Vibration and buckling of plates with mixed boundary conditions

Mizusawa, T.; Leonard, John W.

doi:10.1016/0141-0296(90)90028-q

Cited by 48 publications

(17 citation statements)

References 19 publications

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“…The thickness and mixed edge constraint ratios for these two cases are t/b¼ 0.01 and a=a ¼ 0:5, respectively. By contrast, two meshes can provide accurate solutions with respect to the classical thin plate solutions [39] for different skew angles. Additionally, the frequency solutions of Cases 7 and 8 for moderate thickness (t/b¼0.1 and 0.2) are also predicted in Tables 10 and 11 in a range of 01 rar601.…”

Section: Platementioning

confidence: 87%

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

Lai

Zhou

Zhang

et al. 2011

Thin-Walled Structures

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Section: Platementioning

confidence: 87%

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

Lai

Zhou

Zhang

et al. 2011

Thin-Walled Structures

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“…Table 5 actually give higher frequency values than those with other stacking sequences. Typical stacking sequences of the Ohta and Hamada (1963) 22.4 ---- Keer and Stahl (1972) 22.49 ---- Rao et al (1973) 22.96 ---- Narita (1981) 22.63 50.04 55.95 82.34 99.71 Fan and Cheung (1984) 22.73 50.15 56.23 -- Gorman (1984) 22.48 ---- Mizusawa and Leonard (1990) 22.71 50.10 56.13 82.37 99.73 Liew et al (1993) 22.40 ---- Laura and Gutierrez (1994) 21.99 ---- Shu and Wang (1999) 22 . Keer and Stahl (1972) 28.37 ---- Rao et al (1973) 28.62 ---- Narita (1981) 28 Table 3 Frequency parameters X of isotropic square plates with mixed boundary conditions (m = 0.3)…”

Section: Convergence and Comparison Of The Fem Solutionsmentioning

confidence: 98%

“…More recently, in the 1990s, Mizusawa and Leonard (1990) used a spline strip method to study vibration and buckling of plates with mixed boundary conditions. Liew et al (1993) applied the substructure method to the problem.…”

Section: Introductionmentioning

confidence: 99%

Maximum frequency design of laminated plates with mixed boundary conditions

Narita

2006

International Journal of Solids and Structures

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A layerwise optimization (LO) approach is extended to accommodate the finite element analysis for optimizing the free vibration behavior of laminated composite plates with discontinuities along the boundaries. The classical nonconforming finite element is modified to fit into the LO procedure and is used to calculate natural frequencies of symmetrically laminated plates. This combined LO-FEM approach is applied to laminated rectangular plates with combinations of free, simply supported and clamped edges along parts of the plate boundary. The fundamental frequency, an object function for the present study, is maximized by optimizing design variables that are a set of fiber orientation angles in the layers. For illustrative purpose nine examples of square and rectangular plates with various types of mixed boundary conditions are considered, and a comprehensive set of results are presented for the optimum fiber orientation angles and the maximum fundamental frequencies of the 8-layer and 24-layer plates.

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“…Various analysis techniques, such as the series-type method [9], integral equations method [10,11], finite element method [12,13], Rayleigh-Ritz method [14], Galerkin method [15], domain decomposition method [16][17][18] and the differential quadrature (DQ) method [19], have been carried out. Recently, the differential quadrature (DQ) method [20] was developed for the vibration analysis of rectangular with mixed boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Fluctuation strength of modulated sound radiated from rectangular plates with mixed boundary conditions

Qiao

Huang

2007

Arch Appl Mech

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A generalized differential quadrature method is developed for solving the sound radiated from the forced vibrating rectangular plates with mixed boundary conditions in this paper. The fluctuation strength of the radiated sound, which is modulated by another sound near the plates, is studied. The effects of the modulation frequency and the modulation degree on fluctuation strength are revealed. The effects of the radiated sound frequency and the structural modal density are also studied and compared. The numerical results are presented to show the characteristics of the fluctuation strength of the modulated sound radiated from rectangular plates with mixed boundary conditions.

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Vibration and buckling of plates with mixed boundary conditions

Cited by 48 publications

References 19 publications

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

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

Maximum frequency design of laminated plates with mixed boundary conditions

Fluctuation strength of modulated sound radiated from rectangular plates with mixed boundary conditions

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