Application of the DSC-Element method to flexural vibration of skew plates with continuous and discontinuous boundaries

Lai, Shih-Kung; Zhou, Li; Zhang, Yingyan; Xiang, Yang

doi:10.1016/j.tws.2011.03.019

Cited by 6 publications

(4 citation statements)

References 40 publications

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“…Studies on skew plates were reported by various researchers like Lee 27 who focussed on dynamic stability of laminated composite skew plates based on higher-order shear deformation theory. The effectiveness and reliability of the DSC-Element approach for oblique plates with big skew angles were studied by Lai et al 28 The effects of skew angles, aspect ratios, fibre orientation angles and laminate stacking sequences on natural frequencies of antisymmetric laminated composite skew plates were studied by Srinivasa et al 29 Naghsh and Azhari 30 examined large amplitude free vibration of point supported laminated composite skew plates employing element-free Galerkin method based on von-Kármán’s assumptions. The free vibration characteristics of parallelogram shaped laminated thin plates under multi-point supported elastic boundary using an improved Fourier series method were studied by Xie et al 31 Narwariya et al 32 presented the harmonic behaviour of laminated composite skew plates using symmetric and anti-symmetric layer configurations.…”

Section: Introductionmentioning

confidence: 99%

Progressive failure prediction of laminated composite thin skew plates under transverse loading using nonlinear strains

Chatterjee,

Ghosh,

Chakravorty

2024

The Journal of Strain Analysis for Engineering Design

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A review of literature about industrially important composite skew plates, which are used as roofing and flooring units to cover non-rectangular parallelogram shaped plan areas, shows that the aspect of progressive failure has not received any attention from researchers which is essential to comprehensively understand failure behaviour from initiation to the ultimate stage. In the present approach stiffness degradation of a damaged plate is considered only at the point of damage in the corresponding lamina at all stages of first and progressive failure and the present outputs match excellently with published experimental results. This realistic modelling of failure behaviour is the novelty of this paper. Apart from reporting the failure load values, the failure zones and nature of damage progress on the skew plate surfaces are also presented which are expected to be valuable inputs for non-destructive health monitoring.

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Section: Introductionmentioning

confidence: 99%

Progressive failure prediction of laminated composite thin skew plates under transverse loading using nonlinear strains

Chatterjee,

Ghosh,

Chakravorty

2024

The Journal of Strain Analysis for Engineering Design

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“…Wang and his colleagues [49][50][51][52][53][54] provided plentiful research works using the DSC method for various structure problems, e.g., multiple-stepped beams. On the basis of the DSC approach, Xiang et al [55,56] also developed the DSC-Element method to investigate the dynamic characteristics of Mindlin plates with mixed edge supports and skew angles. Since the original version of the DSC approach is restricted for dealing with vibration and buckling analysis of plates with free edges, Wang et al [56,57] incorporated the DSC method with the Taylor series expansion technique to pass through this bottleneck.…”

Section: Introductionmentioning

confidence: 99%

Thermal effect on vibration and buckling analysis of thin isotropic/orthotropic rectangular plates with crack defects

Lai

Zhang

2018

Engineering Structures

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“…Displacement function was formed by multiplying Chebyshev polynomial series with boundary function. Lai et al 21 adopted DSC-element method to analyse vibration of skew plates by using the first order shear deformation theory for continuous and discontinuous boundaries. Wang and Wu 22 studied the free vibration of skew under 14 sets of boundary condition with free edges by applying modified differential quadrature method (DQM).…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Rhombic Plate with Central Crack

Azam¹,

Ranjan²,

Kumar³

2017

IJAV

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In this paper, free vibration analysis of rhombic plate with pre-existing central crack has been done using the finite element method. The Mindlin theory of plate has been used in the process of investigation. The following six boundary conditions at the edges of the plate have been considered. They are simply supported at all edges (SSSS), clamped at all edges (CCCC), free at all edges (FFFF), clamped-simply supported (CSSC), clamped-free (CFFC), and clamped-free-simply supported (CSFS). Effects of crack length on natural frequencies of rhombic plate with different skew angles i.e. 15• , 30• , 45• , 60• have been studied. It is observed that percentage drop in fundamental frequency due to presence of central crack in the rhombic plate increases with an increase in skew angle for CCCC, SSSS, and CSSC edge conditions at a given crack ratio (non-dimensional crack length). Under the CFFC, CSFS, and FFFF edge conditions, percentage drop in natural frequency of rhombic plate is very small for crack ratio of 0.2 at different skew angles. In case of the CFFC edge condition of the rhombic plate, percentage drop in fundamental frequency is within 0.7% at all skew angles and with all crack ratios considered. Some of the results obtained by the present method have been compared with the published results. Most of the results obtained are novel for rhombic crack plate.

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Application of the DSC-Element method to flexural vibration of skew plates with continuous and discontinuous boundaries

Cited by 6 publications

References 40 publications

Progressive failure prediction of laminated composite thin skew plates under transverse loading using nonlinear strains

Progressive failure prediction of laminated composite thin skew plates under transverse loading using nonlinear strains

Thermal effect on vibration and buckling analysis of thin isotropic/orthotropic rectangular plates with crack defects

Free Vibration Analysis of Rhombic Plate with Central Crack

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