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Bifurcation analysis of bistable oscillator dynamics for human hair-cell bundle structures by map** the Floquet multipliers
This study presents an initial study on the bifurcation analysis of bistable oscillator dynamics for human hair-cell bundle structures. The hair-cell...
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Chip-scale Floquet topological insulators for 5G wireless systems
Floquet topological insulators, which have an exotic topological order sustained by time-varying Hamiltonians, could be of use in a range of...
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Dynamic behavior analysis of tethered satellite system based on Floquet theory
In this paper, an n -star general dynamic model of tethered satellite system with closed-loop configuration is provided. An analytical method for...
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On Unified Formulation of Floquet Propagator in Cartesian and Polar Coordinates
A modified formulation of Floquet propagator is proposed to analyze free wave motion in homogeneous and periodic waveguides both in the Cartesian and...
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Band Gaps in Metamaterial Plates: Asymptotic Homogenization and Bloch-Floquet Approaches
In this work, we study the transversal vibration of thin periodic elastic plates through asymptotic homogenization. In particular, we consider soft...
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Sorting-free Hill-based stability analysis of periodic solutions through Koopman analysis
In this paper, we aim to study nonlinear time-periodic systems using the Koopman operator, which provides a way to approximate the dynamics of a...
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Periodic System Approximation for Operational Modal Analysis of Operating Wind Turbine
The inherent modelling of the operational wind turbines and rotating machines do not agree in general with the assumptions of the operational modal...
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Numerical Analysis of Vibration Attenuation and Bandgaps in Radially Periodic Plates
ObjectivePeriodic configuration of mechanical and civil structures has shown great potential for noise and vibration reduction. However, the use of...
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Application of the Conformal Map** Method for the Calculation of the Characteristic Impedance of the Floquet Channel for the Ultrawideband Cophased Antenna Array Consisting of TEM Horns
AbstractA method is developed for the analysis of an infinite cophased ultrawideband array consisting of TEM horns. The method is based on the theory...
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Floquet analysis on a viscous cylindrical fluid surface subject to a time-periodic radial acceleration
Parametrically excited standing waves are observed on a cylindrical fluid filament. This is the cylindrical analog of the Faraday instability in a...
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Parametric Vibration Stability Analysis of an Axially Moving Plate with Periodical Distributed Materials
BackgroundsThe axially moving structures are commonly seen in the transporting belt, the tracks of heavy engineering vehicles and the manufacturing...
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A nonlinear analysis of a Duffing oscillator with a nonlinear electromagnetic vibration absorber–inerter for concurrent vibration mitigation and energy harvesting
Several investigators have taken advantage of electromagnetic shunt-tuned mass dampers to achieve concurrent vibration mitigation and energy...
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Stability and Convergence Analysis of the Harmonic Balance Method for a Duffing Oscillator with Free Play Nonlinearity
In this work, we determine the quality of the harmonic balance method (HBM) using a single degree-of-freedom forced Duffing oscillator with free...
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Nonlinear free vibration analysis of doubly curved shells
In this work, Sanders–Koiter’s nonlinear shell theory is applied to study the nonlinear moderate-amplitude vibrations of doubly curved shells using...
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Analysis and Control of Linear Time Periodic System using Normal Forms
Multiple techniques have been developed in the past towards stability and control of linear time periodic systems. Though the method of normal forms...
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A direct analysis and control of nonlinear time-variant spacecraft dynamics in the vicinity of small irregularly shaped bodies
Development of comprehensive analytical models that describe motion in the vicinity of small irregularly shaped bodies is faced with numerous...
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Nonlinear dynamics and stability analysis of dry friction damper for supercritical transmission shaft
Supercritical transmission shafts—those which have one or more critical speeds below their operation speeds—are becoming more popular in new armored...
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Parametric Vibration Stability Analysis of a Pyramid Lattice Sandwich Plate Subjected to Pulsatile External Airflow
Lattice sandwich structures are broadly used in aerospace, navigation, and high-speed rail engineering. In engineering practice, the airflow outside...
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Brief Introduction to the Theory of Parametric Resonance
In these lecture notes, we present a basic mathematical theory of parametric resonance. This includes the Floquet stability theory for periodic...