Finite Element Modelling and Analysis of Free Vibration of a Square Plate with Side Crack

Azam, Mohammad Sikandar; Ranjan, Vinayak; Kumar, Bipin

doi:10.1007/s12591-015-0241-2

Cited by 4 publications

(2 citation statements)

References 15 publications

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“…The displacement of the points in the segmentation unit represents the node displacement. In the rectangular element, the equation can be obtained according to the displacement mode and the node displacement equation (Azam et al, 2015):…”

Section: Thin Plate Acoustic Vibration Theory Based On Fi Nite Element Analysismentioning

confidence: 99%

Identification and detection of a void under highway cement concrete pavement slabs based on finite element analysis

Zhang

Ren

2019

MGPB

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For a city, the construction of a road is related to the development of economy, and the construction of a road includes maintenance of the road. Cement roads have been popularized in road construction due to their low construction cost and high strength, but at the same time, road problems have arisen. In order to solve and prevent the problem of voids under highway cement concrete pavement slabs, the acoustic vibration method was used for the detection of voids under highway cement concrete pavement slabs. This method was brieﬂy introduced and analysed with ﬁnite element analysis. Then, excitation equipment and ABAQUS software were used to perform instance analysis on the section from K08-000 to K09-000 of G325 National Road. The results showed that there were three situations, including a mild void, normal void and serious void. The degree of abrupt change of the peak amplitude of the acoustic vibration characteristic curve increased with an increase in the severity of the void under the highway cement concrete pavement slabs. The void area was obtained through calculation of the sound pressure characteristic curve data based on the ﬁnite element model, with an error between 17.0 and 21.9%. However, in road maintenance projects, this error is acceptable. In summary, the acoustic vibration method based on ﬁnite element analysis can eﬀectively detect the position of a void under highway cement concrete pavement slabs and estimate the area.

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Section: Thin Plate Acoustic Vibration Theory Based On Fi Nite Element Analysismentioning

confidence: 99%

Identification and detection of a void under highway cement concrete pavement slabs based on finite element analysis

Zhang

Ren

2019

MGPB

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“…The effects of location and orientation of the cracks on the vibration characteristic are studied. Azam et al [19] proposed a FEM model to analyze the vibration of a square plate with side crack. Bhardwaj et al [20] used the extended isogeometric analysis to simulate the cracked functionally graded material palates.…”

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of Plate with Irregular Cracks by Differential Quadrature Finite Element Method

Xu¹,

Chen²

2017

Shock and Vibration

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A universal method combining the differential quadrature finite element method with the virtual spring technique for analyzing the free vibration of thin plate with irregular cracks is proposed. Translational and rotational springs are introduced to restrain the vertical displacement and orientation of the plate. The mass matrix and stiffness matrix for each element are deduced involving the effects of the virtual springs. The connection relationships between elements can be modified by setting the stiffness of the virtual springs. The vibration of two rectangular plates with three irregular shaped cracks and different boundary conditions are presented. The results are compared with those obtained by ANSYS, where the good agreement between the results validates the accuracy and efficiency of the present method.

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An Investigation into the Free Vibration of Intact and Cracked FGM Plates

Shehab,

Taima,

Sayed

et al. 2023

J Fail. Anal. and Preven.

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In this study, the linear free vibration of intact and cracked functionally graded material plates is investigated numerically and experimentally. The experimental work is limited to the isotropic materials. The numerical work is based on finite element, where a code is developed to obtain the natural frequencies of intact plates based on the first-order shear deformation theory (FSDT) using MATLAB software. Also, a model of through-cracked FGM plate is developed using ANSYS Workbench with the help of APDL coding. The material properties of the plates under study are graded in one, two, and three directions. The novelty of this study emerges through its examination of the synergistic impacts resulting from variations in FGM material properties, crack length, crack orientation, and crack location. These effects are comprehensively discussed in the results section. The result of the present model shows that the use of three-directional FGM reduces the natural frequency compared with the other cases of two-directional and unidirectional FGM. Also, the results show that the effect of FGM gradient on the frequency of intact and cracked plate is high when the gradient index $$n < 3 .$$ n < 3 . The present paper results are useful for the design of FGM plates especially when cracks exist.

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Finite Element Modelling and Analysis of Free Vibration of a Square Plate with Side Crack

Cited by 4 publications

References 15 publications

Identification and detection of a void under highway cement concrete pavement slabs based on finite element analysis

Identification and detection of a void under highway cement concrete pavement slabs based on finite element analysis

Vibration Analysis of Plate with Irregular Cracks by Differential Quadrature Finite Element Method

An Investigation into the Free Vibration of Intact and Cracked FGM Plates

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