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Journal articles on the topic 'Linearized Driving Forces'

Author: Grafiati

Published: 6 September 2023

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1

Ye, Xiu Qian, Yi Bao Chen, Bih Sheng Hsu, and Yuh Chung Hu. "On the Dynamics of the Micro-Ring Driven by Traveling Bias Voltages." Advanced Materials Research 311-313 (August 2011): 1027–31. http://dx.doi.org/10.4028/www.scientific.net/amr.311-313.1027.

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There is no literature mentioned the modeling of the microstructures subjected to traveling electrostatic forces. This paper is the first time to present an analytical approach to investigate the dynamics of a micro-ring structure driven by the traveling bias voltage. The traveling electrostatic forces may come from the sequentially-actuated actuating electrodes arranged around the flexible ring. A linearized distributed model considering the electromechanical coupling effect is derived based on the small deflection assumption. According to the analytical results, the stiffness of the micro-ri

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2

Lee, Hyeongcheol, and Masayoshi Tomizuka. "Coordinated Longitudinal and Lateral Motion Control of Vehicles for IVHS." Journal of Dynamic Systems, Measurement, and Control 123, no. 3 (1998): 535–43. http://dx.doi.org/10.1115/1.1386395.

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This paper presents a systematic design of the combined control of vehicle longitudinal and lateral motions for the Intelligent Vehicle Highway Systems (IVHS). A fully coordinated control of the steering and the accelerating/braking actions is presented to maximize the ability of distributing the traction forces in a desired way. This control method covers a broad range of driving condition by removing several conventional simplification on vehicle dynamics, such as the linearized lateral traction force assumption, the bicycle model assumption, and the non-slip assumption. The nominal traction

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Candioti, Lorenzo G., Thibault Duretz, Evangelos Moulas, and Stefan M. Schmalholz. "Buoyancy versus shear forces in building orogenic wedges." Solid Earth 12, no. 8 (2021): 1749–75. http://dx.doi.org/10.5194/se-12-1749-2021.

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Abstract. The dynamics of growing collisional orogens are mainly controlled by buoyancy and shear forces. However, the relative importance of these forces, their temporal evolution and their impact on the tectonic style of orogenic wedges remain elusive. Here, we quantify buoyancy and shear forces during collisional orogeny and investigate their impact on orogenic wedge formation and exhumation of crustal rocks. We leverage two-dimensional petrological–thermomechanical numerical simulations of a long-term (ca. 170 Myr) lithosphere deformation cycle involving subsequent hyperextension, cooling,

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Bell, Michael J., Adam T. Blaker, and Joël J. M. Hirschi. "Wind-Driven Oscillations in Meridional Overturning Circulations near the Equator. Part II: Idealized Simulations." Journal of Physical Oceanography 51, no. 3 (2021): 663–83. http://dx.doi.org/10.1175/jpo-d-19-0297.1.

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AbstractLarge-amplitude [±100 Sv (1 Sv ≡ 106 m3 s−1)], high-frequency oscillations in the Pacific Ocean’s meridional overturning circulation within 10° of the equator have been found in integrations of the NEMO ocean general circulation model. Part I of this paper showed that these oscillations are dominated by two bands of frequencies with periods close to 4 and 10 days and that they are driven by the winds within about 10° of the equator. This part shows that the oscillations can be well simulated by small-amplitude, wind-driven motions on a horizontally uniform, stably stratified state of r

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KACHURIN, Nikolai, Galina STAS, and Alexander KACHURIN. "DYNAMICS OF GAS EMISSION FROM EXPOSED SURFACE OF GAS-BEARING COAL SEAMS HAVING MEDIUM THICKNESS." Sustainable Development of Mountain Territories 13, no. 3 (2021): 441–48. http://dx.doi.org/10.21177/1998-4502-2021-13-3-441-448.

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The goal of the research was to clarify the regularities of the dynamics of gas release from the surface of the outcrop of the developed coal seam. The main research methods were theoretical methods of mathematical physics and non-equilibrium thermodynamics. Gas-bearing coal seams are usually mined underground. When driving development workings, outcropping surfaces of gas-bearing coal seams appear and gases in the seams under excessive pressure are released into the atmosphere of the mine workings. Gas-bearing coal seams are usually mined underground. When driving preparatory workings, surfac

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Jang, Hyun M., and Nong M. Hwang. "Theory of the charged cluster formation in the low pressure synthesis of diamond: Part II. Free energy function and thermodynamic stability." Journal of Materials Research 13, no. 12 (1998): 3536–49. http://dx.doi.org/10.1557/jmr.1998.0482.

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To account for the dominant formation of diamond over graphite in the gas-activated chemical vapor deposition (CVD) process we have theoretically examined the free energy function of a small carbon-atom cluster as a function of the cluster size. The scalar potential around a charged spherical cluster was derived using the linearized Poisson–Boltzmann equation. It was shown that the repulsive electrostatic energy associated with the growth of the charged diamond cluster was proportional to the fifth power of the cluster size. This suggests the existence of a deep potential-energy-well for the c

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7

Alifov, Alishir. "Mixed forced, parametric, and self-oscillations with nonideal energy source and lagging forces." Izvestiya VUZ. Applied Nonlinear Dynamics 29, no. 5 (2021): 739–50. http://dx.doi.org/10.18500/0869-6632-2021-29-5-739-750.

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The purpose of this study is to determine the effect of retarded forces in elasticity and damping on the dynamics of mixed forced, parametric, and self-oscillations in a system with limited excitation. A mechanical frictional self-oscillating system driven by a limited-power engine was used as a model. Methods. In this work, to solve the nonlinear differential equations of motion of the system under consideration, the method of direct linearization is used, which differs from the known methods of nonlinear mechanics in ease of use and very low labor and time costs. This is especially important

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8

VARDANYAN, A., and A. KTEYAN. "STOCHASTIC DYNAMICS OF DC AND AC DRIVEN DISLOCATION KINKS." International Journal of Modern Physics B 27, no. 04 (2012): 1250206. http://dx.doi.org/10.1142/s0217979212502062.

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Dynamics of a pinned dislocation kink controlled by the acting DC and AC forces is studied analytically. The motion of the kink, described by sine-Gordon (sG) equation, is explored within the framework of McLaughlin–Scott perturbation theory. Assuming weakness of the acting AC force, the equation of motion of the dislocation kink in the pinning potential is linearized. Based on the equations derived, we study stochastic behavior of the kink, and determine the probability of its depinning. The dependencies of the depinning probability on DC and AC forces are analyzed in detail.

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9

de la Cruz, H., J. C. Jimenez, and J. P. Zubelli. "Locally Linearized methods for the simulation of stochastic oscillators driven by random forces." BIT Numerical Mathematics 57, no. 1 (2016): 123–51. http://dx.doi.org/10.1007/s10543-016-0620-2.

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10

Perig, Alexander V., Alexander N. Stadnik, Alexander I. Deriglazov, and Sergey V. Podlesny. "3 DOF Spherical Pendulum Oscillations with a Uniform Slewing Pivot Center and a Small Angle Assumption." Shock and Vibration 2014 (2014): 1–32. http://dx.doi.org/10.1155/2014/203709.

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The present paper addresses the derivation of a 3 DOF mathematical model of a spherical pendulum attached to a crane boom tip for uniform slewing motion of the crane. The governing nonlinear DAE-based system for crane boom uniform slewing has been proposed, numerically solved, and experimentally verified. The proposed nonlinear and linearized models have been derived with an introduction of Cartesian coordinates. The linearized model with small angle assumption has an analytical solution. The relative and absolute payload trajectories have been derived. The amplitudes of load oscillations, whi

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11

Witte, M. G., and G. J. Savonije. "Forced Nonradial Oscillations in Early-Type Rotating Stars." International Astronomical Union Colloquium 176 (2000): 376. http://dx.doi.org/10.1017/s0252921100058085.

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A method of calculating nonradial oscillations in rotating stars is presented. Using this method, we are able to calculate the spectrum of g-, f- and p-mode eigenfunctions of a star for different stellar rotation speeds, and also the spectrum of rotational r modes. Stability of the modes as a function of stellar rotation speed can be investigated. By regarding the response of a star which undergoes periodic deformations due to the gravitational force of an orbiting companion as a forced nonradial oscillation, the problem of determining the eigenfrequencies of the star becomes one of finding re

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12

Meng, Qingheng, Yuanlin Zhang, Jin Wei, Yuh-Chung Hu, Yan Shi, and Tao Yu. "Dynamic Characteristics of Microring Driven by the Symmetrically Distributed Electrostatic Force." Complexity 2021 (February 4, 2021): 1–12. http://dx.doi.org/10.1155/2021/1926052.

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This paper aims at investigating the dynamic characteristics of a microring driven by dual arch electrodes because they are basic elements of microelectrostatic motors. The dual arch electrodes surround the periphery of the microring and are arranged symmetrically to the center of the ring. The electrodes are fixed while the microring is flexible. The electrostatic force will deform the microring, while the deflection of the microring changes the gap between the microring and the electrodes, thereby changing the electrostatic force. Therefore, this is an electromechanical coupling effect. The

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13

Jeong, Sumin, and Natalie Baddour. "Vibrations due to Flow-Driven Repeated Impacts." Mathematical Problems in Engineering 2013 (2013): 1–17. http://dx.doi.org/10.1155/2013/760939.

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We consider a two-degree-of-freedom model where the focus is on analyzing the vibrations of a fixed but flexible structure that is struck repeatedly by a second object. The repetitive impacts due to the second mass are driven by a flowing fluid. Morison’s equation is used to model the effect of the fluid on the properties of the structure. The model is developed based on both linearized and quadratic fluid drag forces, both of which are analyzed analytically and simulated numerically. Conservation of linear momentum and the coefficient of restitution are used to characterize the nature of the

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14

BERTOZZI, ANDREA L., ANDREAS MÜNCH, MICHAEL SHEARER, and KEVIN ZUMBRUN. "Stability of compressive and undercompressive thin film travelling waves." European Journal of Applied Mathematics 12, no. 3 (2001): 253–91. http://dx.doi.org/10.1017/s0956792501004466.

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Recent studies of liquid films driven by competing forces due to surface tension gradients and gravity reveal that undercompressive travelling waves play an important role in the dynamics when the competing forces are comparable. In this paper, we provide a theoretical framework for assessing the spectral stability of compressive and undercompressive travelling waves in thin film models. Associated with the linear stability problem is an Evans function which vanishes precisely at eigenvalues of the linearized operator. The structure of an index related to the Evans function explains computatio

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15

Park, Kiwan, Myung Ki Cheoun та Chang-Bae Kim. "Turbulent Magnetic Diffusivity β Effect in a Magnetically Forced System". Astrophysical Journal 944, № 1 (2023): 2. http://dx.doi.org/10.3847/1538-4357/ac9bf9.

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Abstract We have studied the large-scale dynamo forced with helical magnetic energy. Compared to the kinetic forcing process, the magnetic process is not clearly observed nor intuitive. However, it may represent the actual B field amplification in the stellar corona, accretion disk, plasma lab, or other magnetically dominated systems where the strong kinetic effect does not exist. The interaction between the magnetic field and the plasma is essentially nonlinear. However, when the plasma system is driven by helical energy, whether kinetic or magnetic, the nonlinear process can be linearized wi

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16

Holt, Chris, Luis San Andre´s, Sunil Sahay, Peter Tang, Gerry La Rue, and Kostandin Gjika. "Test Response and Nonlinear Analysis of a Turbocharger Supported on Floating Ring Bearings." Journal of Vibration and Acoustics 127, no. 2 (2005): 107–15. http://dx.doi.org/10.1115/1.1857922.

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Measurements of casing acceleration on an automotive turbocharger running to a top speed of 115 krpm and driven by ambient temperature pressurized air are reported. Waterfall acceleration spectra versus rotor speed show the effects of increasing lubricant inlet pressure and temperature on turbocharger rotordynamic response. A comprehensive analysis of the test data shows regimes of speed operation with two subsynchronous whirl motions (rotordynamic instabilities). Increasing the lubricant feed pressure delays the onset speed of instability for the most severe subsynchronous motion. However, in

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17

Ortuño-Macías, José, Krzysztof Nalewajko, Dmitri A. Uzdensky, et al. "Kinetic Simulations of Instabilities and Particle Acceleration in Cylindrical Magnetized Relativistic Jets." Astrophysical Journal 931, no. 2 (2022): 137. http://dx.doi.org/10.3847/1538-4357/ac6acd.

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Abstract Relativistic magnetized jets, such as those from AGN, GRBs, and XRBs, are susceptible to current- and pressure-driven MHD instabilities that can lead to particle acceleration and nonthermal radiation. Here, we investigate the development of these instabilities through 3D kinetic simulations of cylindrically symmetric equilibria involving toroidal magnetic fields with electron–positron pair plasma. Generalizing recent treatments by Alves et al. and Davelaar et al., we consider a range of initial structures in which the force due to toroidal magnetic field is balanced by a combination o

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18

McGregor, Shayne, Neil J. Holbrook, and Scott B. Power. "The Response of a Stochastically Forced ENSO Model to Observed Off-Equatorial Wind Stress Forcing." Journal of Climate 22, no. 10 (2009): 2512–25. http://dx.doi.org/10.1175/2008jcli2387.1.

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Abstract This study investigates the response of a stochastically forced coupled atmosphere–ocean model of the equatorial Pacific to off-equatorial wind stress anomaly forcing. The intermediate-complexity coupled ENSO model comprises a linear, first baroclinic mode, ocean shallow water model with a steady-state, two–pressure level (250 and 750 mb) atmospheric component that has been linearized about a state of rest on the β plane. Estimates of observed equatorial region stochastic forcing are calculated from NCEP–NCAR reanalysis surface winds for the period 1950–2006 using singular value decom

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19

Mao, Sen, Changchuan Xie, Lan Yang, and Chao Yang. "Static Aeroelastic Characteristics of Morphing Trailing-Edge Wing Using Geometrically Exact Vortex Lattice Method." International Journal of Aerospace Engineering 2019 (November 16, 2019): 1–15. http://dx.doi.org/10.1155/2019/5847627.

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A morphing trailing-edge (TE) wing is an important morphing mode in aircraft design. In order to explore the static aeroelastic characteristics of a morphing TE wing, an efficient and feasible method for static aeroelastic analysis has been developed in this paper. A geometrically exact vortex lattice method (VLM) is applied to calculate the aerodynamic forces. Firstly, a typical model of a morphing TE wing is chosen and built which has an active morphing trailing edge driven by a piezoelectric patch. Then, the paper carries out the static aeroelastic analysis of the morphing TE wing and corre

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20

Kimura, Y., and H. K. Moffatt. "Reconnection of skewed vortices." Journal of Fluid Mechanics 751 (June 20, 2014): 329–45. http://dx.doi.org/10.1017/jfm.2014.233.

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AbstractBased on experimental evidence that vortex reconnection commences with the approach of nearly antiparallel segments of vorticity, a linearised model is developed in which two Burgers-type vortices are driven together and stretched by an ambient irrotational strain field induced by more remote vorticity. When these Burgers vortices are exactly antiparallel, they are annihilated on the strain time-scale, independent of kinematic viscosity $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \P

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21

Uhlhorn, Eric W., and Lynn K. Shay. "Loop Current Mixed Layer Energy Response to Hurricane Lili (2002). Part II: Idealized Numerical Simulations." Journal of Physical Oceanography 43, no. 6 (2013): 1173–92. http://dx.doi.org/10.1175/jpo-d-12-0203.1.

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Abstract In this second part of a two-part study, details of the upper-ocean response within an idealized baroclinic current to a translating tropical cyclone are examined in a series of nonlinear, reduced-gravity numerical simulations. Based on observations obtained as part of a joint NOAA–National Science Foundation (NSF) experiment in Hurricane Lili (2002), the preexisting ocean mass and momentum fields are initialized with a Gulf of Mexico Loop Current–like jet, which is subsequently forced by a vortex whose wind stress field approximates that observed in the Lili experiments. Because of 1

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22

Roos, Pieter C., Giordano Lipari, Chris Pitzalis, Koen R. G. Reef, Gerhardus H. P. Campmans, and Suzanne J. M. H. Hulscher. "Unsteady Linearisation of Bed Shear Stress for Idealised Storm Surge Modelling." Journal of Marine Science and Engineering 9, no. 11 (2021): 1160. http://dx.doi.org/10.3390/jmse9111160.

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The modelling of time-varying shallow flows, such as tides and storm surges, is complicated by the nonlinear dependency of bed shear stress on flow speed. For tidal flows, Lorentz’s linearisation circumvents nonlinearity by specifying a (steady) friction coefficient r based on a tide-averaged criterion of energy equivalence. However, this approach is not suitable for phenomena with episodic and irregular forcings such as storm surges. Here, we studied the implications of applying Lorentz’s energy criterion in an instantaneous sense, so that an unsteady friction coefficient r(t) adjusts to the

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23

Straneo, Fiammetta. "On the Connection between Dense Water Formation, Overturning, and Poleward Heat Transport in a Convective Basin*." Journal of Physical Oceanography 36, no. 9 (2006): 1822–40. http://dx.doi.org/10.1175/jpo2932.1.

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Abstract An isopycnal, two-layer, idealized model for a convective basin is proposed, consisting of a convecting, interior region and a surrounding boundary current (buoyancy and wind-driven). Parameterized eddy fluxes govern the exchange between the two. To balance the interior buoyancy loss, the boundary current becomes denser as it flows around the basin. Geostrophy imposes that this densification be accompanied by sinking in the boundary current and hence by an overturning circulation. The poleward heat transport, associated with convection in the basin, can thus be viewed as a result of b

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24

LAC, ETIENNE, and J. D. SHERWOOD. "Streaming potential generated by a drop moving along the centreline of a capillary." Journal of Fluid Mechanics 640 (November 12, 2009): 55–77. http://dx.doi.org/10.1017/s002211200999156x.

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The electrical streaming potential generated by a two-phase pressure-driven Stokes flow in a cylindrical capillary is computed numerically. The potential difference ΔΦ between the two ends of the capillary, proportional to the pressure difference Δp for single-phase flow, is modified by the presence of a suspended drop on the centreline of the capillary. We determine the change in ΔΦ caused by the presence of an uncharged insulating neutrally buoyant drop at a small electric Hartmann number, i.e. when the perturbation to the flow field caused by electric stresses is negligible.The drop velocit

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HUNT, J. C. R., D. D. STRETCH, and S. E. BELCHER. "Viscous coupling of shear-free turbulence across nearly flat fluid interfaces." Journal of Fluid Mechanics 671 (February 24, 2011): 96–120. http://dx.doi.org/10.1017/s0022112010005525.

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The interactions between shear-free turbulence in two regions (denoted as + and − on either side of a nearly flat horizontal interface are shown here to be controlled by several mechanisms, which depend on the magnitudes of the ratios of the densities, ρ+/ρ−, and kinematic viscosities of the fluids, μ+/μ−, and the root mean square (r.m.s.) velocities of the turbulence, u0+/u0−, above and below the interface. This study focuses on gas–liquid interfaces so that ρ+/ρ− ≪ 1 and also on where turbulence is generated either above or below the interface so that u0+/u0− is either very large or very sma

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26

Schnitzer, Ory, Itzchak Frankel, and Ehud Yariv. "Electrokinetic flows about conducting drops." Journal of Fluid Mechanics 722 (April 2, 2013): 394–423. http://dx.doi.org/10.1017/jfm.2013.102.

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AbstractWe consider electrokinetic flows about a freely suspended liquid drop, deriving a macroscale description in the thin-double-layer limit where the ratio $\delta $ between Debye width and drop size is asymptotically small. In this description, the electrokinetic transport occurring within the diffuse part of the double layer (the ‘Debye layer’) is represented by effective boundary conditions governing the pertinent fields in the electro-neutral bulk, wherein the generally non-uniform distribution of $\zeta $, the dimensionless zeta potential, is a priori unknown. We focus upon highly con

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27

Eggers, Torben, Hye Rim Kim, Simon Bittner, Jens Friedrichs, and Joerg R. Seume. "Aerodynamic and Aeroelastic Effects of Design-Based Geometry Variations on a Low-Pressure Compressor." International Journal of Turbomachinery, Propulsion and Power 5, no. 4 (2020): 26. http://dx.doi.org/10.3390/ijtpp5040026.

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In modern aircraft engines, the low-pressure compressor (LPC) is subjected to a flow characterized by strong wakes and secondary flows from the upstream fan. This concerns ultra-high bypass ratio (UHBR) turbofan engines, in particular. This paper presents the aerodynamic and aeroelastic sensitivities of parametric variations on the LPC, driven by the design considerations in the upstream fan. The goal of this investigation was to determine the influence of design-based geometry parameter variations on the LPC performance under realistic inlet flow distributions and the presence of an s-duct. A

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Lerczak, James A., W. Rockwell Geyer, and David K. Ralston. "The Temporal Response of the Length of a Partially Stratified Estuary to Changes in River Flow and Tidal Amplitude." Journal of Physical Oceanography 39, no. 4 (2009): 915–33. http://dx.doi.org/10.1175/2008jpo3933.1.

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Abstract The temporal response of the length of a partially mixed estuary to changes in freshwater discharge Qf and tidal amplitude UT is studied using a 108-day time series collected along the length of the Hudson River estuary in the spring and summer of 2004 and a long-term (13.4 yr) record of Qf , UT, and near-surface salinity. When Qf was moderately high, the tidally averaged length of the estuary L5, here defined as the distance from the mouth to the up-estuary location where the vertically averaged salinity is 5 psu, fluctuated by more than 47 km over the spring–neap cycle, ranging from

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29

Shi, Yanlong, and Jim Fuller. "Viscous and centrifugal instabilities of massive stars." Monthly Notices of the Royal Astronomical Society, April 11, 2022. http://dx.doi.org/10.1093/mnras/stac986.

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Abstract Massive stars exhibit a variety of instabilities, many of which are poorly understood. We explore instabilities induced by centrifugal forces and angular momentum transport in massive rotating stars. First, we derive and numerically solve linearized oscillation equations for adiabatic radial modes in polytropic stellar models. In the presence of differential rotation, we show that centrifugal and Coriolis forces combined with viscous angular momentum transport can excite stellar pulsation modes, under both low- or high-viscosity conditions. In the low-viscosity limit, which is common

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Sacco, Riccardo, Fabio Manganini, and Joseph W. Jerome. "Modeling and Simulation of Thermo-Fluid-Electrochemical Ion Flow in Biological Channels." Computational and Mathematical Biophysics 3, no. 1 (2015). http://dx.doi.org/10.1515/mlbmb-2015-0006.

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AbstractIn this articlewe address the study of ion charge transport in the biological channels separating the intra and extracellular regions of a cell. The focus of the investigation is devoted to including thermal driving forces in the well-known velocity-extended Poisson-Nernst-Planck (vPNP) electrodiffusion model. Two extensions of the vPNP system are proposed: the velocity-extended Thermo-Hydrodynamic model (vTHD) and the velocity-extended Electro-Thermal model (vET). Both formulations are based on the principles of conservation of mass, momentum and energy, and collapse into the vPNP mod

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Moitra, Upamanyu, Sunil Kumar Sake, and Sandip P. Trivedi. "Near-extremal fluid mechanics." Journal of High Energy Physics 2021, no. 2 (2021). http://dx.doi.org/10.1007/jhep02(2021)021.

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Abstract We analyse near-extremal black brane configurations in asymptotically AdS4 spacetime with the temperature T, chemical potential μ, and three-velocity uν, varying slowly. We consider a low-temperature limit where the rate of variation is much slower than μ, but much bigger than T. This limit is different from the one considered for conventional fluid-mechanics in which the rate of variation is much smaller than both T, μ. We find that in our limit, as well, the Einstein-Maxwell equations can be solved in a systematic perturbative expansion. At first order, in the rate of variation, the

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32

Zhai, Yaoguang, Ronnie Bladh, and Göran Dyverfeldt. "Aeroelastic Stability Assessment of an Industrial Compressor Blade Including Mistuning Effects." Journal of Turbomachinery 134, no. 6 (2012). http://dx.doi.org/10.1115/1.4007210.

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This paper presents a comprehensive investigation into the aeroelastic stability behavior of a transonic front blade in an industrial compressor when operating outside its normal range of service parameters. The evolution of the airfoil’s aeroelastic stability in the first flexural mode is studied as the front blade operation progresses towards choked flow conditions. First, linearized 3D flutter computations representing today’s industry standard are performed. The linearized calculations indicate a significant, shock-driven flutter risk at these off-design flow conditions. To further explore

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Abootorabi, Seyedalireza, and Armin Zare. "Model-based spectral coherence analysis." Journal of Fluid Mechanics 958 (March 1, 2023). http://dx.doi.org/10.1017/jfm.2023.82.

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Recent data-driven efforts have utilized spectral decomposition techniques to uncover the geometric self-similarity of dominant motions in the logarithmic layer, and thereby validate the attached eddy model. In this paper, we evaluate the predictive capability of the stochastically forced linearized Navier–Stokes equations in capturing such structural features in turbulent channel flow at $Re_\tau =2003$ . We use the linear coherence spectrum to quantify the wall-normal coherence within the velocity field generated by the linearized dynamics. In addition to the linearized Navier–Stokes equatio

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Zhang, Xueliang, Zhenmin Li, Wenchao Hu, and Bangchun Wen. "Synchronization and Stability of a Nonlinear Vibrating Mechanical System Characterized by Asymmetrical Piecewise Linearity." Chinese Journal of Mechanical Engineering 35, no. 1 (2022). http://dx.doi.org/10.1186/s10033-022-00822-0.

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AbstractIn previous studies about the synchronization of vibrators, the restoring forces of springs are mainly treated as linear directly, whereas the nonlinear features are rarely considered in vibrating systems. To make up this drawback, a dynamical model of a nonlinear vibrating mechanical system with double rigid frames (RFs), driven by two vibrators, is proposed to explore the synchronization and stability of the system. In this paper, the nonlinearity is reflected in nonlinear restoring forces of springs characterized by asymmetrical piecewise linear, where the nonlinear stiffness of spr

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Hofmeister, Thomas, and Thomas Sattelmayer. "Amplitude-Dependent Damping and Driving Rates of High-Frequency Thermoacoustic Oscillations in a Lab-Scale Lean-Premixed Gas Turbine Combustor." Journal of Engineering for Gas Turbines and Power, August 3, 2021. http://dx.doi.org/10.1115/1.4051990.

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Abstract This paper presents numerical investigations of the amplitude-dependent stability behavior of thermoacoustic oscillations at screech level frequencies in a lean-premixed, swirl-stabilized, lab-scale gas turbine combustor. A hybrid Computational Fluid Dynamics / Computational AeroAcoustics (CFD / CAA) approach is applied to individually compute thermoacoustic damping and driving rates for various acoustic amplitude levels at the combustors' first transversal (T1) eigenfrequency. Forced CFD simulations with the Unsteady Reynolds-Averaged Navier-Stokes (URANS) equations mimic the real co

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Hudson, Thomas, and Filip Rindler. "Elasto-plastic evolution of single crystals driven by dislocation flow." Mathematical Models and Methods in Applied Sciences, April 12, 2022, 1–60. http://dx.doi.org/10.1142/s0218202522500191.

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This work introduces a model for large-strain, geometrically nonlinear elasto-plastic dynamics in single crystals. The key feature of our model is that the plastic dynamics are entirely driven by the movement of dislocations, that is, [Formula: see text]-dimensional topological defects in the crystal lattice. It is well known that glide motion of dislocations is the dominant microscopic mechanism for plastic deformation in many crystalline materials, most notably in metals. We propose a novel geometric language, built on the concepts of space-time “slip trajectories” and the “crystal scaffold”

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Haller, George, Bálint Kaszás, Aihui Liu, and Joar Axås. "Nonlinear model reduction to fractional and mixed-mode spectral submanifolds." Chaos: An Interdisciplinary Journal of Nonlinear Science 33, no. 6 (2023). http://dx.doi.org/10.1063/5.0143936.

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A primary spectral submanifold (SSM) is the unique smoothest nonlinear continuation of a nonresonant spectral subspace E of a dynamical system linearized at a fixed point. Passing from the full nonlinear dynamics to the flow on an attracting primary SSM provides a mathematically precise reduction of the full system dynamics to a very low-dimensional, smooth model in polynomial form. A limitation of this model reduction approach has been, however, that the spectral subspace yielding the SSM must be spanned by eigenvectors of the same stability type. A further limitation has been that in some pr

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Kashinath, Karthik, Santosh Hemchandra, and Matthew P. Juniper. "Nonlinear Phenomena in Thermoacoustic Systems With Premixed Flames." Journal of Engineering for Gas Turbines and Power 135, no. 6 (2013). http://dx.doi.org/10.1115/1.4023305.

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Nonlinear analysis of thermoacoustic instability is essential for the prediction of the frequencies, amplitudes, and stability of limit cycles. Limit cycles in thermoacoustic systems are reached when the energy input from driving processes and energy losses from damping processes balance each other over a cycle of the oscillation. In this paper, an integral relation for the rate of change of energy of a thermoacoustic system is derived. This relation is analogous to the well-known Rayleigh criterion in thermoacoustics, however, it can be used to calculate the amplitudes of limit cycles and the

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