Молимо вас користите овај идентификатор за цитирање или овај линк до ове ставке: https://scidar.kg.ac.rs/handle/123456789/12682
Назив: Free vibration analysis of 3D non-uniform beam: the rigid segment approach
Аутори: Nikolić, Aleksandar
Šalinić, Slaviša
Датум издавања: 2020
Сажетак: © 2020 Elsevier Ltd This paper presents the free vibration analysis of 3D non-uniform Euler-Bernoulli and Timoshenko beams by using the rigid segment method. In the first step, the rigid segment model of the free-free beam with the constant cross section was presented. In this model the elastic beam was discretized by three rigid segments which are connected by elastic joints with six degrees of freedom. The absolute coordinates of the rigid segments in accordance to the inertial frame were used which further led to the appearance of redundant coordinates. For this reason, the Lagrange equations of the first kind was used to describe the motion of rigid segments. After elimination of the Lagrange multipliers, differential equations of motion expressed in independent coordinates were obtained. Finally, the non-uniform beam is approximately described with the number of uniform beams. The differential equations of the whole non-uniform beam were obtained by summing all of the previously obtained differential equations of the uniform beams. The precision of the proposed algorithm is verified by numerical examples.
URI: https://scidar.kg.ac.rs/handle/123456789/12682
Тип: article
DOI: 10.1016/j.engstruct.2020.110796
ISSN: 0141-0296
SCOPUS: 2-s2.0-85088834159
Налази се у колекцијама:Faculty of Mechanical and Civil Engineering, Kraljevo

Број прегледа

147

Број преузимања

7

Датотеке у овој ставци:
Датотека Опис ВеличинаФормат 
PaperMissing.pdf
  Ограничен приступ
29.86 kBAdobe PDFСличица
Погледајте


Ставке на SCIDAR-у су заштићене ауторским правима, са свим правима задржаним, осим ако није другачије назначено.