Temat: linearization method - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Collocation method based on barycentric interpolation iteration for analysis of nonlinear microbeams
Autorzy:: Zhuang, M.
Miao, C.
Wang, Z.
Powiązania:: https://bibliotekanauki.pl/articles/279890.pdf
Data publikacji:: 2018
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: nonlinear microbeams
barycentric Lagrange interpolation
collocation method
linearization method
iteration method
Opis:: A powerful computational methodology, named the barycentric Lagrange interpolation iteration collocation method (BLIICM), for solving nonlinear bending problems of a doubly clamped microbeam under electrostatic loads is presented. The nonlinear governing equation of the microbeam is converted into a linear diﬀerential equation by assuming the initial function. The barycentric Lagrange interpolation collocation method (BLICM) is used to solve the linear diﬀerential equation. The direct linearization formulations and Newton linearization calculation formulations for the nonlinear diﬀerential equation have been given. The calculation method and formulation of the nonlinear integral term have been discussed in details. By applying a barycentric Lagrange interpolation diﬀerential matrix, a matrix-vector calculation formula of BLIICM has been established. Numerical results of calculation examples show that the advantages of the proposed methodology are eﬃcient, simple and of high precision.
Źródło:: Journal of Theoretical and Applied Mechanics; 2018, 56, 3; 741-749
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Semi-analytical treatment of complex nonlinear oscillations arising in the slider-crank mechanism
Autorzy:: Big-Alabo, Akuro
Ogbodo, Collins Onyinyechukwu
Ossia, Chinwuba Victor
Powiązania:: https://bibliotekanauki.pl/articles/1031444.pdf
Data publikacji:: 2020
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Slider-crank mechanism
conservative system
continuous piecewise linearization method
non-natural system
nonlinear oscillation
periodic solution
Opis:: The model for the free nonlinear oscillation of the slider-crank mechanism is very complicated and difficult to solve accurately using most of the existing approximate analytical schemes. However, the continuous piecewise linearization method (CPLM), which is a recently proposed semi-analytical algorithm, is capable of producing simple and accurate periodic solutions for conservative systems irrespective of the complexity of the nonlinear restoring force. Hence, this study applied the CPLM to solve and analyze the complex nonlinear oscillations arising in the slider-crank mechanism. The CPLM results were verified using numerical solutions and it was found that the CPLM solution was accurate to less than 1.0% for angular amplitudes up to 165°. Analysis of the frequency-amplitude response revealed the existence of asymptotic behaviour as the ratio of the crank radius to the connecting rod length approaches zero or unity. Hence, oscillation models for the observed asymptotic responses were derived and found to be significantly simpler compared to the original oscillation model. Finally, analysis of the large-amplitude oscillations of the slider-crank mechanism revealed the presence of strong anharmonic response.
Źródło:: World Scientific News; 2020, 142; 1-24
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: The impact of variable fluid properties on natural convection flow past a vertical cone
Autorzy:: Srinivasacharya, Darbhasayanam
Rajender, Bhanoth
Powiązania:: https://bibliotekanauki.pl/articles/2202044.pdf
Data publikacji:: 2022
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: viscous fluid
vertical isothermal cone
successive linearization
Chebyshev collocation method and frequency equation
ciecz lepka
pionowy stożek izotermiczny
linearyzacja sukcesywna
metoda kolokacji Czebyszewa
Opis:: A free convective flow of an incompressible viscous fluid past an isothermal vertical cone is investigated with variable viscosity and variable thermal conductivity. The constant wall temperature (CWT) and constant wall heat flux (CHF) conditions are used as temperature boundary conditions at the surface of the cone. The successive linearization method is applied to linearize the governing nonlinear differential equations of the flow. The numerical solution for the resulting linear equations is attained through the Chebyshev spectral collocation method. The impact of significant parameters on the velocity and temperature, in addition to heat and mass transfer rates, is evaluated and represented graphically for the CWT and CHF situations. The local heat transfer rate decreases, and the coefficient of the skin friction increases with an increase in the viscosity and thermal conductivity parameters for CWT conditions, but the reverse trend is noticed for CHF conditions.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 4; 73--85
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Study of the admixtures effect on concrete creep using Bayesian Linear Regression
Autorzy:: Zgheib, E.
Raphael, W.
Powiązania:: https://bibliotekanauki.pl/articles/962255.pdf
Data publikacji:: 2019
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: Eurokod 2
pełzanie betonu
metoda Bayesa
linearyzacja
domieszka
reduktor wody
pył krzemionkowy
Eurocode 2
concrete creep
Bayesian method
linearization
admixture
water reducer
silica fume
Opis:: Admixtures are commonly used nowadays in the mix composition of concrete. These additions affect concrete properties and performance especially creep deformations. This paper shows the effect of admixtures on creep of concrete. In fact, creep deformations have prejudicial consequences on concrete behaviour; an incorrect or inaccurate prediction leads to undesirable consequences in structures. Therefore, an accurate estimation of these deformations is mandatory. Moreover, design codes do not consider admixtures’ effect while predicting creep deformations, thus it is necessary to develop models that predict accurately creep deformations and consider the effect of admixtures. Using a large experimental database coming from international laboratories and research centres, this study aims to update the Eurocode 2 creep model by considering the type and percentage of admixtures using Bayesian Linear Regression method. The effect of two types of admixtures is presented in this paper; the water reducer and silica fume.
Źródło:: Archives of Civil Engineering; 2019, 65, 3; 127-140
1230-2945
Pojawia się w:: Archives of Civil Engineering
Dostawca treści:: Biblioteka Nauki

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