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Journal articles on the topic 'Modèle vibrationnel'

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1

Cao, Yongqi, Weihe Shen, Fangzhi Li, Huan Qi, Jiaxiang Wang, Jianren Mao, Yang Yang, and Kai Tao. "All-in-One High-Power-Density Vibrational Energy Harvester with Impact-Induced Frequency Broadening Mechanisms." Micromachines 12, no. 9 (September 8, 2021): 1083. http://dx.doi.org/10.3390/mi12091083.

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This paper proposes an electrostatic-piezoelectric-electromagnetic hybrid vibrational power generator with different frequency broadening schemes. Both the nonlinear frequency broadening mechanisms and the synergized effect of the electrostatic-piezoelectric-electromagnetic hybrid structures are investigated. The structure and performance of the composite generator are optimized to improve the response bandwidth and performance. We propose that the electrostatic power generation module and the electromagnetic power generation module be introduced into the cantilever beam to make the multifunctional cantilever beam, realizing small integrated output loss, high output voltage, and high current characteristics. When the external load of the electrostatic power generation module is 10 kΩ, its peak power can reach 3.6 mW; when the external load of the piezoelectric power generation module is 2 kΩ, its peak power is 2.2 mW; and when the external load of the electromagnetic power generation module is 170 Ω, its peak power is 0.735 mW. This means that under the same space utilization, the performance is improved by 90%. Moreover, an energy management circuit (ECM) at the rear end of the device is added, through the energy conditioning circuit, the device can directly export a 3.3 V DC voltage to supply power to most of the sensing equipment. In this paper, the hybrid generator’s structure and performance are optimized, and the response bandwidth and performance are improved. In general, the primary advantages of the device in this paper are its larger bandwidth and enhanced performance.
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2

Battocchio, Giovanni, Niels Kristian Madsen, and Ove Christiansen. "Density matrices and iterative natural modals in vibrational structure theory." Molecular Physics 115, no. 1-2 (November 2, 2016): 228–40. http://dx.doi.org/10.1080/00268976.2016.1243263.

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3

Grigorev, Alexey, Alexey Lysenko, Igor Kochegarov, Vladimir Roganov, and Jurijs Lavendels. "Determination of Vibrational Displacement Measurement Error Based on the Blurring Analysis of a Round Mark Image." Applied Computer Systems 23, no. 2 (December 1, 2018): 150–60. http://dx.doi.org/10.2478/acss-2018-0019.

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Abstract The relevance and nature of a new technology for measurement of vibrational displacement of a material point through normal toward the object plane are stated in the article. This technology provides registration and processing of images of a round mark or a matrix of round marks, which are applied to the surface of a control object. A measuring signal here is the module of radius increment of the round mark image at vibrational blurring of this image. The method for calculation of the given error of measurements, as a function of a number of pixels of the round mark image, has been developed and proven in the present research. The results of pilot studies are given. Linearity of transformation of the measured size into a measuring signal has been proven. The conditions of a technical compromise between the field of view area of a recording device during distribution measurement of vibrational displacements along the surface of a control object, and the accuracy of this measurement are determined. The results are illustrated with numerical examples of calculations of the given error of measurements in the set field of view and the one at the given maximum set error of measurements.
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4

Choi, Dong-Soo, and Sang-Youn Kim. "Transparent Film-Type Vibrotactile Actuator Array and Its Haptic Rendering Using Beat Phenomenon." Sensors 19, no. 16 (August 9, 2019): 3490. http://dx.doi.org/10.3390/s19163490.

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The most important thing in a thin and soft haptic module with an electroactive polymer actuator array is to increase its vibrotactile amplitude and to create a variety of vibrotactile sensations. In this paper, we introduce a thin film-type electroactive polymer actuator array capable of stimulating two types of human mechanoreceptors simultaneously, and we present a haptic rendering method that maximizes the actuators’ vibrational force without improving the array’s haptic performance. The increase in vibrational amplitude of the soft electroactive polymer actuator array is achieved by creating a beat vibration, which is an interference pattern of two vibrations with slightly different frequencies. The textures of a target object are translated into haptic stimuli using the proposed method. We conducted qualitative and quantitative experiments to evaluate the performance of the proposed rendering method. The results showed that this method not only amplifies the vibration’s amplitude but also haptically simulates various objects’ surfaces.
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5

Sun, Miao Zhong, Chuan Wang, and Yuan Li Xu. "Fault Diagnosis of Grinding Machine Using Choi-Williams Distribution Based on COM Module Technology." Applied Mechanics and Materials 226-228 (November 2012): 572–75. http://dx.doi.org/10.4028/www.scientific.net/amm.226-228.572.

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In this paper, a time-frequency analytic system is implemented by using mixed programming of Matlab and Delphi languages based on COM (Component Object Model)module technology. Matlab possesses many signal analytic functions and Delphi has a friendly visual programming environment. These two advantages are fully combined in the mixed programming. This system can be easily upgraded to expand new analytic functions with help of COM module technology. Fault diagnosis of a grinding machine is carried out by using this system. A same vibrational signal sampled from the machine is analyzed in turn by three methods in this system that are Fast Fourier Transform(FFT), Wigner-Ville Distribution(WVD) and Choi-Williams Distribution(CWD). Comparing with the three results, it shows that CWD can get best diagnostic information and validity of the estimation on the instantaneous frequency of a signal. Success of the mixed programming is presented meantime.
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6

Naduty, Vladimir, Anastasia Loginova, and Vitaliy Sukharev. "DETERMINATION OF DEPENDENCE OF OPERATING INDICATORS OF TWO-SHAFT CENTRIFUGAL MODULE ON VARIABLE PARAMETERS." Vibrations in engineering and technology, no. 2(97) (August 27, 2020): 15–21. http://dx.doi.org/10.37128/2306-8744-2020-2-2.

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The article presents the results of studies of a new design of a two-shaft centrifugal vibration module, which was created on the basis of the modernization of a two-shaft disintegrator. A distinctive feature of this design is the presence of an additional device that provides the operation of vibrational classification by size of the crushed rock mass directly in the grinding chamber. This eliminates its regrinding and increases the performance of the module. Since structural changes were introduced into the previously existing disintegrator design and new technological operations were added, a set of studies was carried out to determine the performance and expended drive power of the module, depending on the most influential operating parameters and rock mass characteristics. The main variable parameters were adopted: the number of revolutions of the beater shaft in the grinding chamber, the frequency and amplitude of oscillations of the grinding chamber, the size and strength of the crushed rock mass, and the effect of the screening process of the finished size class in the grinding chamber on the productivity and power consumption of the drive was established. It has been established that the efficiency of rock mass screening in a centrifugal vibration module is within 60 ÷ 70% depending on the separation size class and the density of the processed rock mass, as well as on the content of the finished size class in its loading. In this case, the performance of the module increases by 20%, and with the use of vibration excitation of the grinding chamber - by 25 ÷ 30%. The obtained experimental dependences of these values on variable parameters are presented in the form of graphs with their further identification by regression models, which will allow us to determine its main structural and power parameters when designing the parametric series of the module (based on the initial requirements). The results of studies of the experimental model of the module showed the effectiveness of the modernization and allow us to recommend it for wide industrial use.
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7

Hammer, T. "Investigation of XeCl vibrational and quenching kinetics: Measurements of gain and laser spectra in a discharge-pumped oscillator module." Applied Physics B Photophysics and Laser Chemistry 56, no. 5 (May 1993): 243–48. http://dx.doi.org/10.1007/bf00325211.

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8

Liu, Yaolong. "Study on the vibrational comfort of aircraft in formation flight." Aircraft Engineering and Aerospace Technology 92, no. 8 (July 27, 2020): 1307–16. http://dx.doi.org/10.1108/aeat-12-2018-0311.

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Purpose The purpose of this paper is to investigate the passenger comfort changes due to the wake turbulence impact from the formation flight (FF) leading aircraft, which can be a showstopper for the real application of FF to airliners. Design/methodology/approach Taking advantage of the overall aircraft design and optimization framework, as well as the module for FF assessment, the comfort level has been quantified for aircraft in solo flight and in FF according to ISO 2631–1 specifications concerning vibration total value. Findings The results showed that atmospheric turbulence intensity is the dominant factor in determining the passenger ride quality in comparison to the impact of formation wake flow. According to the preliminary results of this study, passengers seated away from the aircraft mass center encounter larger discomfort. In comparison to mass center, seats away from mass center also experience slightly stronger discomfort due to FF. The current simulation results show that FF is feasible without remarkably degrading passenger comfort level, which agrees well with the flight test results. Practical implications As passenger comfort is crucial for civil transport application of FF, the study carried out within this manuscript can give a preliminary indication to the showstopper of FF real-world application. Originality/value The proposed strategy can provide quantitative values for judging the possible drawbacks of FF, i.e. passenger comfort issues as mentioned in the literature. On the other hand, the aircraft level study based on reliable data and methods can give important insight for this interesting topic and further help the real-world application of FF for commercial aircraft. In addition, it can serve as preliminary studies for further design and operation modifications for aircraft in FF.
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9

Verma, V., D. Chionis, A. Dokhane, and H. Ferroukhi. "MODELLING AND ANALYSIS OF FUEL ASSEMBLY VIBRATIONAL MODES IN PWRS USING SIMULATE-3K." EPJ Web of Conferences 247 (2021): 21008. http://dx.doi.org/10.1051/epjconf/202124721008.

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Some of the KWU pre-KONVOI PWRs operating across Europe saw a systematic increase in the neutron noise levels over several cycles in the last decade, and subsequently, core internals’ movements, especially vibrations of fuel assemblies with specific designs were identified as one of the plausible causes. Therefore, it is important to develop computational methods that can allow to investigate and predict the reactor noise response to fuel assemblies vibrations. To this aim, the 3D nodal reactor dynamics code SIMULATE-3K is used at PSI with a special module called the ‘assembly vibration model’ that imitates time-dependent motions of fuel assemblies by dynamically modifying the water-gaps surrounding the laterally moving fuel assemblies. The varying water-gaps are represented by the variation in the corresponding two-group macroscopic cross sections generated using the lattice code CASMO-5 in 2D. The studies conducted so far to assess the methodology for full core noise simulations were based on assuming vibrations of a clamped-free cluster of fuel assemblies that are unsupported from both ends. However, as this represents a non-physical movement, further developments were made at PSI to allow simulating more realistic movements of fuel assemblies such as the cantilevered mode vibration. The updated methodology, along with evaluations of the simulated noise response to realistic vibration modes, is presented in this paper. Results show that, as expected, the radial and axial neutron noise behaviour follow the vibration pattern of the imposed time-dependent axial functions corresponding to the natural oscillation modes of the fuel assemblies, thereby providing confidence in the application of the developed methodology for numerical neutron noise analyses of the PWR cores.
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10

Naduty, Vladimir, Anastasia Loginova, and Vitaliy Sukharev. "THE RESULTS OF STUDIES OF THE DEPENDENCE OF THE PERFORMANCE OF THE VIBRATING TWO-SHAFT CENTRIFUGAL MODULE ON THE MODE AND DESIGN PARAMETERS." Vibrations in engineering and technology, no. 3(94) (November 26, 2019): 5–10. http://dx.doi.org/10.37128/2306-8744-2019-3-1.

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The article presents a new design of a vibrating twin-shaft centrifugal module designed for grinding and classification of rock mass. In this design, in addition to grinding, the operation of classification or screening of the crushed mass was added, which does not allow its regrinding and increases the productivity of the device. This is achieved by installing in the bottom of the chamber grinding mesh with cells in accordance with the required class size. At the same time, the classification process is intensified by the presence of vibration from vibration exciters fixed on the camera body and the installation of the camera on elastic supports. The reciprocating horizontal vibrations of the chamber with a given amplitude and frequency contribute to the segregation of the crushed rock mass in the bed by size, which positively affects the efficiency of classification and grinding. The presence of vibration helps to unload the oversize product from the grinding chamber. Also, the article considers experimental studies performed on a vibrational two-shaft centrifugal module to determine the dependence of the performance of a given design on five variable factors: rotor shaft revolutions (n, rpm), size of the loaded rock mass (Δ, mm), rock mass strength (σ, kg/mm2), camera vibration frequency (ω, rpm) and its vibration amplitude (A, mm). Studies have shown the efficiency and increased productivity of the new design in relation to a centrifugal disintegrator without a classification grid and vibration. The results of the work allow us to recommend the design under study for the manufacture of an experimental sample according to the given initial requirements, and the established dependences (Q = f (n, Δ, σ, ω, A) make it possible to develop a mathematical model of the grinding process in this setup to calculate the required parameters.
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11

Buhrke, David, Geoffrey Gourinchas, Melanie Müller, Norbert Michael, Peter Hildebrandt, and Andreas Winkler. "Distinct chromophore–protein environments enable asymmetric activation of a bacteriophytochrome-activated diguanylate cyclase." Journal of Biological Chemistry 295, no. 2 (December 4, 2019): 539–51. http://dx.doi.org/10.1074/jbc.ra119.011915.

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Sensing of red and far-red light by bacteriophytochromes involves intricate interactions between their bilin chromophore and the protein environment. The light-triggered rearrangements of the cofactor configuration and eventually the protein conformation enable bacteriophytochromes to interact with various protein effector domains for biological modulation of diverse physiological functions. Excitation of the holoproteins by red or far-red light promotes the photoconversion to their far-red light–absorbing Pfr state or the red light-absorbing Pr state, respectively. Because prototypical bacteriophytochromes have a parallel dimer architecture, it is generally assumed that symmetric activation with two Pfr state protomers constitutes the signaling-active species. However, the bacteriophytochrome from Idiomarina species A28L (IsPadC) has recently been reported to enable long-range signal transduction also in asymmetric dimers containing only one Pfr protomer. By combining crystallography, hydrogen–deuterium exchange coupled to MS, and vibrational spectroscopy, we show here that Pfr of IsPadC is in equilibrium with an intermediate “Pfr-like” state that combines features of Pfr and Meta-R states observed in other bacteriophytochromes. We also show that structural rearrangements in the N-terminal segment (NTS) can stabilize this Pfr-like state and that the PHY-tongue conformation of IsPadC is partially uncoupled from the initial changes in the NTS. This uncoupling enables structural asymmetry of the overall homodimeric assembly and allows signal transduction to the covalently linked physiological diguanylate cyclase output module in which asymmetry might play a role in the enzyme-catalyzed reaction. The functional differences to other phytochrome systems identified here highlight opportunities for using additional red-light sensors in artificial sensor–effector systems.
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12

Sirotin, P. V., I. YU Lebedinskiy, and M. M. Zhileykin. "Mathematical model of the cabin suspension system for grain and forage harvesters taking into account the dynamic properties of the supporting system." Traktory i sel'hozmashiny 1, no. 3 (2021): 42–52. http://dx.doi.org/10.31992/0321-4443-2021-3-42-52.

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The paper is devoted to the study of the vibrational state of the operator's workplace of a transport-technological machine with a supporting system that undergoes torsional and bending elastic deformations during operation. Based on the previously carried experimental studies, the rel-evance of the work was substantiated and the goal was set to develop a computational model of spatial vibrations of the cabin on a non-existent system in the form of elastic cantilever beams. An original mathematical model of cabin vibrations on an elastic foundation is presented. It takes into account the nonlinear elastic and dissipative properties of the supporting system structure. A variant of the implementation of the developed mathematical model using the example of the mathematical modeling environment Mathcad is proposed. As an example of calculating the dynamic properties of a bearing system, a case of using the MSC Adams software package with an integrated finite el-ement calculation module Flex is shown. It is presented that taking into account the dynamic prop-erties of the carrier system in the model makes it possible to calculate the vibration load of the cabin with high accuracy and reproduce the resonance phenomena caused by the natural modes of vibra-tion of the carrier system and disturbances from technological sources. The results of the verification of the computational model based on the analysis of the convergence of the values of the full corrected vibration acceleration in the center of mass of the grain harvester cabin, as well as the vi-bration spectra in linear directions obtained by experimental and computational methods, are pre-sented. Directions for the development of measures and technical solutions for improving the vibra-tion load of operators of transport and technological machines who have active sources of power disturbances on board, as well as a supporting system that experiences elastic deformations during operation are proposed.
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13

Radchenko, V. P., V. Ph Pavlov, T. I. Berbasova, and M. N. Saushkin. "The method of reconstruction of residual stresses and plastic deformations in thin-walled pipelines in the delivery state and after bilateral vibro-shock surface hardening with a shot." PNRPU Mechanics Bulletin, no. 2 (December 15, 2020): 123–33. http://dx.doi.org/10.15593/perm.mech/2020.2.10.

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We suggest the phenomenological method of reconstructing the fields of residual stresses and plastic deformations in thin-walled cylindrical tubes made of Х18N10Т steel in the delivery state and after a simultaneous bilateral surface plastic hardening by the vibration-shot blasting of the surface with beads on a special vibrating stand. A cylindrical container filled with three-millimeter beads was attached to it. The tubes were 50 % filled with one-millimeter beads, and they were placed inside the container. The axis of the tube and the container coincided. The space between the tube and the container was 80 % filled with beads. The vibrational frequency of the stand was 18.5 KHz, the hardening time was 20 minutes. The tube in the container was rotated to ensure uniform hardening. We determined the experimental values of residual stresses σθ and σ z in the surface layers using the method of rings and strips with the procedure of the layer-by-layer electrochemical picking of the hardened layers. For this purpose, the experimentally measured values of the beam-strip deflection and the angular opening of the cut ring (changing the diameter) were used. The hardening anisotropy parameter which relates the axial and circumferential components of plastic deformation was introduced into the mathematical model. In solving the stated problems the hypotheses of plastic incompressibility of the material, the absence of secondary plastic deformations of the material in the compression region of the surface layer, as well as the hypothesis of flat sections and straight radii were used. We described the method aimed at solving this type of boundary value problems of reconstructing stress-strain states, which makes it possible to determine the missing component σ r and all the components of the tensor of residual plastic deformations (off-diagonal components of the tensors of stresses and deformations were not considered). The method of reconstructing the stress-strain state is universal, because it has shown its operability both in determining the technological fields of residual stresses, as well as the irreversible strains in the samples in the delivered state after mechanical operations, and after bilateral surface plastic deformation. The adequacy of the calculated data was verified, which was obtained using the phenomenological method of reconstructing the stress and strain fields of the experimental data for the samples in the delivery state and after hardening. The correspondence of the calculated and experimental data was matched. The numerical values are given for the anisotropy parameter connecting the circumferential and axial irreversible strains, for samples, in the delivery state, its numerical value is 0.1, and, for the hardened samples, it is 4.2. This indicates a significant anisotropy of the distribution of the axial and circumferential components of the residual strain tensor. It has been established that the compressive residual stresses are observed in the delivery state in the region adjacent to the inner surface, and the tensile stresses are observed in the layer on the outer surface. Only compressive stresses are observed in both regions after hardening, which significantly exceed in module similar stresses for the samples in the delivery state. The main results are illustrated by the tabular data and the corresponding diagrams of the distribution of residual stresses along the depth of the hardened layer.
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14

Na, Hong-Cheol, Hai-Bo Yuan, Gyuhae Park, and Young-Bae Kim. "Multiple-input and multiple-output force control for automobile component road simulation using model predictive control with proportional–integral–derivative." Journal of Vibration and Control, March 29, 2021, 107754632110005. http://dx.doi.org/10.1177/10775463211000510.

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When developing an entire vehicle system, testing the structure of the vehicle or each component as a module or individually is necessary to determine the reliability and ensure the endurance of the entire vehicle. Various tests have been conducted to check the durability of the parts. However, the most important part is the verification of the fatigue limit of the load vibration from the road surface when the vehicle is being driven. Verification can be achieved by experimenting while driving on a real road with a prototype vehicle best suited to the actual conditions. However, issues such as problems in time, space, and environmental constraints, inconsistency in driving characteristics of the test driver, and continuous monitoring exist. For testing the load vibration of the road surface in automobile parts in the laboratory, hydraulic servo actuators are used because they provide vibrational loads in multiple directions by configuring them in multiple axes rather than a single axis. In this article, a multiple-input multiple-output model predictive control–proportional–integral–derivative hybrid controller is proposed as the method for optimal control of a multi-axis hydraulic servo actuator used in a random road signal reproduction experiment. Its performance is compared with the simple proportional–integral–derivative controller. A method for obtaining an efficient black box multiple-input multiple-output system model using LabVIEW in a laboratory in the field is also introduced, and the effectiveness of the model predictive control–proportional–integral–derivative hybrid controller is shown by reproducing the actual road load.
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15

Hanke, Martin, and Jürgen Wibbeler. "Wie klingt die Maschine am Umrichter? Schnelle Berechnung und Auralisierung des Körperschalls." e & i Elektrotechnik und Informationstechnik, August 4, 2021. http://dx.doi.org/10.1007/s00502-021-00915-z.

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ZusammenfassungDie Vibrationen des Motorgehäuses als Quellen für den Körperschall elektrischer Maschinen sind zu großen Teilen bestimmt durch die Art der Ansteuerung im Umrichter, Frequenz und Tastverhältnis der PWM oder der Regelung. Im etablierten Workflow der Berechnung werden eine Periode der Maschine mittels FEM analysiert, die Anregungskräfte extrahiert und in der strukturmechanischen FEM-Analyse deren Fourier-Transformierte im Frequenzbereich zur Berechnung des Körperschalls verwendet. Für transiente Vorgänge wie schnelle Drehzahl- oder Pulsmusterwechsel ist das Verfahren ungeeignet. Mit größer werdender PWM-Frequenz wird auch das periodische Intervall so viele Zeitschritte erfordern, dass die FEM-basierte Feldberechnung zu lange dauert.Wir stellen ein Verfahren vor, welches die Maschine ausgehend vom FEM-Modell in ein reduziertes Modell überführt. Dieses enthält Terminals für Wicklungsströme und Rotordrehung als elektromechanische Größen und liefert weiterhin die momentanen Koeffizienten der Luftspaltkraftwellen als Ausgabegrößen. Das strukturmechanische Modell des Gehäuses wird mittels modaler Projektion auf ein Zustandsraummodell reduziert, dessen Terminals einerseits die Luftspaltkraftwellen aufnehmen und andererseits die Vibrationsmoden repräsentieren.Die Verhaltensmodelle werden in der Systemsimulation verknüpft. Aus den Resultaten für die Vibrationsmoden an der Oberfläche wird der zeitabhängige Schalldruck berechnet. Dieser wird als akustisches Signal hörbar gemacht. Statt Rechenzeiten im Stundenbereich für eine elektrische Periode zu benötigen, sind transiente Vorgänge mittels Systemsimulation in sehr kurzer Zeit hörbar und als Wasserfalldiagramm sichtbar zu machen.Eine geeignete Kombination von Reduktionsmethoden erlaubt die Reduktion des Antriebes auf eine Reihe von Verhaltensmodellen. Damit gestattet die schnelle Systemsimulation die Auralisierung von transienten Einflüssen der Ansteuerung der Maschine.
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16

"Energy Activation Spectrum of Low-Temperature Acoustic Relaxation in High-Purity Iron Single Crystal. Solution of the Inverse Problem of Mechanical Spectroscopy by the Tikhonov Regularization Method." 2, no. 2 (2021). http://dx.doi.org/10.26565/2312-4334-2021-2-03.

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When studying the temperature dependences of the acoustic absorption and the modulus of elasticity, absorption peaks are often observed, which correspond to the characteristic step on the temperature dependence of the modulus of elasticity. Such features are called relaxation resonances. It is believed that the occurrence of such relaxation resonances is due to the presence in the structure of the material of elementary microscopic relaxors that interact with the studied vibrational mode of mechanical vibrations of the sample. In a sufficiently perfect material, such a process is characterized by a relaxation time τ, and in a real defective material by a relaxation time spectrum P(τ). Most often such relaxation processes have a thermally activated character and the relaxation time τ(T) is determined by the Arrhenius ratio τ(T)=τ0exp(U0/kT), and the characteristics of the process will be U0 - activation energy, τ0 - period of attempts, Δ0 - characteristic elementary contribution of a single relaxator to the dynamic response of the material and their spectra. In the low temperatures region the statistical distribution of parameters τ0 and Δ0 can be neglected with exponential accuracy, and the relaxation contribution to the temperature dependences of absorption and the dynamic elasticity modulus of the material will be determined only by the activation energy spectrum P(U) of microscopic relaxors. The main task of mechanical spectroscopy in the analysis of such relaxation resonances is to determine U0, τ0, Δ0 and P(U). It is shown, that the problem of recovering of spectral function P(U) of acoustic relaxation of a real crystal can be reduced to the solving of the Fredholm integral equation of the first kind with an approximately known right part and concerns to a class of ill-posed problems. The method based on Tikhonov regularizing algorithm for recovering P(U) from experimental temperature dependences of absorption or elasticity module is offered. It is established, that acoustic relaxation in high-purity iron single crystal in the temperature range 5-100 K is characterized by two-modes spectral function P(U) with maxima at 0.037 eV and 0.015 eV, which correspond to the a-peak and its a' satellite.
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