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Öğe A method for calculation of lateral displacements of buildings under distributed loads(2023) Ozturk, Duygu; Bozdogan, Kanat Burak; Aydın, SuleymanLateral displacement is a vary important parameter that we need to calculate when structures are subjected to lateral loads like earthquake and wind loads. In this study, a method is proposed for lateral displacement calculation of structures with different structural systems in different planes. This method is based on the continuum system calculation model. The method suggested in the literature for only top displacement in the case of uniform loading, is developed in this study for the calculation of displacements at each storey level and also in both uniform and triangular loading conditions. At the end of the study, twenty-eight storey building with shear wall-frame bearing system, which was taken from the literature, was solved with the presented method and Finite Element Method. The shear walls were modelled with three different element types for the analysis with the Finite Element Method with structural engineering program used. The results, obtained from the Continuum Method and Finite Element Method were presented in tables and by figures. Thus, the compatibility of the proposed method with the classical Finite Element Method was investigated. From the compared results of the method and the literature or finite element models it was seen that the method used for the case of uniform or triangular distributed loading gives very close results.Öğe A Method for Determination of Moment Contribution Ratio under Foundation Rotation in Shear Wall-Frame Systems(Mdpi, 2024) Bozdogan, Kanat Burak; Keskin, ErdincIn shear wall-frame systems, the foundation rotation that may occur under the shear walls changes the displacements and interstory drift ratios and changes the internal force distribution. This study investigates the effect of foundation rotations under shear walls on internal force distribution in shear-frame systems. The originality of the study lies in considering parabolic loads and dynamic analysis (first mode), in addition to static uniform or triangular distributed loads, when determining the shear wall moment contribution ratio under the influence of foundation rotation. The shear wall contribution ratio, a key parameter in many earthquake codes, is defined as the ratio of the sum of bending moments taken by the shear walls at the base to the overturning moment. It plays a crucial role in determining the building's behavior. Depending on this ratio, the load-reduction coefficient is changed. This study investigates the effect of foundation rotation on the moment distribution at the base for three different static load cases and the first mode in the dynamic analysis. The multi-story building is modeled as an equivalent sandwich beam. The moment contribution ratio (MCR) was calculated with the help of analytical solutions of the differential equations written for three different load cases in static conditions, and graphs were created for practical use directly calculating the MCR. In the methodology of the study, the initial step involves the calculation of the equivalent sandwich beam stiffness parameters and the foundational rotational spring. Subsequent to these calculations, the MCR values can be directly obtained with the help of graphs. This approach facilitates the rapid and practical determination of the MCR and can be used in the preliminary sizing phase to eliminate possible errors in the data entry of software that performs detailed analysis. In addition, in the presented study, it has been shown that taking a single mode into account is sufficient when calculating MCR values in dynamic analysis.Öğe A Method for Determination of the Fundamental Period of Layered Soil Profiles(Shahid Chamran Univ Ahvaz, Iran, 2017) Ozturk, Duygu; Bozdogan, Kanat BurakIn this study, a method is proposed to determine the fundamental period of layered soil profiles. A model considering the layered soil as shear type structure is used. At first, the soil profile is divided into substructures. Then, the stiffness matrices of the substructures considered as the equivalent shear structures are assembled according to the Finite Element Method. Thereinafter, the stiffness matrices of the substructures are transformed into the Modified Finite Element Transfer Matrices, which take part in the literature. Finally, the system matrix is assembled using matrices of the substructures. The proposed method provides reduction in the size of the matrix. Therefore, analysis time is remarkably reduced. At the end of the study, the accuracy of the method is presented by the examples. Consequently, the proposed method offers a practical method for determination of the fundamental period of the soil.Öğe A Method for Determining the Fundamental Site Period and the Average Shear Wave Velocity(World Scientific Publ Co Pte Ltd, 2024) Bozdogan, Kanat Burak; Keskin, ErdincThe soil-structure interaction plays a crucial role in determining the displacement and internal forces of multi-story buildings subjected to strong ground motion. One of the critical dynamic characteristics influencing soil-structure interaction is the fundamental site period and the average shear wave velocity associated with it. This study introduces an original equation to determine these parameters. In addition, for the first time in the literature, the version of the Rayleigh method used for finding the fundamental periods of buildings is used to find the fundamental site period. The soil is modeled as an equivalent shear beam to obtain the proposed equation. The peak displacement is obtained by acting the soil mass as an external load on the equivalent shear beam. For single-layer soil, the fundamental site period is proportional to the square root of the peak displacement of the equivalent shear beam. The least squares method generalizes the proposed relation for single-layer soils to multi-layer soil profiles. Modified Finite element Transfer matrix method is used for calibration in the least squares method. The equations used in the literature and earthquake codes for determining the fundamental site period and average shear velocity are tested on various examples, and it is shown that the method proposed in this study, along with the Rayleigh method, gives better results than these equations. The performances of these two methods and the five commonly used equations are tested and compared on different soil profiles. Transfer functions, Finite Element Method (SAP200) and Modified Finite Element Transfer Matrix Method are used for verification. For all soil profiles, the results obtained from the transfer function, Finite Element Method (SAP200) and Modified Finite Element Transfer Matrix Method are found to be in agreement. The true percent relative error found in the results obtained with the proposed method is 4.47%.Öğe A method for dynamic analysis of frame-hinged shear wall structures(Techno-Press, 2016) Bozdogan, Kanat Burak; Ozturk, DuyguStructures with soft story irregularity have been seriously damaged in earthquakes. Therefore, the analysis of dynamic behavior of structures with soft story irregularity is of great value and relevance. In this study, a certain method will be used to discover the displacements and internal forces and to find out results about soft story irregularity. For this study, the multi-story frame-hinged shear wall system has been used as a model according to the continuous calculation system. The dynamic characteristics of the system have been obtained by analyzing the governing differential equation of the system. The dynamic characteristics have been calculated for a practical and quick analysis as indicated in tables. The suggested method is wholly based on manual calculation. A spectral analysis can be easily conducted with the help of Tables provided by this study. A sample has been solved and compared to the finite elements method to study the suitability of the method suggested at the end of this study.Öğe A Practical Method for Determining Dynamic Characteristics of Buildings Under the Effect of Foundation Rotations(World Scientific Publ Co Pte Ltd, 2024) Bozdogan, Kanat Burak; Keskin, Erdinc; Ozturk, DuyguIn multi-storey buildings, unforeseen foundation rotations can change the building's behavior. Therefore, these effects should be taken into account in the analysis. In the studies conducted in the literature, the impact of the rotation of the foundation on the building behavior under static loads has been investigated. In this study, an approach is proposed to determine the dynamic behavior of buildings under the effect of foundation rotation, regardless of the type of bearing system. The multi-storey building was modeled as an equivalent flexural-shear beam in the study. In the study, the axial displacements of the columns, which are neglected in the flexural-shear beam model, are also considered, which is different from the literature. The equation of motion representing the dynamic analysis of the equivalent flexural-shear beam was solved with the help of the Differential Transform Method. The period coefficients, effective mass ratio and peak displacement coefficient for five cases were determined and plotted. A code was prepared using Matlab for the analysis with the Differential Transform Method. As a result of the study, the dynamic characteristics obtained depending on the dimensionless building behavior coefficient have been graphed. Using the given graphs, the dynamic characteristics of the buildings under the effect of foundation rotation can be determined quickly and practically. The method presented in this study can be used for Response spectrum analysis of all systems with pure shear beam, pure bending beam and bending-shear beam behavior. In addition, an approach has been proposed to consider P - Delta effects within the scope of the study. The results obtained in the study were interpreted, and the impact of rotation on dynamic characteristics was discussed. At the end of the study, for the convenience of the presented method, two examples, one for wall-frame and the other for frame systems, were solved with the proposed method, and the results were compared with the SAP2000 program.Öğe An approach for dynamic analysis of steel plate shear wall systems(Croatian Association of Civil Engineers, 2021) Güngör, Yasin; Bozdogan, Kanat BurakIn this paper, the Timoshenko beam model (continuous system model) is originally adapted for dynamic analysis of steel plate shear wall (SPSW) systems. Dynamic characteristics for the first three modes are found by solving differential equation of the equivalent Timoshenko beam model using the differential transformation method. Dynamic characteristics are tabulated for quick and practical calculation. With the help of the dynamic characteristics, the response spectrum analysis of such buildings is performed. Using the approach developed in this study, it is possible to calculate not only natural periods, but also the base shear force, maximum storey displacement, and maximum storey drift ratio. The differential transformation method is used in this study for solving the differential equation written according to the continuous system calculation model. To investigate the suitability of the method presented in the study, an example taken from the literature is solved and the results are evaluated. The results show that the method presented can be used in the preliminary design stage.Öğe Assessment of Soil-Structure Interaction in Reinforced Concrete Buildings Based on Structure to Soil Stiffness Ratio(Afet ve Acil Durum Yonetimi Baskanligi (AFAD), 2023) Ozgur, Mehmet; Bozdogan, Kanat BurakSoil-structure interaction (SSI) results in higher structural damping ratio and elongated fundamental natural period of the building. Generally, these modifications on dynamic properties of the building are regarded to be favorable for dynamic response and SSI is neglected in most of the design codes. However, extensive research points out that neglecting the role of SSI can be a misconception that lead an unsafe design by underestimating the rotational ductility demand and top displacement of the building. Therefore, it is essential to determine if SSI is expected to be significant for safe design of the buildings. In this study, the significance of SSI in design is assessed with the help of the structure to soil stiffness ratio that is considered as the most important parameter controlling the period elongation. Stiffness ratio is determined for buildings with moment-resisting frames and varying number of storeys resting on different soil conditions and a threshold of 0.1 is assumed as the critical value that yields a period elongation of 5%. It is shown that, SSI should be taken into account for buildings founded on site classes ZE, ZD and ZC and can be neglected for site classes ZB and ZA. © 2023 The Author(s).Öğe CALCULATING THE FUNDAMENTAL NATURAL FREQUENCY OF RETAINING WALLS, INCLUDING SHEAR-DEFORMATION EFFECT(Univ Maribor, 2022) Bozdogan, Kanat Burak; Mahmudi, MuhammedIn this study, two analytical approaches were proposed to determine the fundamental natural frequencies of retaining walls. In the first method, the soil effect is taken into consideration with springs, while in the second method, the soil effect is considered as a continuous medium. Fopl Papkovich and Southwell's theorems and the Rayleigh method were used to obtain the presented approaches. It was assumed that the change of the inertial moment and the cross-sectional area can be expressed with an exponential function. In contrast to the analytical methods in the literature, shear deformations in the retaining wall are also taken into account in the presented methods. In the second method presented in the study, Southwell's theorem was originally used for the interaction of the retaining wall with the soil.With the methods presented in the study, the fundamental natural frequency of the retaining wall can be determined practically with the help of created tables. At the end of the definition of the method, to determine the suitability of the approaches, an example from the literature was solved and the results were evaluated together. The example discussed in the study was also modeled with SAP2000. The results show that the methods presented in this study give results closer to the Abaqus results compared to the method in the literature. Considering the shear deformations in the retaining wall in the methods presented in this study is the main reason for this.Öğe Determination of Dynamic Characteristics of Tower Type Structures: The Case of Kirklareli Hizirbey Mosque Minaret(Gazi Univ, 2020) Kilic, Ismail; Bozdogan, Kanat Burak; Aydin, Suleyman; Gok, Saadet Gokce; Gundogan, SafiyeSeismic behavior of the structures is determined by using various dynamic parameters. The parameters are obtained depending on the existing structural characteristics of the structures, material properties, boundary conditions and damage condition. Modal analysis is a method used in civil engineering to solve complex structural dynamic problems. Minaret structures, because they are long and thin masonry structures, are sensitive to seismic effects. Due to its slenderness effect, significant damage to the structures occurs in severe earthquakes. In this study, linear dynamic analysis of the minaret of Hizirbey Mosque, which was built in 13 83 at Kirklareli, was performed. The mosque is a restored structure, by using structural restoration report of the mosque, the dimensions of the minaret were determined. Studies on the stone-based construction material used on the walls of the structure, were carried out and material properties were determined. Due to the historical value of the mosque, nondestructive testing methods were used and modulus of elasticity of the material was obtained. The dynamic analysis of the minaret was performed in SAP2000 software by using mode superposition method in Turkish Earthquake Codes (TEC 2007 and TEC 2018). Furthermore, the minaret was modelled with prismatic frame elements and obtained results were compared to the results of shell element modeling. Within the scope of this study, an approach based on the Rayleigh method was proposed for the analytical evaluation of the fundamental period of the minaret. At the end of the study, it is seen that the force and displacement obtained according to the TEC 2018 is greater than TEC 2007. In addition, it was observed that modeling with frame elements gave close values to modeling with shell element. The fundamental period of the minaret with the Rayleigh method proposed in the study was found very close to the result obtained by the finite element method.Öğe Determination of the Dynamic Characteristics of Frame Structures with Non-uniform Shear Stiffness(Springer International Publishing Ag, 2020) Ozturk, Duygu; Bozdogan, Kanat BurakStructures consisting of frames can be considered as shear structures under certain assumptions. The frame can be idealized as an equivalent shear beam in this case. In this study, the dynamic characteristics of non-uniform frames were investigated. For this purpose, the method of differential transform was used to solve the governing differential equation of the equivalent shear beam. This shear beam represented the structure of which shear stiffness varies along the height. In this study, the contribution of the axial deformation was taken into account with the help of equivalent shear stiffness. The least squares method was used in order to determine the parameter that defines the change of the shear stiffness. Thus, the dynamic characteristics were determined more realistically. Tables were prepared for use for the determination of the dynamic characteristics of frame structures with non-uniform shear stiffness. Response spectrum analysis can be easily conducted using these tables. The suitability of the approach was investigated through examples at the end part of the study. The suggested method could be used safely during the preliminary design stage. It is particularly easy to understand the structural behavior due to the usage of fewer parameters.Öğe Free Vibration Analysis of Frame Systems with Soil Structure Interaction(Gazi Univ, 2020) Kara, Dondu; Bozdogan, Kanat Burak; Keskin, ErdincIn this study, the change of periods of planar frames by considering the soil-structure interaction is examined. For this aim, 5 different soil classes which representing in Turkey seismic code are considered. In this study, the suitability of using simplified methods for free vibration analysis of structure-soil interaction was investigated. Free vibration analysis of a typical frame system was carried out with four different approaches for five different soil classes and the results were compared. In the first model, the soil was modeled with shell elements using SAP2000 software. In the second model, SAP2000 was used again, but the soil was represented by equivalent columns. In the third model, the frame and shell are modeled with the equivalent shear beam approach. Lateral stiffness matrices and mass matrices of this model were created by the help of SCILAB software and periods were obtained. The fourth model is based on the assumption that the structure and soil are uniform throughout the building height and soil layers.In the fourth model, a practical equation in the literature was applied to the sample and the natural vibration periods were obtained for five different soil classes. At the end of the study, the results were evaluated.Öğe Static, Dynamic and Stability Analysis of Tall Buildings by the Transfer Matrix Method Using Replacement Timoshenko Beam(Springer Int Publ Ag, 2024) Cruz, Mao Cristian Pinto; Bozdogan, Kanat BurakIn this study, an approach is proposed for the analysis of structures that can be represented by the Timoshenko beam model. In this study, the Transfer matrix method, which has been previously developed in the literature for static, dynamic and stability analysis of all types of multi-story buildings, is formulated in this study specifically for the analysis of symmetric buildings consisting of only shear walls or only frames, which can be represented behaviorally as Timoshenko beams. The size of the Transfer matrix, which is 6*6 in the literature by considering all effects in the symmetric state, is obtained as 4*4 due to the characteristics of the systems considered in this study. In the study, firstly, the differential equation system and boundary conditions representing the Timoshenko beam model were obtained in accordance with Hamilton's principle. Then, the element Transfer matrix was obtained by solving the obtained differential equation system. With the presented approach, both static, dynamic and stability analysis can be performed. The most important advantage of the presented method is that the sizes of the matrices used in the analyses are small. With the Transfer matrix method, the size of both the element and the system Transfer matrix is 4*4. At the end of the study, to show the suitability of the presented method with the finite element method, two examples, one consisting of pure walls and the other consisting of pure frames, were solved with the presented approach and the results were evaluated.