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1

Magneto-thermo-piezo-elastic wave in an initially stressed rotating monoclinic crystal in a two-temperature theory

Yadav Anand Kumar

International Journal of Applied Mechanics and Engineering

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2023

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Vol. 28, no. 3

127--158

EN

This research problem is an investigation of wave propagation in a rotating initially stressed monoclinic piezoelectric thermo-elastic medium under with the effect of a magnetic field. A two-temperature generalized theory of thermo-elasticity in the context of Lord-Shulman’s theory is applied to study the waves under the magnetic field. The governing equations of a rotating initially stressed monoclinic piezoelectric thermo-elastic medium with a magnetic field are formulated. This research problem is solved analytically, for a two-dimensional model of the piezo-electric monoclinic solid, and concluded that there must be four piezo-thermoelastic waves, three coupled quasi waves (qP (quasi-P), qT (quasi-thermal), and qSV (quasi-SV)) and one piezoelectric potential (PE) wave propagating at different speeds. It is found that at least one of these waves is evanescent (an evanescent wave is a non-propagating wave that exists) and that there are therefore no more than three bulk waves. The speeds of different waves are calculated and the influence of the piezoelectric effect, two-temperature parameter, frequency, rotation, and magnetic field on phase velocity, attenuation coefficient, and specific loss is shown graphically. This model may be used in various fields, e.g. wireless communications, signal processing, and military defense equipment are all pertinent to this study.

2

Magnetic effects on surface waves in a rotating non-homogeneous half-space with grooved and impedance boundary characteristics

Anya A. I., Nwachioma C., Ali H.

International Journal of Applied Mechanics and Engineering

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2023

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Vol. 28, no. 4

26--42

EN

Investigation on the Mathematical modeling of waves in a rotating grooved and impedance boundary of a non-homogeneous fibre-reinforced solid half‐space under the influence of magnetic field and mechanical force is envisaged. We derived analytically, the dynamical equations for the rotating grooved and impedance boundary of the non-homogeneous fibre-reinforced solid under the influence of magnetic fields and mechanical force. Harmonic solution method of wave analysis is utilized. This is such that the component of displacements and stresses are developed and studied after employing dimensionless parameters in the equations of motion. Numerical computations are presented in graphical form by using Mathematica Software for a particular chosen material. We observed that the combined grooved, magnetic fields, impedance boundary etc. physical parameters, have remarkable effects on the material. A decrease in horizontal impedance yielded maximum amplitudes of displacements and stresses of the waves on the fibre-reinforced medium. The mechanical force and rotation of the medium induced increased behaviors to the amplitudes of displacement and stress components of the wave on the solid medium. Thus, this work should be of great importance in studies involving seismology and seismic Mechatronics solution for stress-wave generation in non-homogeneous materials.

3

Effects of viscous dissipative MHD fluid flow past a moving vertical plate with rotating system embedded in porous medium

Kumari D. Santhi, Sajja Venkata Subrahmanyam, Kishore P. M.

International Journal of Applied Mechanics and Engineering

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2023

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Vol. 28, no. 3

112--126

EN

An incompressible unsteady free convective viscous MHD rotating flow past a moving plate embedded in a porous medium is considered with the influence of viscous dissipation, heat source effects. It is assumed that the flow rotates with angular velocity which is normal to the plate and also that a transverse magnetic field is applied along the normal to the plate. Appropriate dimensionless quantities are applied to change the governing equations into dimensionless form. Then the equations are solved numerically using the Galerkin finite element method. Some important characteristics of the fluid are studied. The results are in good agreement with the available literature.

4

Rotation-Gamma Correction augmentation on CNN-Dense block for soil image classification

Maiyanti Sri Indra, Desiani Anita, Lamin Syafrina, Puspitashati, Arhami Muhammad, Gofar Nuni, Cahyana Destika

Applied Computer Science

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2023

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Vol. 19, no 3

96--115

EN

Soil is a solid particle that covers the surface of the earth. Soil can be classified based on its color because the color indicates the nature and condition of the soil. CNN works well for image classification, but it requires large amounts of data. Augmentation is a technique to increase the amount of training data with various transformation techniques to the existing data. Rotation and Gamma Correction can be used simply as an augmentation technique and can reproduce an image with as many image variations as desired from the original image. CNN architecture has a convolution layer and Dense block has dense layers. The addition of Dense blocks to CNN aims to overcome underfitting and overfitting problems. This study proposes a combination of Augmentation and classification. In augmentation, a combination of rotation and Gamma correction techniques is used to reproduce image data. The CNN-Dense block is applied for classification. The soil image classification is grouped based on 5 labels black soil, cinder soil, laterite soil, peat soil, and yellow soil. The performances of the proposed method provide excellent results, where accuracy, precision, recall, and F1-Score performances are above 90%. It can be concluded that the combination of rotation and Gamma Correction as augmentation techniques and CNN-Dense blocks is powerful for use in soil image classification.

5

Generalized plane waves in a rotating thermoelastic double porous solid

Pathania Vijayata, Kumar Rajesh, Gupta Vipin, Barak M. S.

International Journal of Applied Mechanics and Engineering

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2022

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Vol. 27, no. 4

138--154

EN

The propagation of plane waves in a rotating homogeneous, isotropic, thermoelastic solid with double porosity following Lord-Shulman’s theory of thermoelasticity has been investigated. It is assumed that the medium rotates about an axis normal to the surface with a uniform angular velocity. There may exist five coupled waves that evolved due to the longitudinal, transverse disturbance, voids of type-I and type-II, and temperature change in the medium. The secular equation for the model under consideration has been derived with the help of formal solutions and boundary conditions. The amplitude of displacements, temperature change and volume fraction fields for voids of type-I and type-II have also been computed analytically. Finally, numerical computations have been carried out for magnesium crystal material to understand the behavior of amplitude of phase velocity, penetration depth, specific loss, displacement components, temperature change, and volume fraction field due to type-I and type-II voids corresponding to the different rotation rates. Various graphs have been plotted to support the analytical findings. The study may be used in the development of rotation sensors, material design and thermal efficiency.

6

Combined effects of helical force and rotation on stationary convection of a binary ferrofluid in a porous medium

Kpossa M., Monwanou A. V.

International Journal of Applied Mechanics and Engineering

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2022

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Vol. 27, no. 2

158--176

EN

This work studies the simultaneous effects of helical force, rotation and porosity on the appearance of stationary convection in a binary mixture of a ferrofluid and on the size of convection cells. We have determined the analytical expression of the Rayleigh number of the system as a function of the dimensionless parameters. The effect of each parameter on the system is studied. The consideration of the simultaneous effect of the basic characteristics made it possible to determine the evolution of the convection threshold in the ferrofluid and then the size of convection cells. The analyzes of the various results obtained allowed us to deduce whether the convection sets in quickly or with a delay when the various effects taken into account in the study are considered simultaneously.

7

Laser-inclinometric method for displacement measurements in structural health monitoring

Wierzbicki Stanisław, Pióro Zbigniew, Osiniak Marcin

Archives of Civil Engineering

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2022

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Vol. 68, nr 4

607--616

EN

The paper presents a method of structural monitoring using measurement of vertical displacements realized optically by horizontally directed laser beam. A measuring device with an integrated rangefinder and inclinometer sensor was developed. Inclinometer sensor are used to correct measurement results of the rangefinder in order to eliminate errors resulting from spatial position changes of the laser beam. Such a solution was adopted as an alternative to a more complex and demanding method, which is the stabilization of the laser beam orientation. The proposed inclinometric correction method allows in a simple and clear way to eliminate a serious problem of the displacement measurement method with a perpendicularly directed laser beam, which is inevitable in practice the lack of permanent stability of the measuring device position. The developed measuring device is wireless, both in terms of power supply and communication with other elements of the monitoring system. In order to verify the correctness of measurements carried out by the developed device, on site tests were carried out in two industrial-warehouse buildings with functioning monitoring systems using other measurement methods, earlier verified. The tests confirmed compliance with the indications of the existing system at a level completely sufficient for structural monitoring system purposes. The conducted research show that the proposed method of displacements measurement with inclinometric correction of errors, provides accurate and reliable results, allowing also to obtain additional information about the behaviour of the structure in the place of installation of the measuring device.

PL

W artykule przedstawiono metodę monitoringu konstrukcji z wykorzystaniem pomiaru przemieszczeń pionowych realizowanych optycznie, poziomo skierowaną wiązką lasera. Po przeglądzie literatury przedmiotu oraz analizie uwarunkowań stosowania typowych metod pomiaru przemieszczeń, ze szczególnym uwzględnieniem pomiaru prostopadłego do kierunku przemieszczenia, zaproponowano praktyczną aplikację metody w systemie monitoringu. Opracowano urządzenie pomiarowe ze zintegrowanym dalmierzem i czujnikiem inklinometrycznym służącym do korekcji wyników pomiarów dalmierzem w celu eliminacji błędów wynikających ze zmian przestrzennego położenia wiązki lasera. Rozwiązanie takie przyjęto jako alternatywne do bardziej złożonej i wymagającej metody, jaką jest stabilizacja położenia wiązki. Opracowana inklinometryczna metoda korekcji pozwala w prosty i czytelny sposób wyeliminować poważny problem metody pomiaru przemieszczenia prostopadle skierowaną wiązką lasera, jakim jest nieunikniony w praktyce brak trwałej stabilności położenia urządzenia pomiarowego. Opracowane urządzenie pomiarowe jest bezprzewodowe, zarówno w kwestii zasilania jak i komunikacji z pozostałymi elementami systemu monitoringu. Zastosowane czujniki inklinometryczne MEMS są indywidualnie kalibrowane, co pozwala na uzyskanie odpowiedniej dokładności pomiaru kąta obrotu wiązki lasera, zapewniającej precyzję korekcji wyników pomiaru ugięcia na poziomie poniżej 1 mm. W celu sprawdzenia poprawności pomiarów realizowanych przez opracowane urządzenie, przeprowadzono badania testowe w dwóch obiektach przemysłowo-magazynowych z funkcjonującymi systemami monitoringu wykorzystującymi inne metody pomiaru. W jednym przypadku istniejący system monitoringu bazował na pomiarach kątów obrotu, w drugim zaś na bezpośrednich pomiarach ugięć pionowo skierowaną wiązką lasera. Testowane urządzenia zainstalowano w taki sposób, aby możliwe było bezpośrednie porównanie ich wskazań z pomiarami realizowanymi przez istniejące, wcześniej sprawdzone czujniki pomiarowe. Z przeprowadzonych badań wynika, że uzyskanie prawidłowych wyników pomiarów ugięć, skierowaną poziomo wiązką lasera wymaga wprowadzenia korekcji uwzględniającej przestrzenne zmiany położenia tej wiązki. Po odpowiedniej korekcji uzyskano zgodność ze wskazaniami istniejącego systemu na poziomie typowej dokładności systemu monitoringu konstrukcji, bazującego na przemieszczeniach. Badania potwierdziły, że zaproponowana metoda pomiaru przemieszczeń z inklinometryczną korekcją błędów wynikających z odchylania wiązki lasera od początkowego położenia, zapewnia dokładne i wiarygodne wyniki, pozwalając jednocześnie na uzyskanie dodatkowych informacji o zachowaniu się konstrukcji w miejscu instalacji urządzenia pomiarowego.

8

Anti-overturning safety performance investigation for single column pier bridge

Ji Yongcheng, Liu Wenchao, Li Wei, Wang Pixiang

Archives of Civil Engineering

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2022

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Vol. 68, nr 3

221--240

EN

Under eccentric load, a single column pier bridge often overturns. In order to study the anti overturning performance of a single column pier bridge, taking the accident bridge in Wuxi as an example, a finite element model is established based on ABAQUS. According to the model simulation results, the relationship between the ultimate rotational load and overturning load of the accident bridge is obtained, and the ratio of the latter to the former is 1.75. Based on the model, the stress state, displacement state, and support state of the accident bridge under dead load, highway class I vehicle load, and accident vehicle load are obtained. Whether the strength and stability of the accident bridge under each load meet the service requirements is analyzed. In order to explore the differences among China, United States, and Japan specifications, the lateral stability of accident bridges is checked. It is found that the safety of the United States and Japan specifications is conservative, but the utilization rate of bridge traffic capacity is low. The safety of China specifications is slightly lower, but it can maximize the bridge’s traffic capacity and judge the ultimate overturning state of the bridge more accurately. The research results can provide technical references for the design and application of a single-column pier bridge.

9

The influence of three different test positions and thigh asymmetry on measurements of isometric hip flexion strength in men and women

Mańka Jacek, Bobowik Patrycja, Jaskulski Karol, Wiszomirska Ida, Kaczmarczyk Katarzyna

Acta of Bioengineering and Biomechanics

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2022

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Vol. 24, no. 4

49--56

EN

The aim of this study was to compare muscle strength at 90° hip and knee flexion as measured in three different positions and to investigate whether an internal or external deficit in the range of rotation in the hip joint affects flexor muscle strength. Methods: We measured the peak muscle torque of rotation in the hip joint, using isometric torquemeter, and hip ROM in healthy participants N = 40, aged 21.6 ± 1.9, in three different measurement positions. We tested for differences between the positions, and for the potential influence of participant’s sex and ROM asymmetry. Results: The measured peak muscle torque was affected not only by sex and the value of hip flexion affect, but also by the position in which it is measured. Subjects with restricted external rotation of the hip joint (CERD) had significantly higher flexor peak muscle torque compared to subjects with restricted internal rotation (CIRD), in all but the supine position. For CERD, the results were: Supine (SuP) 1.02 ± 0.26; Sitting (StP) 1.32 ± 0.58; Standing (SP) 1.53 ± 0.47; and for CIRD, the results were: Supine (SuP) 1.05 ± 0.17; Sitting (StP) 1.05 ± 0.40; Standing (SP) 1.47 ± 0.53. Conclusions: Overall, measurement position and passive ROM significantly influence the peak muscle torque in isometric conditions. Moreover, an imbalance in thigh rotation movement significantly determines the magnitude of muscle torque of the hip flexion movement. Individuals with increased internal-toexternal rotation achieved significantly higher values for flexor muscle torque force moments. Overall, these findings are of importance for interpreting or comparing any reported values for muscle torque force moments.

10

Hip joint mobility in relation to measurement position, gender and limb dominance

Bobowik Patrycja Żaneta, Mańka Jacek, Jaskulski Karol, Kaczmarczyk Katarzyna

Acta of Bioengineering and Biomechanics

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2022

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Vol. 24, no. 2

65--73

EN

The purpose of this study was to determine whether three different measurement position yield divergent results in ROM using a goniometer, and how is it affected by anthropometrical factors. Methods: We measured the range of rotation in the hip joint in healthy participants aged 21.6 ± 1.88, seeking to determine how the distribution of internal vs. external rotation (RI) within the total range of mobility (TR) was influenced by the measurement position used, the gender of the participant, and the dominant lower limb. Results: We found that not only gender and limb dominance, but also the body position in which hip joint’s range of motion is measured significantly affects the values of TR and RI. We found that TR achieves the highest values in the prone position – PrP (males: 95.35 ± 12.44 and 93.15 ± 12.49; females: 103.75 ± 14.87 and 106.25 ± 15.56) and the lowest values in supine position – SuP (male: 62.65 ± 8.51 and 57.85 ± 9.60; female: 59.5 ± 12.27 and 55.85 ± 8.54). The analysis shows that CERD occurs <0.42 RI in females (PrP) and <0.88 RI in men (PrP and sitting position – StP), and CIRD >1.72 RI in women (StP), and >2.08 RI in men (PrP). Conclusions: Due to the similarities between asymmetry of internal/external rotation in the hip joint and asymmetry in the rotation of the shoulder found in Glenohumeral Internal Rotation Deficit (GIRD), we propose the concepts of Coxal Internal Rotation Deficit (CIRD) and Coxal External Rotation Deficit (CERD) as tools to indicate the possibility for injury to the hip joint, and propose threshold rotation index values serving as indicators of these deficits.

11

Effects of rotation on Jeffrey nanofluid flow saturated by a porous medium

Rana Gian C.

Journal of Applied Mathematics and Computational Mechanics

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2021

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Vol. 20, nr 3

17--29

EN

In this paper, the effects of rotation on a Jeffery nanofluid flow in a porous medium which is heated from below is studied. Darcy model is employed for porous medium and the Jeffrey fluid model is used as a base fluid. The Navier-Stokes equations of motion of fluid are modified under the influence of the Jeffrey parameter, naoparticles and rotation. The basic perturbation technique based on normal modes is applied to derive the dispersion relation for a Rayleigh number. The effects of the Taylor number, Jeffrey parameter, Lewis number, modified diffusivity ratio, nanoparticles Rayleigh number and medium porosity on the stationary convection of the physical system have been analyzed analytically and graphically. It is observed that the rotation parameter has a stabilising influence for both bottom/top-heavy configurations.

12

Effect of magnetic field on thermosolutal instability of rotating ferromagnetic fluid under varying gravity field

Pundir S. K., Nadian P. K., Pundir R.

International Journal of Applied Mechanics and Engineering

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2021

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Vol. 26, no. 1

201--214

EN

This paper deals with the theoretical investigation of the effect of a magnetic field, rotation and magnetization on a ferromagnetic fluid under varying gravity field. To find the exact solution for a ferromagnetic fluid layer contained between two free boundaries, we have used a linear stability analysis and normal mode analysis method. For the case of stationary convection, a stable solute gradient has a stabilizing effect, while rotation has a stabilizing effect if 0λ > and destabilizing effect if 0λ < . Further, the magnetic field is discovered to have both a stabilizing and destabilizing effect for both 0λ > and 0λ < . It is likewise discovered that magnetization has a stabilizing effect for both 0λ > and 0λ < in the absence of the stable solute gradient. Graphs have been plotted by giving numerical values of various parameters. In the absence of rotation, magnetic field and stable solute gradient, the principle of exchange of stabilities is found to hold true for certain conditions.

13

Reflection and Transmission of Plane Wave at an Interface Between Two Rotating Micropolar Piezoelectric Solid Half-Spaces

Singh Baljeet, Sangwan Asha, Singh Jagdish

Archives of Acoustics

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2021

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Vol. 46, No. 4

623--635

EN

In this paper, we investigate a problem on reflection and transmission of plane-waves at an interface between two dissimilar half-spaces of a transversely isotropic micropolar piezoelectric material. The entire model is assumed to rotate with a uniform angular velocity. The governing equations of rotating and transversely isotropic micropolar piezoelectric medium are specialized in a plane. Plane-wave solutions of two-dimensional coupled governing equations show the possible propagation of three coupled plane-waves. For an incident plane-wave at an interface between two dissimilar half-spaces, three reflected and three transmitted waves propagate with distinct speeds. The connections between the amplitude ratios of reflected and transmitted waves are obtained. The expressions for the energy ratios of reflected and transmitted waves are also obtained. A numerical example of the present model is considered to illustrate the effects of rotation on the speeds and energy ratios graphically.

14

Research of environmental and technological problems of cavitation

Cheilytko Andrii, Osaul Alexandr, Ilin Sergii, Volkov Timofii

Journal of New Technologies in Environmental Science

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2020

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Vol. 4, nr 1

36--48

EN

The comparative analysis of systems of conversion of electric energy into mechanical and mechanical into thermal with realization of effect of cavitation in a stream of the liquid transported in a closed circuit is carried out. The optimal dimensions and relief of working surfaces of swirlers in tubular and rotary cavitators are determined. The regularities of the change of the coolant temperature depending on its nature, the intensity of cavitation, which is determined by the rotational-translational and rotational motion in cavitators of two types - tubular and rotary.

15

The effect of magnetic field dependent viscosity on ferromagnetic convection in a rotating sparsely distributed porous medium - revisited

Prakash J., Kumar P., Manan S., Sharma K. R.

International Journal of Applied Mechanics and Engineering

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2020

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Vol. 25, no. 1

142--158

EN

The effect of magnetic field dependent (MFD) viscosity on the thermal convection in a ferrofluid layer saturating a sparsely distributed porous medium has been investigated by using the Darcy-Brinkman model in the simultaneous presence of a uniform vertical magnetic field and a uniform vertical rotation. A correction is applied to the study of Vaidyanathan et al. [11] which is very important in order to predict the correct behavior of MFD viscosity. A linear stability analysis has been carried out for stationary modes and oscillatory modes separately. The critical wave number and critical Rayleigh number for the onset of instability, for the case of free boundaries, are determined numerically for sufficiently large values of the magnetic parameterM1 . Numerical results are obtained and are illustrated graphically. It is shown that magnetic field dependent viscosity has a destabilizing effect on the system for the case of stationary mode and a stabilizing effect for the case of oscillatory mode, whereas magnetization has a destabilizing effect.

16

Inclinometer method of displacement measurements as an alternative to optical measurements in structural health monitoring - on site tests

Wierzbicki S., Pióro Z., Osiniak M., Antoszkiewicz E.

Archives of Civil Engineering

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2020

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Vol. 66, nr 3

109--124

EN

The paper presents a method of structural monitoring with the use of angular and linear displacement measurements performed using inclinometer and laser measuring devices. The focus is mainly on the inclinometer measurement method, which is a solution free from the basic disadvantages of optical methods, such as sensitivity to any type of visibility restrictions, pollution or influence of weather conditions. Testing of this method was carried out in practical application in an wireless monitoring system, installed in a large-area industrial building. The measurement results performed using the inclinometers were compared with simultaneous measurements of linear displacements performed with the use of proven methods based on laser rangefinders. The research and analysis show that the method of measuring angular displacements using the inclinometers with MEMS sensors of appropriate quality is a very good, better than typical optical methods, solution of structural monitoring systems that allows to obtain accurate and reliable results.

PL

W artykule przedstawiono badania "In-situ" metody monitorowania przemieszczeń konstrukcji, bazującej na pomiarach kątów obrotu realizowanych przy pomocy inklinometrów. Badania przeprowadzono w obiekcie produkcyjnym o stalowej konstrukcji nośnej, w którym występują zarówno przestrzenie zamknięte, nie narażone na ujemne temperatury i inne wpływy środowiskowe, jak i przestrzenie otwarte o charakterze wiat, narażone na bezpośrednie działanie środowiska atmosferycznego. Konstrukcję hali stanowi układ stalowych, jednoprzęsłowych płatwi kratowych o rozpiętości 18 m i dźwigarów kratownicowych o rozpiętości osiowej równej 15 m, opartych na słupach żelbetowych utwierdzonych w fundamentach. W obiekcie zainstalowano zarówno czujniki inklinometryczne jak i dalmierze laserowe, przy czym w artykule skupiono się na pomiarach kątów obrotu realizowanych przy pomocy czujników inklinometrycznych, a wyniki pomiarów ugięć były analizowane jedynie w celach porównawczych.

17

Inclinometer method of displacement measurements as an alternative to optical measurements in structural health monitoring - laboratory tests

Wierzbicki S., Pióro Z., Osiniak M., Antoszkiewicz E.

Archives of Civil Engineering

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2020

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Vol. 66, nr 2

147--164

EN

The paper presents a method of structural monitoring with the use of angular displacement measurements performed with inclinometer devices. Inclinometer method is a solution free from the basic disadvantages of optical methods used commonly in structural monitoring, such as sensitivity to any type of visibility restrictions, pollution or influence of weather conditions. At the same time, with appropriate sensor parameters, a much better measurement accuracy is obtained than for typical optical methods and very low energy demand and moderate costs are achieved. Taking into account the above-mentioned issues, in the first stage an appropriate MEMS-type inclinometer sensor was selected, its laboratory tests were carried out and a method of the offset temperature drift correction, individual for each sensor, was developed.

PL

W artykule przedstawiono metodę pomiaru przemieszczeń kątowych, realizowanych przy pomocy inklinometrów, jako alternatywę do stosowanych w monitoringu konstrukcji optycznych metod pomiarowych. Po krótkim wprowadzeniu dotyczącym ogólnie zagadnień monitoringu konstrukcji, przeprowadzono analizę metod pomiarowych stosowanych w systemach monitoringu, ze szczególnym uwzględnieniem pomiarów przemieszczeń oraz zalet i wad tych metod. Z analiz tych wynika, że rozwiązaniem wolnym od głównych wad typowych metod optycznych są pomiary inklinometryczne. Są one niewrażliwe na wszelkiego typu ograniczenia widoczności, zanieczyszczenia czy oddziaływania atmosferycznie, a bazą dla pomiarów jest wektor grawitacji, dostępny zawsze i wszędzie. Przeprowadzono analizę dostępnych rozwiązań czujników inklinometrycznych, mającą na celu wytypowanie sensora pozwalającego na uzyskanie odpowiedniej dokładności pomiarów przy umiarkowanych kosztach urządzenia i małym zapotrzebowaniu na energię, co jest szczególnie ważne w przypadku planowanego zastosowania czujnika w systemach bezprzewodowych i wpisuje się w powszechną tendencję do oszczędzania energii. Mając na względzie powyższe kwestie dobrano odpowiedni sensor inklinometryczny typu MEMS i przeprowadzono testy laboratoryjne jego właściwości metrologicznych przyjmując, że musi on zapewniać dokładność porównywalną do typowych czujników laserowych - przyjęto, że błąd pomiaru nie może być większy niż 5%. W tego typu czujnikach błędy pomiaru wynikają w głównej mierze z temperaturowego dryftu czułości i dryftu offsetu. Analizy i testy wykazały, że przy zastosowaniu tylko zewnętrznej kompensacji programowej czujnika, można uzyskać temperaturowy dryft czułości sensora na poziomie 50ppm/°C, co oznacza że błąd pomiaru będzie nie większy niż ±0.00025°/°C nawet przy nachyleniu początkowym inklinometru rzędu 5°. Zakładając, że połowa z założonego maksymalnego błędu, równego 5%, będzie "przeznaczona" na dryft czułości, czujnik może być stosowany nawet w zakresie temperatur ±40°C, a więc całkowicie wystarczającym z punktu widzenia systemu monitoringu. Inaczej przedstawia się sytuacja w przypadku błędu wynikającego z temperaturowego dryftu offsetu - standardowa wartość dryftu offsetu wynosi ±0.002°/°C, a więc jest prawie dziesięciokrotnie większa od wymaganej (±0.00025°/°C). Jest tu więc konieczna indywidualna kompensacja programowa dla każdego sensora. W celu opracowania metody tej kompensacji, każdy sensor był badany w odpowiednio przygotowanej i przetestowanej przy pomocy inklinometru wzorcowego, komorze termicznej. W celu wyeliminowania wpływu dryftu czułości sensora na wyniki, badania prowadzono przy kątach nachylenia inklinometru bliskich zeru. Zmierzone zależności kąta nachylenia od temperatury były aproksymowane indywidualnie dla każdego czujnika, wielomianami 4-go stopnia, które następnie były wykorzystywane do kompensacji wskazań inklinometrów. Po takiej korekcji uzyskiwano stabilność zera na poziomie lepszym niż 0.0005° w pełnym zakresie temperatury, co spełnia z nadmiarem zakładane wymagania i potrzeby zastosowania inklinometrów w systemach monitoringu konstrukcji. Następny etap badań to testowanie skalibrowanych czujników w badaniach "In-situ", w monitoringu konstrukcji funkcjonującego obiektu - zostaną one przedstawione w innym artykule.

18

Algorytmy do analizy składowych wektora prędkości

Gawor Marek, Sobczyk Jacek, Wodziak Waldemar

Prace Instytutu Mechaniki Górotworu PAN

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2019

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T. 21, nr 1-4

39--47

PL

W artykule przedstawiono algorytmy komputerowe zaprojektowane w celu analizy składowych płaskiego pola prędkości. Informacje o składowych wektora prędkości pochodzą z programu Dantec Dynamic Studio lub programu powstałego w Instytucie. Analizowane są wszystkie pliki z wybranego katalogu. Programy te generują płaskie pola prędkości wyznaczane przy pomocy anemometrii cyfrowej (Particle Image Velocimetry – PIV). W programie możemy analizować składowe wektora prędkości wzdłuż linie poziomej i pionowej. Możemy zapisać pliki w celu narysowania trójwymiarowego pola wybranej składowej wektora prędkości lub zmiany składowych w czasie. Istnieje możliwość wyznaczenia sumy, wartości średniej, odchylenia standardowego, czy rotacji wektora prędkości.

EN

Algorithms used to analyze velocity of vector components are presented in the paper. Information about velocity components come from Dantec Dynamic Studio Program or program designed by the authors. All of the files from the selected catalogue are analyzed. As a result 2D velocity fields are generated from the PIV data. The authored computer program allows to analyze velocity vector components along horizontal and vertical lines. Files saved are used to draw a three dimensional velocity fields or to visualize variations of the components of velocity vectors in time. Statistical parameters such as: sum, mean, standard deviation or rotation of the velocity vector are routinely computed.

19

Electrohydrodynamic instability of a rotating Walters’ (model B’) fluid in a porous medium: Brinkman model

Rana G. C., Chand R., Sharma Veena

Mechanics and Mechanical Engineering

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2019

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Vol. 23, nr 1

138--143

EN

In this study, the instability of Walters’ (model B’) viscoelastic fluid in a Darcy-Brinkman-Boussinesq system heated from below saturating a porous medium in electrohydrodynamics is considered. By applying the linear stability analysis and normal modes, the dispersion relations accounting for the effect of Prandtl number, electric Rayleigh number, Darcy number, Brinkman-Darcy number, Taylor number and kinematic viscoelasticity parameter is derived. The effects of electric Rayleigh number, Darcy number, Brinkman-Darcy number and Taylor number on the onset of stationary convection have been investigated both analytically and graphically.

20

Propagation and reflection of magneto-elastic plane waves at the free surface of a rotating micropolar fibre-reinforced medium with voids

Anya Augustine Igwebuike, Khan Aftab

Journal of Theoretical and Applied Mechanics

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2019

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Vol. 57 nr 4

869--881

EN

This work investigates rotational effects on propagation and reflection of waves at the free surface of a micropolar fibre-reinforced medium with voids under magnetic fields. When the P-wave is incident on the free surface, there exist four coupled reflected plane waves traveling in the medium; quasi-longitudinal displacement (qLD) wave, quasi-transverse displacement (qTD) wave, quasi-transverse microrotational (qTM) wave and a wave due to voids. Normal mode analysis is adopted in concomitant with Snell’s laws, and appropriate boundary conditions in determination of the solution. Amplitude ratios which correspond to reflected waves in vertical and horizontal components are presented analytically and graphically.