Static and Dynamic Analysis of Cracked Concrete Beams Using Experimental Study and Finite Element Analysis

Abstract

Abstract

Thermal vibration analysis of cracked nanobeams embedded in an elastic matrix using finite element analysis

“…2. The assembled stiffness matrix for this kind of element has the form [53]: where and ), refer to elements of the stiffness matrices for the portions of the beam ( , = 1:4 A and the beam B, which are coupled by a torsional spring with stiffness .…”

Finite Element Calculation of Eccentrically Compressed Rods of Reinforced Concrete Structures in Engineering Structures Design

“…Чисельне моделювання напруженодеформованого стану конструкцій виконано в системі NASTRAN. Ця програма скінченноелементного аналізу визнана лідером у даному напрямку завдяки повному огляду явищ різної фізичної природи досліджуваних матеріалів [6,9]. Використовувалася учбова демо-версія SDRC-FEMAP 8/1a S/N 000-00-00-DEMO-406F-00000000.…”

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

“…The crack depth and location affect the properties of a structure including the natural frequency, the vibration response amplitude, and the mode shape. These changes in the structure dynamical properties can be easily measured, and therefore, a number of papers have focused on the analysis of cracked beams (Ahmed and Uddin, 2019; Aria et al, 2019; Banerjee and Guo, 2009; Ebrahimi et al, 2005; Farghaly, 1994; Kim et al, 2018; Kisa et al, 1998; Labib et al, 2014; Loya et al, 2009; Mazaheri et al, 2018; Torabi and Nafar Dastgerdi, 2012; Yamuna and Sambasivarao, 2014; Yang et al, 2015; Yendhe et al, 2016) and this is also the aim of this paper.…”

“…Yang et al (2015) investigated the free vibration of rectangular cracked Bernoulli-Euler beam made of functionally graded materials (FGMs) using the transfer matrix method (TMM). Much research work considers the free vibration analysis of cracked beams using Bernoulli-Euler (Aria et al, 2019; Banerjee and Guo, 2009; Labib et al, 2014; Loya et al, 2009; Mazaheri et al, 2018) and Timoshenko (Farghaly, 1994; Kisa et al, 1998; Torabi and Nafar Dastgerdi, 2012) theories, leading to the conclusion that the presence of a crack reduces the natural frequency of vibration. Also, a number of papers have investigated the free vibration of discontinuous beams and frames without subdivision into sub-elements, which restricted the degrees of freedom to the overall system.…”