Free vibration of thick, layered rectangular plates with point supports by finite layer method

Zhou, Ding; Cheung, Y.K.; Kong, Jackson

doi:10.1016/s0020-7683(98)00316-3

Cited by 33 publications

(9 citation statements)

References 18 publications

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“…Aagaah et al [12] examined natural frequencies of laminated composite plates using third order shear deformation theory. Zhou et al [13] used finite layer method for the free vibration analysis of thick layered rectangular plates with point supports. Shimpi and Ainapure [14] used layer-wise trigonometric shear deformation theory for free vibration analysis of two-layered cross-ply laminated plates.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Cross ply Laminated Composite Thick Plates

Kadıoğlu¹,

Tekin²

2015

Second International Conference on Advances in Civil, Structural and Mechanical Engineering - ACSM 2015

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Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Cross ply Laminated Composite Thick Plates

Kadıoğlu¹,

Tekin²

2015

Second International Conference on Advances in Civil, Structural and Mechanical Engineering - ACSM 2015

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“…Zhou [4] and Cheung and Zhou [5] used the static beam functions as admissible functions to study tapered rectangular plates with point-supports and composite rectangular plates with point-supports respectively. Moreover, the 3-D vibration of composite plates with internal point-supports has been studied by Zhou et al [6] using the finite layer method. Bergman et al [7] derived the dynamic Green function for rectangular plates having two opposite edges simply supported and attached by substructures.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration of Rectangular Plates with Attached Discrete Sprung Masses

Zhou

2012

Shock and Vibration

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Abstract.A direct approach is used to derive the exact solution for the free vibration of thin rectangular plates with discrete sprung masses attached. The plate is simply supported along two opposite edges and elastically supported along the two other edges. The elastic support can represent a range of boundary conditions from free to clamped supports. Considering only the compatibility of the internal forces between the plate and the sprung masses, the equations of the coupled vibration of the plate-spring-mass system are derived. The exact expressions for mode and frequency equations of the coupled vibration of the plate and sprung masses are determined. The solutions converge steadily and monotonically to exact values. The correctness and accuracy of the solutions are demonstrated through comparison with published results. A parametric study is undertaken focusing on the plate with one or two sprung masses. The results can be used as a benchmark for further investigation.The solution provided in the paper is general and includes several special cases, such as the plate with classical boundary conditions, the plate attached with discrete rigid masses, the plate supported by discrete springs and the plate restricted by rigid vertical point-supports.

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“…Yu [3] used the method of superposition established by Gorman [4] to analyze the free vibration of cantilever plates containing an attached mass. Zhou et al [5] utilized a three-dimensional theory to study the frequency analysis of both isotropic and composites plates. A finite layer formulation is used to model the structure and a hybrid basis function is introduced to adequately satisfy the displacement constraints at the point supports.…”

Section: Introductionmentioning

confidence: 99%