Wszystkie pola: free vibrations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Free vibrations of thin microstructured plates
Autorzy:: Jędrysiak, J.
Pazera, E.
Powiązania:: https://bibliotekanauki.pl/articles/128140.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:: thin functionally graded plates
microstructure
tolerance modelling
cienkie płyty gradientowe
mikrostruktura
modelowanie tolerancyjne
Opis:: In this paper it is presented a problem of free vibrations of thin microstructured plates, which can be treated as made of functionally graded material on the macrolevel. The size of the microstructure of the plates is of an order of the plate thickness. In order to obtain averaged governing equations of these plates the tolerance modelling technique is applied, cf. [14, 15, 7]. The derived tolerance model equations have the terms dependent of the microstructure size. Hence, the tolerance model describes the effect of the microstructure size. In order to evaluate results, the asymptotic model is introduced. Obtained results can be compared to those calculated by using the finite element method.
Źródło:: Vibrations in Physical Systems; 2014, 26; 93-98
0860-6897
Pojawia się w:: Vibrations in Physical Systems
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Free vibrations of medium thickness microstructured plates
Autorzy:: Jędrysiak, J.
Powiązania:: https://bibliotekanauki.pl/articles/128089.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:: medium thickness functionally graded plates
microstructure
tolerance modelling
płyty o funkcyjnej gradacji własności
mikrostruktura
modelowanie tolerancyjne
Opis:: A problem of free vibrations of medium thickness microstructured plates, which can be treated as made of functionally graded material on the macrolevel is presented. The size of the microstructure of these plates is of an order of the plate thickness. Averaged governing equations of these plates can be obtained using the tolerance modelling technique, cf. [18, 19, 9]. Because, the derived tolerance model equations have the terms dependent of the microstructure size, this model describes the effect of the microstructure size. Results can be evaluated introducing the asymptotic model. Calculated results can be compared to those from the finite element method or a similar tolerance model of thin plates, cf. [9].
Źródło:: Vibrations in Physical Systems; 2016, 27; 169-174
0860-6897
Pojawia się w:: Vibrations in Physical Systems
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Analysis of free vibrations of a continuous-discrete system with damping
Autorzy:: Cabański, J.
Powiązania:: https://bibliotekanauki.pl/articles/280635.pdf
Data publikacji:: 2001
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: vibrations
discrete-continuous models
damping
operator
boundary value problem
Opis:: In this paper a generalized exact method of solving the problem of beam free vibrations with a discrete rigid body attached to the beam by means of viscoelastic constraints was presented. The vibrations of such a discrete-continuous system were described by a set of coupled partial and ordinary differential equations. Separation of the variables and the obtained results of the boundary-value problem, as well as the proved generalized orthogonality of complex eigenmodes, were used to the analysis of free vibrations of the system with arbitrary initial conditions.
Analiza drań swobodnych układu ciągło-dyskretnego z tłumieniem. W pracy przedstawiono uogólnioną ścisłą metodę rozwiązania zagadnienia drgań swobodnych belki z dołączonymi do niej, za pośrednictwem lepko-sprężystych więzi, skoncentrowanymi sztywnymi ciałami. Drgania układu ciągło-dyskretnego zostały opisane układem sprzężonym, tj. jednym częastkowym i dwoma podukładami zwyczjnych równań różniczkowych. Rozdzielenie zmiennych i wyniki uzyskane z rozwiązania problemu brzegowego oraz warunek ortogonalności postaci drgań własnych wykorzystano do analizy drgań swobodnych tego układu mechanicznego przy dowolnych warunkach początkowych.
Źródło:: Journal of Theoretical and Applied Mechanics; 2001, 39, 1; 195-212
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Free vibrations of microstructured functionally graded plate band with clamped edges
Autorzy:: Kaźmierczak-Sobińska, Magda
Jędrysiak, Jarosław
Powiązania:: https://bibliotekanauki.pl/articles/2146632.pdf
Data publikacji:: 2021
Wydawca:: Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:: thin functionally graded plate band
microstructure
free vibrations
tolerance modelling
pasmo płytowe
płyty cienkie o funkcyjnej gradacji własności
mikrostruktura
drgania własne
modelowanie tolerancyjne
Opis:: In this paper there are presented free vibrations of thin functionally graded plate band. This kind of plates has tolerance-periodic microstructure on the microlevel in planes parallel to the plate midplane. Dynamic problems of plates of this kind are described by partial differential equations with highly oscillating, tolerance-periodic, non-continuous coefficients. Thus, there are proposed here two models describing these plates by equations with smooth, slowly-varying coefficients. As an example there are analyses of free vibration frequencies for thin functionally graded plate band clamped on both edges. Using the known Ritz method the frequencies are obtained in the framework of proposed two models - the tolerance model and the asymptotic model.
Źródło:: Vibrations in Physical Systems; 2021, 32, 2; art. no. 2021216
0860-6897
Pojawia się w:: Vibrations in Physical Systems
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Free vibrations analysis of shrouded bladed discs with one loose blade
Autorzy:: Rządkowski, R.
Kwapisz, L.
Drewczyński, M.
Szczepanik, R.
Rao, J.S.
Powiązania:: https://bibliotekanauki.pl/articles/1955347.pdf
Data publikacji:: 2006
Wydawca:: Politechnika Gdańska
Tematy:: blade
shrouded bladed disc
free vibration
Opis:: As a failure of rotor blades in a gas turbine was reported, the rotating-mode shapes of flexible shrouded bladed disc assemblies were calculated using a finite element approach. Rotational effects, such as centrifugal stiffening were accounted for, and all couplings between the flexible parts were allowed. The spin softening effects were neglected. A dynamic analysis of the shrouded bladed disc demonstrated that it was designed with a sufficient safety region of resonance. In case of one blade getting loose, it is vibrating in resonance.
Źródło:: TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2006, 10, 1; 83-95
1428-6394
Pojawia się w:: TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Three models of a sandwich beam: bending, buckling, and free vibrations
Autorzy:: Magnucki, Krzysztof
Magnucka-Blandzi, Ewa
Wittenbeck, Leszek
Powiązania:: https://bibliotekanauki.pl/articles/38884025.pdf
Data publikacji:: 2022
Wydawca:: Instytut Podstawowych Problemów Techniki PAN
Tematy:: shear deformation theory
deflection; critical load
fundamental natural frequency
Opis:: This paper is devoted to the analytical modelling of a sandwich beam. Three models of this beam are elaborated. Two nonlinear individual shear theories of deformation of a plane cross-sections are proposed. Based on Hamilton’s principle, two differential equations of motion for each model are obtained. The bending, buckling and free flexural vibration problems of the simply-supported sandwich beam considering these three models are studied. The results of these analytical investigations are presented in tables.
Źródło:: Engineering Transactions; 2022, 70, 2; 97-122
0867-888X
Pojawia się w:: Engineering Transactions
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Free vibrations of the column taking into account compressive and thermal load
Autorzy:: Uzny, Sebastian
Kutrowski, Łukasz
Skrzypczak, Tomasz
Powiązania:: https://bibliotekanauki.pl/articles/127746.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:: free vibrations
Euler’s load
heat source
column
drgania swobodne
obciążenie Eulera
źródło ciepła
słup
Opis:: Free vibrations of slender systems are the subject of many scientific and research works. In this work, the boundary problem of free vibrations of a compressed column, which is additionally heat loaded, is considered. The issue of heat flow in the column is solved using the Finite Element Method. Averaged distribution of material properties is obtained in individual segments of the column in subsequent heating times. The mathematical model of free vibrations takes into account the thermal expansion of the material and the effect of changing the Young's modulus resulting from the effect of heat load. The boundary problem of the free vibrations of the considered system is limited to the linear range (the linear component of natural frequency is considered). The influence of the heat source exposure time on the course of characteristic curves (on the plane: load – natural frequency) is determined. The results are presented for various column diameters.
Źródło:: Vibrations in Physical Systems; 2019, 30, 2; 1-8
0860-6897
Pojawia się w:: Vibrations in Physical Systems
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

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

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Skocz do pozycji: 9.

Tytuł:: Free vibrations of column subjected to Euler's load with consideration of Timoshenko's theory
Autorzy:: Uzny, S.
Sokół, K.
Powiązania:: https://bibliotekanauki.pl/articles/128238.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:: column
Timoshenko's theory
Bernoulli-Euler's theory
free vibrations
kinetic criterion of stability
divergence instability
characteristic curves
kolumna
teoria Timoshenki
teoria Bernoulliego-Eulera
drgania swobodne
kinetyczne kryterium stateczności
niestateczność dywergencyjna
krzywe charakterystyczne
Opis:: In this paper the single-rod cantilever column subjected to compressive Euler's load is investigated. The boundary problem has been formulated on the basis of Hamilton's principle and Timoshenko's theory. Numerical simulations of characteristic curves have been plotted on the plane external load-vibration frequency for different magnitudes of slenderness factor of the system. The results of numerical calculations of Timoshenko's beam are compared to the ones obtained from mathematical Bernoulli-Euler's model. The comparison of the results of characteristic curves calculated by means of Timoshenko's theory and Bernoulli-Euler's model are done for first three vibration frequencies.
Źródło:: Vibrations in Physical Systems; 2014, 26; 319-326
0860-6897
Pojawia się w:: Vibrations in Physical Systems
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: Free vibrations spectrum of periodically inhomogeneous Rayleigh beams using the tolerance averaging technique
Autorzy:: Świątek, Marcin
Domagalski, Łukasz
Jędrysiak, Jarosław
Powiązania:: https://bibliotekanauki.pl/articles/949167.pdf
Data publikacji:: 2019
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: periodicity cell
Rayleigh beam
tolerance averaging technique
Opis:: In this paper, linear-elastic Rayleigh beams with a periodic structure are considered. Dynamics of such beams is described by partial differential equations with non-continuous highly oscillating coefficients. The analysis of dynamic problems using the aforementioned equations is very often problematic to perform. Thus, other simplified models of Rayleigh beams are proposed. Some of these models are based on the concept of the effective stiffness. Among them, one can distinguish the theory of asymptotic homogenization. However, in these models, the size of the mesostructure parameter (the size of a periodicity cell) is often neglected. Therefore, a non-asymptotic averaged model of the periodic beam is introduced, called the tolerance model, which is derived by applying the tolerance averaging technique (TA). The obtained tolerance model equations have constant coefficients, and in contrast to other averaged models, some of them depend on the size of the periodicity cell.
Źródło:: Journal of Theoretical and Applied Mechanics; 2019, 57, 1; 141-154
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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