 1993
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Nonlinear Dynamics in Engineering Systems, 1990
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Topics in Applied Mechanics, 1993
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Parametric Resonance in Dynamical Systems, 2011
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Applied Mechanics, 2006
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In this paper the dynamic behaviour of a multi degree of freedom beam model of a solar array stru... more In this paper the dynamic behaviour of a multi degree of freedom beam model of a solar array structure is investigated both experimentally and numerically. The beam is supported by one nonlinear element, a so-called snubber. This snubber can only take compressive forces. Two types of excitation are applied and compared: sine sweep excitation (with different sweep rates and directions) and steady-state excitation. Emphasis lies on the investigation of the dynamic behaviour of the system under prestress, which implies softening behaviour at the time when snubber and beam loose contact. The system displays rich nonlinear dynamic behaviour: multiple solutions (hysteresis loop), superharmonic resonances and subharmonic, quasi-periodic and chaotic solutions. Good correspondence between experimental and numerical results has been found. 1 INTRODUCTION Recently, numerical methods have become available in module STRDYN of the finite element package DIANA (1997), which make it possible to ana...
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Journal of Vibration and Acoustics, 1996
This paper deals with the long term behavior of periodically excited mechanical systems consistin... more This paper deals with the long term behavior of periodically excited mechanical systems consisting of linear components and local nonlinearities. The number of degrees of freedom of the linear components is reduced by applying a component mode synthesis technique. Lyapunov exponents are used to identify the character of the long term behavior of a nonlinear dynamic system, which may be periodic, quasi-periodic or chaotic. Periodic solutions are calculated efficiently by solving a two-point boundary value problem using finite differences. Floquet multipliers are calculated to determine the local stability of these solutions and to identify local bifurcation points. The methods presented are applied to a beam system supported by a one-sided linear spring, which reveals very rich, complex dynamic behavior.
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Proc. ENOC, 2008
Microelectromechanical resonators feature nonlinear dynamic responses. A first-principles based m... more Microelectromechanical resonators feature nonlinear dynamic responses. A first-principles based modeling approach is proposed for a clamped-clamped beam res-onator. Starting from the partial differential equation for the beam including geometric and electrostatic non- ...
Bookmarks Related papers MentionsView impact
In this experimental study, the synchronized motion observed in pairs of nonlinear oscillators co... more In this experimental study, the synchronized motion observed in pairs of nonlinear oscillators coupled through a suspended rigid bar, is analyzed. In particular, the dynamics of two mass-spring-damper oscillators and the dynamics of two van der Pol oscillators are considered. It is shown that in both cases, the oscillators may exhibit in-phase and anti-phase synchronization. The experiments are executed in an experimental setup, consisting of two mass-spring-damperoscillators coupled through a suspended rigid bar. A relation between the obtained results and Huygens’ experiment of pendulum clocks is emphasized.
Bookmarks Related papers MentionsView impact
International Journal of Heat and Mass Transfer
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Tribology International
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IEEE Control Systems Letters
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Conference Proceedings of the Society for Experimental Mechanics Series
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IEEE Transactions on Control Systems Technology
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Journal of Computational and Nonlinear Dynamics, 2016
Single-degree-of-freedom (single-DOF) nonlinear mechanical systems under periodic excitation may ... more Single-degree-of-freedom (single-DOF) nonlinear mechanical systems under periodic excitation may possess multiple coexisting stable periodic solutions. Depending on the application, one of these stable periodic solutions is desired. In energy-harvesting applications, the large-amplitude periodic solutions are preferred, and in vibration reduction problems, the small-amplitude periodic solutions are desired. We propose a method to design an impulsive force that will bring the system from an undesired to a desired stable periodic solution, which requires only limited information about the applied force. We illustrate our method for a single-degree-of-freedom model of a rectangular plate with geometric nonlinearity, which takes the form of a monostable forced Duffing equation with hardening nonlinearity.
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J Mol Struc Theochem, 1990
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M3as, 1993
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Nonlinear Dynamics in Engineering Systems, 1990
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Topics in Applied Mechanics, 1993
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Parametric Resonance in Dynamical Systems, 2011
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Applied Mechanics, 2006
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In this paper the dynamic behaviour of a multi degree of freedom beam model of a solar array stru... more In this paper the dynamic behaviour of a multi degree of freedom beam model of a solar array structure is investigated both experimentally and numerically. The beam is supported by one nonlinear element, a so-called snubber. This snubber can only take compressive forces. Two types of excitation are applied and compared: sine sweep excitation (with different sweep rates and directions) and steady-state excitation. Emphasis lies on the investigation of the dynamic behaviour of the system under prestress, which implies softening behaviour at the time when snubber and beam loose contact. The system displays rich nonlinear dynamic behaviour: multiple solutions (hysteresis loop), superharmonic resonances and subharmonic, quasi-periodic and chaotic solutions. Good correspondence between experimental and numerical results has been found. 1 INTRODUCTION Recently, numerical methods have become available in module STRDYN of the finite element package DIANA (1997), which make it possible to ana...
Bookmarks Related papers MentionsView impact
Journal of Vibration and Acoustics, 1996
This paper deals with the long term behavior of periodically excited mechanical systems consistin... more This paper deals with the long term behavior of periodically excited mechanical systems consisting of linear components and local nonlinearities. The number of degrees of freedom of the linear components is reduced by applying a component mode synthesis technique. Lyapunov exponents are used to identify the character of the long term behavior of a nonlinear dynamic system, which may be periodic, quasi-periodic or chaotic. Periodic solutions are calculated efficiently by solving a two-point boundary value problem using finite differences. Floquet multipliers are calculated to determine the local stability of these solutions and to identify local bifurcation points. The methods presented are applied to a beam system supported by a one-sided linear spring, which reveals very rich, complex dynamic behavior.
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