Variational iterational method in stability analysis of beams under nonconservative forces

• Autorzy: Glabisz W. , Jarczewska K. , Zielichowski-Haber W.
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to demonstrate the effectiveness of VIM in the analysis of the stability of prismatic and nonprismatic (multisegmental) Euler–Bernoulli beams under static nonconservative loads. The application of VIM to the analysis of beam problems may lead to solutions which can form the basis for the evaluation of the quality of the numerical methods used in the problems. The general Lagrange multipliers for the Euler–Bernoulli beam equation are presented. The convergence of VIM for the multipliers is discussed and an exemplary solution to the problem of the stability of the multisegmental beam under nonconservative loads is presented.

Słowa kluczowe

EN

variational iterational method; nonconservative forces; stability analysis; multisegmental beam

PL

wariacyjna metoda iteracji; analiza stabilności; belka Bernoulliego-Eulera

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2013
• Tom: Vol. 13, no. 1
• Strony: 82--87
• Opis fizyczny: Bibliogr. 38 poz., tab., wykr.

Twórcy

autor

Glabisz W.

• Wrocław University of Technology, Institute of Civil Engineering, Wybrzeże Stanisława Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

Jarczewska K.

• Wrocław University of Technology, Institute of Civil Engineering, Wybrzeże Stanisława Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

Zielichowski-Haber W.

• Wrocław University of Technology, Institute of Civil Engineering, Wybrzeże Stanisława Wyspiańskiego 27, 50-370 Wrocław, Poland

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