Free vibration analysis of rectangular plates with free edges and line support along diagonals

Nong, Li; Gorman, Daniel

doi:10.2514/3.11230

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In References [5] and [6]1

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1999

2002

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Cited by 2 publications

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References 9 publications

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“…11. 6 Schematic representation of rectangular plate with partial clamping imposed along one edge by means of two paralles lines of point supports.…”

Section: In References [5] and [6]mentioning

confidence: 99%

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Some Additional Applications of the Superposition Method

Gorman¹

1999

Series on Stability, Vibration and Control of Systems, Series A

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“…11. 6 Schematic representation of rectangular plate with partial clamping imposed along one edge by means of two paralles lines of point supports.…”

Section: In References [5] and [6]mentioning

confidence: 99%

“…6 The solution for the stress function of this second building block is identical in form to that of the first. Replacing C lm and C 2m by D lm and D 2m , respectively we obtain where and D, =abD llm , and D 0m = aD nm -2A m cosh(m7i:(|)/2) m 7i (m 7i <| ) + sinh m TC (|)) (11.9) A m represents the amplitude of the shear loading term.…”

mentioning

confidence: 99%

Some Additional Applications of the Superposition Method

Gorman¹

1999

Series on Stability, Vibration and Control of Systems, Series A

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Plate vibration under irregular internal supports

Zhao

Wang

Xiang

2002

International Journal of Solids and Structures

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This paper studies the problem of plate vibration under complex and irregular internal support conditions. Such a problem has its widely spread industrial applications and has not been addressed in the literature yet, partially due to the numerical difficulties. A novel computational method, discrete singular convolution (DSC), is introduced for solving this problem. The DSC algorithm exhibits controllable accuracy for approximations and shows excellent flexibility in handling complex geometries, boundary conditions and internal support conditions. Convergence and comparison studies are carried out to check the validity and accuracy of the DSC method. Case studies are considered to the combination of a few different boundary conditions and irregular internal supports. The latter are generated by using an image processing algorithm. Completely independent verifications are conducted by using the established pb-2 Ritz method, which is available for two relatively simpler support patterns. The morphology of the first few eigenmodes is found to be localized to largest support-free spatial regions. Ó

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Free vibration analysis of rectangular plates with free edges and line support along diagonals

Cited by 2 publications

References 9 publications

Some Additional Applications of the Superposition Method

Some Additional Applications of the Superposition Method

Plate vibration under irregular internal supports

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