Results 11 to 20 of about 233,327 (304)
Perturbation Methods for the Eigencharacteristics of Symmetric and Asymmetric Systems
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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A method of averaging along characteristics of weakly nonlinear hyperbolic systems, which was presented in earlier works of the author for one dimensional waves, is generalized for some cases of multidimensional wave problems.
Aleksandras Krylovas
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The mathematical model of nonlinear oscillations of weightless string is analyzed. To find an asymptotic solution of the problem, uniformly valid in a long interval of time, an averaged system of integral differential equations has been constructed.
A. Krylovas +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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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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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raffaele D'Ambrosio +2 more
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Perturbative subtraction methods [PDF]
Talk presented at LATTICE99(algorithms)
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Kruskal's Perturbation Method [PDF]
A general method for eliminating the angle variable from the equations of a perturbed periodic motion and for deriving an ``adiabatic invariant'' J has been given by Kruskal and, for a special class of Hamiltonian systems, McNamara and Whiteman have shown (to order ε2) that J is related to a set of invariants I obtained from the expansion of Poisson ...
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The vibration of nanobeam resting on elastic foundation using modified couple stress theory
In this paper, the vibration of nanobeams resting on the Winkler foundation is proposed using the modified couple stress theory. Hamilton’s principle is utilized to construct the governing equations.
Necla Togun, Süleyman M. Bağdatli
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An upper bound for validity limits of asymptotic analytical approaches based on normal form theory [PDF]
Perturbation methods are routinely used in all fields of applied mathematics where analytical solutions for nonlinear dynamical systems are searched.
LAMARQUE, Claude-Henri +2 more
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