Vibration analysis of a rectangular thin isotropic plate with a part-through surface crack of arbitrary orientation and position

Bose, Tanmoy; Mohanty, A.R.

doi:10.1016/j.jsv.2013.08.017

Cited by 58 publications

(34 citation statements)

References 15 publications

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“…Recently Ismail and Cartmell [21] developed an analytical model for vibration analysis of a cracked isotropic rectangular plate considering various angular orientation of a surface crack. More recently Bose and Mohanty [22] also considered arbitrary position and orientation of part through crack in a thin isotropic plate for vibration analysis and deduced that the orientation of crack affects the vibration characteristics of the plate. Huang and Chan [23] applied moving least squares interpolation functions in their application of the Ritz method for vibration of cracked plate.…”

Section: Introductionmentioning

confidence: 99%

Effect of thermal environment on free vibration of cracked rectangular plate: An analytical approach

Joshi

Jain

Ramtekkar

2015

Thin-Walled Structures

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Section: Introductionmentioning

confidence: 99%

Effect of thermal environment on free vibration of cracked rectangular plate: An analytical approach

Joshi

Jain

Ramtekkar

2015

Thin-Walled Structures

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“…Vibration of damaged 2D solids such as plates and shells was investigated in case of horizontal crack [5,6]. The oriented crack case was considered in [7,8] where the line spring model was adopted and the flexibilities were calculated based on fracture mechanics developments [9,10]. To the best of the authors' knowledge crack identification of plates is not well addressed as beams, hence Hilbert transform is investigated in this paper, where performed nonlinear forced responses are Hilbert transformed.…”

Section: Introductionmentioning

confidence: 99%

Crack identification based on the nonlinear response of plates with variably oriented surface crack.

et al. 2018

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Abstract. In order to secure structural and operational safety of structures, it is important to implement a structural health monitoring (SHM) strategy to issue early warnings on damage or deterioration prior to costly repair or even catastrophic collapse. Developing a SHM strategy for structures enables evaluating structural integrity, durability and reliability of the monitored structure. Hence, the main objective of this work is to develop a damage detection procedure based on a plate's dynamic response and the Hilbert transform. Rectangular plates are considered and assumed to contain a surface crack which is centrally located, with a depth of h 0 , a length of 2C and inclined with an angle β. Von Karman plate theory is adopted herein, and the crack is modeled through the line spring model given by fracture mechanics. The plate is assumed to behave nonlinearly due to large deformation. The differential quadrature method is used to investigate the linear and nonlinear dynamic behaviors of cracked plates. The influence of crack's parameters on modal properties is discussed. The eigenfrequencies of cracked plates with respect to crack half length C and orientation β are performed. For crack characterization, Hilbert transform is applied to the obtained linear and nonlinear time responses. It is shown throughout this paper that identified backbones describe changes in crack orientation.

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“…In this proposition, the free and forced vibration analyses of uniform and multipoints supported laminated rectangular plate resting on the Winkler and Pasternak foundations are studied in this paper. As we all know, there are many structural forms of plate in engineering applications, like stiffened plates [31][32][33][34], cracked rectangular plates [35][36][37][38], corroded plates [39][40][41][42][43], and so on. As the most common basic model, the rectangular plate structure is widely studied.…”

Section: Introductionmentioning

confidence: 99%

Free and Forced Vibration of the Moderately Thick Laminated Composite Rectangular Plate on Various Elastic Winkler and Pasternak Foundations

Shi

Zhang

Wang

et al. 2017

Shock and Vibration

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An improved Fourier series method (IFSM) is applied to study the free and forced vibration characteristics of the moderately thick laminated composite rectangular plates on the elastic Winkler or Pasternak foundations which have elastic uniform supports and multipoints supports. The formulation is based on the first-order shear deformation theory (FSDT) and combined with artificial virtual spring technology and the plate-foundation interaction by establishing the two-parameter foundation model. Under the framework of this paper, the displacement and rotation functions are expressed as a double Fourier cosine series and two supplementary functions which have no relations to boundary conditions. The Rayleigh-Ritz technique is applied to solve all the series expansion coefficients. The accuracy of the results obtained by the present method is validated by being compared with the results of literatures and Finite Element Method (FEM). In this paper, some results are obtained by analyzing the varying parameters, such as different boundary conditions, the number of layers and points, the spring stiffness parameters, and foundation parameters, which can provide a benchmark for the future research.

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Vibration analysis of a rectangular thin isotropic plate with a part-through surface crack of arbitrary orientation and position

Cited by 58 publications

References 15 publications

Effect of thermal environment on free vibration of cracked rectangular plate: An analytical approach

Effect of thermal environment on free vibration of cracked rectangular plate: An analytical approach

Crack identification based on the nonlinear response of plates with variably oriented surface crack.

Free and Forced Vibration of the Moderately Thick Laminated Composite Rectangular Plate on Various Elastic Winkler and Pasternak Foundations

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