Free Vibrations of Uniform Timoshenko Beams on Pasternak Foundation Using Coupled Displacement Field Method

• Autorzy: Rajesh K. , Saheb K. M.

Identyfikatory

DOI

10.1515/meceng-2017-0022

• Języki publikacji: EN

Abstrakty

EN

Complex structures used in various engineering applications are made up of simple structural members like beams, plates and shells. The fundamental frequency is absolutely essential in determining the response of these structural elements subjected to the dynamic loads. However, for short beams, one has to consider the effect of shear deformation and rotary inertia in order to evaluate their fundamental linear frequencies. In this paper, the authors developed a Coupled Displacement Field method where the number of undetermined coefficients 2n existing in the classical Rayleigh-Ritz method are reduced to n, which significantly simplifies the procedure to obtain the analytical solution. This is accomplished by using a coupling equation derived from the static equilibrium of the shear flexible structural element. In this paper, the free vibration behaviour in terms of slenderness ratio and foundation parameters have been derived for the most practically used shear flexible uniform Timoshenko Hinged-Hinged, Clamped-Clamped beams resting on Pasternak foundation. The findings obtained by the present Coupled Displacement Field Method are compared with the existing literature wherever possible and the agreement is good.

Słowa kluczowe

EN

free vibrations; coupled displacement field method; uniform Timoshenko beam; Pasternak foundation

PL

drgania swobodne; metoda CDF; jednolita belka Timoshenko; podłoże Pasternaka

• Wydawca: Komitet Budowy Maszyn PAN
• Czasopismo: Archive of Mechanical Engineering
• Rocznik: 2017
• Tom: Vol. LXIV, nr 3
• Strony: 359--373
• Opis fizyczny: Bibliogr. 17 poz., rys., tab.

Twórcy

autor

Rajesh K.

• Jawaharlal Nehru Technological University Kakinada – 533 003 Andhra Pradesh, India

autor

Saheb K. M.

• Jawaharlal Nehru Technological University Kakinada – 533 003 Andhra Pradesh, India

Bibliografia

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• [14] T.M. Wang and L.W. Gagnon. Vibrations of continuous Timoshenko beams on Winkler-Pasternak foundations. Journal of Sound and Vibration, 59(2):211–220, 1978. doi: 10.1016/0022-460X(78)90501-1.
• [15] T. Yokoyama. Vibration analysis of Timoshenko beam-columns on two-parameter elastic foundations. Computers&Structures, 61(6):995–1007, 1996. doi: 10.1016/0045-7949(96)00107-1.
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Uwagi

EN

1. The research illustrated in this paper was carried out at Jawaharlal Nehru Technological University Kakinada, AP, India and this work is supported by Technical Education Quality Improvement Program-II. The authors would like to express their gratefulness to the authorities Jawaharlal Nehru Technological University Kakinada, AP, and India for extending their support. 2. Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).