Results 1 to 10 of about 207,311 (157)
Nonlinear dynamics and stability of a homogeneous model of tall buildings under resonant action [PDF]
Journal of Applied and Computational Mechanics, 2021 A homogeneous model of beam-like structure, roughly portraying the mechanical behavior of a tall building, is considered to address nonlinear dynamic response in case of external resonant excitation. A symmetric layout of the building is considered, so
Daniele Zulli, Angelo Luongo
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Substantiation of asymptotical solution of weakly nonlinear hyperbolic system
Lietuvos Matematikos Rinkinys, 2023 A hyperbolic system of first order partial differential equations with small parameter and periodical initial conditions is obtained. The uniformly valid in a long time interval asymptotical solution can be constructed using the averaging along ...
Aleksandras Krylovas
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High-Frequency Instabilities of a Boussinesq–Whitham System: A Perturbative Approach
Fluids, 2021 We analyze the spectral stability of small-amplitude, periodic, traveling-wave solutions of a Boussinesq–Whitham system. These solutions are shown numerically to exhibit high-frequency instabilities when subject to bounded perturbations on the real line.
Ryan Creedon +2 more
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Resonance in the Cart-Pendulum System—An Asymptotic Approach
Applied Sciences, 2021 The major objective of this research is to study the planar dynamical motion of 2DOF of an auto-parametric pendulum attached with a damped system. Using Lagrange’s equations in terms of generalized coordinates, the fundamental equations of motion (EOM ...
Wael S. Amer +3 more
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Mathematics, 2023 This paper focuses on the modification of the large parameter approach (LPA), a novelty procedure, for estimating the periodic solutions of two degrees-of-freedom (DOF) autonomous quasi-linear systems with a first integral.
A. I. Ismail, T. S. Amer, W. S. Amer
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Existence Results for the Conformal Dirac–Einstein System
Advanced Nonlinear Studies, 2021 We consider the coupled system given by the first variation of the conformal Dirac–Einstein functional. We will show existence of solutions by means of perturbation methods.
Guidi Chiara +2 more
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Journal of Modern Power Systems and Clean Energy, 2022 This letter extends the complex-variable perturbed Gauss-Newton method to estimate the state of unbalanced power systems by exploiting the Fortescue transformation.
Izudin Dzafic
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Analytical and numerical analysis of nonisothermal compressible rarefied gas flow between parallel plates [PDF]
Theoretical and Applied Mechanics, 2023 When dimensions of the flow domain become small, such as in the micro-electro-mechanical systems (MEMS) and nano-electro-mechanical systems (NEMS), rarefaction effects become more prominent.
Vulićević Petar V. +2 more
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Flexural-Torsional Galloping of Prismatic Structures with Double-Symmetric Cross-Section [PDF]
Journal of Applied and Computational Mechanics, 2021 The linear galloping of prismatic structures having double-symmetric cross-section, subjected to steady wind flow acting along a symmetry axis, is investigated. The continuous system is reduced to a three degree-of-freedom system via a Galerkin approach.
Angelo Luongo +2 more
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Homotopy perturbation method coupled with the enhanced perturbation method [PDF]
Journal of Low Frequency Noise, Vibration and Active Control, 2018 The enhanced perturbation method is used to improve a governing equation to a higher order, followed by the classic perturbation method. This paper adopts the basic idea of the method to construct a homotopy equation with a higher order. The results show that this modification of the homotopy perturbation method leads to a very high accuracy of the ...
Xiao-Xia Li, Chun-Hui He
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