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Effects of strong parametric excitation on cantilever beam: non-perturbative approach. [PDF]
Moatimid GM, Amer TS, Elagamy K.
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Nonlinear Dynamics, Chaos, and Mechanics
Applied Mechanics Reviews, 1990Nonlinear Dynamics or “Chaos Theory” is an ill-defined but energetic and rapidly developing subject which cuts across the boundaries of traditional disciplines. In this review, I describe a small part of it: some of the analytical approaches to nonlinear differential equations which have been developed in the last ten to fifteen years.
Philip Holmes
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Nonextensive Statistical Mechanics and Nonlinear Dynamics
Lecture Notes in Physics, 2008This chapter addresses turbulence and related questions from a statistical– mechanical viewpoint. More precisely, as one of the many existing realizations of nontrivial–nonlinear dynamical phenomena, which stands at the grounding of statistical mechanics itself.
Constantino Tsallis
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Quantum Mechanics, Nonlinear Dynamics, and Correlated Statistical Mechanics
AIP Conference Proceedings, 2007Many of the so‐called paradoxes of orthodox quantum mechanics can be shown to have parallel, more logical interpretations in the realm of nonlinear dynamics and chaos theory. Among these are violations of Bell‐type inequalities, which in comparing “classical” mechanics with quantum mechanics implicitly compare uncorrelated and correlated statistics ...
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Nonlinear dynamics of new magneto-mechanical oscillator
Communications in Nonlinear Science and Numerical Simulation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhifeng Hao +2 more
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Nonlinear Dynamics in Mechanical Vibrations
American Journal Of Engineering Mathematics, 2020Mechanical vibrations in engineering systems often exhibit nonlinear behavior due to material properties, large deformations, or complex boundary conditions. Nonlinear dynamics provides the theoretical and computational tools necessary to analyze such vibrations beyond the limitations of linear models.
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Learning the nonlinear dynamics of mechanical metamaterials with graph networks
International Journal of Mechanical Sciences, 2022The dynamics of soft mechanical metamaterials provides opportunities for many exciting engineering applications. Previous works have shown tremendous success in describing the unique nonlinear dynamics of certain types of soft mechanical metamaterials.
Tianju Xue +2 more
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Nonlinear dynamics of planetary roller screw mechanism
Chaos: An Interdisciplinary Journal of Nonlinear ScienceThe synchronous meshing of the gear pair and the screw pair is a typical feature of the planetary roller screw mechanism. In order to fully derive and analyze the nonlinear dynamic characteristics of the system, this paper creatively incorporates the time-varying meshing stiffness of gear pair and the comprehensive transmission error into the research ...
Shuai Mo +6 more
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