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Wyświetlanie 1-15 z 15
Tytuł:
Influence of Annealing Treatment on Deep Drawing Behavior of Q235 Carbon Steel /410/304 Stainless Steels Three-Layer Composite Plate
Autorzy:
Lv, Zehua
Zhang, Zhixiong
Han, Jianchao
Wang, Tao
Powiązania:
https://bibliotekanauki.pl/articles/2106574.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
composite plate
deep drawing
annealing
microstructure
Opis:
Effect of annealing treatment on deep drawing behavior of hot-rolled Q235 carbon steel/410/304 stainless steel three-layer composite plate was investigated. Deep drawability of the unannealed composite plates exhibits a sharp difference for various contact surfaces with the die. The limit drawing ratio (LDR) of the composite plate with the carbon steel contacting the die is 1.75, while it is 1.83 with the stainless steel contacting the die due to the different mechanical responses to the tensile stress at the corner of the die. After annealing at 900°C for 2 h, however, the deep drawabilities of the composite plates both for various contact surfaces with the die are significantly improved and becomes almost identical, which are attributed to the stress relief, the enhanced ductility and the improved interface bonding strength of the hot-rolled component plates during annealing.
Źródło:
Archives of Metallurgy and Materials; 2022, 67, 2; 421--433
1733-3490
Pojawia się w:
Archives of Metallurgy and Materials
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ultrasonic Assisted Active-Passive Filling Friction Stir Repairing to Eliminate Volume Defects
Autorzy:
Wang, Tao
Gong, Xue
Ji, Shude
Xue, Gang
Lv, Zan
Powiązania:
https://bibliotekanauki.pl/articles/2049431.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
friction stir repairing
magnesium alloys
defects
ultrasonic
mechanical properties
Opis:
Ultrasonic assisted active-passive filling friction stir repairing (A-PFFSR) was proposed to repair volume defects in the metallic parts. Sound joints without interfacial defects could be achieved. Firstly, the ultrasonic was beneficial to improving material flow and atom diffusion, and then eliminated kissing bond defects compared to conventional A-PFFSR joints. Secondly, the equiaxed grains were refined by ultrasonic vibration. Lastly, the repairing passes were reduced due to the ultrasonic, which decreased softening degree of the repaired joints. The maximum tensile strength of 150 MPa was achieved. Therefore, this strategy to repair the volume defects is feasibility and potential in the remanufacturing fields of aerospace and transportation.
Źródło:
Archives of Metallurgy and Materials; 2021, 66, 1; 217-222
1733-3490
Pojawia się w:
Archives of Metallurgy and Materials
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized PI observer design for descriptor linear system
Autorzy:
Wang, Xin-Tao
Yu, Hai-Hua
Powiązania:
https://bibliotekanauki.pl/articles/229300.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
generalized proportional-integral observer
Sylvester matrix equation
regularity
impulse-freeness
Opis:
A kind of generalized proportional-integral (GPI) observer for descriptor linear systems is introduced. We first propose two complete parametric solutions to generalized Sylvester matrix equation corresponding to the left eigenvector matrices in the case of Jordan form. Then a parametric design approach for the observer is presented. The proposed method provides all parametric expression of the gain matrices and the corresponding finite left eigenvector matrix and guarantees the regularity and impulse-freeness of the expanded error system. Two numerical examples are given to explain the design procedure and illustrate the effectiveness of the proposed method.
Źródło:
Archives of Control Sciences; 2019, 29, 4; 585-601
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simulation studies on the influence of other combustible gases on the characteristics of methane explosions at constant volume and high temperature
Autorzy:
Luo, Zhenmin
Liu, Litao
Gao, Shuaishuai
Wang, Tao
Su, Bin
Wang, Lei
Yang, Yong
Li, Xiufang
Powiązania:
https://bibliotekanauki.pl/articles/1853863.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
gaz palny
ciśnienie wybuchu
temperatura płomienia
constant volume
volume fraction of combustible gas
initial temperature
adiabatic flame temperature
maximum explosion pressure
Opis:
Gas explosions are major disasters in coal mining, and they typically cause a large number of deaths, injuries and property losses. An appropriate understanding of the effects of combustible gases on the characteristics of methane explosions is essential to prevent and control methane explosions. FLACS software was used to simulate an explosion of a mixture of CH4 and combustible gases (C2H4, C2H6, H2, and CO) at various mixing concentrations and different temperatures (25, 60, 100, 140 and 180℃). After adding combustible gases to methane at a constant volume and atmospheric pressure, the adiabatic flame temperature linearly increases as the initial temperature increases. Under stoichiometric conditions (9.5% CH4-air mixture), the addition of C2H4 and C2H6 has a greater effect on the adiabatic flame temperature of methane than H2 and CO at different initial temperatures. Under the fuel-lean CH4-air mixture (7% CH4-air mixture) and fuel-rich mixture (11% CH4-air mixture), the addition of H2 and CO has a greater effect on the adiabatic flame temperature of methane. In contrast, the addition of combustible gases negatively affected the maximum explosion pressure of the CH4-air mixture, exhibiting a linearly decreasing trend with increasing initial temperature. As the volume fraction of the mixed gas increases, the adiabatic flame temperature and maximum explosion pressure of the stoichiometric conditions increase. In contrast, under the fuel-rich mixture, the combustible gas slightly lowered the adiabatic flame temperature and the maximum explosion pressure. When the initial temperature was 140℃, the fuel consumption time was approximately 8-10 ms earlier than that at the initial temperature of 25℃. When the volume fraction of the combustible gas was 2.0%, the consumption time of fuel reduced by approximately 10 ms compared with that observed when the volume fraction of flammable gas was 0.4%.
Źródło:
Archives of Mining Sciences; 2021, 66, 2; 279-295
0860-7001
Pojawia się w:
Archives of Mining Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Research on Fretting Fatigue of Tungsten Carbide Coating Based on Strain Energy Density Methods
Autorzy:
Zeng, Xin
Wang, Xiaoxiao
Ping, Xuecheng
Wang, Renjie
Hu, Tao
Powiązania:
https://bibliotekanauki.pl/articles/2203727.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
WC coating
crack initiation
cracking angle
critical plane
life prediction
Opis:
The numerical solutions of stress and strain components on the critical plane of tungsten carbide coating were solved based on the critical plane method in three-dimensional coordinate system, and accordingly three strain energy density parameters (Smith-Watson-Topper, Nita-Ogatta-Kuwabara and Chen parameters) were determined to reveal the fretting fatigue characteristics of tungsten carbide coating. In order to predict the fretting fatigue life based on the strain energy density criterion, the expressions between the strain energy density parameter and the fretting fatigue life was obtained experimentally. After the comparison of the three strain energy parameters, it was found that all three parameters could accurately predict the crack initiation position, but only the Smith-Watson-Topper parameters could accurately predict the crack initiation angle. The effects of cyclic load, normal load and friction coefficient on fretting fatigue damage behaviors were discussed by using the Smith-Watson-Topper criterion. The results show that the fretting fatigue life decreases with the increase of cyclic load; an increase in the normal contact load will cause the Smith-Watson-Topper damage parameters more concentrated at the outer edge of the bridge foot; a decrease in the friction coefficient will increase the Smith-Watson-Topper damage parameters in the middle of the contact surface.
Źródło:
Archives of Metallurgy and Materials; 2023, 68, 1; 21--30
1733-3490
Pojawia się w:
Archives of Metallurgy and Materials
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Experimental investigation on mode II fracture performance of old-new concrete
Autorzy:
Liu, Shuang
Shi, Zhenwu
Jiang, Tao
Wang, Huili
Powiązania:
https://bibliotekanauki.pl/articles/2179402.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
beton nowy-stary
osadzenie
pręt zbrojeniowy
włókno bazaltowe
pękanie typu II
odporność na pękanie
energia pęknięcia
new-old concrete
planting
rebar
basalt fiber
mode II fracture
fracture toughness
fracture energy
Opis:
The old-new concrete interface is the weakest part in the composite structure, and there are a large number of microcracks on the interface. In order to study the mode II fracture performance of the bonding surface of old-new concrete, the effect of planting rebar and basalt fiber is investigated. Nine Z-shaped old-new concrete composite specimens with initial cracks are made. Nine shear fracture load-displacement curves are obtained, and the failure process and interface fracture are discussed. On this basis, the mode II fracture toughness and fracture energy are obtained. The regression equations for fracture toughness and fracture energy are deduced with analysis of variance (ANOVA). The results show that fracture toughness and fracture energy increase with the increase of planting rebar number and basalt fiber content. With the increase of the planting rebar number, mode II fracture toughness and fracture energy increase more significantly. Planting rebar is the major factor for mode II fracture performance.
Źródło:
Archives of Civil Engineering; 2022, 68, 3; 469--480
1230-2945
Pojawia się w:
Archives of Civil Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Harmonic mitigation in 18-pulse rectifier based on zigzag autotransformer by DC side auxiliary circuit
Autorzy:
Liu, Jiongde
Chen, Xiaoqiang
Wang, Ying
Chen, Tao
Powiązania:
https://bibliotekanauki.pl/articles/949860.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
18-pulse rectifier
harmonic suppressing
zigzag autotransformer
Opis:
To improve the power quality of a multi-pulse rectifier, a zigzag 18-pulse uncontrolled rectifier with an auxiliary circuit at the DC side is proposed. When the grid-side currents are sinusoidal waves, the required DC side injection currents to be compensated can be obtained by analyzing the AC-DC side relationship of diode bridge rectifiers. Then the 6 compensation currents generated by an active auxiliary circuit are injected into the DC side to eliminate the grid-side harmonics of the rectifier. The simulation results verifying the correctness of the theoretical analysis show that the proposed rectifier can mitigate the harmonic content, as the total harmonic distortion of the grid-side current is about 1.45%. In addition, the single-phase inverter used in the active auxiliary circuit has the characters of simple circuit structure and easy controllability.
Źródło:
Archives of Electrical Engineering; 2020, 69, 4; 891-905
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Research on hybrid modeling and predictive energy management for power split hybrid electric vehicle
Autorzy:
Wang, Shaohua
Zhang, Sheng
Shi, Dehua
Sun, Xiaoqiang
Yang, Tao
Powiązania:
https://bibliotekanauki.pl/articles/2173576.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
power split HEV
energy management
mixed logical dynamical model
piecewise affine
model predictive control
podział mocy
zarządzanie energią
silnik hybrydowy
model dynamiczny
model mieszany
model logiczny
technologia fragmentarycznie pokrewna
kontrola predykcyjna modelu
Opis:
Due to the coexistence of continuity and discreteness, energy management of a multi-mode power split hybrid electric vehicle (HEV) can be considered a typical hybrid system. Therefore, the hybrid system theory is applied to investigate the optimum energy distribution strategy of a power split multi-mode HEV. In order to obtain a unified description of the continuous/discrete dynamics, including both the steady power distribution process and mode switching behaviors, mixed logical dynamical (MLD) modeling is adopted to build the control-oriented model. Moreover, linear piecewise affine (PWA) technology is applied to deal with nonlinear characteristics in MLD modeling. The MLD model is finally obtained through a high level modeling language, i.e. HYSDEL. Based on the MLD model, hybrid model predictive control (HMPC) strategy is proposed, where a mixed integer quadratic programming (MIQP) problem is constructed for optimum power distribution. Simulation studies under different driving cycles demonstrate that the proposed control strategy can have a superior control effect as compared with the rule-based control strategy.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2021, 69, 3; art. no. e137064
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Columnar Dendrite Morphology and Solute Concentration of GH3039 Nickel-Based Superalloys during Wire and Laser Additive Manufacturing: Insights from Phase Field Simulations
Autorzy:
Zong, Nanfu
Wang, Zheng
Liu, Yang
Liang, Xinghong
Jing, Tao
Powiązania:
https://bibliotekanauki.pl/articles/2203717.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
wire and laser additive manufacturing
phase field simulation
solute concentration
interface crystallographic deflection
columnar dendrite
Opis:
Wire and laser additive manufacturing (WLAM) can produce outstanding mechanical properties of GH3039 nickel-based superalloys. A quantitative rapid phase field model with solute trapping kinetics has been developed during the rapid solidification process, where a range of process conditions are considered in terms of thermal gradients and pulling speeds. Intergranular hot cracking is found to occur at boundaries of tilted columnar dendrite in the GH3039 nickel-based superalloys. The simulations demonstrate that the phase field model considering the interface deflection can represent the dendrite growth during additive manufacturing more realistically. With the aid of numerical simulations, it is determined that dendrite growth morphologies transform from symmetrical columnar dendrite to tilted columnar dendrite as the interface crystallographic deflection is increased, while increasing the deflection angle can lead to uneven composition of material matrix, especially at the columnar dendrite interface. Solute concentrations at the columnar dendrite interface tend to promote hot cracking in additively manufactured Ni-based superalloy.
Źródło:
Archives of Metallurgy and Materials; 2023, 68, 1; 387--393
1733-3490
Pojawia się w:
Archives of Metallurgy and Materials
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Defect recognition of buried pipeline based on approximate entropy and variational mode decomposition
Autorzy:
Ju, Haiyang
Wang, Xinhua
Zhang, Tao
Zhao, Yizhen
Ullah, Zia
Powiązania:
https://bibliotekanauki.pl/articles/221572.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Buried Pipeline
Defect Recognition
Geomagnetic Anomaly Detection
Variational Mode Decomposition
Approximate Entropy
Opis:
The study aimed to examine the use of Geomagnetic Anomaly Detection (GAD) to locate the buried ferromagnetic pipeline defects without exposing them. However, the accuracy of GAD is limited by the background noise. In the present work, we propose an approximate entropy noise suppression (AENS) method based on Variational Mode Decomposition (VMD) for detection of pipeline defects. The proposed method is capable of reconstructing the magnetic field signals and extracting weak anomaly signals that are submerged in the background noise, which was employed to construct an effective detector of anomalous signals. The internal parameters of VMD were optimized by the Scale–Space algorithm, and their anti-noise performance was compared. The results show that the proposed method can remove the background noise in high-noise background geomagnetic field environments. Experiments were carried out in our laboratory and evaluation results of inspection data were analysed; the feasibility of GAD is validated when used in the application to detection of buried pipeline defects.
Źródło:
Metrology and Measurement Systems; 2019, 26, 4; 739-755
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new optical frequency transfer method via fibre based on active phase noise compensation with single acousto-optic modulator
Autorzy:
Wang, Guoyong
Yao, Yuanbo
Yan, Tao
Bian, Lang
Meng, Yansong
Powiązania:
https://bibliotekanauki.pl/articles/221592.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
acousto-optic modulator
optical frequency transfer over fibre
phase noise compensation
relative frequency stability
Opis:
In this paper, we propose and experimentally demonstrate a new method for optical frequency transfer over fibre. Instead of dual acousto-optic modulators (AOMs) as adopted in the traditional fibre phase noise compensation setup, here an active fibre phase noise compensation scheme with a single acousto-optic modulator (AOM) is used. The configuration simplifies the equipment of the user end while maintaining a high-performance optical frequency transfer stability. We demonstrate an actively stabilized coherent transfer at an optical frequency of 193.55THz over 10-km spooled fibre, obtaining a relative frequency stability (Allan deviation) of 3.84 x 10-16/1 s and 4.08 x 10-18/104 s, which is improved by about 2~3 orders of magnitude in comparison with the one without any phase noise compensation that achieves a relative frequency stability of 1.81 x 10-14/1 s and 2.48 x 10-15/104 s.
Źródło:
Metrology and Measurement Systems; 2019, 26, 1; 115-124
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Research on hybrid modeling and predictive energy management for power split hybrid electric vehicle
Autorzy:
Wang, Shaohua
Zhang, Sheng
Shi, Dehua
Sun, Xiaoqiang
Yang, Tao
Powiązania:
https://bibliotekanauki.pl/articles/2128153.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
power split HEV
energy management
mixed logical dynamical model
piecewise affine
model predictive control
podział mocy
zarządzanie energią
silnik hybrydowy
model dynamiczny
model mieszany
model logiczny
technologia fragmentarycznie pokrewna
kontrola predykcyjna modelu
Opis:
Due to the coexistence of continuity and discreteness, energy management of a multi-mode power split hybrid electric vehicle (HEV) can be considered a typical hybrid system. Therefore, the hybrid system theory is applied to investigate the optimum energy distribution strategy of a power split multi-mode HEV. In order to obtain a unified description of the continuous/discrete dynamics, including both the steady power distribution process and mode switching behaviors, mixed logical dynamical (MLD) modeling is adopted to build the control-oriented model. Moreover, linear piecewise affine (PWA) technology is applied to deal with nonlinear characteristics in MLD modeling. The MLD model is finally obtained through a high level modeling language, i.e. HYSDEL. Based on the MLD model, hybrid model predictive control (HMPC) strategy is proposed, where a mixed integer quadratic programming (MIQP) problem is constructed for optimum power distribution. Simulation studies under different driving cycles demonstrate that the proposed control strategy can have a superior control effect as compared with the rule-based control strategy.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2021, 69, 3; e137064, 1--15
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A sampling method based on improved firefly algorithm for profile measurement of aviation engine blade
Autorzy:
Huang, Zhi
Zhao, Liao
Li, Kai
Wang, Hongyan
Zhou, Tao
Powiązania:
https://bibliotekanauki.pl/articles/221479.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
aviation engine blade
coordinate measurement machine
profile measurement
improved firefly algorithm
Opis:
Coordinate Measurement Machines (CMMs) have been extensively used in inspecting mechanical parts with higher accuracy. In order to enhance the efficiency and precision of the measurement of aviation engine blades, a sampling method of profile measurement of aviation engine blade based on the firefly algorithm is researched. Then, by comparing with the equal arc-length sampling algorithm (EAS) and the equi-parametric sampling algorithm (EPS) in one simulation, the proposed sampling algorithm shows its better sampling quality than the other two algorithms. Finally, the effectiveness of the algorithm is verified by an experimental example of blade profile. Both simulated and experimental results show that the method proposed in this paper can ensure the measurement accuracy by measuring a smaller number of points.
Źródło:
Metrology and Measurement Systems; 2019, 26, 4; 757-771
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Geomagnetic detection method for pipeline defects based on ceemdan and WEP-TEO
Autorzy:
Zhang, Tao
Wang, Xinhua
Chen, Yingchun
Shuai, Yi
Ullah, Zia
Ju, Haiyang
Zhao, Yizhen
Powiązania:
https://bibliotekanauki.pl/articles/220762.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
geomagnetic detection
pipeline defects
magnetic field
filtering
data processing
Opis:
This paper presents a geomagnetic detection method for pipeline defects using complete ensemble empirical mode decomposition with adaptive noise (CEEMDAN) and wavelet energy product (WEP) - Teager energy operator (TEO), which improves detection accuracy and defect identification ability as encountering strong inference noise. The measured signal is first subtly decomposed via CEEMDAN into a series of intrinsic mode functions (IMFs), which are then distinguished by the Hurst exponent to reconstruct the filtered signal. Subsequently, the scale signals are obtained by using gradient calculation and discrete wavelet transform and are then fused by using WEP. Finally, TEO is implemented to enhance defect signal amplitude, completing geomagnetic detection of pipeline defects. The simulation results created by magnetic dipole in a noisy environment, indoor experiment results and field testing results certify that the proposed method outperforms ensemble empirical mode decomposition (EEMD)-gradient, EEMD-WEP-TEO, CEEMDAN-gradient in terms of detection deviation, peak side-lobe ratio (PSLR) and integrated side-lobe ratio (ISLR).
Źródło:
Metrology and Measurement Systems; 2019, 26, 2; 345-361
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effect of High-Temperature Annealing on the Cross-Tension Property of Resistance Spot Welded Medium-Mn Steel
Autorzy:
Zhao, Bingge
Wang, Yuanfang
Sun, Chenyu
Ding, Kai
Wu, Guanzhi
Wei, Tao
Pan, Hua
Gao, Yulai
Powiązania:
https://bibliotekanauki.pl/articles/2174565.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
medium Mn steel
resistance spot welding
cross-tension strength
martensite
fracture
Opis:
As one of the most promising 3rd generation advanced high strength steels (AHSS), medium Mn steels attract much attention because of their exceptional mechanical property and reasonable cost. However, their application in the modern automotive industry is limited by poor weldability. In this study, 7Mn steel was welded by resistance spot welding (RSW), which was followed by high-temperature annealing to increase the cross-tension property. With this effort, enhanced cross-tension strength (CTS) with a partial interfacial fracture (PIF) mode was realized. During the annealing after RSW that produced martensite, austenitization was realized and then evolved into martensite by the following air cooling. This process produced structure homogeneity across the joint. With respect to the RSW joint, martensite remained the dominant structure after annealing while the diffusion of C and Mn solutes was triggered. With the increase of annealing temperature, the diffusion was enhanced, and the grain boundary embrittlement was reduced, leading to higher CTS.
Źródło:
Archives of Metallurgy and Materials; 2022, 67, 4; 1293--1298
1733-3490
Pojawia się w:
Archives of Metallurgy and Materials
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-15 z 15

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