Temat: exact solution - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Exact solution for large amplitude flexural vibration of nanobeams using nonlocal Euler-Bernoulli theory
Autorzy:: Nazemnezhad, R.
Hosseini-Hashemi, S.
Powiązania:: https://bibliotekanauki.pl/articles/279261.pdf
Data publikacji:: 2017
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: nonlinear free vibration
nonlocal elasticity
nanobeam
exact solution
elliptic integrals
Opis:: In this paper, nonlinear free vibration of nanobeams with various end conditions is studied using the nonlocal elasticity within the frame work of Euler-Bernoulli theory with von K´arm´an nonlinearity. The equation of motion is obtained and the exact solution is established using elliptic integrals. Two comparison studies are carried out to demonstrate accuracy and applicability of the elliptic integrals method for nonlocal nonlinear free vibration analysis of nanobeams. It is observed that the phase plane diagrams of nanobeams in the presence of the small scale effect are symmetric ellipses, and consideration the small scale effect decreases the area of the diagram.
Źródło:: Journal of Theoretical and Applied Mechanics; 2017, 55, 2; 649-658
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Green’s function for a multifield material with a heat source
Autorzy:: Rogowski, B.
Powiązania:: https://bibliotekanauki.pl/articles/279505.pdf
Data publikacji:: 2016
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: Green's functions
point heat source
multifield material
magneto-electro-thermo-elastic fundamental solution
multifield composites
exact solution
Opis:: Green’s functions for a multifield material subjected to a point heat source are presented in an explicit analytical form. The study concerns the steady-state thermal loading infi- nite region, half-space region and two-constituent magneto-electro-thermo-elastic material region. The new mono-harmonic potential functions, obtained by the author, are used in the analysis. The elastic displacement, electric potential, magnetic potential and induced by those coupled multifield physical quantities, caused by internal or external heat sources, are limited and presented in a very useful form, exactly and explicitly.
Źródło:: Journal of Theoretical and Applied Mechanics; 2016, 54, 3; 743-755
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: A simplified elliptical function solution for coupled nonlinear vibration of multilayer graphene sheets
Autorzy:: Venkatraman, G.
Suji, D.
Powiązania:: https://bibliotekanauki.pl/articles/2086951.pdf
Data publikacji:: 2022
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: nonlinear coupled vibration
nonlinear van der Waals force
Multilayer Graphene Sheets
elliptical function
exact solution
Opis:: This paper presents a simple exact solution for coupled nonlinear free vibration analysis of Multilayer Graphene Sheets (MLGS) using elliptical functions. Though elliptical functions are used in nonlinear dynamics, they are employed to find the exact solution of a coupled system for the first time. The nonlinear dynamic equation including geometric nonlinearity and Eringen nonlocal theory is uncoupled by elliptical functions, and exact solutions for simply supported boundary conditions are obtained. The results are compared with the harmonic balance method. The nonlinear frequency of MLGS is studied for its effects with a small scale parameter, and the linear and nonlinear van der Waals force.
Źródło:: Journal of Theoretical and Applied Mechanics; 2022, 60, 1; 3--16
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja