Global ETD Search
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Showing 1 to 20 of 32 for “"Duffing"”.
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The Duffing Oscillator And Linearization Techniques For Its Motion Constants
… find for nonlinear dynamic systems. We chose the Duffing Oscillator as a higher order nonlinear dynamic system to have its motion constants investigated. The Duffing Oscillator was chosen because studying it gives a better view of how rigid bodies act. It forms a clear dynamic analog of the …
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Équations périodiques de Duffing avec retard et de Liénard avec retard et avec impulsions
… des solutions périodiques des équations de Duffing avec retard, avec ou sans impulsions et de Liénard avec retard et avec impulsions. Tandis que le premier chapitre est consacré aux préliminaires, les deux suivants vont s'attacher à montrer l'existence de solutions pour les équations de …
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Islanding Detection and Cybersecurity in Inverter-Based Microgrids Under a High-Noise Environment
… proposes an islanding detection method employing Duffing oscillators to analyze fluctuations at the point of common coupling (PCC) under a high-noise environment, focusing on decreasing detection period, zero power mismatch nondetection zone, and power quality degradation. Unlike existing methods, …
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Spline based controller for nonlinear systems
… nonlinear systems. Two different systems, forced Duffing oscillators and power systems, are investigated. The spline method is used to mimic the controller which drives a state of the Duffing system toward a desired path. The spline-based nonlinear controller has piecewise polynomial segments with …
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Unified interpretation of nonlinear elasticity in granular solids, A
… simulate a nonlinear oscillation system (i.e., Duffing equation) that involves a cubic term in the equation of state. The simulation illustrates three critical factors, i.e., driving frequency, driving amplitude, and the initial condition of the deformation; these factors control the stable …
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Coupled oscillators near resonance
… a sinusoidally driven highly nonlinear Duffing oscillator, and two coupled van der Pol oscillators with a highly nonlinear Duffing force.
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Contributions to the Computational Analysis of Multi-Dimensional Stochastic Dynamical Systems
… is then demonstrated by application to a Duffing oscillator.
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Dynamics of Small Elastic Systems in Fluid: Tension and Nonlinearity
… modulus such that the restoring force is like a Duffing oscillator. Then, the dynamics of this virtual beam are explored in air and water, and it is demonstrated that the Duffing oscillator serves as an appropriate reduced order model for this virtual beam. To understand the stochastic dynamics …
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The mode-dependent dynamics of nonlinear nanomechanical resonators
… mode's dynamics are described as a damped, Duffing oscillator. We examine limitations of current approaches and find that using a tensioned and doubly-clamped mode shape for the trial function more accurately predicts experiment. Additionally, we find that doubly-clamped beams of finite …
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Dynamics of Randomly Perturbed Nonlinear Structural and Mechanical Systems With Resonances
… zone. We consider the noisy, periodically driven Duffing equation as a prototypical 1-DOF system and achieve a model-reduction through stochastic averaging. The solution of the reduced model can be approximated by a Markov process. Depending on the strength of the noise, the reduced Markov process …
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Intentional nonlinearity in the small scale with applications to atomic force microscopy (AFM) and mass sensing
… system’s fundamental bending mode is that of a Duffing oscillator (i.e., an oscillator having cubic stiffness in addition to linear stiffness) under harmonic base excitation. For positive cubic stiffness, it is well known that the Duffing oscillator exhibits hardening in the frequency response …
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Comportement dynamique d'un arbre portant deux disques débalancés et reposant sur un support flexible nonlinéaire
… un support flexible non-linéaire de type de Duffing. Le modèle mathématique du système est établi et les équations différentielles sont obtenues en dérivant les équations de Lagrange. L'analyse théorique du système en régime stationnaire et non-stationnaire à accélération constante est faite. …
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Passive vibration isolators with high-static-low-dynamic-stiffness
… view this allows the system to be treated as a Duffing oscillator. It is argued that for small oscillations about the static equilibrium position the mechanism behaves linearly. A lab-scale rig which reproduces the HSLDS system with magnets and springs is designed and built. The excitation level …
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Nonlinear Forced Vibration of an Unsymmetrically Laminated Composite Beam
… the Galerkin method. For both cases the forced Duffing equation was obtained. It is to be noted that only for the unsymmetrical cross-ply laminate simply-supported case are both quadratic and cubic nonlinearities present. The resulting equations for both cases are then solved using the Method of …
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HANDBOOK OF EXPERIMENTAL CHAOTIC CIRCUITS AND THEIR SYNCHRONIZATION
… (Chua, Lorenz, Rössler, Hindmarsh-Rose, Duffing, Langford, Colpitts and a memristive circuit) designed and implemented with off-the-shelf components is presented in Chapter 1. A general methodology for designing a new class of chaotic circuits based on time-delay is then discussed in …
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Nonlinear resonance and excitability in interconnected systems
… absorption. It corresponds to coupling two Duffing oscillators, the prototypical example of nonlinear resonator. Of primary interest is the frequency response of the system, which quantifies the behaviour in presence of harmonic forces. The analysis focuses on how isolated families of …
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Phononic Frequency Combs
… nonlinear resonances and the well-established Duffing phenomenon is also discussed. While the experimental verification of the existence of phononic frequency combs is of scientific interest, several potential engineering applications exist including the unique capability to track resonant …
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Stability of nonlinear oscillatory systems with application to ship dynamics
… of the excitation. The behavior of a softening Duffing oscillator is analyzed under external and parametric excitation. The dynamics of a ship rolling in waves is also considered and three types of excitations are treated: external, parametric, and a combination of both. Analog- and …
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Simulation, Modeling, and Characterization of the Wakes of Fixed and Moving Cylinders
… for the lift, which combines the van der Pol and Duffing equations. We proposed a two-term quadratic model that relates the drag and lift coefficients, which reproduces the phase relationship between the drag and lift and its variation with the Reynolds number. We found that a mixed-type (external …
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