Dynamic stiffness approach and differential transformation for free vibration analysis of a moving Reddy-Bickford beam

Bozyiğit, Baran; Yeşilce, Yusuf

doi:10.12989/sem.2016.58.5.847

Cited by 11 publications

(6 citation statements)

References 33 publications

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“…Bozyigit et al introduced dynamic stiffness formulas and developed relevant models to comprehend the harmonic response of infill wall frames. The results demonstrated the effectiveness of the established model [10].…”

Section: Related Workmentioning

confidence: 64%

Incremental dynamic analysis method application in the seismic vulnerability of infilled wall frame structures

2024

J. vibroeng.

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To reasonably evaluate the overall seismic performance of infilled wall frames, a corresponding nonlinear analysis model is constructed with infilled wall frames as the research object. It quantifies the failure levels of structural and non-structural components and proposes a method for extracting structural overall performance indicators. The vulnerability of the case frame structure is analyzed using the Incremental Dynamic Analysis (IDA) method. The results showed that the seismic performance of the infilled wall frame and the ordinary frame met the seismic fortification requirements, and the seismic capacity of the infilled wall frame was better. After implementing a 7-degree seismic fortification, the cumulative probability of basic integrity, minor damage, and moderate damage for infill wall frames reached 99.15 %, surpassing the fortification target of 1.5 g. However, the seismic capacity of ordinary frames was overestimated, as their cumulative probability of basic intact, minor damage, and moderate damage under a 7-degree seismic fortification was 99.7 %. Neglecting its impact, ordinary frames exhibited lower seismic performance compared to other structures, with a basic intact probability of only 48.49 % under frequent earthquake actions at 7 degrees. The research utilizes effective methods for evaluating the seismic vulnerability of infilled wall frames.

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Section: Related Workmentioning

confidence: 64%

Incremental dynamic analysis method application in the seismic vulnerability of infilled wall frame structures

2024

J. vibroeng.

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“…The authors examined the effects of relative stiffness, stiffness ratio, and dimensionless axial force. Bozyigit and Yesilce (2016) investigated axially moving beams using the dynamic stiffness method (DSM) and DTM according to TSDT. They studied the effect of dimensionless axial speed and force for different boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of cracked beam based on Reddy beam theory by finite element method

Taima

El-Sayed

Shehab

et al. 2022

Journal of Vibration and Control

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The lateral vibration of cracked isotropic thick beams is investigated. Generally, the analysis of thick beam based on line elements can be undertaken using either Timoshenko beam theory or a third order beam theory (TSDT) such as Reddy beam theory. TSDT is superior to Timoshenko beam theory, as it eliminates the need for a shear correction coefficient. However, there is no available solution for a cracked beam based on Reddy beam theory which is the main focus of this paper. The investigated beam is divided into several elements where their stiffness and mass matrices are derived using Reddy beam theory. Each element has two nodes with 3 degrees of freedom (1 lateral and 2 rotational) at each node. The crack was modeled using two rotating springs with stiffnesses that varied with crack depth. These elements are used to connect the adjacent beam elements. The impact of boundary conditions, slenderness ratio, crack location, and crack depth are investigated. In addition, experimental and finite element analyses of cracked steel beams is undertaken to validate the results of the present model. The results show that the maximum deviation between the analytical and the experimental results is less than 3% up to the third mode shape.

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“…The DTM was first implemented by Zhou [15] to solve electrical circuit problems, and it is a practical and powerfully approach to solve linear and non-linear differential equations. Some researchers have successfully employed the DTM to conduct static and dynamic analyses of beam-column elements [e.g., [16][17][18][19][20][21][22], but, in general, its application to civil engineering related problems is limited when compared to other fields. The following conditions are incorporated in the proposed analysis: (a) a Pasternak two-parameter elastic foundation to account for the interaction between the springs; (b) an external transverse load acting on the element that fits a quadratic function.…”

Section: Introductionmentioning

confidence: 99%

Analysis of beam-column elements on non-homogeneous soil using the differential transformation method

Carvajal-Muñoz

Vega-Posada

Saldarriaga-Molina

2021

Rev.Fac.Ing.Univ.Antioquia

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This paper describes an analytical approach to conduct an analysis of beam-column elements with generalized end-boundary conditions on a homogeneous or non-homogeneous Pasternak elastic foundation. The mathematical formulation utilized herein is that presented by the senior author in a recent work. The differential equation (DE) governing the behavior of the beam-column element is solved using the differential transformation method (DTM). The DTM offers practical advantages over other conventional approaches when solving the proposed structural model. The proposed formulation provides the flexibility to account for i) combined lateral and axial load at the ends of the element, ii) homogeneous or non-homogeneous soil, iii) Pasternak elastic foundation, and iv) an external arbitrary transverse load acting on the element. The effects of various slenderness ratios, pile-soil stiffness ratios, and classical and semirigid boundary conditions can be easily studied with the proposed formulation. Examples are presented to validate the accuracy of the model and its applicability over a wide range of analyses.

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Dynamic stiffness approach and differential transformation for free vibration analysis of a moving Reddy-Bickford beam

Cited by 11 publications

References 33 publications

Incremental dynamic analysis method application in the seismic vulnerability of infilled wall frame structures

Incremental dynamic analysis method application in the seismic vulnerability of infilled wall frame structures

Vibration analysis of cracked beam based on Reddy beam theory by finite element method

Analysis of beam-column elements on non-homogeneous soil using the differential transformation method

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