Temat: rectangular - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Free vibration of clamped visco-elastic rectangular plate having bi-direction exponentially thickness variations
Autorzy:: Gupta, A. K.
Khanna, A.
Gupta, D. V.
Powiązania:: https://bibliotekanauki.pl/articles/281741.pdf
Data publikacji:: 2009
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: viscoelasticity
clamped rectangular plate
variable thickness
Opis:: Free vibration of a clamped visco-elastic rectangular plate having bi-direction exponentially varying thickness has been analysed on the basis of classical plate theory. For visco-elastic materials, basic elastic and viscous elements are combined. We have assumed the Kelvin model for visco-elasticity, which is a combination of elastic and viscous elements connected in parallel. Here, the elastic element is constituted by a spring and the viscous one is a dashpot. An approximate but quite convenient frequency equation is derived by using the Rayleigh-Ritz technique. Logarithmic decrement, time period and deflection (at two different instant of time) for the first two modes of vibration and for various values of the taper constants and aspect ratio are calculated. Comparison studies have been carried out with bi-linearly thickness variation to establish the accuracy and versatility of the method.
W pracy rozważono problem swobodnych drgań utwierdzonej lepkosprężystej prostokątnej płyty o dwukierunkowo wykładniczo zmiennej grubości na podstawie klasycznej teorii płyt. Uwzględniono lepkosprężyste właściwości materiału płyty, bazując na podstawowych elementach reologicznych. Przyjęto model Kelvina, tj. równoległą kombinację elementu sprężystego i wiskotycznego. Równanie ruchu płyty rozwiązano metodą Rayleigha-Ritza, otrzymując przybliżoną, ale wygodną do analizy postać wyrażenia w dziedzinie częstości. Następnie wyznaczono wartość logarytmicznego dekrementu tłumienia, okresu drgań i ugięcia płyty dla dwóch pierwszych funkcji własnych dla różnych parametrów opisujących zmienną grubość i wymiary zewnętrzne płyty. Wyniki obliczeń przy uwzględnieniu zmiany grubości płyty porównano z dotychczasowymi rezultatami badań w celu potwierdzenia dokładności i uniwersalności metody.
Źródło:: Journal of Theoretical and Applied Mechanics; 2009, 47, 2; 457-471
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Pre-designing of a mechatronic system using an analytical approach with Dymola
Autorzy:: Hamza, G.
Choley, J.-Y.
Hammadi, M.
Riviere, A.
Barkallah, M.
Louati, J.
Haddar, M.
Powiązania:: https://bibliotekanauki.pl/articles/281893.pdf
Data publikacji:: 2015
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: pre-dimensioning
Dymola
analytical method
vibration
rectangular plate
Opis:: This paper presents a pre-dimensioning method applied to a mechatronic system and regarding the vibrational aspect, through a simple modeling process in Dymola environment. We study the vibration transmission between dynamic exciters (motors) and receivers (electronic cards) which are located on a simply supported rectangular plate, using an analytical approach. This new method will allow us to perform representative and robust modeling and simulation. The solution for this issue would be a pre-sizing and pre-positioning procedure. It aims to determine a set of possible technical solutions and principal characteristics before the definitive choice of components and precise sizing of the system. The presented method predicts also behaviour of the mechatronic system. In order to validate the model with respect to the finite element method, selected simulation results are presented.
Źródło:: Journal of Theoretical and Applied Mechanics; 2015, 53, 3; 697-710
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Buckling analysis of three-layered rectangular plate with piezoelectric layers
Autorzy:: Yaghoobi, H.
Rajabi, I
Powiązania:: https://bibliotekanauki.pl/articles/282015.pdf
Data publikacji:: 2013
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: three-layered rectangular plate
piezoelectric
critical buckling load
Opis:: This paper employs an analytical method to analyze the buckling of piezoelectric coupled plates with different boundary conditions on the basis of the first order shear deformation plate theory. The structure is composed of a host isotropic plate and two bonded piezo electric layers. Convergence study is performed in order to verify the numerical stability of the presented method. Also, the present analysis is validated by comparing the results with those in the literature, and then the critical buckling load of the piezoelectric coupled plates is presented in tabular and graphical forms for different plate aspect ratios, thickness of the piezoelectric, actuator voltage and boundary conditions.
Źródło:: Journal of Theoretical and Applied Mechanics; 2013, 51, 4; 813-826
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Exponential temperature effect on frequencies of a rectangular plate of non-linear varying thickness: a quintic spline technique
Autorzy:: Gupta, A. K.
Mamta, J.
Powiązania:: https://bibliotekanauki.pl/articles/949230.pdf
Data publikacji:: 2014
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: exponentially temperature
non-linear
thickness variation
vibration
rectangular plate
Opis:: The differential equation governing the transverse motion of an elastic rectangular plate of non-linear thickness variation with thermal gradient has been analyzed on the basis of classi- cal plate theory. Following Levy’s approach, i.e. the two parallel edges are simply supported, the fourth-order differential equation governing the motion of such plates of non-linear vary- ing thickness in one direction with exponentially temperature distribution has been solved by using the quintic splines interpolation technique for two different combinations of clamped and simply supported boundary conditions at the other two edges. An algorithm for com- puting the solution of this differential equation is presented for the case of equal intervals. The effect of thermal gradient together with taper constants on the natural frequencies of vibration is illustrated for the first three modes of vibration.
Źródło:: Journal of Theoretical and Applied Mechanics; 2014, 52, 1; 15-24
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Inclination angle implications for fluid flow and mixed convection in complex geometry enclosure-meshless numerical analyses
Autorzy:: Najafi, M.
Nikfar, M.
Arefmanesh, A.
Powiązania:: https://bibliotekanauki.pl/articles/279898.pdf
Data publikacji:: 2015
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: meshless
Petrov-Galerkin
mixed convection
rectangular cavity
wavy wall
Opis:: The meshless local Petrov-Galerkin (MLPG) method is extended to analyze the mixed convection and fluid flow in an inclined two-dimensional lid-driven cavity. The enclosure considered comprises two insulated vertical walls and a wavy bottom wall which is subjected to a higher constant temperature than its top counterpart, the sliding lid. For the proposed scheme, the stream function formulation with a weighting function of unity is employed. The simulation results reveal that the local Nusselt number increases with a clockwise increase in the inclination angle. Also, a decrease in the aspect ratio results in an increase in the hot wavy wall average Nusselt number.
Źródło:: Journal of Theoretical and Applied Mechanics; 2015, 53, 3; 519-530
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Vibration frequencies of a rectangular plate with linear variation in thickness and circular variation in Poisson’s ratio
Autorzy:: Sharma, Amit
Powiązania:: https://bibliotekanauki.pl/articles/280855.pdf
Data publikacji:: 2019
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: rectangular plate
circular variation
linear variation
Poisson’s ratio
Opis:: The frequency for the first two modes of vibration of a nonhomogeneous tapered rectangular plate is calculated under a bi linear (i.e., linear along both the axes) temperature field. For consideration of the nonhomogeneous material, the author assumed circular variation in Poisson’s ratio. Tapering in the plate is assumed to be linear in one direction. The results are calculated for different values of plate parameters and presented with the help of graphs. Comparison of the results is also given, to support the results of the present study.
Źródło:: Journal of Theoretical and Applied Mechanics; 2019, 57, 3; 605-615
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Free vibrational analysis of rectangular ducts with different joint conditions
Autorzy:: Jade, N.
Venkatesham, B.
Powiązania:: https://bibliotekanauki.pl/articles/279956.pdf
Data publikacji:: 2018
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: rectangular duct
duct joint
experimental modal analysis
modal assurance criteria
Opis:: Rectangular ducts are fabricated using thin sheets of a metal with different joint conditions. Due to the presence of these joints, ducts deviate from their assumptive ideal shapes. The objective of the present work is to study the effect of different joint conditions and wall thickness on dynamic characteristics of the ducts. Experimental Modal Analysis (EMA) is performed on three rectangular ducts of different joint types. Numerical Modal Analysis (NMA) is also performed by considering that the ducts are of ideal rectangular shape (without joint condition). Correlation analysis is performed between EMA and NMA in terms of Modal Assurance Criteria (MAC), Relative Frequency Difference (RFD) plots and auto-MAC. It is observed that natural frequencies are in good agreement but there is a discrepancy in mode shapes.
Źródło:: Journal of Theoretical and Applied Mechanics; 2018, 56, 4; 1069-1081
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: A modified Fourier-Ritz method for free vibration of rectangular plates with elastic constrains
Autorzy:: Wu, Tao
Chen, Zhao Bo
Qu, Jian Jun
Powiązania:: https://bibliotekanauki.pl/articles/2086961.pdf
Data publikacji:: 2022
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: modified Fourier-Ritz method
rectangular plate
free vibration
boundary conditions
Opis:: In this paper, a modified Fourier-Ritz method is used to study free vibration of a rectangular plate with a set of simply supported opposite sides and another set of arbitrary elastic constraints. The influence of different elastic constraint stiffness values on the modal response of the rectangular plate is also analyzed. In order to avoid that the displacement function of the rectangular plate calculated by the traditional method and its derivative may be discontinuous or non-derivable at the boundary, the displacement function is expressed in the form of the sum of standard cosine series and a periodic polynomial function. Compared with the sine series expansion, the convergence of the result is enhanced. Several sets of numerical examples with different boundary conditions are given in the article, the data shows that the results calculated by this method have good accuracy and fast convergence. In addition, this paper also analyzes the boundary conditions and discusses the influence of different spring stiffness values on the setting of boundary conditions. The results can be applied to the setting of general boundary conditions and the study of vibration control of rectangular plates.
Źródło:: Journal of Theoretical and Applied Mechanics; 2022, 60, 1; 77--89
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: Strength of a metal seven-layer rectangular plate with trapezoidal corrugated cores
Autorzy:: Magnucka-Blandzi, E.
Walczak, Z.
Wittenbeck, L.
Rodak, M.
Powiązania:: https://bibliotekanauki.pl/articles/280482.pdf
Data publikacji:: 2017
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: rectangular layered plate
corrugated cores
hypothesis of deformation
deflection
stresses
Opis:: The subject of analytical and numerical investigations in this paper is a metal seven-layer rectangular plate with a trapezoidal corrugated main core and two trapezoidal corrugated cores of faces. The hypothesis of deformation of the normal to the middle surface of the plate after bending and field of displacements is formulated. The plate is simply supported on all its edges and subjected to a uniform pressure. Equations of equilibrium are derived based on the theorem of minimum total potential energy and are solved with the use of the Galerkin method. The influence of the trapezoidal corrugation pitch of the cores on the deflection and the equivalent stress is analysed.
Źródło:: Journal of Theoretical and Applied Mechanics; 2017, 55, 2; 433-446
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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