High frequency flexural vibration of thick rectangular bars and plates

Nelson, Helen M.

doi:10.1016/0022-460x(78)90404-2

Cited by 20 publications

(8 citation statements)

References 12 publications

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“…The following triplets indicate the number of elements along a, b and the third digit stands for the number of elements on the external edge (correspondent to one-quarter of the plate). Thus, b/a = 1.5 has (2,3,5), (4,6,8), (8,12,14), (16,24,24), (32,48,50), (36,52,54), (40,56,58). b/a = 2 has (1,2,4), (2,4,6), (4,8,8), (8,16,16), (16,32,32), (24,48,48), (32,64,64).…”

Section: Elliptic Platesmentioning

confidence: 99%

“…Thus, b/a = 1.5 has (2,3,5), (4,6,8), (8,12,14), (16,24,24), (32,48,50), (36,52,54), (40,56,58). b/a = 2 has (1,2,4), (2,4,6), (4,8,8), (8,16,16), (16,32,32), (24,48,48), (32,64,64). b/a = 2.5 has (1,3,6), (2,5,7), (4,10,10), (8,20,20), (12,30,30), (16,40,40), (24,…”

Section: Elliptic Platesmentioning

confidence: 99%

“…b/a = 2 has (1,2,4), (2,4,6), (4,8,8), (8,16,16), (16,32,32), (24,48,48), (32,64,64). b/a = 2.5 has (1,3,6), (2,5,7), (4,10,10), (8,20,20), (12,30,30), (16,40,40), (24,60,60). It is obvious that the present meshes take into account the plate double symmetry.…”

Section: Elliptic Platesmentioning

confidence: 99%

“…has (1,3,6), (2,5,7), (4,10,10), (8,20,20), (12,30,30), (16,40,40), (24,60,60). It is obvious that the present meshes take into account the plate double symmetry.…”

Section: Elliptic Platesmentioning

confidence: 99%

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On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models

et al. 2018

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Abstract:The present work considers a computational study on laminated composite plates by using a linear theory for moderately thick structures. The present problem is solved numerically because analytical solutions cannot be found for such plates when lamination schemes are general and when all the stiffness constants are activated at the constitutive level. Strong and weak formulations are used to solve the present problem and several comparisons are given. The strong form is dealt with using the so-called Strong Formulation Finite Element Method (SFEM) and the weak form is solved using commercial Finite Element (FE) packages. Both techniques are based on the domain decomposition technique according to geometric discontinuities. The SFEM solves the strong form inside each element and needs the implementation of kinematic and static inter-element conditions, whereas the FE solves the weak form and the continuity conditions among the elements are given in terms of displacements only. The results are reported in graphical form in terms of the first three natural frequencies. The accuracy and stability of SFEM and FE are thoroughly discussed.

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Section: Elliptic Platesmentioning

confidence: 99%

Section: Elliptic Platesmentioning

confidence: 99%

Section: Elliptic Platesmentioning

confidence: 99%

“…has (1,3,6), (2,5,7), (4,10,10), (8,20,20), (12,30,30), (16,40,40), (24,60,60). It is obvious that the present meshes take into account the plate double symmetry.…”

Section: Elliptic Platesmentioning

confidence: 99%

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On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models

et al. 2018

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“…Mindlin 판의 면외 운동방정식의 해를 유도하기 위해서 다음과 같이 변위 포텐셜 함수(displacement potential function)를 정의하여 각 축 방향의 회전각 을 표현할 수 있다 (6) . …”

Section: Mindlin 판의 면외 운동unclassified

Wave Transmission Analysis of Co-planar Coupled Semi-infinite Mindlin Plate

Park

2013

Transactions of the Korean Society for Noise and Vibration Engi

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At high frequencies, the statistical approach such as statistical energy analysis(SEA) and energy flow analysis(EFA) has been applied for estimation of vibroacoustic responses of various built-up structures. The energy coupling relationship between finite coupled structures is required to estimate vibrational energetics of built-up structures. Mindlin plate theory includes the rotatory inertia and shear deformation effects which are dominant as frequency increases. In this paper, the wave transmission analysis is successfully performed for EFA of co-planar coupled Mindlin plates.

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Bolotin's Dynamic Edge Effect Method Revisited (Review)

Andrianov¹,

Khajiyeva²

2021

Modern Trends in Structural and Solid Mechanics 2

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High frequency flexural vibration of thick rectangular bars and plates

Cited by 20 publications

References 12 publications

On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models

On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models

Wave Transmission Analysis of Co-planar Coupled Semi-infinite Mindlin Plate

Bolotin's Dynamic Edge Effect Method Revisited (Review)

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