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Tytuł:
Analytical solutions to boundary value problem of free vibration of sandwich thin circular plates with discrete elements
Autorzy:
Żur, K. K.
Jaroszewicz, J.
Dragun, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/265886.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
free vibrations
non-homogeneous material
sandwich circular plate
variable parameters
annular mass
wibracje
płyta wielowarstwowa
zmienne parametry
Opis:
In the paper the influence function and the method of partial discretization in free axisymmetric vibration analysis of multilayered circular plates of constant and linearly variable thickness were presented. The effects of shear deformation and rotary inertia for the core as well as the facings were neglected. An analytical investigation based on the classical plate theory was made for the multilayered plate which satisfies Sokołowski’s condition. Discretization of mass and replacing stiffness of a fixed circular plate were presented. Formulas of influence matrix and Bernstein-Kieropian’s estimators for different steps of discretization were defined. The influence of variable distribution of parameters on the value of double estimators of natural basic and higher frequency of a sandwich circular plate was investigated.
Źródło:
International Journal of Applied Mechanics and Engineering; 2015, 20, 3; 617-627
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Metoda dyskretyzacji częściowej w analizie drgań własnych niejednorodnych płyt kołowych z wtrąceniami w postaci masy pierścieniowej
The method of partial discretization in free vibration analysis of non-homogeneous circular plates with additional annular mass
Autorzy:
Żur, K. K.
Jaroszewicz, J.
Powiązania:
https://bibliotekanauki.pl/articles/209463.pdf
Data publikacji:
2013
Wydawca:
Wojskowa Akademia Techniczna im. Jarosława Dąbrowskiego
Tematy:
drgania własne
płyta kołowa
niejednorodność
masa pierścieniowa
free vibrations
circular plate
non-homogeneous
annular mass
Opis:
W pracy wykorzystano funkcję wpływu i metodę dyskretyzacji częściowej do analizy drgań własnych trojwarstwowej płyty kołowej typu ,,sandwich”, o stałej grubości i utwierdzonej na obwodzie. Wyznaczono sztywność zastępczą płyty oraz dokonano dyskretyzacji jej masy uwzględniając niejednorodność materiału. Konstruując macierz wpływu oraz wykorzystując wzory Bernsteina-Kieropiana, obliczono dokładne i przybliżone estymatory częstości drgań własnych płyty. W pracy zbadano wpływ pierścieniowej masy skupionej i symetrycznej niejednorodności materiału płyty na jej częstości drgań własnych.
In the paper, influence function and method of partial discretization in free vibration analysis of non-homogeneous circular plate with constant thickness and clamped edges were presented. Discretization of mass of circular plate and calculation of replacing stiffness were achieved. Influence matrix and Bernstein-Kieropian’s estimators were calculated. The influence of additional annular mass and non-homogeneous material on a value of natural basic frequency of a sandwich circular plate was also presented.
Źródło:
Biuletyn Wojskowej Akademii Technicznej; 2013, 62, 3; 145-156
1234-5865
Pojawia się w:
Biuletyn Wojskowej Akademii Technicznej
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
M/G→ /n/0 Erlang queueing system with heterogeneous servers and non-homogeneous customers
Autorzy:
Ziółkowski, M.
Powiązania:
https://bibliotekanauki.pl/articles/199840.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
multi-server queueing systems
queueing systems with non-homogeneous customers
queueing systems with heterogeneous servers
total volume distribution
Laplace–Stieltjes transform
system kolejkowania
transformata Laplace'a-Stieltjesa
dystrybucja
Opis:
In the present paper, we investigate a multi-server queueing system with heterogeneous servers, unlimited memory space, and non-homogeneous customers. The arriving customers appear according to a stationary Poisson process. Service time distribution functions may be different for every server. Customers are additionally characterized by some random volume. On every server, the service time of the customer depends on their volume. The number of customers distribution function is obtained in the classical model of the system. In the model with non-homogeneous customers, the stationary total volume distribution function is determined in the term of Laplace–Stieltjes transform. The stationary first and second moments of a total customers volume are calculated. An analysis of some special cases of the model and some numerical examples are also included.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 1; 59-66
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
M/M/n/(m,V) queueing systems with a rejection mechanism based on AQM
Autorzy:
Ziółkowski, M.
Małek, J.
Powiązania:
https://bibliotekanauki.pl/articles/122605.pdf
Data publikacji:
2013
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Markovian process
queueing systems with non-homogeneous customers
active queue management introduction
Opis:
M/M/n/(m,V) queueing systems with service time independent of customer volume are well known models used in computer science. In real computer systems (computer networks etc.) we often deal with the overload problem. In computer networks we solve the problem using AQM techniques, which are connected with introducing some accepting function that lets us reject in random way some part of the arriving customers. It causes reduction of each customer's mean waiting time and let us avoid jams in consequence. Unfortunately, in this way the loss probability increases. In this paper we investigate the analogous model based on some generalization of M/M/n/(m,V) queueing system. We obtain formulas for a stationary number of customers distribution function and loss probability and we do some computations in special cases.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 1; 121-130
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solutions of recurrence and summation equations and their applications in slide bearing wear calculations
Autorzy:
Wierzcholski, K.
Powiązania:
https://bibliotekanauki.pl/articles/246728.pdf
Data publikacji:
2012
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
wear prognosis
HDD micro-bearings
recurrence non-homogeneous equation
Opis:
The investigations under the paper include a derivation of a non-homogenous recurrence equation of the second and higher orders with variable coefficients, whose particular solutions, with the boundary conditions set and obtained from experimental measurements, will be the sequences of the wear value of the bearing in the successive years of operation. Owing to these investigations, it will be possible to predict for example the wear values of slide bearings. Moreover, this paper presents the some particular applications of recurrence equations with regard to the calculation prognosis of micro-bearing parameters such as friction forces, friction coefficients and wear. Recurrence equations are presented in a form of difference equations where the unknown functions occur as the main terms of the sequence of inquired values. In this paper, the properties of the particular values of recurrence equations are defined. Possibility of modulation and control of mentioned problem belong to the artificial intelligence of HDD microbearing. Presented problem describes not continuous relations hence determines the mathematical and numerical solutions in discrete spaces. Properly in the case of continuous functions, the mentioned recurrence equations have the same meaning as differential equations. Recurrent equations for discrete function correspond to differential equations for the continuous function. In final conclusions, the application of presented theory in this paper contains the numerical solutions referring the wear values of HDD bearing system in the indicated period of operating time.
Źródło:
Journal of KONES; 2012, 19, 2; 543-550
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Performance evaluation of unreliable system with infinite number of servers
Autorzy:
Tikhonenko, O.
Ziółkowski, M.
Powiązania:
https://bibliotekanauki.pl/articles/201519.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
queueing systems with non-homogeneous customers
unreliable queueing systems
total volume
loss probability
Laplace–Stieltjes transform
Opis:
In the paper, we investigate queueing system M/G/∞ with non-homogeneous customers. By non-homogeneity we mean that each customer is characterized by some arbitrarily distributed random volume. The arriving customers appear according to a stationary Poisson process. Service time of a customer is proportional to his its volume. The system is unreliable, which means that all its servers can break simultaneously and then the repair period goes on for random time having an arbitrary distribution. During this period, customers present in the system and arriving to it are not served. Their service continues immediately after repair period termination. Time intervals of the system in good repair mode have an exponential distribution. For such system, we determine steady-state sojourn time and total volume of customers present in it distributions. We also estimate the loss probability for the similar system with limited total volume. An analysis of some special cases and some numerical examples are attached as well.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 2; 289-297
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Single-server queueing system with external and internal customers
Autorzy:
Tikhonenko, O.
Ziółkowski, M.
Powiązania:
https://bibliotekanauki.pl/articles/199838.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
single-server queueing system with non-homogeneous customers
random volume customers
loss probability
total volume distribution
Laplace transform
Laplace-Stieltjes transform
RAM memory space
prawdopodobieństwo straty
transformacja Laplace'a
transformata Laplace'a-Stieltjesa
pamięć RAM
Opis:
In the paper, we investigate a single-server queueing system with unlimited memory space and non-homogeneous customers (calls) of the two following types: 1) external customers that are served by the system under consideration, 2) internal customers that arrive and interrupt the service process only when an external customer is being served. The external customers appear according to a stationary Poisson process. Customers of each of the above-mentioned types are characterized by some random volume. The customer service time depends arbitrarily on its volume. Two schemes of customer service organization are analyzed. The non-stationary and stationary distributions of the total volume of customers present in the system are determined in terms of Laplace and Laplace-Stieltjes transforms. The stationary first and second moments of total customers volume are also calculated. The obtained results are used to approximate loss characteristics in analogous systems with limited buffer space. Numerical examples illustrating theoretical results are attached as well.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 4; 539-551
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Thermal creep stress and strain analysis in a non-homogeneous spherical shell
Autorzy:
Thakur, P.
Singh, S. B.
Pathania, D. S.
Verma, G.
Powiązania:
https://bibliotekanauki.pl/articles/949332.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
stress
strain rates
thermal
spherical shell
non-homogeneous
Opis:
The purpose of this paper is to present study of thermal creep stress and strain rates in a non-homogeneous spherical shell by using Seth’s transition theory. Seth’s transition theory is applied to the problem of creep stresses and strain rates in the non-homogeneous spherical shell under steady-state temperature. Neither the yield criterion nor the associated flow rule is assumed here. With the introduction of thermal effect, values of circumferential stress decrease at the external surface as well as internal surface of the spherical shell. It means that the temperature dependent materials minimize the possibility of fracture at the internal surface of the spherical shell. The model proposed in this paper is used commonly as a design of chemical and oil plants, industrial gases and stream turbines, high speed structures involving aerodynamic heating.
Źródło:
Journal of Theoretical and Applied Mechanics; 2017, 55, 4; 1155-1165
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An Investigation of the MIMO Space Time Block Code Based Selective Decode and Forward Relaying Network over η–µ Fading Channel Conditions
Autorzy:
Shankar, Ravi
Raman, V. V. Raghava
Rane, Kantilal Pitamber
Sarojini, B. K.
Neware, Rahul
Powiązania:
https://bibliotekanauki.pl/articles/2058506.pdf
Data publikacji:
2022
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
5G
MIMO
MRC
non-homogeneous fading channel
PEP
S-DF
SNR
Opis:
In this paper, we examine the end-to-end average pairwise error probability (PEP) and output probability (OP) performance of the maximum ratio combining (MRC) based selective decode and forward (S-DF) system over an η–µ scattering environment considering additive white Gaussian noise (AWGN). The probability distribution function (PDF) and cumulative distribution function (CDF) expressions have been derived for the received signal-to-noise (SNR) ratio and the moment generating function (MGF) technique is used to derive the novel closed-form (CF) average PEP and OP expressions. The analytical results have been further simplified and are presented in terms of the Lauricella function for coherent complex modulation schemes. The asymptotic PEP expressions are also derived in terms of the Lauricella function, and a convex optimization (CO) framework has been developed for obtaining optimal power allocation (OPA) factors. Through simulations, it is also proven that, depending on the number of multi-path clusters and the modulation scheme used, the optimized power allocation system was essentially independent of the power relation scattered waves from the source node (SN) to the destination node (DN). The graphs show that asymptotic and accurate formulations are closely matched for moderate and high SNR regimes. PEP performance significantly improves with an increase in the value of η for a fixed value of µ. The analytical and simulation curves are in close agreement for medium-to-high SNR values.
Źródło:
Journal of Telecommunications and Information Technology; 2022, 1; 79--92
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mathematical modeling of torsional surface wave propagation in a non-homogeneous transverse isotropic elastic solid semi-infinite medium under a layer
Autorzy:
Sethi, M.
Sharma, A.
Vasishth, A.
Powiązania:
https://bibliotekanauki.pl/articles/265089.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
non-homogeneous media
torsional surface waves
rigidity
fala powierzchniowa
propagacja fal
modelowanie matematyczne
Opis:
The present paper deals with the mathematical modeling of the propagation of torsional surface waves in a non-homogeneous transverse isotropic elastic half-space under a rigid layer. Both rigidities and density of the half-space are assumed to vary inversely linearly with depth. Separation of variable method has been used to get the analytical solutions for the dispersion equation of the torsional surface waves. Also, the effects of nonhomogeneities on the phase velocity of torsional surface waves have been shown graphically. Also, dispersion equations have been derived for some particular cases, which are in complete agreement with some classical results.
Źródło:
International Journal of Applied Mechanics and Engineering; 2017, 22, 2; 415-426
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Propagation of torsional surface waves in a nonhomogeneous half-space with circular irregularity in free surface
Autorzy:
Sethi, M.
Sharma, A. K.
Sharma, A.
Powiązania:
https://bibliotekanauki.pl/articles/266151.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
propagacja fal
dyspersja
prędkość fali
non-homogeneous media
torsional waves
rigidity
irregularity
Opis:
The present paper studies the effect of circular regularity on propagation of torsional surface waves in an elastic non-homogeneous half-space. Both rigidity and density of the half-space are assumed to vary inversely linearly with depth. Separation of variable method has been used to get the analytical solutions for the dispersion equation of the torsional surface waves. Also, the effects of non-homogeneity and irregularity on the phase velocity of torsional surface waves have shown graphically.
Źródło:
International Journal of Applied Mechanics and Engineering; 2018, 23, 4; 929-939
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Energy Method for Elastic Problems With Non-Homogeneous Boundary Conditions
Autorzy:
Quintanilla, R.
Powiązania:
https://bibliotekanauki.pl/articles/907887.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
weighted energy method
decay estimates
Navier equations
non-homogeneous boundary conditions
Opis:
In this paper we propose the weighted energy method as a way to study estimates of solutions of boundary-value problems with non-homogeneous boundary conditions in elasticity. First, we use this method to study spatial decay estimates in two-dimensional elasticity when we consider non-homogeneous boundary conditions on the boundary. Some comments in the case of harmonic vibrations are considered as well. We also extend the arguments to a class of three-dimensional problems in a cylinder. A section is devoted to the study of an ill-posed problem. Some remarks are presented in the last section of the paper.In this paper we propose the weighted energy method as a way to study estimates of solutions of boundary-value problems with non-homogeneous boundary conditions in elasticity. First, we use this method to study spatial decay estimates in two-dimensional elasticity when we consider non-homogeneous boundary conditions on the boundary. Some comments in the case of harmonic vibrations are considered as well. We also extend the arguments to a class of three-dimensional problems in a cylinder. A section is devoted to the study of an ill-posed problem. Some remarks are presented in the last section of the paper.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 91-100
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modeling of software fault detection and correction processes with fault dependency
Modelowanie procesów wykrywania i korekcji błędów oprogramowania z założeniem wzajemnej zależności błędów
Autorzy:
Peng, R.
Zhai, Q.
Powiązania:
https://bibliotekanauki.pl/articles/301155.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Polskie Naukowo-Techniczne Towarzystwo Eksploatacyjne PAN
Tematy:
zależność błędów
niejednorodny proces Poissona
model wzrostu niezawodności oprogramowania
procesy detekcji i korekcji błędów oprogramowania
fault dependency
non-homogeneous Poisson process (NHPP)
software reliability growth model (SRGM)
software fault detection and correction processes
Opis:
Software reliability modeling has undergone a continuous evolution over the past three decades to adapt to various and everchanging software testing environments. In existing models, immediate fault removal and fault independency are two basic and commonly used assumptions. Recently, models combining fault detection process (FDP) and fault correction process (FCP) were proposed to alleviate the immediate fault removal assumption. In this paper, we extend such a methodology by proposing a modeling framework for the FDP and FCP incorporating fault dependency. Faults are classified as leading faults and dependent faults and the FCPs for both types of faults are explicitly modeled. Several paired models considering different assumptions for debugging lags are proposed for the combined FDP and FCP. The applicability of the proposed models are illustrated using real testing data. In addition, the optimal software release policy under this framework is studied.
Modelowanie niezawodności oprogramowania w ciągu ostatnich trzech dekad ulegało ciągłej ewolucji, pozwalającej dostosować je do różnych, stale zmieniających się środowisk testowych. W przypadku istniejących modeli, dwoma podstawowymi i powszechnie stosowanymi założeniami jest natychmiastowe usunięcie błędu oraz brak zależności między błędami. Ostatnio, badacze zaproponowali modele, które łagodzą pierwsze z tych założeń, łącząc proces wykrywania błędów (FDP) z procesem ich korekcji (FCP). W niniejszym artykule, rozszerzono tę metodologię, proponując paradygmat modelowania dla zintegrowanych procesów FDP i FCP uwzględniający zależności między błędami. W paradygmacie tym, błędy klasyfikuje się jako błędy nadrzędne i błędy zależne, a procesy FCP dla obu typów błędów są modelowane oddzielnie. Zaproponowano kilka połączonych w pary modeli rozważających różne założenia dotyczące opóźnień debugowania w procesach łączących detekcję i korekcję błędów. Możliwość zastosowania proponowanych modeli przedstawiono na przykładzie rzeczywistych danych testowych. Dodatkowo badano optymalną politykę aktualizacji oprogramowania, jaką można prowadzić w ramach proponowanego paradygmatu.
Źródło:
Eksploatacja i Niezawodność; 2017, 19, 3; 467-475
1507-2711
Pojawia się w:
Eksploatacja i Niezawodność
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Estimation of energy storage rate during macroscopic non-homogeneous plastic deformation of polycrystalline materials
Oszacowanie zdolności magazynowania energii podczas makroskopowo niejednorodnrj deformacji plastycznej w polikryształach
Autorzy:
Oliferuk, W.
Korbel, A.
Bochniak, W.
Powiązania:
https://bibliotekanauki.pl/articles/281870.pdf
Data publikacji:
2004
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
energy storage rate
non-homogeneous deformation
energy relase
Opis:
The experimental method of estimation of the energy storage rate .../... in the stage of macroscopic non-homogeneous plastic deformation is presented (is the stored energy and ... is the energy expended in the plastic deformation). A non-uniform temperature distribution on the surface of the loaded sample as an experimental indicator of the macroscopic non-homogeneous plastic deformation is used. It is shown that during the development of strain localization, a part of the energy stored in the deformed material during previous deformation is relased in the form of heat.
Przedstawiono metodę szacowania zdolności magazynowania energii .../... w zakresie makroskopowo niejednorodnej deformacji plastycznej (... - energia zmagazynowana, ... - energia zużyta podczas deformacji plastycznej). Jako wskaźnik niejednorodnej deformacji przyjęto nierównomierny rozkład temperatury na powierzchni deformowanej próbki. Pokazano, że w końcowej fazie niejednorodnej deformacji, podczas rozwoju makroskopowej lokalizacji odkształcenia część energii zmagazynowanej we wcześniejszym etapie deformacji wydziela się w postaci ciepła.
Źródło:
Journal of Theoretical and Applied Mechanics; 2004, 42, 4; 817-826
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Investigation of boundary condition effects on the stability of FGP beams in thermal environment
Autorzy:
Nasirzadeh, R.
Behjat, B.
Kharazi, M.
Khabazaghdam, A.
Powiązania:
https://bibliotekanauki.pl/articles/281316.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
FGP beam
stability
instability
buckling load
Timoshenko beam theory
non-homogeneous
homogeneous boundary conditions
Opis:
In this paper, stability and instability of Functionally Graded Piezoelectric (FGP) beams is investigated based on the Timoshenko beam theory. The material properties of the beam are considered to change gradually through thickness of the beam by a simple power law. By using the principle of minimum total potential energy, governing equations of the beam are derived. Stability behavior of the beam is predicted by solving the governing equations of the FGP beam. The results show that the homogeneity of boundary conditions plays a critical role in the stability of the FGP beam. While non-homogeneous boundary conditions lead to stable behavior of the FGP beam; homogeneous boundary conditions cause instability in the beam. By solving the eigenvalue equation of the FGP beam, the buckling load of the beam is obtained for the beams that have unstable behavior. Finally, the effects of various parameters on the buckling load of the unstable beam, such as power law index, temperature, applied voltage and aspect ratio are investigated, and the results are compared with the Euler-Bernoulli beam theory.
Źródło:
Journal of Theoretical and Applied Mechanics; 2017, 55, 3; 1003-1014
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
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