Consideration of shear, rotational inertia and compressive force during transverse vibrations of structural beam elements

• Autorzy: Orobey Viktor , Nemchuk Oleksii , Lymarenko Oleksandr , Piterska Varvara , Sherstiuk Olha , Semenov Pavlo

Identyfikatory

DOI

10.29354/diag/176073

• Języki publikacji: EN

Abstrakty

EN

The procedure for taking into account shear and rotational inertia in the case of transverse vibrations of beam elements of material handling vehicles with different conditions of fastening (support) is considered. The dynamic model of the rod element is supplemented with compressive forces with a fixed line of action and monitors the angle of rotation of the rod. The Fourier method of separation of variables in the harmonic vibrations of beams is applied. This made it possible to obtain a differential equation, kinematic and static parameters in the amplitude state. The resulting differential equation is integrated, the fundamental functions are normalized, and the complete solution is presented in matrix form with initial parameters. Four cases of fundamental functions are revealed. For beam elements with different support conditions, the vibration frequency has been refined. With hinged support, the first 5 frequencies of this work coincide with the frequencies obtained by another approach.

Słowa kluczowe

EN

allowance forshear; allowance rotational inertia; Fourier method; separation of variables; determination of refined vibration frequencies; structural beam elements

• Wydawca: Polskie Towarzystwo Diagnostyki Technicznej
• Czasopismo: Diagnostyka
• Rocznik: 2024
• Tom: Vol. 25, No. 1
• Strony: art. no. 2024101
• Opis fizyczny: Bibliogr. 33 poz., rys., tab.

Twórcy

autor

Orobey Viktor

• National University "Odesa Polytechnic", Ukraine

autor

Nemchuk Oleksii

• Odesa National Maritime University, Ukraine

• https://orcid.org/0000-0001-5633-8930

autor

Lymarenko Oleksandr

• National University "Odesa Polytechnic", Ukraine

• https://orcid.org/0000-0002-3607-5253

autor

Piterska Varvara

• Odesa National Maritime University, Ukraine

• https://orcid.org/0000-0001-5849-9033

autor

Sherstiuk Olha

• Odesa National Maritime University, Ukraine

• https://orcid.org/0000-0002-0482-2656

autor

Semenov Pavlo

• Odesa National Maritime University, Ukraine

• https://orcid.org/0000-0003-4121-6011

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).