Perturbation Methods for the Eigencharacteristics of Symmetric and Asymmetric Systems [PDF]
Dynamic analysis for a vibratory system typically begins with an evaluation of its eigencharacteristics. However, when design changes are introduced, the eigensolutions of the system change and thus must be recomputed.
Philip D. Cha, Austin Shin
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Substantiation of asymptotical solution of weakly nonlinear hyperbolic system
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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Nonlinear dynamics and stability of a homogeneous model of tall buildings under resonant action [PDF]
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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Features, logits, and labels are the three primary data when a sample passes through a deep neural network. Feature perturbation and label perturbation receive increasing attention in recent years.
Wu, Ou +3 more
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Analytical and numerical analysis of nonisothermal compressible rarefied gas flow between parallel plates [PDF]
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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Influence of the Motion of a Spring Pendulum on Energy-Harvesting Devices
Energy harvesting is becoming more and more essential in the mechanical vibration application of many devices. Appropriate devices can convert the vibrations into electrical energy, which can be used as a power supply instead of ordinary ones. This study
Mohamed K. Abohamer +4 more
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High-Frequency Instabilities of a Boussinesq–Whitham System: A Perturbative Approach
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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Flexural-Torsional Galloping of Prismatic Structures with Double-Symmetric Cross-Section [PDF]
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]
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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Resonance in the Cart-Pendulum System—An Asymptotic Approach
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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