Eigenfrequencies determination by hybrid stress finite element method

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

Abstrakty

EN

An application of hybrid stress method in studying the free vibrations of two-dimensional continuum in plane stress or plane strain problems by finite elements is investigated. The basis of the method is the assumed parametric stress field giving equilibrium of the internal forces inside the element area. The displacements on the element boundary are independent of the stress field and fully determined by the nodal displacements. The displacement field inside the element is independent of the assumed stress field and it is determined by parameters different than the assumed stress field parameters. Differentiating the assumed displacement field, a new stress field is obtained, which parameters are set to approach the assumed stress field by the least squares method.

Słowa kluczowe

EN

hybrid stress; eigenfrequency; finite element method

PL

naprężenie hybrydowe; częstotliwość drgań własnych; metoda elementów skończonych

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika
• Rocznik: 2010
• Tom: z. 80 [274]
• Strony: 33--38
• Opis fizyczny: Bibliogr. 6 poz., tab., rys., wykr.

Twórcy

autor

Bozduganova V.

autor

Todorov M.

• University of Rousse, Bułgaria

Bibliografia

• 1. Altenbach J., Todorov M.: Generalized variational principles and hybrid finite elements in elasticity. Dynamics and strength of machines, 32, Harkov, 1980 (in Russian).
• 2. Gallagher R. H.: Finite element analysis. Fundamentals. Prentice-Hall, Inc., New Jersey, 1975.
• 3. Pian T. H.: Some notes on the early history of hybrid stress finite element method. IJNME, 47, 419-425, 2000.
• 4. Todorov M.: Anwendung finiter hybrider Spannungselemente in der Elastostatik. Dissertation. TH Magdeburg, 1978 (in German).
• 5. Todorov M., Savova A.: Hybrid finite elements with stress functions, satisfying Beltrami-Michell differential equations. University of Russe, vol. 28, 11, 1986 (in Bulgarian).
• 6. Washizu K.: Variational methods in elasticity and plasticity. Pergamon Press, 1982.