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Relevant bibliographies by topics / Nonlinear sonic vacuum

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Academic literature on the topic 'Nonlinear sonic vacuum'

Author: Grafiati

Published: 30 May 2022

Last updated: 31 July 2025

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Journal articles on the topic "Nonlinear sonic vacuum"

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Sminrov, V. V., and L. I. Manevitch. "Forced oscillations of the string under conditions of ‘sonic vacuum’." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2127 (2018): 20170135. http://dx.doi.org/10.1098/rsta.2017.0135.

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We present the results of analytical study of the significant regularities which are inherent to forced nonlinear oscillations of a string with uniformly distributed discrete masses, without its preliminary stretching. It was found recently that a corresponding autonomous system admits a series of nonlinear normal modes with a lot of possible intermodal resonances and that similar synchronized solutions can exist in the presence of a periodic external field also. The paper is devoted to theoretical explanation of numerical data relating to one of possible scenarios of intermodal interaction wh

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2

Nesterenko, Vitali F. "Waves in strongly nonlinear discrete systems." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2127 (2018): 20170130. http://dx.doi.org/10.1098/rsta.2017.0130.

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The paper presents the main steps in the development of the strongly nonlinear wave dynamics of discrete systems. The initial motivation was prompted by the challenges in the design of barriers to mitigate high-amplitude compression pulses caused by impact or explosion. But this area poses a fundamental mathematical and physical problem and should be considered as a natural step in developing strongly nonlinear wave dynamics. Strong nonlinearity results in a highly tunable behaviour and allows design of systems with properties ranging from a weakly nonlinear regime, similar to the classical ca

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3

Koroleva (Kikot), I. P., L. I. Manevitch, and Alexander F. Vakakis. "Non-stationary resonance dynamics of a nonlinear sonic vacuum with grounding supports." Journal of Sound and Vibration 357 (November 2015): 349–64. http://dx.doi.org/10.1016/j.jsv.2015.07.026.

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Cooke, D. H. "On Prediction of Off-Design Multistage Turbine Pressures by Stodola’s Ellipse." Journal of Engineering for Gas Turbines and Power 107, no. 3 (1985): 596–606. http://dx.doi.org/10.1115/1.3239778.

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The variation of extraction pressures with flow to the following stage for high backpressure, multistage turbine designs is highly nonlinear in typical cogeneration applications where the turbine nozzles are not choked. Consequently, the linear method based on Constant Flow Coefficient, which is applicable for uncontrolled expansion with high vacuum exhaust, as is common in utility power cycles, cannot be used to predict extraction pressures at off-design loads. The paper presents schematic examples and brief descriptions of cogeneration designs, with background and theoretical derivation of a

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Pozharskiy, D., Y. Zhang, M. O. Williams, et al. "Nonlinear resonances and antiresonances of a forced sonic vacuum." Physical Review E 92, no. 6 (2015). http://dx.doi.org/10.1103/physreve.92.063203.

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Kevorkov, S. S., I. P. Koroleva, V. V. Smirnov, and L. I. Manevitch. "Forced Oscillations of the Discrete Membrane Under Conditions of “Sonic Vacuum”." Journal of Applied Mechanics 87, no. 11 (2020). http://dx.doi.org/10.1115/1.4047812.

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Abstract This study presents a new analytical model for nonlinear dynamics of a discrete rectangular membrane that is subjected to external harmonic force. It has recently been shown that the corresponding autonomous system admits a series of nonlinear normal modes. In this paper, we describe stationary and non-stationary dynamics on a single mode manifold. We suggest a simple formula for the amplitude-frequency response in both conservative and non-conservative cases and present an analytical expression (in parametric space) for thresholds for all possible bifurcations. Theoretical results ob

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Gendelman, O. V., V. Zolotarevskiy, A. V. Savin, L. A. Bergman, and A. F. Vakakis. "Accelerating oscillatory fronts in a nonlinear sonic vacuum with strong nonlocal effects." Physical Review E 93, no. 3 (2016). http://dx.doi.org/10.1103/physreve.93.032216.

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Starosvetsky, Y., and Y. Ben-Meir. "Nonstationary regimes of homogeneous Hamiltonian systems in the state of sonic vacuum." Physical Review E 87, no. 6 (2013). http://dx.doi.org/10.1103/physreve.87.062919.

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Chen, Gui-Qiang G., Alexander J. Cliffe, Feimin Huang, Song Liu, and Qin Wang. "Global solutions of the two-dimensional Riemann problem with four-shock interactions for the Euler equations of potential flow." Journal of the European Mathematical Society, April 14, 2025. https://doi.org/10.4171/jems/1622.

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We present a rigorous approach and related techniques to construct global solutions of the two-dimensional (2-D) Riemann problem with four-shock interactions for the Euler equations of potential flow. With the introduction of three critical angles: the vacuum critical angle from the compatibility conditions, and the sonic and detachment angles—whose existence and uniqueness follow from our rigorous proof of the strict monotonicity of the steady detachment and sonic angles for 2-D steady potential flow with respect to the upstream Mach number, we classify all configurations of the Riemann solut

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Dissertations / Theses on the topic "Nonlinear sonic vacuum"

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Vakakis, Alexander. "Nonlinear Sonic Vacua." Thesis, NTU "KhPI", 2016. http://repository.kpi.kharkov.ua/handle/KhPI-Press/24954.

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We will present recent results on a special class of dynamical systems designated as nonlinear sonic vacua. These systems are non-linearizable, and have zero speed of sound (in the sense of classical acoustics). Accordingly, their dynamics and acoustics are highly degenerate and tunable with energy, enabling new and highly complex nonlinear phenomena. Two examples of sonic vacua will be discussed. The first is uncompressed ordered granular media, which, depending on their local state, behave either as strongly nonlinear and non-smooth dynamical systems (in the absence of strong local comp

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