Chaotic dynamics of flexible beams driven by external white noise (original) (raw)

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Analysis of Chaotic Vibrations of Flexible Plates Using Fast Fourier Transforms and Wavelets Cover Page

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Analysis of chaotic vibrations for the distributed systems in the form of the Bernoulli-Euler beams using the wavelet transform Cover Page

Chaotic vibrations of flexible infinitely length plates

In this paper chaotic vibrations of flexible infinitely length plates are studied. In particular, various wavelets are applied in order to achieve the reliable and validated results. In addition, charts of vibrational regimes including regular, chaotic and bifurcational dynamics are constructed.

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Chaotic vibrations of flexible infinitely length plates Cover Page

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Chaotic analysis of Kelvin–Voigt viscoelastic plates under combined transverse periodic and white noise excitation: an analytic approach Cover Page

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Investigations of chaotic dynamics of multi-layer beams taking into account rotational inertial effects Cover Page

Dynamic Response of Non-linear Beam Structures in Deterministic and Chaos Perspective

Indonesian Journal of Physics, 2019

The behavior of large deformation beam structures can be modeled based on non-linear geometry due to geometricnonlinearity mid-plane stretching in the presence of axial forces, which is a form a nonlinear beam differential equationof Duffing equation type. Identification of dynamic systems from nonlinear beam differential equations fordeterministic and chaotic responses based on time history, phase plane and Poincare mapping. Chaotic response basedon time history is very sensitive to initial conditions, where small changes to initial terms leads to significant change inthe system, which in this case are displacement x (t) and velocity x’(t) as time increases (t). Based on the phase plane, itshows irregular and non-stationary trajectories, this can also be seen in Poincare mapping which shows strange attractorand produces a fractal pattern. The solution to this Duffing type equation uses the Runge-Kutta numerical method withMAPLE software application.

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Dynamic Response of Non-linear Beam Structures in Deterministic and Chaos Perspective Cover Page

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Chaos and Unpredictability in the Vibration of an Elasto-Plastic Beam Cover Page

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Analysis of Non-Linear Vibrations of Single-Layered Euler-Bernoulli Beams using Wavelets Cover Page

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Chaos in one-dimensional structural mechanics Cover Page

Stochastic free vibration of orthotropic plates using generalized polynomial chaos expansion

Journal of Sound and Vibration, 2012

This paper presents the theory and application of the generalized polynomial chaos expansion for the stochastic free vibration of orthotropic plates. Specifically, the stochastic analysis of orthotropic plates under the uncertainties in elasticity moduli is investigated. The uncertain moduli, eigen-frequencies and eigen-modes of the plates are represented by truncated polynomial chaos expansions with arbitrary random basis. The expansions are substituted in the governing differential equations to calculating the polynomial chaos coefficients of the eigen-frequencies and the eigen-modes. Distribution functions of the uncertain moduli are derived from experimental data where the Pearson model is used to identify the type of density functions. This realization then is employed to construct random orthogonal basis for each uncertain parameter. Because of available experimental modal analysis data, this paper provides a useful practical example on the efficacy of polynomial chaos where the statistical moments and the probability distributions of modal responses are compared with experimental results.

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Stochastic free vibration of orthotropic plates using generalized polynomial chaos expansion Cover Page