Computation of plane structures eigenfrequencies by hybrid finite element method using Trefftz functions

• Autorzy: Bozduganova V. , Todorov M.
• Języki publikacji: EN

Abstrakty

EN

A hybrid stress method for eigenfrequencies analysis is developed using a plane rectangular hybrid element. Complex Trefftz functions which are solutions of elastostatic problem are used. By the complementary energy variational equation a relationship between the stress parameters and the nodal displacements is obtained. The Lagrange's variational equation for the dynamic case gives an expression for computation of eigenfrequencies.

Słowa kluczowe

EN

hybrid stress; eigenfrequency; computations; finite element method; Trefftz functions

PL

naprężenie hybrydowe; częstotliwość drgań własnych; obliczenia; metoda elementów skończonych; funkcje Trefftza

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika
• Rocznik: 2010
• Tom: z. 80 [274]
• Strony: 25--32
• Opis fizyczny: Bibliogr. 12 poz., tab., wykr.

Twórcy

autor

Bozduganova V.

autor

Todorov M.

• University of Rousse, Bułgaria

Bibliografia

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• 6. Jirousek J., Zieliński A.P.: Survey of Trefftz-type element formulations. Comp.&Str., 63, No 2, 225-242, 1997.
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• 8. Przemieniecki J.S.: Theory of matrix structural analysis. McGraw-Hill, New York, 1968.
• 9. Pian T.H.H.: Derivation of element stiffness matrices by assumed stress distributions. AIAA J., 2, 1333-36, 1964.
• 10. Pilkey W.D., Fergusson N.J.: Some characteristics of frequency-dependent structural matrices. Comp.&Str., 35, No 4, 413-416, 1990.
• 11. Rozin L.A.: Variational formulations of elastic structure problems. Leningrad, 1978 (in Russian).
• 12. Washizu K.: Variational methods in elasticity and plasticity. Pergamon Press, 1982.