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Journal articles on the topic 'Frequency dependent friction'

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Author: Grafiati

Published: 14 March 2023

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1

Sceats, Mark G., David P. Miller, and Gordon E. C. Fell. "Frequency-dependent collisional friction." Chemical Physics 126, no. 2-3 (November 1988): 313–25. http://dx.doi.org/10.1016/0301-0104(88)85041-9.

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2

Jiang, Dan, Song-Jing Li, Ping Yang, and Tian-Yang Zhao. "Frequency-dependent friction in pipelines." Chinese Physics B 24, no. 3 (February 26, 2015): 034701. http://dx.doi.org/10.1088/1674-1056/24/3/034701.

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3

Forsbach, Fabian, and Markus Heß. "A RIGOROUS MODEL FOR FREQUENCY-DEPENDENT FINGERPAD FRICTION UNDER ELECTROADHESION." Facta Universitatis, Series: Mechanical Engineering 19, no. 1 (April 1, 2021): 039. http://dx.doi.org/10.22190/fume210105015f.

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In the electroadhesive frictional contact of a sliding fingerpad on a touchscreen, friction is enhanced by an induced electroadhesive force. This force is dominated by the frequency-dependent impedance behavior of the relevant electrical layers. However, many existing models are only valid at frequency extremes and use very simplified contact mechanical approaches. In the present paper, a RC impedance model is adopted to characterize the behavior in the relevant range of frequencies of the AC excitation voltage. It serves as an extension to the macroscopic model for electrovibration recently developed by the authors, which is based on several well-founded approaches from contact mechanics. The predictions of the extended model are compared to recent experimental results and the most influential electrical and mechanical parameters are identified and discussed. Finally, the time responses to different wave forms of the excitation voltage are presented.

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4

Itoh, Toku, and Keisaku Ogi. "Lubricated Friction and Wear Properties of P-B Bearing Flaky Graphite Cast Iron." Key Engineering Materials 457 (December 2010): 374–79. http://dx.doi.org/10.4028/www.scientific.net/kem.457.374.

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Lubricated reciprocating tests were conducted on an SRV tester to investigate effects of stroke and frequency on frictional and wear properties of flaky graphite cast iron used for marine cylinder liner by varying frequency and stroke under a given sliding velocity in boundary and mixed lubrication regime. It was clarified that changes in coefficient of friction were significantly dependent on stroke and frequency: in boundary lubrication, coefficient of friction at steady state showed a lower value at a combination of lower frequency and therefore larger stroke. In mixed lubrication, however, a combination of lower frequency and larger stroke produced a higher friction. In boundary lubrication where no run-in process was observed, higher frequency contributed to producing rougher surfaces resulting in higher friction. In mixed lubrication bordering on boundary lubrication higher frequency promoted run-in, enhancing film formation and lowering friction. Effects of frequency and stroke also reflected on wear, changes in separation voltage between a disk and a ball specimen, which were in accordance with changes in friction.

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5

Suo, Lisheng, and E. B. Wylie. "Impulse Response Method for Frequency-Dependent Pipeline Transients." Journal of Fluids Engineering 111, no. 4 (December 1, 1989): 478–83. http://dx.doi.org/10.1115/1.3243671.

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An effective numerical method is presented to compute transients in piping systems in which frequency-dependent parameters influence the response. Frequency-dependent friction is utilized as the parameter-of-concern herein, however, the procedure can accommodate other factors such as frequency-dependent wavespeed equally well. The method, a variation in the impulse response method, is developed from the frequency response analysis and incorporates the fast Fourier transform. Examples are included showing the application of the method in computing both classic waterhammer and transients in pipes with frequency-dependent friction. Computed results agree very well with those from the standard method of characteristics and with physical experiments.

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6

Hynes, James T. "Outer-sphere electron-transfer reactions and frequency-dependent friction." Journal of Physical Chemistry 90, no. 16 (July 1986): 3701–6. http://dx.doi.org/10.1021/j100407a044.

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7

Barrat, Jean-Louis. "Numerical simulation of brownian motion with frequency-dependent friction." Chemical Physics Letters 165, no. 6 (February 1990): 551–53. http://dx.doi.org/10.1016/0009-2614(90)87037-r.

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8

Ide, Naoki, Tomohiro Atsumi, and Yoichi Nishino. "Effect of frequency on amplitude-dependent internal friction in niobium." Materials Science and Engineering: A 442, no. 1-2 (December 2006): 156–59. http://dx.doi.org/10.1016/j.msea.2006.03.117.

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9

Kupchenko, S. S., and D. P. Hess. "Mechanical Contact Frequency Response Measurements." Journal of Tribology 122, no. 4 (June 22, 2000): 828–33. http://dx.doi.org/10.1115/1.1314601.

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This paper presents friction frequency response measurements taken from a planar steel contact subjected to controlled random broadband normal vibration. Data are included from both dry and various lubricated contact conditions under different vibration input levels and different sliding velocities. Frequency response data for dry contacts are found to have nearly steady magnitude and negligible phase lag over a relatively wide range of frequencies. This suggests a coefficient of friction, independent of frequency but dependent on levels of normal acceleration and sliding velocity, may adequately define the dry contact frequency response. The frequency response data for lubricated contacts are mixed. For example, with MoS2 grease the frequency response may adequately be defined by a constant, as with dry conditions. However, frequency response data for contacts with pure mineral oils, mineral oils with additives, and lithium grease are found to be dependent on frequency. [S0742-4787(11)00101-9]

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10

Klüppel, Manfred, and Gert Heinrich. "Rubber Friction on Self-Affine Road Tracks." Rubber Chemistry and Technology 73, no. 4 (September 1, 2000): 578–606. http://dx.doi.org/10.5254/1.3547607.

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Abstract A basic theoretical concept of rubber friction on rough surfaces is presented that relates the frictional force to the dissipated energy of the rubber during sliding stochastic excitations on a broad frequency scale. It is shown that this is of high relevance for tire traction and allows for a prediction of the likely level of friction of tread compounds on the basis of viscoelastic data. The impact of both, the frequency dependent loss- and storage modulus on the frictional force during sliding of tires on rough tracks, is demonstrated quantitatively for different sliding velocities. The effect of the surface roughness of road tracks is described by three characteristic surface descriptors, i.e., the fractal dimension and the correlation lengths parallel and normal to the surface. These descriptors can be obtained from a fractal analysis of the road texture via stylus- or laser measurements. In particular, it is shown that the applied model of rubber friction is in agreement with the classical friction data of Grosch, who found a broad maximum for the friction coefficient with increasing sliding speed. The broadness of the friction maximum is shown to be directly related to the broadness of the roughness scale of the surface.

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11

Wahba, E. M. "Fluid flow and frequency-dependent friction in the human vocal system." Acta Mechanica 226, no. 12 (November 4, 2015): 4099–109. http://dx.doi.org/10.1007/s00707-015-1497-x.

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12

MacPhail, Richard A., and Frances C. Monroe. "Frequency-dependent solvent friction and torsional damping in liquid 1,2-difluoroethane." Chemical Physics 152, no. 1-2 (April 1991): 93–105. http://dx.doi.org/10.1016/0301-0104(91)80037-i.

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13

Wein, Ondřej, Václav Sobolík, and Jaroslav Tihon. "Dynamics of Electrodiffusion Friction Probes. II. Shape-Dependent Impedance." Collection of Czechoslovak Chemical Communications 62, no. 3 (1997): 420–41. http://dx.doi.org/10.1135/cccc19970420.

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The existing linear (impedance) theory of frequency response is corrected and generalized for electrodiffusion friction probes of any shape. Special attention is paid to the dynamic calibration of real electrodiffusion probes with uncertain geometry by the potentiostatic (voltage-step) transient method.

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14

Blažek, D., Peter Palček, Zuzanka Trojanová, and Jakub Porubčan. "Amplitude Dependent Internal Friction of Magnesium Alloy AZ31 at Room Temperature." Solid State Phenomena 184 (January 2012): 179–84. http://dx.doi.org/10.4028/www.scientific.net/ssp.184.179.

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The aim of this work is to study the Amplitude Dependent Internal Friction (ADIF) of magnesium alloy AZ31 at room temperature at the frequency 20kHz. The internal friction of AZ31 at room temperature is mostly influenced by mechanical cycling at strain amplitudes in the microplastic deformation region. An excited state of the AZ31 alloy, which can be associated with a higher internal friction and lower dynamic modulus than usual state, was found immediately after mechanical cycling. When the strain amplitude drops, the diffusion of solute atoms restores the Zener atmosphere and the internal friction relaxes exponentially with the second root of time. The measurement methodology and obtained results are presented.

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15

Horváth, Ernő, and György Sitkei. "Energy consumption of tree shakers as a function of frequency." Progress in Agricultural Engineering Sciences 6, no. 1 (December 1, 2010): 73–83. http://dx.doi.org/10.1556/progress.6.2010.4.

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In the last decade considerable progress was achieved in the theory of tree shakers used for fruit harvesting. New calculation methods were developed including the vibrating soil mass which enabled the calculation of effective soil masses on a strictly physical basis. However, these earlier investigations did not treat with the effect of stroke frequency. In these investigations, first of all, the friction behavior of the soil mass is discussed as a function of stroke frequency. It turned out that the decrease and shifting of the soil deformation waves as a function of distance measured from the tree trunk are the main sources of an intensive friction between the neighbouring soil layers. As a consequence, the logarithmic decrement (and not the damping coefficient) of the soil will be more or less constant as a function of stroke frequency, at least in the investigated frequency range. At lower attachment heights the soil friction losses dominate independently on stroke frequency. The virtual spring constant of the soil body is also frequency dependent. Due to the presence of combined frictional and viscous losses, the energy method seems to be the best one to analyze the effect of stroke frequency on the various operational parameters.

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16

Shin, Ki Hong. "A New Signal Processing Technique to Estimate Velocity Dependent Dynamic Friction Coefficient." Key Engineering Materials 321-323 (October 2006): 1241–44. http://dx.doi.org/10.4028/www.scientific.net/kem.321-323.1241.

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In general, dynamic friction coefficient in a dry surface condition is dependent on the relative velocity between two sliding bodies. A conventional method of estimating the velocity dependent dynamic friction coefficient is time consuming and requires a special jig to measure the friction forces. In this paper, a new technique called the state space mapping method is proposed based on the nonlinear dynamics of a 1-DOF friction oscillator. One body is constructed as a single degree of freedom system and another body is formed as a moving base that may be built as a rotating disk or a horizontally oscillating plate. The resulting friction induced vibration system is used to estimate the dynamic friction coefficient. The measured vibration signals are utilized to construct a three dimensional plot of acceleration versus state variables. Then, the velocity dependent dynamic friction coefficient can be estimated from the plot. The natural frequency can also be estimated from the plot, which can be used to verify the quality of the results.

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17

Johnston, D. Nigel. "Efficient Methods for Numerical Modeling of Laminar Friction in Fluid Lines." Journal of Dynamic Systems, Measurement, and Control 128, no. 4 (March 8, 2006): 829–34. http://dx.doi.org/10.1115/1.2361320.

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An improved method for simulating frequency-dependent friction in laminar pipe flow using the method of characteristics is proposed. It has a higher computational efficiency than previous methods while retaining a high accuracy. By lumping the frequency-dependent friction at the ends of the pipeline, the computational efficiency can be improved further, at the expense of a slight reduction in accuracy. The technique is also applied to the transmission line method and found to give a significant improvement in accuracy over previous methods, while retaining a very high computational efficiency.

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18

Wegmann, Enrique, and Axel Stenkamp. "Model Approach for a Load and Frequency Dependent Stiffness in Friction Materials." SAE International Journal of Materials and Manufacturing 5, no. 1 (September 18, 2011): 1–8. http://dx.doi.org/10.4271/2011-01-2352.

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19

Schohl, G. A. "Improved Approximate Method for Simulating Frequency-Dependent Friction in Transient Laminar Flow." Journal of Fluids Engineering 115, no. 3 (September 1, 1993): 420–24. http://dx.doi.org/10.1115/1.2910155.

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A new approximation to the weighting function in Zielke’s (1967) equation is used in an improved implementation of Trikha’s (1975) method for including frequency-dependent friction in transient laminar flow calculations. The new, five-term approximation was fitted to the weighting function using a nonlinear least squares approach. Transient results obtained using the new approximating function are nearly indistinguishable from results obtained using the exact expression for the weighting function.

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20

Tang, Jau. "Electron transfer reactions in a non‐Debye medium with frequency‐dependent friction." Journal of Chemical Physics 104, no. 23 (June 15, 1996): 9408–16. http://dx.doi.org/10.1063/1.471706.

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21

Kang, Dong-Woo, Sung-Woon Jung, Gyung-Hun Nho, Jin-Kyu Ok, and Wan-Suk Yoo. "Application of bouc-wen model to frequency-dependent nonlinear hysteretic friction damper." Journal of Mechanical Science and Technology 24, no. 6 (June 2010): 1311–17. http://dx.doi.org/10.1007/s12206-010-0404-6.

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22

Swanson, Charles E., William T. Wagner, Russell J. Donnelly, and Carlo F. Barenghi. "Calculation of frequency- and velocity-dependent mutual friction parameters in helium II." Journal of Low Temperature Physics 66, no. 5-6 (March 1987): 263–76. http://dx.doi.org/10.1007/bf00682257.

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23

Zhang, Zhong Ming, Jin Cheng Wang, Chun Jie Xu, Wei Ming Li, and Gang Wang. "Study on Damping Capacities of Nodular Cast Iron Dense Bar Produced by Horizontal Continuous Casting." Advanced Materials Research 399-401 (November 2011): 250–53. http://dx.doi.org/10.4028/www.scientific.net/amr.399-401.250.

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Damping capacities of the annealed nodular cast iron dense bar produced by horizontal continuous casting were measured by Dynamic Mechanical Analyzer. The relation of damping capacities with vibration amplitude, frequency and temperature was analyzed to investigate the damping mechanism of the alloy. The results show that the damping capacities increase with increasing temperature and frequency. The internal friction spectra exhibits two internal friction peaks at about 40°C and 150°C and caused by Snoek relaxation and Snoek-Köster relaxation, respectively. The maximum damping capacity can be obtained at about 63Hz. The damping is positive amplitude-dependent, whereas critical amplitude exists where the damping increases dramatically. The temperature-dependent damping results from the superposition effect of point-defect damping, grain boundary damping and interface damping, while dislocation damping is predominant in the frequency dependent damping. The amplitude dependent damping can be interpreted by G-L theory.

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24

Patil, Ganesh U., Alfredo Fantetti, and Kathryn Matlack. "Frictional instability: A nonlinear mechanism to control shear wave responses in rough contact-based metamaterials." Journal of the Acoustical Society of America 152, no. 4 (October 2022): A38—A39. http://dx.doi.org/10.1121/10.0015463.

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Incorporating nonlinearity in periodic media not only enables enriched wave dynamics but also allows passive tunability of the wave responses. However, studies so far have been mostly focused on nonlinear mechanisms and responses of longitudinal wave propagation whereas shear propagation in the presence of strong nonlinearity is yet to be fully understood. In this talk, we study shear wave propagation through metamaterials with rough contacts including friction. The roughness of contacting surfaces results in structural instability causing the contacts to switch between different regimes—stick, partial slip, and gross slip—giving rise to strong nonlinearity. Moreover, due to the presence of friction, the contacts exhibit hysteretic nonlinearity, i.e., history-dependent response. In this study, we first experimentally evaluate the frictional properties of rough contacts by measuring high-frequency friction hysteresis loops. Then, we develop metamaterial with a periodic arrangement of these rough contacts and use the obtained frictional properties to numerically study nonlinear shear wave signatures. We evaluate higher harmonic generation and demonstrate how they can be tuned through excitation wave amplitude, external precompression, and surface roughness. These fundamental understandings can open new avenues for designing tailored material with memory-dependent nonlinearity for controlling shear wave propagation.

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25

Yang, W. C., and W. E. Tobler. "Dissipative Modal Approximation of Fluid Transmission Lines Using Linear Friction Model." Journal of Dynamic Systems, Measurement, and Control 113, no. 1 (March 1, 1991): 152–62. http://dx.doi.org/10.1115/1.2896342.

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For both hydraulic and pneumatic transmission lines, analytical dissipative modal approximation techniques, which take into account the frequency dependent viscosity and heat transfer effects, are developed by introducing frequency dependent damping and natural frequency modification factors to the quadratic modes obtained analytically from linear friction model. The main advantage over the existing dissipative modal approximations is that the modal parameters of the resulting modal transfer function matrices and modal state space equations can be determined analytically rather than determined by table and/or numerical computer calculations. This introduces modeling flexibilities and greatly alleviates the difficulties of modeling complex fluid networks but still maintaining the modal accuracy and complexities. Unit step response comparisons are made with quasi-method of characteristics showing good agreements for both hydraulic and pneumatic lines.

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26

Suzuki, Katsumasa, Takayuki Taketomi, and Sanroku Sato. "Improving Zielke’s Method of Simulating Frequency-Dependent Friction in Laminar Liquid Pipe Flow." Journal of Fluids Engineering 113, no. 4 (December 1, 1991): 569–73. http://dx.doi.org/10.1115/1.2926516.

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Zielke’s technique of using a method of characteristics to simulate transient phenomena of a liquid transmission line is accurate, easy to apply to complicated systems and therefore, frequently used. However, it requires a very large amount of computation time and computer storage to simulate frequency-dependent friction in a transient liquid flow. Searching for a way to counteract these disadvantages, the authors took note of the fact that the weighting function, which is the root of the above problems, is given by exponential functions or other functions depending on dimensionless time. In order to perform mathematically equivalent calculation without approximations, they have developed a new method which requires much less computation time and computer storage than Zielke’s method. The calculation process is shown by a block diagram to facilitate visual understanding of the method.

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27

Zhao, Xin, and Zili Li. "A solution of transient rolling contact with velocity dependent friction by the explicit finite element method." Engineering Computations 33, no. 4 (June 13, 2016): 1033–50. http://dx.doi.org/10.1108/ec-09-2014-0180.

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Purpose – The purpose of this paper is to develop a numerical approach to solve the transient rolling contact problem with the consideration of velocity dependent friction. Design/methodology/approach – A three dimensional (3D) transient FE model is developed in elasticity by the explicit finite element method. Contact solutions with a velocity dependent friction law are compared in detail to those with the Coulomb’s friction law (i.e. a constant coefficient of friction). Findings – The FE solutions confirm the negligible influence of the dependence on the normal contact. Hence, analysis is focussed on the tangential solutions under different friction exploitation levels. In the trailing part of the contact patch where micro-slip occurs, very high-frequency oscillations are excited in the tangential plane by the velocity dependent friction. This is similar to the non-uniform sliding or tangential oscillations observed in sliding contact. Consequently, the micro-slip distribution varies greatly with time. However, the surface shear stress distribution is quite stable at different instants, even though it significantly changes with the employed friction model. Originality/value – This paper proposes an approach to solve the transient rolling contact problem with the consideration of velocity dependent friction. Such a problem was usually solved in the literature by the simplified contact algorithms, with which detailed contact solutions could not be obtained, or with the assumption of steady rolling.

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28

De, A. K., T. Waterschoot, and B. C. De Cooman. "Amplitude-dependent internal friction of dislocation interactions in dual-phase steel." International Journal of Materials Research 94, no. 4 (April 1, 2003): 436–41. http://dx.doi.org/10.1515/ijmr-2003-0075.

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Abstract Dislocation interactions in the ferrite matrix of a dual-phase steel have been studied as a function of martensite volume fraction (11 – 25%) and tensile straining (0 –5 %) by strain-induced amplitude-dependent (strain amplitude varying from 10– 7 to 10 –4) internal friction measurements at room temperature, using a high-frequency composite oscillator (40 kHz). Results showed that a higher volume fraction of martensite increases the internal stress in the softer ferrite matrix and restricted the dislocation motions, giving rise to a lower amplitude-dependent internal friction. Application of tensile straining further shortened the effective mobile dislocation length which was revealed by the internal friction measurements and this resulted in a high initial strain hardening rate of the high-martensite samples. Reduction in the martensite volume fraction and the mobile dislocations in the ferrite matrix through process control resulted in an increase in the amplitude-dependent internal friction, indicating a longer effective mobile length of dislocations which, in turn, delayed early necking of the dual-phase samples during tensile straining.

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29

Primeau, François. "Long Rossby Wave Basin-Crossing Time and the Resonance of Low-Frequency Basin Modes." Journal of Physical Oceanography 32, no. 9 (September 1, 2002): 2652–65. http://dx.doi.org/10.1175/1520-0485-32.9.2652.

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Abstract The ability of long-wave low-frequency basin modes to be resonantly excited depends on the efficiency with which energy fluxed onto the western boundary can be transmitted back to the eastern boundary. This efficiency is greatly reduced for basins in which the long Rossby wave basin-crossing time is latitude dependent. In the singular case where the basin-crossing time is independent of latitude, the amplitude of resonantly excited long-wave basin modes grows without bound except for the effects of friction. The speed of long Rossby waves is independent of latitude for quasigeostrophic dynamics, and the rectangular basin geometry often used for theoretical studies of the wind-driven ocean circulation is such a singular case for quasigeostrophic dynamics. For more realistic basin geometries, where only a fraction of the energy incident on the western boundary can be transmitted back to the eastern boundary, the modes have a finite decay rate that in the limit of weak friction is independent of the choice of frictional parameters. Explicit eigenmode computations for a basin geometry similar to the North Pacific but closed along the equator yield basin modes sufficiently weakly damped that they could be resonantly excited.

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30

Zhao, Qiliang, Pengming Zhang, and Peter A. Horvathy. "Time-Dependent Conformal Transformations and the Propagator for Quadratic Systems." Symmetry 13, no. 10 (October 3, 2021): 1866. http://dx.doi.org/10.3390/sym13101866.

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The method proposed by Inomata and his collaborators allows us to transform a damped Caldirola–Kanai oscillator with a time-dependent frequency to one with a constant frequency and no friction by redefining the time variable, obtained by solving an Ermakov–Milne–Pinney equation. Their mapping “Eisenhart–Duval” lifts as a conformal transformation between two appropriate Bargmann spaces. The quantum propagator is calculated also by bringing the quadratic system to free form by another time-dependent Bargmann-conformal transformation, which generalizes the one introduced before by Niederer and is related to the mapping proposed by Arnold. Our approach allows us to extend the Maslov phase correction to an arbitrary time-dependent frequency. The method is illustrated by the Mathieu profile.

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31

Mishra, B., and B. J. Berne. "Hydrodynamic calculation of the frequency dependent friction on the bond of a diatomic molecule." Journal of Chemical Physics 103, no. 3 (July 15, 1995): 1160–74. http://dx.doi.org/10.1063/1.469826.

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32

Avrutov, V. V. "Resonant oscillations of a gyroscope with nonlinear frequency-dependent friction in the elastic suspension." International Applied Mechanics 28, no. 6 (June 1992): 399–405. http://dx.doi.org/10.1007/bf00847099.

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33

Yamamoto, Y., Tomonari Inamura, Kenji Wakashima, Hee Young Kim, Shuichi Miyazaki, and Hideki Hosoda. "Orientation Dependent Internal Friction of Textured Ti-Nb-Al Shape Memory Alloy." Materials Science Forum 561-565 (October 2007): 1533–36. http://dx.doi.org/10.4028/www.scientific.net/msf.561-565.1533.

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Internal friction of Ti-24mol%Nb-3mol%Al (Ti-24Nb-3Al) shape memory alloy with a well-developed texture was investigated by dynamic mechanical analysis (DMA) in a tensile mode with a frequency of 1Hz and a temperature range of 123~423K. Ti-24Nb-3Al alloy fabricated by Ar arc-melting was cold-rolled with a reduction in thickness of 99% and then heat-treated at 1173K for 3.6ks in vacuum to develop a recrystallization texture. The martensitic transformation temperature and internal friction (tan δ) were evaluated under the stress amplitude of 36MPa. The tensile direction was selected to be the rolling direction (RD) and the transverse direction (TD). The specimen was β-single phase with a well-developed {112}β<110>β texture at room temperature and exhibited high damping during martensitic transformation and in the martensite phase. The relationship between internal friction and the tensile direction is discussed on the view point of the crystallography of the transformation.

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34

Trojanová, Zuzanka, Michael Bosse, Gerhard Ziegmann, Agnieszka Mielczarek, and Hans Ferkel. "Anelastic Properties of Mg+3vol.%Gr Prepared by Ball Milling." Key Engineering Materials 319 (September 2006): 189–96. http://dx.doi.org/10.4028/www.scientific.net/kem.319.189.

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Internal friction in ultra-fine grained Mg with 3vol% of Graphite was measured by forced vibration method at low frequencies of 0.1, 0.5, 1.0, and 2.0 Hz over a temperature range from room temperature to 753 K with continuous heating. The specimens were prepared by milling procedure in an inert atmosphere and subsequent compacted and hot extruded. Two developed peaks in the internal friction spectrum were obtained at temperatures ≈ 350 K and ≈ 550 K. While the position of the first peak is frequency dependent, the second peak position is stable, independent of measuring frequency. The activation energy of the low temperature peak was estimated. In the light of internal friction measurements, the high temperature internal friction peak is attributed to the generation and motion of dislocations produced by the difference in the coefficient of thermal expansion between the Mg matrix and Gr phase at the matrix–particle interfaces.

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35

Shu, Jian-Jun. "A Finite Element Model and Electronic Analogue of Pipeline Pressure Transients With Frequency-Dependent Friction." Journal of Fluids Engineering 125, no. 1 (January 1, 2003): 194–98. http://dx.doi.org/10.1115/1.1522415.

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A finite element model and its equivalent electronic analogue circuit has been developed for fluid transients in hydraulic transmission lines with laminar frequency-dependent friction. Basic equations are approximated to be a set of ordinary differential equations that can be represented in state-space form. The accuracy of the model is demonstrated by comparison with the method of characteristics.

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36

Salas, Daniel, E. Cesari, I. Golovin, and S. Kustov. "Magnetomechanical and Structural Internal Friction in Ni-Mn-In-Co Metamagnetic Shape Memory Alloy." Solid State Phenomena 184 (January 2012): 372–77. http://dx.doi.org/10.4028/www.scientific.net/ssp.184.372.

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The strain amplitude-independent and strain amplitude-dependent components of the internal friction in a Ni45Mn36.7In13.3Co5 metamagnetic shape memory alloy have been studied as function of temperature, strain amplitude and polarizing magnetic field. For ultrasonic oscillation frequency (91 kHz) and low strain amplitudes (10-7-10-5), the experimental results show that the internal friction in the ferromagnetic austenite is much higher than in non-magnetic martensite. We suggest that this unusual relationship is due to a high contribution of the magnetomechanical component to the internal friction of the ferromagnetic austenite.

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37

Gregor, David, Peter Moczo, Jozef Kristek, Arnaud Mesgouez, Gaëlle Lefeuve-Mesgouez, and Miriam Kristekova. "Subcell-resolution finite-difference modelling of seismic waves in Biot and JKD poroelastic media." Geophysical Journal International 224, no. 2 (September 24, 2020): 760–94. http://dx.doi.org/10.1093/gji/ggaa454.

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SUMMARY We present a discrete representation of strongly heterogeneous poroelastic medium with the JKD-model of the frequency-dependent permeability and resistive friction, and the corresponding finite-difference (FD) scheme for numerical modelling of seismic wave propagation and earthquake ground motion in structurally complex media. The scheme is capable of subcell resolution, that is, allows for an arbitrary shape and position of an interface in the spatial grid. The medium can have either a zero resistive friction or non-zero constant resistive friction or JKD frequency-dependent resistive friction. The scheme has the same computational efficiency as the scheme for a smoothly and weakly heterogeneous medium (medium without material interfaces) because the number of operations for updating wavefield is the same. Several comparisons with a semi-analytical approach proves the efficiency and reliability of the subcell-resolution FD scheme. An illustrative example demonstrates differences between earthquake ground motion in the Biot's and JKD variants of the model of the surface sedimentary basin. The example indicates that it is desirable to perform an extensive parametric study in order to find out when it is necessary to apply relatively complicated and computationally more demanding JKD model and when much simpler Biot's model is sufficient.

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38

Tan, Xiaobo, Alireza Modafe, and Reza Ghodssi. "Measurement and Modeling of Dynamic Rolling Friction in Linear Microball Bearings." Journal of Dynamic Systems, Measurement, and Control 128, no. 4 (April 9, 2006): 891–98. http://dx.doi.org/10.1115/1.2362786.

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In prior work of the authors and co-workers, a vision-based system was developed for characterizing the tribological behavior of silicon-micromachined linear microball bearings. Plain difference methods introduce amplitude and/or phase distortion in computing the derivative signals (e.g., velocity and acceleration) based on the position snapshots. In this paper frequency-dependent amplitude and phase compensation algorithms are developed for both the forward difference and the central difference methods to retrieve without distortion the friction and the relative velocity between bearing elements. Processing of experimental data with these techniques reveals nonlinear, viscous frictional behavior in the bearing. A viscoelastic model based on a continuum of mass-spring-damper elements is then proposed for the ball-groove interaction. Numerical results show that this model captures the nonlinear velocity dependence of the rolling friction observed in experiments.

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39

Niemeyer, Terlize Cristina, Carlos Roberto Grandini, and Sandra G. Schneider. "Low-Frequency High-Temperature Internal Friction in Ti-13Nb-13Zr Alloy." Key Engineering Materials 319 (September 2006): 103–8. http://dx.doi.org/10.4028/www.scientific.net/kem.319.103.

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Recent studies have been done to achieve biomedical alloys containing non-toxic elements and presenting low elastic moduli. It has been reported that Ti-Nb-Zr alloys rich in beta phase, especially Ti-13Nb-13Zr, have potential characteristics for substituting conventional materials such as Ti-6Al-4V, stainless steel and Co alloys. The aim of this work is to study the internal friction (IF) of Ti-13Nb-13Zr (TNZ) alloy due to the importance of the absorption impacts in orthopedic applications. The internal friction of this alloy produced by arc melting was measured using an inverted torsion pendulum with the free decay method. The measurements were performed from 77 to 700 K with heating rate of 1 K/min, in a vacuum better than 10-5 mBar. The results show a relaxation structure at high temperature strongly dependent on microstructure of the material. Qualitative discussions are presented for the experimental results, and the possibility of using the TNZ as a high damping material is briefly mentioned.

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40

Li, Longbiao, Pascal Reynaud, and Gilbert Fantozzi. "Cyclic-Dependent Damage Evolution in Self-Healing Woven SiC/[Si-B-C] Ceramic-Matrix Composites at Elevated Temperatures." Materials 13, no. 6 (March 24, 2020): 1478. http://dx.doi.org/10.3390/ma13061478.

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Cycle-dependent damage evolution in self-healing, 2.5D woven Hi-NicalonTM SiC/[Si-B-C] and 2D woven Hi-NicalonTM SiC/[SiC-B4C] ceramic-matrix composites (CMCs) at 600 and 1200 °C was investigated. The cycle-dependent damage parameters of internal friction, dissipated energy, Kachanov’s damage parameter, and broken fiber fraction were obtained to describe damage development in self-healing CMCs. The relationships between cycle-dependent damage parameters and multiple fatigue damage mechanisms were established. The experimental fatigue damage development of self-healing Hi-NicalonTM SiC/[Si-B-C] and Hi-NicalonTM SiC/[SiC-B4C] composites was predicted for different temperatures, peak stresses, and loading frequencies. The cycle-dependent damage evolution of self-healing Hi-NicalonTM SiC/[Si-B-C] and Hi-NicalonTM SiC/[SiC-B4C] composites depends on temperature, testing environment, peak stress, and loading frequency. For the Hi-NicalonTM SiC/[Si-B-C] composite, temperature is a governing parameter for the fatigue process. At an elevated temperature of 600 °C in an air atmosphere, the internal frictional parameter of Hi-NicalonTM SiC/[Si-B-C] composite decreases first and then increases with applied cycle number; however, at an elevated temperature of 1200 °C in an air atmosphere, the internal frictional parameter of Hi-NicalonTM SiC/[Si-B-C] composite decreases with applied cycle number, and the interface shear stress at 1200 °C is much lower than that at 600 °C. For Hi-NicalonTM SiC/[SiC-B4C] composite at 1200 °C, loading frequency is a governing parameter for the fatigue process. The degradation rate of interface shear stress is much higher at the loading frequency of 0.1 Hz than that at the loading frequency of 1 Hz.

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41

Jalink, C. Jojakim, A. Herbert Huizer, and Cyril A. G. O. Varma. "Comparison of several frequency-dependent friction models for the description of liquid-phase reaction dynamics." Journal of the Chemical Society, Faraday Transactions 89, no. 11 (1993): 1677. http://dx.doi.org/10.1039/ft9938901677.

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Pollak, Eli, Hermann Grabert, and Peter Hänggi. "Theory of activated rate processes for arbitrary frequency dependent friction: Solution of the turnover problem." Journal of Chemical Physics 91, no. 7 (October 1989): 4073–87. http://dx.doi.org/10.1063/1.456837.

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43

Lugovy, Mykola, Nina Orlovskaya, Siddhartha Pathak, Miladin Radovic, Edgar Lara-Curzio, Dmytro Verbylo, Jakob Kuebler, Thomas Graule, and Michael J. Reece. "Time and frequency dependent mechanical properties of LaCoO3-based perovskites: Internal friction and negative creep." Journal of Applied Physics 124, no. 20 (November 28, 2018): 205103. http://dx.doi.org/10.1063/1.5037049.

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44

Sumi, Hitoshi, and Tsutomu Asano. "Is slow thermal isomerization in viscous solvents understandable with the idea of frequency dependent friction?" Journal of Chemical Physics 102, no. 24 (June 22, 1995): 9565–73. http://dx.doi.org/10.1063/1.468772.

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45

Liu, Wei, Tao Wei, and Zhu Feng Yue. "Pressure Pulsation Analysis of Aircraft Hydraulic Power Pipelines System." Advanced Materials Research 97-101 (March 2010): 2861–64. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.2861.

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The output pressure pulsation model for the aircraft hydraulic power pipelines was established by the methods of transfer function and fluid network chain-rules; the dissipation caused by frequency-dependent friction was taken into account. Dynamic characteristics of hydraulic system were discussed in frequency-domain and time-domain respectively, the pumping excitation frequency influenced the frequency-response of hydraulic pipeline system, and several resonance frequency bands were obtained. The inverse fast Fourier transform was applied to simulate the transient pressure pulsation waves under pump starting and steady-running state.

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46

Yeh, Syh Shiuh, and Jin Tsu Sun. "Measurement and Analysis of Static Friction for Feed Drives of CNC Machine Tools." Applied Mechanics and Materials 36 (October 2010): 86–95. http://dx.doi.org/10.4028/www.scientific.net/amm.36.86.

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Static friction generally exists in feed drive servomechanisms and usually affects the motions of CNC machine tools. In this study, the breakaway experiment is applied to measure the static friction of a feed drive servomechanism generally used in CNC machine tools, and the spectral analysis using the fast Fourier transformation algorithm is applied to analyze the frequency characteristics of the obtained static friction. Several experiments were carried out on a three-axis CNC milling machine so as to illustrate the feasibility of the developed measurement and analysis methods. The experimental results indicate that the static friction of a feed drive servomechanism is clearly position-dependent and the physical interaction of the mechanical parts in the transmission system used by the feed drive servomechanism significantly affects the characteristics of the static friction.

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47

Hu, Hai Jun, Ya Zhou Sun, and Z. S. Lu. "Simulation of Residual Stress in Ultrasonic Vibration Assisted Micro-Milling." Advanced Materials Research 188 (March 2011): 381–84. http://dx.doi.org/10.4028/www.scientific.net/amr.188.381.

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The machining-induced residual stresses are strongly dependent on the work-piece material and the chosen process parameters. A 2D finite element (FE) model of ultrasonic vibration assisted micro-milling (UVAMM) is established using ABAQUS. Johnson-Cook’s work-piece material and shear failure principle are used, while friction between tool and work-piece uses modified Coulomb’s law whose sliding friction area is combined with sticking friction. By means of FE analysis, the influence rules of spindle speed, vibration frequency and work-piece material on the surface residual stresses are obtained, which provides a basis for choosing optimal process parameters and improving the longevity and reliability of micro-component.

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48

Golovin, Igor S., and Vladislav Yu Zadorozhnyy. "Thermally Activated Relaxation and Hysteretic Internal Friction in Ultrafine Grained Copper." Defect and Diffusion Forum 309-310 (March 2011): 209–14. http://dx.doi.org/10.4028/www.scientific.net/ddf.309-310.209.

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Temperature and amplitude dependent internal friction (TDIF and ADIF) in ultrafine-grained copper (99.95% Cu) specimens processed by equal channel angular extrusion by route BC in 1, 4, and 8 passes and then subjected to annealing is investigated by means of dynamical mechanical analyzer DMA Q800 in the temperature range from -100 to 550 °C, amplitude range from 10-6 to 10-3, and frequency range from 0.05 to 100 Hz. Two IF peaks were registered and explained by structural relaxation due to the recrystallisation process and by thermally activated grain boundary relaxation with broad distribution of relaxation times. Increase in amplitude dependent damping in ultrafine-grained copper is due to dislocation but not grain boundary contribution.

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PAAR, V., and N. PAVIN. "SENSITIVE DEPENDENCE OF LIFETIMES OF CHAOTIC TRANSIENT ON NUMERICAL ACCURACY FOR A MODEL WITH DRY FRICTION AND FREQUENCY DEPENDENT DRIVING AMPLITUDE." Modern Physics Letters B 10, no. 03n05 (February 28, 1996): 153–59. http://dx.doi.org/10.1142/s0217984996000183.

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Chaotic transients are investigated for a one-dimensional model, which is a driven non-linear system having frequency dependent driving amplitude, with weak dissipation consisting of Coulomb and quadratic friction. It is shown that lifetimes of chaotic transients are sensitively dependent on numerical accuracy when the initial condition is fixed and approximately follow the exponential decay law, which cannot be distinguished from the well-known exponential decay law for dependence on initial conditions when the numerical precision is fixed.

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50

Nazarov, V. E., and A. B. Kolpakov. "The Effects of Amplitude-Dependent Internal Friction in a Low-Frequency Annealed Polycrystalline Copper Rod Resonator." Technical Physics 66, no. 12 (December 2021): 1257–67. http://dx.doi.org/10.1134/s1063784221090140.

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