Free vibration analysis of thin-walled frames with use of node superelements

• Autorzy: Mikulski T. , Szymczak C.
• Konferencja: Symposium Vibrations In Physical Systems (23 ; 28-31.05.2008 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The paper deals with free vibration analysis of frames made of thin-walled members. The investigations are based upon assumptions of classical theory of thin-walled beams of non-deformable cross-section. The warping effects are included into the consideration. It should be observed that in the vicinity of the nodes the stresses and deformations are in inconsistency with these assumptions. To take into account these inconsistencies the stiffness and mass matrices of nodes necessary in the finite element method applied are determined with aid of the superelement concept. Some numerical examples related to the frame made of I-beams are presented. The frequencies and modes of free vibration determined by the method proposed are show and compared with results of the analysis carried out by the system NASTRAN and with aid of the classical frame model without the warping effect.

Słowa kluczowe

EN

free vibrations; thin-walled frames; finite element analysis

PL

drgania swobodne; ramy cienkościenne; analiza elementów skończonych

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2008
• Tom: Vol. 23
• Strony: 265--270
• Opis fizyczny: Bibliogr. 5 poz., il., wykr.

Twórcy

autor

Mikulski T.

• Gdansk University of Technology, 80-952 Gdańsk, ul. Narutowicza 11/12

autor

Szymczak C.

• Gdansk University of Technology, 80-952 Gdańsk, ul. Narutowicza 11/12

Bibliografia

• 1. V. Z. Vlasov, Thin-walled elastic beams, Fizmatgiz, Moscow 1959, (in Russian).
• 2. R. Borsoum, R. H. Gallagher, Finite element analysis of torsional and torsional-flexural stability problems, Int. J. Numer. Methods Engng., 2 (1970) 335-352.
• 3. C. Szymczak, Torsional vibration of thin-walled bars with bisymmetric crosssection, Engng. Transactions, 26, (1978) 267-274 (in Polish).
• 4. C. Szymczak, Torsional buckling of thin-walled beams of bisymmetric open cross-section, Engng. Transactions, 26, (1978) 323-330 (in Polish).
• 5. MSC Nastran for Windows, Version 2001, MSC Software Corporation, Los Angeles US.