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Research paper thumbnail of Theoretical and experimental nonlinear dynamics of a clamped-clamped beam MEMS resonator

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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Research paper thumbnail of In-phase and anti-phase synchronization of oscillators with Huygens' coupling

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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Research paper thumbnail of Semi-analytic approximation of the temperature field resulting from moving heat loads

International Journal of Heat and Mass Transfer

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Research paper thumbnail of Large amplitude dynamic behavior of thrust air bearings: Modeling and experiments

Tribology International

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Research paper thumbnail of Sensor and Actuator Placement for Proportional Feedback Control in Advection-Diffusion Equations

IEEE Control Systems Letters

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Research paper thumbnail of Sensitivity-Based Substructure Error Propagation for Efficient Assembly Model Reduction

Conference Proceedings of the Society for Experimental Mechanics Series

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Research paper thumbnail of Optimal Thermal Actuation for Mitigation of Heat-Induced Wafer Deformation

IEEE Transactions on Control Systems Technology

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Research paper thumbnail of Impulsive steering between coexisting stable periodic solutions with an application to vibrating plates

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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Research paper thumbnail of Stable and unstable periodic solutions of reduced dynamic systems with local nonlinearities

J Mol Struc Theochem, 1990

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Research paper thumbnail of Manifolds of nonlinear dynamic single DOF systems

M3as, 1993

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Research paper thumbnail of Some Aspects of the Analysis of Systems with Local Nonlinearities

Nonlinear Dynamics in Engineering Systems, 1990

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Research paper thumbnail of Structural Dynamics of Mechanical Systems with Local Nonlinearities under Periodic Excitation

Topics in Applied Mechanics, 1993

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Research paper thumbnail of Parametric and Direct Resonances in a Base-Excited Beam Carrying a Top Mass

Parametric Resonance in Dynamical Systems, 2011

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Research paper thumbnail of Dynamic Stability of a Base-Excited Thin Beam With Top Mass

Applied Mechanics, 2006

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Research paper thumbnail of Steady-state behaviour of a solar array system with elastic stops

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Research paper thumbnail of Steady-State Vibration Mitigation in a Piecewise Linear Beam System Using PD Control

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Research paper thumbnail of Efficient analysis of the nonlinear dynamic response of a building with a friction-based seismic base isolation system

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Research paper thumbnail of In-Phase and Anti-Phase Synchronization of Oscillators with Huygens’ Coupling

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Research paper thumbnail of Sine Sweep and Steady-State Response of a Simplified Solar Array Model with Nonlinear Support

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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Research paper thumbnail of Long Term Structural Dynamics of Mechanical Systems With Local Nonlinearities

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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Research paper thumbnail of Theoretical and experimental nonlinear dynamics of a clamped-clamped beam MEMS resonator

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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Research paper thumbnail of In-phase and anti-phase synchronization of oscillators with Huygens' coupling

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

Research paper thumbnail of Semi-analytic approximation of the temperature field resulting from moving heat loads

International Journal of Heat and Mass Transfer

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Large amplitude dynamic behavior of thrust air bearings: Modeling and experiments

Tribology International

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Sensor and Actuator Placement for Proportional Feedback Control in Advection-Diffusion Equations

IEEE Control Systems Letters

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Sensitivity-Based Substructure Error Propagation for Efficient Assembly Model Reduction

Conference Proceedings of the Society for Experimental Mechanics Series

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Optimal Thermal Actuation for Mitigation of Heat-Induced Wafer Deformation

IEEE Transactions on Control Systems Technology

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Impulsive steering between coexisting stable periodic solutions with an application to vibrating plates

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.

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Stable and unstable periodic solutions of reduced dynamic systems with local nonlinearities

J Mol Struc Theochem, 1990

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Manifolds of nonlinear dynamic single DOF systems

M3as, 1993

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Some Aspects of the Analysis of Systems with Local Nonlinearities

Nonlinear Dynamics in Engineering Systems, 1990

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Structural Dynamics of Mechanical Systems with Local Nonlinearities under Periodic Excitation

Topics in Applied Mechanics, 1993

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Parametric and Direct Resonances in a Base-Excited Beam Carrying a Top Mass

Parametric Resonance in Dynamical Systems, 2011

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Dynamic Stability of a Base-Excited Thin Beam With Top Mass

Applied Mechanics, 2006

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Steady-state behaviour of a solar array system with elastic stops

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Steady-State Vibration Mitigation in a Piecewise Linear Beam System Using PD Control

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Efficient analysis of the nonlinear dynamic response of a building with a friction-based seismic base isolation system

Bookmarks Related papers MentionsView impact

Research paper thumbnail of In-Phase and Anti-Phase Synchronization of Oscillators with Huygens’ Coupling

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Sine Sweep and Steady-State Response of a Simplified Solar Array Model with Nonlinear Support

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

Research paper thumbnail of Long Term Structural Dynamics of Mechanical Systems With Local Nonlinearities

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.

Bookmarks Related papers MentionsView impact

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