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1

Pelevin, A. E. "Ways of efficiency increasing of iron ore raw materials concentration technology." Ferrous Metallurgy. Bulletin of Scientific , Technical and Economic Information 75, no. 2 (March 10, 2019): 137–46. http://dx.doi.org/10.32339/0135-5910-2019-2-137-146.

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Iron ore raw materials quality to a great extent determines technical and economic indices of metallurgical production. A brief characteristic of main types of iron ores of Russia quoted. It was shown, that they require concentration for utilization them in metallurgical production. Concentration flow charts of main types of iron ores considered. Main ways of iron ore raw materials concentration flow charts perfection directed on concentrates quality increase, concentration specific costs decrease and increase of raw materials utilization complexity. At Lebedinsky mining and concentration complex (MCC) at the expense of additional milling and concentration of high quality concentrate, a super-concentrate is produced having the iron mass content no less than 69.5% and silica content no more than 3.5%. The increase of iron mass content is 1.5–2%. At Mikhajlovsky MCC additional concentration of regular concentrate with iron mass content 65.5–66% enables to produce a super-concentrate having the iron mass content no less than 69% and silica mass content no more than 3%. The increase of iron mass content is 3–3.5%. Fine hydraulic screening is used at Kostomuksha and Kovdor MCCs for adjusting of regular concentrates. The undersize of sizing screens is a high quality concentrate, and oversize fraction is an intermediate product subjected to additional milling and concentration. When using the fine hydraulic screening, the super-concentrates are not obtained. Indices of super-concentrates production with application of separation in an alternative magnetic field quoted. Low complexity of iron ore raw materials utilization is typical at concentration of hematitemagnetite quartzite ores. In Russia the hematite-magnetite quartzite ores are mined and concentrated at three MCCs as follows: Olenegorsky, Mikhajlovsky and Kimkano-Sutarsky. Flow-charts and indices of magneto-gravitation concentration quoted, applied for hematite concentrate production. Stage separation of not only tails but also of concentrates is one of methods of expenses decreasing. A diagram of concentrate stage separation with application of concentration method or fine screening considered. Results of industrial application of flow-charts with concentrate stage separation quoted, the application taken place at Kachkanar MCC with application of two methods – wet magnetic concentration and fine hydraulic screening.
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2

Kleinmann, S. G. "The Spatial, Temporal, and Photometric Properties of AGB Stars." International Astronomical Union Colloquium 106 (May 1993): 13–25. http://dx.doi.org/10.1017/s0252921100062576.

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The Two Micron Sky Survey (Neugebauer & Leighton 1969;TMSS) provides a census of AGB stars which is relatively insensitive to interstellar or circumstellar reddening, temporal variations, or differences in photospheric temperature. This paper summarizes results from recent analyses of all carbon, S type, and mass-losing M stars in the TMSS, including local surface densities, scale heights, and mass loss rates. All three groups are concentrated toward the plane; the mass-losing M stars appear least concentrated toward the plane but most strongly concentrated toward the galactic center. Results from the IRAS survey were used to determine the range of infrared colors of stars in each class, and to estimate their mass loss rates. Carbon stars have relatively higher 60 μm flux densities than oxygen-rich stars, and have relatively higher mass loss rates. The total mass loss rate is dominated by a small fraction of the stars in this sample. IRAS photometry and IRAS Low Resolution Spectometer data do not unambiguously distinguish carbon-rich and oxygen-rich stars in this sample. Future searches for stars with the greatest mass loss rates might concentrate on sources found to be variable in the IRAS survey, since a large fraction of the TMSS stars with the most massive envelopes are known Miras or infrared variables.
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3

Yong-feng, Yang, Wang Yan-lin, Chen Hu, and Wu Min-juan. "Dynamic Modeling and Response of a Rotating Cantilever Beam with a Concentrated Mass." Shock and Vibration 2016 (2016): 1–8. http://dx.doi.org/10.1155/2016/8935247.

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The rigid-flexible coupling system with a hub and concentrated mass is studied in this paper. Considering the second-order coupling of axial displacement which is caused by transverse deformation of the beam, the dynamic equations of the system are established using the second Lagrange equation and the assumed mode method. The simulation results show that the concentrated mass mainly suppresses the vibration and exhibits damping characteristics. When the nondimensional mass position parameterβ>0.67, the first natural frequency is reduced as the concentrated mass increases. Whenβ<0.67, the first natural frequency is increased as the concentrated mass increases. We also find the maximum first natural frequency nondimensional position for the concentrated mass.
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4

Özyiğit, H. "Linear Vibrations of Frames Carrying a Concentrated Mass." Mathematical and Computational Applications 14, no. 3 (December 1, 2009): 197–206. http://dx.doi.org/10.3390/mca14030197.

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5

Gómez, Delfina, Miguel Lobo, and Eugenia Pérez. "On a vibrating plate with a concentrated mass." Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics 328, no. 6 (June 2000): 495–500. http://dx.doi.org/10.1016/s1620-7742(00)00033-7.

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6

Mizusawa, T. "Vibrations of skew plates carrying a concentrated mass." Journal of Sound and Vibration 116, no. 3 (August 1987): 561–72. http://dx.doi.org/10.1016/s0022-460x(87)81384-6.

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7

ISHIKAWA, Satoshi, Shinya KIJIMOTO, Yosuke KOBA, Ryoma OWAKI, and Yuuki MORI. "Two-Dimensional Acoustic Analysis by Concentrated Mass Model." TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B 79, no. 801 (2013): 744–48. http://dx.doi.org/10.1299/kikaib.79.744.

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8

ISHIKAWA, Satoshi, Takahiro KONDOU, and Kenichiro MATSUZAKI. "Nonlinear Pressure Wave Analysis by Concentrated Mass Model." Journal of System Design and Dynamics 3, no. 5 (2009): 827–40. http://dx.doi.org/10.1299/jsdd.3.827.

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9

ISHIKAWA, Satoshi, Takahiro KONDOU, and Kenichiro MATSUZAKI. "Nonlinear Pressure Wave Analysis by Concentrated Mass Model." Journal of System Design and Dynamics 4, no. 4 (2010): 646–59. http://dx.doi.org/10.1299/jsdd.4.646.

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10

ISHIKAWA, Satoshi, Takahiro KONDOU, Kenichiro MATSUZAKI, and Shota NAGANO. "Nonlinear Pressure Wave Analysis by Concentrated Mass Model." Journal of System Design and Dynamics 5, no. 6 (2011): 1388–401. http://dx.doi.org/10.1299/jsdd.5.1388.

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11

ISHIKAWA, Satoshi, Takahiro KONDOU, and Kenichiro MATSUZAKI. "Nonlinear Pressure Wave Analysis by Concentrated Mass Model." Journal of System Design and Dynamics 5, no. 1 (2011): 204–18. http://dx.doi.org/10.1299/jsdd.5.204.

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12

OGAWA, Fumiaki, Satoshi ISHIKAWA, Shinya KIJIMOTO, and Yosuke KOBA. "Analysis of Speech Production by Concentrated Mass Model." Proceedings of the Dynamics & Design Conference 2016 (2016): 315. http://dx.doi.org/10.1299/jsmedmc.2016.315.

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13

YOSHITAKE, Tatsuhiro, Satoshi ISHIKAWA, Takahiro KONDOU, and Kenichiro MATSUZAKI. "Sloshing Phenomenon Analysis by Using Concentrated Mass Model." Proceedings of the Dynamics & Design Conference 2016 (2016): 622. http://dx.doi.org/10.1299/jsmedmc.2016.622.

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14

YOSHITAKE, Tatsuhiro, Satoshi ISHIKAWA, Takahiro KONDOU, and Kenichiro MATSUZAKI. "Sloshing Phenomenon Analysis by Using Concentrated Mass Model." Proceedings of the Dynamics & Design Conference 2017 (2017): 130. http://dx.doi.org/10.1299/jsmedmc.2017.130.

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15

FURUNO, Seiji, Satoshi ISHIKAWA, and Shotaro HISANO. "G100043 Sloshing Prevention Control using Concentrated Mass Model." Proceedings of Mechanical Engineering Congress, Japan 2011 (2011): _G100043–1—_G100043–5. http://dx.doi.org/10.1299/jsmemecj.2011._g100043-1.

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16

Ravikumar Bandaru, S. V., and Pallab Ghosh. "Mass transfer of chlorobenzene in concentrated sulfuric acid." International Journal of Heat and Mass Transfer 54, no. 11-12 (May 2011): 2245–52. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2011.02.043.

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17

GOHNOME, Kento, Satoshi ISHIKAWA, Shinya KIJIMOTO, and Yousuke KOBA. "Two-dimensional Acoustic Analysis by Concentrated Mass Model." Proceedings of the Dynamics & Design Conference 2021 (2021): 309. http://dx.doi.org/10.1299/jsmedmc.2021.309.

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18

Raszillier, H., N. Alleborn, and F. Durst. "Effect of a concentrated mass on coriolis flowmetering." Archive of Applied Mechanics 64, no. 6 (July 1994): 373–82. http://dx.doi.org/10.1007/bf00788409.

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19

Jun, Zhang, Jun Liu, Xiao Lu Ni, Wei Li, and Rong Mu. "Dynamic Model of a Discrete-Pontoon Floating Bridge Subjected by Moving Loads." Applied Mechanics and Materials 29-32 (August 2010): 732–37. http://dx.doi.org/10.4028/www.scientific.net/amm.29-32.732.

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A discrete-pontoon floating bridge is studied based on the beam model with assumption of the bridge deck as a elastic beam with uniform section, live load such as vehicle as moving concentrate forces, and pontoons as independent mass-spring-damping systems with singular degree of freedom. The comparison results of between vehicles and moving concentrated force show that a vehicle load can be simplified as one moving concentrated force. The present model can study not only a single moving load but also multiple moving loads.
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20

Zhang, Jun-hong, and De-sheng Li. "Mobility power flows of thin circular plate carrying concentrated masses based on structural circumferential periodicity." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 230, no. 17 (August 9, 2016): 2996–3011. http://dx.doi.org/10.1177/0954406215604656.

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A new method was presented by utilizing the structural circumferential periodicity of the inertia excitation due to the concentrated masses to compute the transverse vibration for thin circular plate carrying concentrated masses. Comparison between the calculated fundamental frequency coefficients and those from other approaches validates the method. And then, the point mobility matrices and the power flows were solved on the basis of modal function solutions and the analytical results of simply supported case were presented. Finally, the parametric effect of the single concentrate mass on the power flows was investigated.
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21

Ostreczova, N. G., and A. V. Bobrova. "Use of nanofiltration concentrates of buttermilk and whey for fermented dairy products with increased mass content of protein." Food systems 4, no. 2 (July 22, 2021): 134–43. http://dx.doi.org/10.21323/2618-9771-2020-4-2-134-143.

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Baromembrane methods, in particular, nanofiltration, open up broad opportunities in the field of obtaining dairy products with a high protein content in terms of quality and energy saving. This paper describes the feasibility of using buttermilk and cheese whey concentrates obtained by nanofiltration in the production of fermented milk products. The physicochemical, rheological and organoleptic studies of nanofiltration concentrates of buttermilk and cheese whey made it possible to select concentrates with a mass fraction of dry substances of 20% for further research. Electron microscopic studies of the microstructure of buttermilk, whey and their concentrates with a mass fraction of dry substances of 20% showed that when buttermilk was concentrated by nanofiltration, the average diameter of dispersed particles did not increase and amounted to (130 ± 30) nm. The grid cells size decreased by 3.2 times; in serum concentration, the particle size increased by 1.7 times with a decrease in the grid cells size by 1.3 times. The obtained data make it possible to predict the positive effect of this concentration method on the consistency of fermented milk products. The use of the combined milk base with a ratio of buttermilk concentrate (20% dry matter) to whey concentrate (20% dry matter) of 50:50 and 75:25 is substantiated, providing a complete protein content of 4.4–5.6% in fermented milk products. A high rate of acid formation and a good water-holding capacity of acid clots were established when fermenting with a starter culture containing thermophilic streptococcus and acidophilic bacillus in a ratio of 4:1. The obtained results make it possible to expand the range of fermented milk products with an increased mass fraction of protein for good nutrition of the population.
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22

ISHIKAWA, Satosh, Yosuke KOBA, Yuuki MORI, Shinya KIJIMOTO, and Ryoma OWAKI. "111 Two-dimensional Acoustic Analysis by Concentrated Mass Model." Proceedings of the Symposium on Environmental Engineering 2012.22 (2012): 47–50. http://dx.doi.org/10.1299/jsmeenv.2012.22.47.

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23

SUGIKI, Shohei, Satoshi ISHIKAWA, and Shinya KIJIMOTO. "120 Simulation of Speech Production by Concentrated Mass Model." Proceedings of the Symposium on Environmental Engineering 2013.23 (2013): 90–93. http://dx.doi.org/10.1299/jsmeenv.2013.23.90.

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24

AKAYAMA, Yuta, Satoshi ISHIKAWA, Shinya KIJIMOTO, and Yosuke KOBA. "105 Two-dimensional Acoustic Analysis by Concentrated Mass Model." Proceedings of the Symposium on Environmental Engineering 2014.24 (2014): 14–17. http://dx.doi.org/10.1299/jsmeenv.2014.24.14.

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25

MORI, Yuuki, Yosuke KOBA, Satoshi ISHIKAWA, and Shinya KIJIMOTO. "1119 Two-dimensional Acoustic Analysis by Concentrated Mass Model." Proceedings of Conference of Kyushu Branch 2013.66 (2013): 393–94. http://dx.doi.org/10.1299/jsmekyushu.2013.66.393.

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26

AKAYAMA, Yuta, Satoshi ISHIKAWA, Shinya KIJIMOTO, and Yosuke KOBA. "703 Two-dimensional Acoustic Analysis by Concentrated Mass Model." Proceedings of Conference of Kyushu Branch 2015.68 (2015): 263–64. http://dx.doi.org/10.1299/jsmekyushu.2015.68.263.

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27

Owaki, Ryoma, Satoshi Ishikawa, Shinya Kijimoto, and Yosuke Koba. "721 Two-dimensional Acoustic Analysis by Concentrated Mass Model." Proceedings of Conference of Kyushu Branch 2012.65 (2012): 265–66. http://dx.doi.org/10.1299/jsmekyushu.2012.65.265.

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28

Khodzhaev, Dadakhan, Nikolay Vatin, Rustamkhan Abdikarimov, Bakhodir Normuminov, and Bakhadir Mirzaev. "Dynamic stability of viscoelastic orthotropic shells with concentrated mass." IOP Conference Series: Materials Science and Engineering 890 (August 13, 2020): 012042. http://dx.doi.org/10.1088/1757-899x/890/1/012042.

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29

ISHIKAWA, Satoshi, Takahiro KONDOU, and Kenichiro MATSUZAKI. "C30 Nonlinear Pressure Wave Analysis by Concentrated Mass Model." Proceedings of the Symposium on the Motion and Vibration Control 2009.11 (2009): 517–21. http://dx.doi.org/10.1299/jsmemovic.2009.11.517.

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30

OWAKI, Ryoma, Satoshi ISHIKAWA, Shinya KIJIMOTO, Yosuke KOBA, and Yuki MORI. "343 Two-dimensional Acoustic Analysis by Concentrated Mass Model." Proceedings of the Dynamics & Design Conference 2012 (2012): _343–1_—_343–10_. http://dx.doi.org/10.1299/jsmedmc.2012._343-1_.

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31

HISANO, Shotaro, Satoshi ISHIKAWA, Shinya KIJIMOTO, and Hiroyuki IWAMOTO. "Couple analysis of vibro-acoustics by concentrated mass model." Proceedings of the Dynamics & Design Conference 2019 (2019): 310. http://dx.doi.org/10.1299/jsmedmc.2019.310.

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32

Luo, Lan, Yan Ren, Jie Liu, and Xiaodong Wen. "Investigation of a rapid and sensitive non-aqueous reaction system for the determination of acrylamide in processed foods by gas chromatography-mass spectrometry." Analytical Methods 8, no. 30 (2016): 5970–77. http://dx.doi.org/10.1039/c6ay00673f.

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Dimethyl sulfoxide (DMSO) was used to extract and pre-concentrate acrylamide (AA) from food samples before derivatization with xanthydrol. Concentrated AA in DMSO reacted with xanthydrol in 1 min at 40 °C under mild conditions before GC-MS determination.
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33

Zhang, Kewei, and Yuesheng Chai. "Numerical Study on Mass Sensitivity of Magnetoelastic Biosensors with Concentrated Mass Load under Different Resonance Modes." Journal of Sensors 2016 (2016): 1–5. http://dx.doi.org/10.1155/2016/8341656.

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Magnetoelastic biosensors are an important type of resonant mode based mass-sensing device, for which mass sensitivity is a critical parameter to evaluate their performance. In this work, the effect of concentrated mass position on mass sensitivity (Sm) of a magnetoelastic sensor under different resonance modes was theoretically studied. The effect of magnitude of loading mass on mass sensitivity for the first resonance mode was also studied. The results indicated that mass sensitivity as the function of loading position for all resonance modes was consistent with the law of functionSm=A cos2t. By comparing the mass sensitivity for the sensor attached with concentrated mass and uniform mass, it was found that mass sensitivity was linearly proportional to the sum of the squares of the displacement of each loading point. For the first resonance mode, when the loading position satisfied0≤xc/l<0.3or0.7<xc/l≤1, mass sensitivity decreased with loading mass increasing. The opposite trend was observed when0.3<xc/l<0.5or0.5<xc/l≤0.7. When the concentrated mass was loaded at the nodal point (i.e.,xc/l=0.5), mass sensitivity was always zero no matter how the loading mass changed.
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34

Melia, F. "The Dark Mass Concentration at the Galactic Center." International Astronomical Union Colloquium 163 (1997): 637–46. http://dx.doi.org/10.1017/s0252921100043323.

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AbstractStellar kinematic studies indicate the presence of a concentrated central mass at just under 2 × 106M⊙, in close agreement with the mass deduced from gas velocities measured with the [Ne II] line. Although this mass is most likely a black hole, it may be dominated by a tightly concentrated cluster of stellar remnants. If Sgr A*, a point radio source coincident with this central mass, is a massive black hole embedded in a region with strong gaseous outflows, as suggested by the observation of He I, Brα and Brγ line emission, it is accreting from its environment via the Bondi-Hoyle process. We discuss the consequences of this activity, including the expected mass and angular momentum accretion rate onto the black hole, and the resulting observable characteristics. The latest infrared images of this region appear to rule out the possibility that this large scale flow settles down into a standard α-disk at small radii. We discuss some possible scenarios that might account for this, including strong advection in the disk or the presence of a massive, fossilized disk. Not all of the gas affected in this way by Sgr A*’s strong gravitational field becomes bound. Some of it is redirected into a focused flow that in turn interacts with other coherent gas structures near the black hole. We suggest that the mini-cavity (to the south-west of Sgr A*) may be formed as a result of this activity, and argue that the characteristics of the mini-cavity lend some observational support for the presence of a concentrated mass near Sgr A*. We show, however, that as far as the mini-cavity is concerned, this concentrated mass need not be in the form of a point mass, but may instead be a highly concentrated cluster of stellar remnants.
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35

Khoa, Nguyen Viet, and Nguyen Van Quang. "Free vibration of a cracked double-beam carrying a concentrated mass." Vietnam Journal of Mechanics 38, no. 4 (December 20, 2016): 279–93. http://dx.doi.org/10.15625/0866-7136/7118.

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This paper presents the free vibration of a cracked double-beam carrying a concentrated mass located at an arbitrary position. The double-beam consisting of two different simply supported beams connected by an elastic medium is modelled by using finite element method. The influence of the concentrated mass on the frequencies and mode shapes is investigated. The relationship between the natural frequency and the location of concentrated mass is established and related to the mode shapes. The numerical simulations show that when there is a crack, the frequency of the double-beam changes sharply when the concentrated mass is located close to the crack position. This sharp change can be amplified by wavelet transform and this is useful for crack detection. The crack location can be determined by the location of peaks in the wavelet transform of the relationship between frequency and mass location.
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36

Saarikoski, Sanna, Leah R. Williams, Steven R. Spielman, Gregory S. Lewis, Arantzazu Eiguren-Fernandez, Minna Aurela, Susanne V. Hering, et al. "Laboratory and field evaluation of the Aerosol Dynamics Inc. concentrator (ADIc) for aerosol mass spectrometry." Atmospheric Measurement Techniques 12, no. 7 (July 16, 2019): 3907–20. http://dx.doi.org/10.5194/amt-12-3907-2019.

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Abstract. An air-to-air ultrafine particle concentrator (Aerosol Dynamics Inc. concentrator; ADIc) has been designed to enhance online chemical characterization of ambient aerosols using aerosol mass spectrometry. The ADIc employs a three-stage, moderated water-based condensation growth tube coupled to an aerodynamic focusing nozzle to concentrate fine particles into a portion of the flow. The system can be configured to sample between 1.0 and 1.7 L min−1, with an output concentrated flow between 0.08 and 0.12 L min−1, resulting in a theoretical concentration factor (sample flow / output flow) ranging from 8 to 21. Laboratory tests with monodisperse particles show that the ADIc is effective for particles as small as 10 nm. Laboratory experiments conducted with the Aerosol Mass Spectrometer (AMS) showed no shift in the particle size with the ADIc, as measured by the AMS particle time-of-flight operation. The ADIc-AMS system was operated unattended over a 1-month period near Boston, Massachusetts. Comparison to a parallel AMS without the concentrator showed concentration factors of 9.7±0.15 and 9.1±0.1 for sulfate and nitrate, respectively, when operated with a theoretical concentration factor of 10.5±0.3. The concentration factor of organics was lower, possibly due to the presence of large particles from nearby road-paving operations and a difference in aerodynamic lens cutoff between the two AMS instruments. Another field deployment was carried out in Helsinki, Finland. Two ∼10 d measurement periods showed good correlation for the concentrations of organics, sulfate, nitrate and ammonium measured with an Aerosol Chemical Speciation Monitor (ACSM) with the ADIc and a parallel AMS without the concentrator. Additional experiments with an AMS alternating between the ADIc and a bypass line demonstrated that the concentrator did not significantly change the size distribution or the chemistry of the ambient aerosol particles.
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37

Grotowski, Andrzej, and Kajetan Witecki. "Research on the Possibility of Sorting Application for Separation of Shale and/or Gangue from the Feed of Rudna Concentrator." E3S Web of Conferences 18 (2017): 01004. http://dx.doi.org/10.1051/e3sconf/20171801004.

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Shale, which occurs in the copper ore deposits belonging to KGHM Polska Miedź S.A., is the reason for a number of difficulties, at the stage of not only processing but also smelting. Gangue, in turn, getting in a feed during mining is a useless load of a concentrator and also contributes to lowering concentrating indexes. Its content in a feed is being evaluated at 15-30%. The multiple attempts to solve those issues by the methods of conventional mineral processing or even selective mining failed. In the range of work, research on the lithological composition and Cu content in 300 individual particles (selected from Rudna feed) have been carried out. Using those results, the simulation of gangue separation with an application of sorting have been done. The positive results have been received: introduction of a sorting operation causes, theoretically, removing of approximately 20-30% sorting feed mass as final tailings with Cu losses not bigger than 5-10%. It means that the capacity of Rudna concentrator can be increased proportionally. To confirm those results, industrial sorting trials are necessary, when appropriate sorters will become available. Additionally, one should take also into account that the finest classes of feed (-12.5 mm) could not be concentrated in a sorter. In the range of work, the preliminary tests of the industrial sorter (PRO Secondary Color NIR) for separation of the shale concentrate from Rudna concentrator feed have been carried out. The shale concentrates were received both from 12.5-20 mm class and +20 mm class. The concentrates produced from the coarse classes, for both technological sides had shale content at the level of 48-49%, with recovery of 52.9-60%. In the case of the finer class, shale content in the concentrates for both technological sides amounts to 30.9-35%, at the slightly lower recoveries than for coarse classes. Cu and Corg behavior in the sorting process were checked also, however, the results turned out to be not very interesting. Because the results of shale concentrate production by sorting have a significant potential for improvement, the further researches in this direction have been recommended, however, making them start off from elaboration of a technology for shale concentrate processing and calculation of a total balance of a concentrating process involving flotation and separation.
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38

Zhao, S., J. T. Xing, and W. G. Price. "Natural vibration of a flexible beam-water coupled system with a concentrated mass attached at the free end of the beam." Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment 216, no. 2 (December 1, 2002): 145–54. http://dx.doi.org/10.1243/147509002762224351.

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The dynamical behaviour of a flexible beam-water interaction system having a concentrated mass (with accompanying moment of inertia) at the free end of the beam is examined. In the water domain, the coupled system is subject to an undisturbed boundary condition at infinity and a zero surface wave or linear surface disturbance condition on the free surface. The governing equations describing the behaviour of the system are analysed using the separation of variables method and their solutions presented. The eigenvalue equation of the natural vibration of the beam-water system is derived and exact solutions for each combination of boundary conditions are obtained. Calculations show that, for the undisturbed condition at infinity in the water domain, the natural frequencies of the coupled beam-concentrated mass dynamical system are lower than those of the beam alone. With constant ratio of concentrated mass to mass of the beam, as the beam changes from thick to thin, the concentrated mass and moment of inertia become less influential on the natural vibration behaviour of the coupled system.
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39

Chaubey, Abhay Kumar, Ajay Kumar, and Anupam Chakrabarti. "Vibration of Laminated Composite Shells with Cutouts and Concentrated Mass." AIAA Journal 56, no. 4 (April 2018): 1662–78. http://dx.doi.org/10.2514/1.j056320.

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40

Amabili, M. "Geometrically nonlinear vibrations of rectangular plates carrying a concentrated mass." Journal of Sound and Vibration 329, no. 21 (October 2010): 4501–14. http://dx.doi.org/10.1016/j.jsv.2010.04.024.

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41

Nguyen, Khoa Viet. "Crack detection of a double-beam carrying a concentrated mass." Mechanics Research Communications 75 (July 2016): 20–28. http://dx.doi.org/10.1016/j.mechrescom.2016.05.009.

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42

Mukhopadhyay, M. "Vibration analysis of elastically restrained rectangular plates with concentrated mass." Journal of Sound and Vibration 113, no. 3 (March 1987): 547–58. http://dx.doi.org/10.1016/s0022-460x(87)80136-0.

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HISANO, Shotaro, Satoshi ISHIKAWA, Shinya KIJIMOTO, and Yosuke KOBA. "Active noise control for closed space by concentrated mass model." Proceedings of the Symposium on Environmental Engineering 2017.27 (2017): 125. http://dx.doi.org/10.1299/jsmeenv.2017.27.125.

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Muraoka, Mikio. "Sensitivity-enhanced atomic force acoustic microscopy with concentrated-mass cantilevers." Nanotechnology 16, no. 4 (February 26, 2005): 542–50. http://dx.doi.org/10.1088/0957-4484/16/4/035.

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Frank, M. J. W., J. A. M. Kuipers, and W. P. M. Van Swaaij. "How to use mass transfer correlations for concentrated binary solutions." Chemical Engineering Science 55, no. 18 (September 2000): 3739–42. http://dx.doi.org/10.1016/s0009-2509(00)00003-8.

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Cheng, Yuxiang, Weiping Zhang, Jian Tang, Wu Liu, Yinghai Wang, and Wenyuan Chen. "Research on a Micro Piezoelectric Gyroscope with Concentrated Rocking-Mass." International Journal of Applied Ceramic Technology 12 (March 23, 2015): E208—E214. http://dx.doi.org/10.1111/ijac.12397.

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Cha, P. D. "FREE VIBRATION OF A RECTANGULAR PLATE CARRYING A CONCENTRATED MASS." Journal of Sound and Vibration 207, no. 4 (November 1997): 593–96. http://dx.doi.org/10.1006/jsvi.1997.1163.

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Dyniewicz, Bartlomiej, and Czeslaw I. Bajer. "New Consistent Numerical Modelling of a Travelling Accelerating Concentrated Mass." World Journal of Mechanics 02, no. 06 (2012): 281–87. http://dx.doi.org/10.4236/wjm.2012.26034.

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Maurizi, M. J., P. A. A. Laura, D. V. Bambill, and C. Rossit. "Vibrating circular plate carrying a concentrated mass: Comparison of results." Journal of Sound and Vibration 138, no. 2 (April 1990): 335–36. http://dx.doi.org/10.1016/0022-460x(90)90546-c.

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Butenhoff, Thomas J., Marcel G. E. Goemans, and Steven J. Buelow. "Mass Diffusion Coefficients and Thermal Diffusivity in Concentrated Hydrothermal NaNO3Solutions." Journal of Physical Chemistry 100, no. 14 (January 1996): 5982–92. http://dx.doi.org/10.1021/jp952975p.

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