Free flexural vibration of a sandwich beam on an elastic foundation with variable properties

• Autorzy: Magnucki K. , Wstawska I. , Kedzia P.

Identyfikatory

DOI

10.24423/aom.4311

• Języki publikacji: EN

Abstrakty

EN

Free flexural vibration of a simply supported sandwich beam on an elastic foundation is the main purpose of the presented investigation. An analytical model of multi-layered beam on elastic foundation has been prepared. The authors submitted an original beam-foundation interaction model which based on variable parameters of the foundation and their influence on the beam response. This explanation leads to the possibility of continuous characterization of the beam-foundation interplay. A nonlinear mathematical function for symmetrical properties of the foundation has been adopted. The frequency equation as a function of geometric and mechanical properties of the beam and the parameters of the elastic foundation was derived using the Galerkin method. The analytical investigation has been divided into two parts: the analysis of elastic foundation with constant and variable properties. The unconventional shape function and the function of deflection have been introduced and employed. Moreover, the finite element analysis has been performed. Sample analytical and numerical calculations have been performed, demonstrating a good concurrence between both models. The difference between analytical and numerical values of the fundamental natural frequency did not exceed 0:5%.

Słowa kluczowe

EN

free vibration; elastic foundation; sandwich beam; frequency; Galerkin method

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2023
• Tom: Vol. 75, nr 6
• Strony: 619--646
• Opis fizyczny: Bibliogr. 37 poz., rys., tab., wykr.

Twórcy

autor

Magnucki K.

• Lukasiewicz Research Network – Poznan Institute of Technology, 6 Ewarysta Estkowskiego St., 61-755 Poznan, Poland

autor

Wstawska I.

• Institute of Applied Mechanics, Poznan University of Technology, 24 Jana Pawła II St., 60-965 Poznan, Poland

autor

Kedzia P.

• Institute of Applied Mechanics, Poznan University of Technology, 24 Jana Pawła II St., 60-965 Poznan, Poland

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