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        Determination of the Vlasov foundation parameters -quadratic variation of elasticity modulus- using FE analysis

        Celik, Mecit,Omurtag, Mehmet H. Techno-Press 2005 Structural Engineering and Mechanics, An Int'l Jou Vol.19 No.6

        The objective of this research was to determine the Vlasov soil parameters for quadratically varying elasticity modulus $E_s$(z) of the compressible soil continuum and discuss the interaction affect between two close plates. Interaction problem carried on for uniformly distributed load carrying plates. Plate region was simulated by Kirchhoff plate theory based (mixed or displacement type) 2D elements and the foundation continuum was simulated by displacement type 2D elements. At the contact region, plate and foundation elements were geometrically coupled with each other. In this study the necessary formulas for the Vlasov parameters were derived when Young's modulus of the soil continuum was varying as a quadratic function of z-coordinate through the depth of the foundation. In the examples, first the elements and the iterative FE algorithm was verified and later the results of quadratic variation of $E_s$(z) were compared with the previous examples in order to discuss the general behavior. As a final example two plates close to each other resting on elastic foundation were handled to see their interaction influences on the Vlasov foundation parameters. Original examples were solved using both mixed and displacement type plate elements in order to confirm the results.

      • KCI등재

        Determination of the Vlasov foundation parameters - quadratic variation of elasticity modulus - using FE analysis

        Mecit Celik,Mehmet H. Omurtag 국제구조공학회 2005 Structural Engineering and Mechanics, An Int'l Jou Vol.19 No.6

        The objective of this research was to determine the Vlasov soil parameters for quadraticallyvarying elasticity modulus Es(z) of the compresible soil continuum and discuss the interaction affectbetween two close plates. Interaction problem carried on for uniformly distributed load carrying plates.Plate region was simulated by Kirchhof plate theory based (mixed or displacement type) 2D elementsand the foundation continuum was simulated by displacement type 2D elements. At the contact region,plate and foundation elements were geometrically coupled with each other. In this study the necessaryformulas for the Vlasov parameters were derived when Youngs modulus of the soil continuum wasvarying as a quadratic function of z-coordinate through the depth of the foundation. In the examples, firstEs(z) were compared with the previous examples in order to discuss the general behavior. As a finalexample two plates close to each other resting on elastic foundation were handled to see their interactioninfluences on the Vlasov foundation parameters. Original examples were solved using both mixed and displacement type plate elements in order to confirm the results.

      • KCI등재

        Dynamic analysis of helicoidal bars with non-circular cross-sections via mixed FEM

        Nihal Eratlı,Murat Yılmaz,Kutlu Darılmaz,Mehmet H. Omurtag 국제구조공학회 2016 Structural Engineering and Mechanics, An Int'l Jou Vol.57 No.2

        One of the objectives of this study is to implement the direct calculation of the torsional moment of inertia for non-circular cross-sections, which is based on the St. Venant torsion formulation and the finite element method. Recently the proposed method provides a unique calculation of the torsional rigidity of simply and multiply connected cross-sections. Next, free vibration analyses of cylindrical and non-cylindrical helices with non-circular cross-sections are solved by a curved two-nodded mixed finite element based on the Timoshenko beam theory. Some thin-thick closed or open sections are handled and the natural frequencies of cylindrical and non-cylindrical helices are compared with the literature and the commercial finite element program SAP2000.

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