Application of Timoshenko beam theory to the estimation of structural response

Kaya, Yavuz; Dowling, Jason

doi:10.1016/j.engstruct.2016.05.026

Cited by 9 publications

(2 citation statements)

References 10 publications

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“…The Timoshenko system has found broad applications in various engineering disciplines, such as civil, mechanical, and aerospace engineering, due to its ability to more accurately represent the physical behavior of elastic structures compared to classical models like the Euler-Bernoulli beam Equation (see [2][3][4][5][6][7]).…”

Section: Introductionmentioning

confidence: 99%

On a Singular Non local Fractional System Describing a Generalized Timoshenko System with Two Frictional Damping Terms

Mesloub

Alhefthi

2023

Fractal Fract

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This paper concerns a nonhomogeneous singular fractional order system, with two frictional damping terms. This system can be considered as a generalization of the so-called Timoshenko system. Results on the existence, uniqueness, and continuous dependence on the solution were obtained via an energy approach, which mainly relies on a priori bounds and density arguments. The approach relies on functional analysis tools and operator theory. Very few results concerning the well-posedness of fractional order Timoshenko systems can be found in the literature. Our results generalize and improve the previous ones and significantly boost the development of the used method.

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Section: Introductionmentioning

confidence: 99%

On a Singular Non local Fractional System Describing a Generalized Timoshenko System with Two Frictional Damping Terms

Mesloub

Alhefthi

2023

Fractal Fract

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“…The significance of shear deformations in elastic beams was first demonstrated by Timoshenko (1921) and Timoshenko beam theory can be considered as a first-order shear deformation theory (FSDT). Timoshenko beam theory is widely used for thick beams (Cheng et al, 2011; El-Sayed and Farghaly, 2018, 2020; El-Sayed and El-Mongy, 2021; Elsawaf et al, 2020; Farghaly and El-Sayed, 2016, 2017; Kaya and Dowling, 2016; Yardimoglu, 2010). In this case, a plane section again remains plane after deformation, as shown in Figure 1(c); however, the assumption that the plane remains perpendicular to the beam axis is relaxed.…”

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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Structural Health Monitoring: Real-Time Data Analysis and Damage Detection

Kaya

Şafak

2019

Seismic Structural Health Monitoring

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Application of Timoshenko beam theory to the estimation of structural response

Cited by 9 publications

References 10 publications

On a Singular Non local Fractional System Describing a Generalized Timoshenko System with Two Frictional Damping Terms

On a Singular Non local Fractional System Describing a Generalized Timoshenko System with Two Frictional Damping Terms

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

Structural Health Monitoring: Real-Time Data Analysis and Damage Detection

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