Journal ArticleDOI
Analytical and experimental studies on out-of-plane dynamic parametric instability of a circular arch under a vertical harmonic base excitation
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TLDR
In this article, the authors investigated the out-of-plane dynamic stability of an arch under a vertical periodical base excitation by using both analytical and experimental methods and proposed a method of time domain analytical solution to determine the critical excitation frequencies.About:
This article is published in Journal of Sound and Vibration.The article was published on 2021-05-26. It has received 10 citations till now. The article focuses on the topics: Arch & Instability.read more
Citations
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Nonlinear forced vibration and dynamic buckling of FG graphene-reinforced porous arches under impulsive loading
TL;DR: In this paper , the nonlinear forced vibration and dynamic buckling of fixed functionally graded graphene platelet-reinforced (FG-GPLRC) porous arches under impulsive loading are investigated.
Journal Article
Bifurcation analysis of an arch structure with parametric and forced excitation in the case of primary resonance
TL;DR: In this article, the primary resonance bifurcation problem for an arch structure with parametric and forced excitation was studied by means of singularity theory, and the amplitude-frequency curve and some dynamical behavior were shown by some researchers.
Thermomechanical in-plane dynamic instability of asymmetric restrained functionally graded graphene reinforced composite arches via machine learning-based models
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In-plane dynamic instability of functionally graded porous arches reinforced by graphene platelet under a vertical base excitation
TL;DR: In this paper , the in-plane dynamic instability of GPL circular arches made of graphene platelets reinforced composites under a vertical base excitation was investigated and the elastic modulus and mass density of the arch were predicated according to Halpin-Tsai micromechanics model and rule of mixture, respectively.
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A hybrid algorithm for modeling and studying of the effect of material and mechanical uncertainties on stability of sandwich FGM materials under thermal shock
TL;DR: In this paper , the point estimation method and the artificial neural network-based algorithm were used to simulate the sources of uncertainty and to extract the statistical properties including the mean value, standard deviation, probability density functions (PDF), and cumulative distribution functions (CDF).
References
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Book
Multiple Scale and Singular Perturbation Methods
J. Kevorkian,Julian D. Cole +1 more
TL;DR: In this article, the authors present a model for singular boundary problems with variable coefficients and a method of multiple scale expansions for Ordinary Differential Equations (ODE) in the standard form.
Journal ArticleDOI
A new approach to solving the cubic : Cardan's solution revealed
TL;DR: The cubic holds a double fascination, since not only is it interesting in its own right, but its solution is also the key to solving quartics as mentioned in this paper, which is also known as Cardan's solution.
Fast fourier transform algorithms with applications
Shuhong Gao,Todd Mateer +1 more
TL;DR: This book presents an introduction to the principles of the fast Fourier transform, which covers FFTs, frequency domain filtering, and applications to video and audio signal processing.
Journal ArticleDOI
Vibration damping characteristics of carbon fiber-reinforced composites containing multi-walled carbon nanotubes
TL;DR: In this paper, the damping properties of carbon fiber reinforced polymer composites (CFRP) and nanocomposites containing multiwall carbon nanotubes (CNTs) were studied using the free and forced vibration tests.