A multimode approach to geometrically non-linear forced vibration of beams carrying point masses

• Autorzy: Fakhreddine Hatim , Adri Ahmed , Chajdi Mohcine , Rifai Said , Benamar Rhali

Identyfikatory

DOI

10.29354/diag/128603

• Języki publikacji: EN

Abstrakty

EN

The present work deals with the geometrically non-linear forced vibrations of beams carrying a concentric mass under different end conditions. Considering the axial strain energy and expanding the transverse displacement in the form of a finite series of spatial functions, the application of Hamilton's principle reduces the vibration problem to a non-linear algebraic system solved by an approximate method developed previously. In order to validate the approach, comparisons are made of the present solutions with those previously obtained by the finite element method. Focus is made here on the analysis of the non-linear stress distribution in the beam with an attached mass. The non-linear forced deflection shapes and their corresponding curvatures are presented for different magnitudes of the attached mass, different excitation levels and different vibration amplitudes.

Słowa kluczowe

EN

geometrical non-linearity; forced vibrations; multimode approach; stress distribution; point mass

PL

nieliniowość geometryczna; drgania wymuszone; rozkład naprężeń

• Wydawca: Polskie Towarzystwo Diagnostyki Technicznej
• Czasopismo: Diagnostyka
• Rocznik: 2020
• Tom: Vol. 21, No. 4
• Strony: 23--33
• Opis fizyczny: Bibliogr. 52 poz., rys., tab.

Twórcy

autor

Fakhreddine Hatim

• Hassan II University of Casablanca, EST, LMPGI, B.P.8012, Oasis Casablanca, Morocco

autor

Adri Ahmed

• Hassan II University of Casablanca, EST, LMPGI, B.P.8012, Oasis Casablanca, Morocco

autor

Chajdi Mohcine

• Mohammed V University in Rabat, ENSET - Rabat, MSSM, B.P.6207, Rabat, Morocco

autor

Rifai Said

• Hassan II University of Casablanca, EST, LMPGI, B.P.8012, Oasis Casablanca, Morocco

autor

Benamar Rhali

• Mohammed V University in Rabat, EMI-Rabat, LERSIM, Agdal, B.P. 765, Rabat, Morocco

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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 (2021).