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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
Artykuł
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
Artykuł
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
Artykuł
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
Artykuł
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
Artykuł
Tytuł:
Free vibrations of column built out pipe and rod with two-parametric elastic connector
Autorzy:
Uzny, S.
Powiązania:
https://bibliotekanauki.pl/articles/127780.pdf
Data publikacji:
2014
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
column
free vibrations
elastic connector
kolumna
drgania swobodne
łącznik elastyczny
Opis:
In this paper the geometrically nonlinear system subjected to compressive external Euler's load has been investigated. The column is composed of pipe and rod. The rod is concentrically installed in the pipe. Between pipe and rod at given distance from the end of the column the two-parametric elastic connector has been placed. The numerical calculations were performed for different parameters of the system on the basis of free vibration boundary problem. The parameters are as follows: spring stiffness (translational and rotational) which models elastic connector, coefficient of asymmetry flexural rigidity, location of the connector.
Źródło:
Vibrations in Physical Systems; 2014, 26; 311-318
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Free vibrations of the partially tensioned geometrically non-linear system subjected to Euler’s load
Autorzy:
Uzny, S.
Sokół, K.
Osadnik, M.
Powiązania:
https://bibliotekanauki.pl/articles/127651.pdf
Data publikacji:
2016
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
column
Bernoulli-Euler's theory
free vibration frequency
nonlinear system
characteristic curves
amplitude of vibration
nonlinear component of free vibrations frequency
kolumna
teoria Eulera-Bernoulliego
częstotliwość drgań własnych
układ nieliniowy
krzywe charakterystyczne
amplituda drgań
nieliniowa składowa częstości drgań własnych
Opis:
In this study the fixed-fixed column subjected to axial Euler’s load has been investigated. The load is placed between the fixed ends of the structure and its location can be changed along column’s length. The boundary problem of free vibrations of the mentioned system has been formulated on the basis of Bernoulli – Euler theory and taking into account non-linear axial deformation relationship. Due to non-linear expressions the solution of the problem was done with small parameter method. In the paper the change of the first vibration frequency in relation to location and magnitude of the loading force was obtained. The relationship between natural vibration frequency and the amplitude is also discussed.
Źródło:
Vibrations in Physical Systems; 2016, 27; 399-406
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Free vibrations of iso- and orthotropic plates considering plate variable thickness and interaction with water
Autorzy:
Lenartowicz, Agnieszka
Guminiak, Michał
Powiązania:
https://bibliotekanauki.pl/articles/2146567.pdf
Data publikacji:
2020
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
thin plates
vibrations
Finite Element Method
Finite Difference Method
adjoined mass
cienkie płyty
drgania
metoda elementów skończonych
metoda różnic skończonych
masa dołączona
Opis:
The natural vibrations of thin (Kirchhoff-Love) plates with constant and variable thickness are considered in the paper. Isotropic and orthotropic rectangular plates with different boundary conditions are analysed. The Finite Element Method and the Finite Difference Method are used to describe structural deformation. The elements of stiffness matrix are derived numerically using author’s approaches of localization of integration points. The plate inertia forces are expressed by diagonal, lumped mass matrix or consistent mass matrix. The presence of the external medium, which can be a fluid, is described by the fluid velocity potential of double layer and the fundamental solution of Laplace equation which leads to the fully-populated mass matrix. The influence of external additional liquid mass on natural frequencies of plate is analysed, too.
Źródło:
Vibrations in Physical Systems; 2020, 31, 2; art. no. 2020216
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Free vibrations of Kirchhoff plates considering plate variable thickness and interaction with water including water boundaries
Autorzy:
Lenartowicz, Agnieszka
Guminiak, Michał
Przychodzki, Maciej
Powiązania:
https://bibliotekanauki.pl/articles/2146626.pdf
Data publikacji:
2021
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
thin plates
natural vibrations
Finite Element Method
FEM
Finite Difference Method
FDM
Boundary Element Method
BEM
adjoined mass
fluid-structure interaction
cienkie płyty
drgania własne
metoda elementów skończonych
metoda różnic skończonych
metoda elementów granicznych
masa dołączona
interakcja płyn-struktura
Opis:
The natural vibrations of thin (Kirchhoff-Love) plates with constant and variable thickness and interaction with water are considered in the paper. The influence of the water free surface on natural frequencies of the coupled water-plate system is analysed too. The Finite Element Method (FEM) and the Finite Difference Method (FDM) are used to describe structural deformation and the Boundary Element Method (BEM) is applied to describe the dynamic interaction of water on a plate surface. The plate inertia forces are expressed by diagonal or consistent mass matrix. The water inertia forces are described by fully-populated mass matrix which is obtained directly from the theory of double layer potential.
Źródło:
Vibrations in Physical Systems; 2021, 32, 2; art. no. 2021208
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Free vibrations of non-prismatic slender system subjected to the follower force directed towards the positive pole
Autorzy:
Szmidla, J.
Jurczyńska, A.
Powiązania:
https://bibliotekanauki.pl/articles/128206.pdf
Data publikacji:
2016
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
slender systems
non-prismatic systems
free vibrations
specific load
układy smukłe
układy niepryzmatyczne
drgania swobodne
obciążenie swoiste
Opis:
The paper contains the results of theoretical and numerical studies within the scope of kinetic criterion of stability loss of slender non-prismatic column subjected to the follower force directed towards the positive pole (the case of specific load). Shape of the system approximation by a linear function and polynomial of degree 2 was considered. On the basis of the Bernoulli – Euler’s theory, the mechanical energy was defined. The differential equations of motion and natural boundary conditions were determined according to the Hamilton’s principle. The issue of free vibrations was solved using the small parameter method. Within the range of numerical calculations, the changes in the eigenvalues were presented as a function of external load with variable geometrical parameters of the system, including parameters resulting from the shape approximation and parameters of loading structure.
Źródło:
Vibrations in Physical Systems; 2016, 27; 365-368
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Free vibrations of geometrically nonlinear column locally resting on the winkler elastic foundation under the specific load
Autorzy:
Szmidla, J.
Cieślińska-Gąsior, I.
Powiązania:
https://bibliotekanauki.pl/articles/128264.pdf
Data publikacji:
2016
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
frequency of free vibrations
Winkler elastic foundation
slender systems
częstotliwość drgań własnych
sprężyste podłoże Winklera
układy smukłe
Opis:
The results of theoretical and numerical studies concerning continuous system subjected to the follower force directed towards the positive pole, locally resting on Winkler elastic foundation are presented in this paper. The load by follower force directed towards the positive pole is guaranteed by loading structure built of loading and receiving heads made of elements of circular outlines. Abovementioned heads are real constructions, used in experimental research of continuous systems. Taking into account total mechanical energy of the system, the Hamilton’s principle and the small parameter method, the differential equations of motion and boundary conditions of the considered column were determined. On the basis of a solution of the issue of dynamics of the system, an appropriate formulas were formulated and then the trajectory of curves on the plane frequency of free vibrations – the value of external load were calculated taking into considerations physical and geometrical parameters of the structure, including parameter of loading head and parameters describing Winkler elastic foundation.
Źródło:
Vibrations in Physical Systems; 2016, 27; 355-362
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Free flexural vibrations of an expanded-tapered sandwich beam
Autorzy:
Magnucki, Krzysztof
Kustosz, Joanna
Goliwąs, Damian
Powiązania:
https://bibliotekanauki.pl/articles/24201991.pdf
Data publikacji:
2023
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
analytical modelling
expanded-tapered sandwich beam
fundamental natural frequency
modelowanie analityczne
belka sandwiczowa
częstotliwość drgań własnych
Opis:
The paper is devoted to the analytical modelling of a simply supported expanded-tapered sandwich beam. The simplified analytical model of this beam with omitting the shear effect is elaborated. Based on Hamilton’s principle, the differential equation of motion of this beam is obtained. This equation is analytically solved with consideration of the deflection line of this beam subjected to its own weight. The fundamental natural frequencies for exemplary beams are derived. Moreover, the FEM model of the beam in the ABAQUS is developed. The calculation results of the fundamental natural frequency of exemplary beams of these two methods are presented in tables and figures.
Źródło:
Vibrations in Physical Systems; 2023, 34, 1; art. no. 2023114
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The vibrations and the stability of a flat frame type gamma realizing the Euler’s load taking into account the vulnerability of the structural node connecting the pole and the bolt of the system
Autorzy:
Szmidla, J.
Wiktorowicz, J.
Powiązania:
https://bibliotekanauki.pl/articles/127752.pdf
Data publikacji:
2014
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
flat frame
free vibrations
Euler's load
rama płaska
drgania swobodne
obciążenie eulerowskie
Opis:
The paper presents the results of theoretical research and numerical calculations of the vibration and the stability of a twin rod flat frame subjected to the Euler's load. Considering the total mechanical energy of the system and using the kinematic stability criterion (Hamilton's principle) is determined by the equations of motion and boundary conditions considered system. The results of numerical calculations are presented at selected geometrical and physical parameters in the system for selected values of the rotary spring stiffness modeling the structural rigidity of the node connecting bolt with the column of frame.
Źródło:
Vibrations in Physical Systems; 2014, 26; 297-304
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Impact of pre-stress on stability and vibration of geometric nonlinear column at a load force directed to the positive pole
Autorzy:
Szmidla, J.
Cieślińska-Gąsior, I.
Powiązania:
https://bibliotekanauki.pl/articles/127836.pdf
Data publikacji:
2014
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
free vibrations
geometrically non-linear system
prestressing
drgania swobodne
układ geometrycznie nieliniowy
sprężanie
Opis:
The subject of the results of theoretical and numerical studies measures to designate the effect of pre-stress on the vibration of geometrically non-linear column exposed to the load force directed to the positive pole. Considering the total mechanical energy of the system the equation of motion and the boundary conditions necessary to solve the boundary problem were determined. Based on the kinetic stability criterion the range of values of internal compression forces was determined in which the growth of critical load of the column above the local loss of stability was achieved. In the research the geometrically non-linear system was analysed with variable asymmetry of bending stiffness and at selected values of geometrical parameters of the head realizing the load.
Źródło:
Vibrations in Physical Systems; 2014, 26; 289-296
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinear vibrations of the partially tensioned system taking into account the asymmetry of the stiffness of supports
Autorzy:
Uzny, Sebastian
Osadnik, Michał
Powiązania:
https://bibliotekanauki.pl/articles/128293.pdf
Data publikacji:
2019
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
slender nonlinear systems
free vibrations
Euler’s load
nieliniowe układy smukłe
drgania swobodne
obciążenie Eulera
Opis:
The nonlinear vibrations of the partially tensioned slender column are presented in this paper. The considered system is subjected to Euler’s load, which direction of action is consistent with the non-deformed axis of the column. The magnitude of the external load is variable and its application point is located at different heights between the upper and lower supports. In addition, the longitudinal displacement and rotation of both of the system ends are limited by the discrete elements in the form of translational and rotational springs. This nonlinear system is based on the screw drive used in the vertical lift platform for disabled people or cargo lift equipped with an engine room located in the lower part of the frame. The boundary problem of free vibrations of the mentioned system has been formulated on the basis of Bernoulli - Euler theory and due to nonlinear expressions the solution of the problem was conducted with small parameter method. The results of numerical simulations are concern on linear and nonlinear component of vibrations in relation to the location of external load application and influence of asymmetric value of supports stiffness on the free vibration frequency.
Źródło:
Vibrations in Physical Systems; 2019, 30, 2; 1-8
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 20

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