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Wyświetlanie 1-15 z 17
Tytuł:
Frequency analysis of a double-walled nanotubes system
Autorzy:
Ciekot, A.
Kukla, S.
Powiązania:
https://bibliotekanauki.pl/articles/122756.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
nanotubes system
free vibration
Green's functions
drgania swobodne
funkcja Greena
Opis:
In the present paper, a problem of free vibration of a double-walled nanotubes system is considered. The nanotubes of the system are coupled by an arbitrary number of elastic rings. The Green’s functions method was used to obtain a solution to the problem. Numerical results are presented graphically.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 27-34
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Free vibration to a system of cantilever nanobeams
Autorzy:
Ciekot, A.
Kukla, S.
Powiązania:
https://bibliotekanauki.pl/articles/122838.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
cantilever nanobeams
free vibration
Green's function method
drgania swobodne
metoda funkcji Greena
Opis:
This paper presents a solution to the free vibration problem of a system of two cantilever nanobeams. The nanobeams of the system are axially loaded and coupled by discrete translational springs. The solution of the problem by using the Green’s function method has been obtained. A numerical example shows the effect of the small scale on free vibration frequencies of the nanobeam system considered.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 3; 29-36
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Frequency analysis of a double-nanobeam system
Autorzy:
Ciekot, A.
Kukla, S.
Powiązania:
https://bibliotekanauki.pl/articles/122395.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
nanobeam system
free vibration
Green's functions
drgania swobodne
funkcja Greena
wyniki obliczeń numerycznych
Opis:
In this paper, a problem of transverse free vibration of a double-nanobeam-system is considered. The nanobeams of the system are coupled by an arbitrary number of translational springs. The solution of the problem by using the Green’s functions properties is obtained. A numerical example is presented.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 1; 23-31
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Study on harmonic analysis of functionally graded plates using FEM
Autorzy:
Sharma, A. K.
Sharma, P.
Chauhan, P. S.
Bhadoria, S. S.
Powiązania:
https://bibliotekanauki.pl/articles/265506.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
metoda elementów skończonych
drgania swobodne
amplituda drgań
finite element method
functionally graded plate
free vibration
Opis:
This paper presents the harmonic and vibration analysis of functionally graded plates using the finite element method. Initially, the plates are assumed isotropic and the material properties of it are assumed to vary continuously through their thickness direction according to a power-law distribution of the volume fractions of the plate constituents. The four noded shell element is used to analyse the functionally graded plates. Four functionally graded plates-Al/Al2O3, Al/ZrO2, Ti–6Al–4V/Aluminium oxide, and SUS304/Si3N4 are considered in the study, and their results are obtained so that the right choice can be made in applications in high temperature environment and in reducing the vibration amplitudes in applications such as aircrafts, rockets, missiles, etc. Numerical results for the natural frequency and harmonic response amplitude are presented. Results are compared and validated with available results in the literature. Effects of boundary conditions, material and damping on natural frequency and harmonic response of the functionally graded plates are also investigated.
Źródło:
International Journal of Applied Mechanics and Engineering; 2018, 23, 4; 941-961
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytical and numerical free vibration analysis of porous functionally graded materials (FGPMs) sandwich plate using Rayleigh-Ritz method
Autorzy:
Njim, E.K.
Bakhy, S.H.
Al-Waily, M.
Powiązania:
https://bibliotekanauki.pl/articles/2175769.pdf
Data publikacji:
2021
Wydawca:
Stowarzyszenie Komputerowej Nauki o Materiałach i Inżynierii Powierzchni w Gliwicach
Tematy:
FGM sandwich plate
porosity parameter
CPT
free vibration
FEA
płyta warstwowa FGM
parametr porowatości
drgania swobodne
Opis:
Purpose: This study introduces a new approximated analytical solution of the free vibration analysis to evaluate the natural frequencies of functionally graded rectangular sandwich plates with porosities. Design/methodology/approach: The kinematic relations are developed based on the classical plate theory (CPT), and the governing differential equation is derived by employing the Rayleigh-Ritz approximate method. The FGM plate is assumed made of an isotropic material that has an even distribution of porosities. The materials properties varying smoothly in the thickness direction only according to the power-law scheme. Findings: The influences of changing the gradient index, porosity distribution, boundary conditions, and geometrical properties on the free vibration characteristics of functionally graded sandwich plates are analysed. Research limitations/implications: A detailed numerical investigation is carried out using the finite element method with the help of ANSYS 2020 R2 software to validate the results of the proposed analytical solution. Originality/value: The results with different boundary conditions show the influence of porosity distribution on the free vibration characteristics of FG sandwich plates. The results indicated a good agreement between the approximated method such as the Rayleigh-Ritz and the finite element method with an error percentage of no more than 5%.
Źródło:
Archives of Materials Science and Engineering; 2021, 110, 1; 27--41
1897-2764
Pojawia się w:
Archives of Materials Science and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effects of non-classical boundary conditions on the free vibration response of a cantilever Euler-Bernoulli beams
Autorzy:
Afras, Abderrachid
El Ghoulbzouri, Abdelouafi
Powiązania:
https://bibliotekanauki.pl/articles/2174479.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Polskie Towarzystwo Diagnostyki Technicznej PAN
Tematy:
free vibration
natural frequency
boundary conditions
DTM
non-dimensional stiffness
drgania swobodne
częstotliwość drgań
warunki brzegowe
Opis:
In this article, the problem of the free vibration behavior of a cantilever Euler-Bernoulli beam with various non-classical boundary conditions, such as rotational, translational spring, and attached mass is investigated. For describing the differential equation of the system. An analytical procedure is proposed firstly, and a numerical method based on the differential transform method DTM is developed in order to validate the obtained results. A parametric study for various degenerate cases is presented with the aim to analyze the influence of rotational stiffness, vertical stiffness, and mass ratio on the free vibration response of the beam, particularly on its modal characteristics. The results show that the non-classical boundary conditions significantly affect the natural frequency and mode shapes of the studied beam system in comparison to the case of a classical boundary conditions such as Simply supported, clamped-clamped, etc. The comparison between the obtained results based on the proposed analytical solution and numerical scheme, and those available in the literature shows an excellent agreement.
Źródło:
Diagnostyka; 2023, 24, 1; art. no. 2023107
1641-6414
2449-5220
Pojawia się w:
Diagnostyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effect of crack parameters on free vibrations of the Bernoulli-Euler beam
Autorzy:
Zamorska, I.
Cekus, D.
Miara, M.
Powiązania:
https://bibliotekanauki.pl/articles/122802.pdf
Data publikacji:
2015
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Bernoulli-Euler beam
crack
free vibration
mathematical modelling
CATIA
belka Bernoulliego-Eulera
pęknięcie
drgania swobodne
modelowanie matematyczne
Opis:
The paper presents the problem of free vibration of the cantilever Bernoulli-Euler beam with a crack. The beam along the length has a variable cross-sectional area, and the crack parameters (thickness, depth and location) undergo changes. The work includes an analytical solution of the vibration problem and the results obtained with the use of FEM and CATIA program.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 4; 167-174
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ocena przydatności różnych gatunków drewna do budowy konstrukcji
The assessment of usability of various types of wood in construction
Autorzy:
Misztal, B.
Powiązania:
https://bibliotekanauki.pl/articles/293841.pdf
Data publikacji:
2015
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
moduł sprężystości podłużnej
drgania swobodne
tłumienie drgań swobodnych
modulus of longitudinal elasticity
free vibration
damping of free vibration
Opis:
W artykule opisano badania dynamiczne modeli z drewna sosnowego, świerkowego, modrzewiowego i dębowego. Przeprowadzono je w celu poznania właściwości modeli z różnych gatunków drewna na podstawie danych uzyskanych z badań drgań swobodnych elementów. Zbadano modele powietrznosuche i po 24-godzinnym moczeniu w wodzie. Przebieg drgań każdego z modeli zilustrowano na wykresie. Pokazano metodę szacowania efektywnej sztywności i modułu sprężystości podłużnej E różnych gatunków drewna. Celem badań było określenie, jak zmienia się efektywny moduł sprężystości drewna na skutek zawilgocenia.
The paper describes the dynamic testing of models made of pine, spruce, larch and oak wood. The testing was conducted in order to learn the properties of planks on the basis of data obtained from the testing of free elements’ vibration. Planks dried in air and after a 24 hours’ soaking in water were tested. The course of the vibration of each of the models was illustrated on a graph. The calculations of the determination of elements’ stiffness, and of the modulus of direct elasticity E for various wood species were shown. The aim of the testing was to determine how the modulus of elasticity varies due to wetting.
Źródło:
Architectus; 2015, 3(43); 105-109
1429-7507
2084-5227
Pojawia się w:
Architectus
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simplified approach of free vibration analysis of plates supported in vicinity of the corners by BEM
Autorzy:
Guminiak, M.
Powiązania:
https://bibliotekanauki.pl/articles/122589.pdf
Data publikacji:
2013
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
free vibration
Kirchhoff plates
boundary element method
linear theory
thin plates
drgania swobodne
metoda elementów brzegowych
teoria liniowa
Opis:
Free vibration analysis of Kirchhoff plate by the Boundary Element Method is presented in the paper. The boundary integral equation are derived according to the Bettie theorem. The collocation version of BEM with non-singular approach with one and double collocation points is used. The constant type of element is introduced. Boundary suport at selected point is modelled as support in vicinity of point along single boundary element.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 1; 45-54
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Free vibration of the Timoshenko beam interacting with the Winkler foundation
Autorzy:
Noga, S.
Bogacz, R.
Powiązania:
https://bibliotekanauki.pl/articles/403995.pdf
Data publikacji:
2011
Wydawca:
Polskie Towarzystwo Symulacji Komputerowej
Tematy:
free vibration
Timoshenko beam
Winkler foundation
finite element model
drgania swobodne
belka Timoshenki
podłoże typu Winklera
model MES
Opis:
In the study a free transverse vibration analysis of the simply supported Timoshenko beam on an arbitrary variable Winkler foundation is presented. The analysis is based on the use of the analytical method compared with numerical simulation. The elastic foundation is composed of two arbitrary variable, massless, regions of the Winkler type. At first the general solution of free vibration is derived by the separation of variable method. The natural frequencies of the system under consideration are determined. Then the models of the system formulated by using finite element technique are prepared and eigenvalue problem is solved. Achieved results of calculation are discussed and compared for these models. All needed finite element models are formulated by using ANSYS FE code. It is important to note that the data presented in the article is yielded the practical advice to design engineers.
Źródło:
Symulacja w Badaniach i Rozwoju; 2011, 2, 4; 209-223
2081-6154
Pojawia się w:
Symulacja w Badaniach i Rozwoju
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Free vibration analysis of multi-span orthotropic bridge deck with rubber bearings
Autorzy:
Farah, Imed
Rezaiguia, Abdelouahab
Mouassa, Ahcene
Debra, Laefer
Guenfoud, Salah
Powiązania:
https://bibliotekanauki.pl/articles/1840891.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Polskie Towarzystwo Diagnostyki Technicznej PAN
Tematy:
free vibration
multi-span orthotropic bridge deck
rubber bearings
elastic support
intermodal coupling
drgania swobodne
przenoszenie drgań
pomost ortotropowy
łożysko gumowe
Opis:
In this paper, a semi-analytical approach is proposed for free vibration analysis of a multi-span, orthotropic bridge deck with rubber bearings. This allows more realistic modeling of vibration transmission from a bridge’s deck to its supports. The approach is based on modal superposition incorporating intermodal coupling. The bridge deck was modeled as a continuous, multi-span, orthotropic rectangular plate with equivalent rigidities. The rubber bearings were inserted between the girders and rigid supports to absorb traffic induced vibrations. The rubber bearing was modeled by linear elastic, vertical supports as very flexible in rotation and highly rigid in the vertical direction. The method’s efficacy was validated against two numerical examples. The absolute error was less than 10%.
Źródło:
Diagnostyka; 2021, 22, 1; 11-21
1641-6414
2449-5220
Pojawia się w:
Diagnostyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Transverse vibration analysis of nonlocal beams with various slenderness ratios, undergoing thermal stress
Autorzy:
Babaei, Alireza
Rahmani, Arash
Ahmadi, Isa
Powiązania:
https://bibliotekanauki.pl/articles/139619.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
small-sized beam
nonlocal theory
temperature dependent properties
free vibration
lateral vibration
belka o małych rozmiarach
teoria nielokalna
właściwości zależne od temperatury
drgania swobodne
drgania boczne
Opis:
In this paper, thermally-excited, lateral free vibration analysis of a small-sized Euler-Bernoulli beam is studied based on the nonlocal theory. Nonlocal effect is exerted into analysis utilizing differential constitutive model of Eringen. This model is suitable for design of sensors and actuators in dimensions of micron and submicron. Sudden temperature rise conducted through the thickness direction of the beam causes thermal stresses and makes thermo-mechanical properties to vary. This temperature field is supposed to be constant in the lateral direction. Temperatures of the top and bottom surfaces of the system are considered to be equal to each other. Governing equation of motion is derived using Hamilton’s principle. Numerical analysis of the system is performed by Galerkin’s approach. For verification of the present results, comparison between the obtained results and those of benchmark is reported. Numerical results demonstrate that dynamic behavior of small-sized system is been effected by temperature shift, nonlocal parameter, and slenderness ratio. As a result, taking the mentioned parameters into account leads to better and more reliable design in miniaturized-based industries.
Źródło:
Archive of Mechanical Engineering; 2019, LXVI, 1; 5-24
0004-0738
Pojawia się w:
Archive of Mechanical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Axisymmetric free vibration of layered cylindrical shell filled with fluid
Autorzy:
Izyan, M. D. Nurul
Sabri, Nur Ain Ayunni
Hafizah, A. K. Nor
Sankar, D. S.
Viswanathan, K. K.
Powiązania:
https://bibliotekanauki.pl/articles/2106463.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
drgania swobodne
powłoka cylindryczna
efekt Love'a
axisymmetric
free vibration
cylindrical shell
Love’s first approximation theory
inviscid fluid
spline approximation
eigenvalues
Opis:
The aim of the study is to analyse the axisymmetric free vibration of layered cylindrical shells filled with a quiescent fluid. The fluid is assumed to be incompressible and inviscid. The equations of axisymmetric vibrations of layered cylindrical shell filled with fluid, on the longitudinal and transverse displacement components are obtained using Love’s first approximation theory. The solutions of displacement functions are assumed in a separable form to obtain a system of coupled differential equations in terms of displacement functions. The displacement functions are approximated by Bickley-type splines. A generalized eigenvalue problem is obtained and solved numerically for a frequency parameter and an associated eigenvector of spline coefficients. Two layered shells with three different types of materials under clamped-clamped boundary conditions are considered. Parametric studies are made on the variation of the frequency parameter with respect to length-to-radius ratio and length-to-thickness ratio.
Źródło:
International Journal of Applied Mechanics and Engineering; 2021, 26, 4; 63--76
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Influence of Cast Iron Modification on Free Vibration Frequency of Casting
Autorzy:
Konopka, Z.
Łągiewka, M.
Zyska, A.
Powiązania:
https://bibliotekanauki.pl/articles/383158.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
gray cast iron
modification process
free vibration
casting
vibration frequency of casting
żeliwo szare
proces modyfikacji
drgania swobodne
odlewy
częstotliwość drgań odlewu
Opis:
The paper presents the results of investigations concerning the influence of gray cast iron modification on free vibration frequency of the disc casting. Three different chemical composition melts of gray cast iron were prepared in induction furnace. During gravity casting 0.05% and 0.3% mass of the Inolate modifier was added on stream of metal for changing graphite flakes in castings. Sound signal vibration of cast iron sample was registered by means on microphone for free vibration frequency measurements. Decreasing of free vibration frequency of modified cast iron in comparison with non modified castings was observed. Higher contents of modifier causes more decreasing of free vibration frequency. Cast iron with smaller contents of carbon and silicon have higher free vibration frequency in comparison with eutectic composition cast iron. Hardness of examined cast iron is lower when the more modifier is added during modification process. Free frequency is smaller with smaller Brinell hardness of disc casting. It was concluded that control of free vibration frequency of disc castings by means of chemical composition and modification process can improved comfort and safety of working parts.
Źródło:
Archives of Foundry Engineering; 2020, 20, 1; 23-26
1897-3310
2299-2944
Pojawia się w:
Archives of Foundry Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Damage identification of a beam with a variable cross-sectional area
Autorzy:
Cekus, D.
Miara, M.
Zamorska, I.
Powiązania:
https://bibliotekanauki.pl/articles/122916.pdf
Data publikacji:
2016
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Bernoulli-Euler beam
crack
damage
free vibration
Green's functions
identification
vibration method
teoria Bernoulliego-Eulera
belka wspornikowa
funkcja Greena
pęknięcie
drgania swobodne
Opis:
In the paper, the process of identification of crack parameters occurring in the cantilever beam with the variable cross-sectional area has been presented. For identification, the non-destructive vibration method has been applied. The analytical solution of the free vibration problem of the beam described according to the Bernoulli-Euler theory has been obtained with the help of Green’s functions.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 23-32
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 17

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