Dynamic behaviour of axially functionally graded beam resting on variable elastic foundation

• Autorzy: Kumar Saurabh

Identyfikatory

DOI

10.24425/ame.2020.131700

• Języki publikacji: EN

Abstrakty

EN

In this paper, a comprehensive study is carried out on the dynamic behaviour of Euler–Bernoulli and Timoshenko beams resting on Winkler type variable elastic foundation. The material properties of the beam and the stiffness of the foundation are considered to be varying along the length direction. The free vibration problem is formulated using Rayleigh-Ritz method and Hamilton’s principle is applied to generate the governing equations. The results are presented as non-dimensional natural frequencies for different material gradation models and different foundation stiffness variation models. Two distinct boundary conditions viz., clamped-clamped and simply supported-simply supported are considered in the analysis. The results are validated with existing literature and excellent agreement is observed between the results.

Słowa kluczowe

EN

free vibration; variable elastic foundation; axially functionally graded beams; Euler-Bernoulli beam; Timoshenko beam

PL

wolne wibracje; podłoże zmiennie sprężyste; belka Eulera-Bernoulliego; wiązka Tymoszenko

• Wydawca: Komitet Budowy Maszyn PAN
• Czasopismo: Archive of Mechanical Engineering
• Rocznik: 2020
• Tom: LXVII, nr 4
• Strony: 451--470
• Opis fizyczny: Bibliogr. 30 poz., rys., tab., wykr.

Twórcy

autor

Kumar Saurabh

• Department of Mechanical Engineering, School of Engineering, University of Petroleum and Energy Studies (UPES), Dehradun, 248007, India

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).