Temat: Euler buckling - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: Straight and Bent Bars Buckling Considered as the Axial Displacement of One Bar End
Autorzy:: Berczyński, Stefan
Dunaj, Paweł
Grządziel, Zenon
Tematy:: buckling
Euler buckling
straight bar
critical force
bent-up bar; Pokaż więcej
Wydawca:: STE GROUP
Powiązania:: https://bibliotekanauki.pl/articles/2064886.pdf Link otwiera się w nowym oknie
Opis:: A new approach has been taken to the problem of straight and bent bar buckling, where bar buckling is considered as a function of axial displacement of one end. It was assumed that the length of a bar being buckled at any instant of buckling is the same as that of a straight bar, regardless of the size of axial displacement of one end of the bar. Based on energy equations, a formula was derived for the value of axial displacement of one bar end or buckling amplitude in the middle of bar length as a function of compressive force. The established relationships were confirmed by simulation tests using the finite element software Midas NFX and by experimental tests.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: A new approach for buckling analysis of axially functionally graded beams
Autorzy:: Rychlewska, J.
Tematy:: functionally graded beams
buckling load
Euler-Bernoulli beam theory
funkcjonalne belki gradientowe
teoria Bernoulliego-Eulera; Pokaż więcej
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Powiązania:: https://bibliotekanauki.pl/articles/122955.pdf Link otwiera się w nowym oknie
Opis:: The object of considerations are axially functionally graded (FG) beams, which are loaded by an axial force varying along the length of the beam. The main idea presented here is to approximate FG beams by an equivalent beam with piecewise exponentially varying material properties, geometrical properties and axial load. Numerical solutions of the buckling analysis are obtained for four various types of boundary conditions associated with pinned and clamped ends. The usefulness of the proposed method is confirmed by comparing numerical results with those available for graded beams of special polynomial non-homogeneity.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Thermal buckling and free vibration of Euler–Bernoulli FG nanobeams based on the higher-order nonlocal strain gradient theory
Autorzy:: Janevski, G.
Despenić, N.
Pavlović, I.
Tematy:: Euler–Bernoulli beam theory
thermal buckling
vibration
functionally graded materials
higher-order strain gradient theory; Pokaż więcej
Wydawca:: Instytut Podstawowych Problemów Techniki PAN
Powiązania:: https://bibliotekanauki.pl/articles/38444568.pdf Link otwiera się w nowym oknie
Opis:: A size-dependent Euler–Bernoulli beam model is derived within the framework of the higher-order nonlocal strain gradient theory. Nonlocal equations of motion are derived by applying Hamilton’s principle and solved with an analytical solution. The solution is obtained using the Navier solution procedure. In the case of simply supported boundary conditions, the analytical solutions of natural frequencies and critical buckling temperature for free vibration problems are obtained. The paper investigates the thermal effects on buckling and free vibrational characteristics of functionally graded size-dependent nanobeams subjected to various types of thermal loading. The influence of higher-order and lower-order nonlocal parameters and strain gradient scale on buckling and vibration are investigated for various thermal conditions. The obtained results are compared with previous research.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Mechanical nature of a single walled carbon nanotube using Legendre’s polynomials
Autorzy:: Tiwari, P.
Nagar, P.
Tematy:: Euler-Bernoulli’s beam theory
nonlocal elasticity theory
Legendre’s polynomial
aspect ratio
critical buckling load
Winkler and Pasternak elastic constants; Pokaż więcej
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Powiązania:: https://bibliotekanauki.pl/articles/279475.pdf Link otwiera się w nowym oknie
Opis:: This paper is concerned with the mechanical response of a single-walled carbon nanotube. Euler-Bernoulli’s beam theory and Hamilton’s principle are employed to derive the set of governing differential equations. An efficient variational method is used to determine the solution of the problem and Legendre’s polynomials are used to define basis functions. Significance of using these polynomials is their orthonormal property as these shape functions convert mass and stiffness matrices either to zero or one. The impact of various parameters such as length, temperature and elastic medium on the buckling load is observed and the results are furnished in a uniform manner. The degree of accuracy of the obtained results is verified with the available literature, hence illustrates the validity of the applied method. Current findings show the usage of nanostructures in vast range of engineering applications. It is worth mentioning that completely new results are obtained that are in validation with the existing results reported in literature.
Dostawca treści:: Biblioteka Nauki

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