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Browsing by Author "Acikgoz,S."

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    Dynamic response of single and multi-span beams under a moving load using dynamic stiffness formulations and Galerkin's method
    (European Association for Structural Dynamics, 2020) Bozyigit,B.; Acikgoz,S.; Yesilce,Y.
    This paper is concerned with the dynamic response analysis of single and multi-span beams under moving point loads. The Dynamic Stiffness Method (DSM) is used to calculate the mode frequencies and shapes of single, two and four-span Bernoulli-Euler beams. The exact mode shapes obtained from dynamic stiffness formulations are used to derive generalized mass, stiffness and force terms for normal modes using Galerkin 's method. This enables efficient and accurate calculation of the time-history response of the investigated structures. This is demonstrated by comparing the results from this study with advanced finite element simulations of the same problem from the literature. The results validate the accuracy of this approach and demonstrate how this technique can be used to model dynamic amplification of bridges under the influence of moving loads. © 2020 European Association for Structural Dynamics. All rights reserved.
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    Free vibration analysis of arch-frames using the dynamic stiffness approach
    (EXTRICA, 2020) Bozyigit,B.; Yesilce,Y.; Acikgoz,S.
    The aim of this study is to investigate free vibration characteristics of arch-frames which consist of two columns and an arch. Firstly, an exact formulation of the problem is presented using the Dynamic Stiffness Method (DSM). The end forces and displacements of column elements are obtained analytically using Timoshenko beam theory (TBT). These are then combined with the end forces and displacements of the semi-circular arch, which is modeled with exact curved beam elements that consider axial and shear deformations and rotational inertia. By employing standard assembly and bisection based root finding procedures, exact free vibration analysis of the whole vibrating system is carried out. Then, in an effort to simplify the formulations, an approach based on approximating the arch as assembly of linear straight beam segments is presented. The calculated natural frequencies using DSM for both exact and approximate results are then tabulated for comparison purposes. The mode shapes are also compared. The results show that the proposed model simplification is effective and produces accurate mode frequency and shape estimations. © 2020 Baran Bozyigit, et al.