Vibration of rectangular plates with edge restraints and intermediate stiffeners

Wu, Jong‐Shyong; Liu, W.H.

doi:10.1016/s0022-460x(88)80081-6

Cited by 35 publications

(11 citation statements)

References 6 publications

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“…Rectangular plates with all edges transversely supported with uniform elastic rotational restraint were investigated by using the Rayleigh}Ritz method [39], Mukhopadhyay's method [39] and the spline "nite strip method [40]. Frequency parameters were reported for the "rst few eigenmodes.…”

Section: Comparison Studymentioning

confidence: 99%

DSC Analysis of Rectangular Plates With Non-Uniform Boundary Conditions

Zhao¹,

Wei²

2002

Journal of Sound and Vibration

101

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This paper introduces the discrete singular convolution (DSC) for the vibration analysis of rectangular plates with non-uniform and combined boundary conditions. A systematic scheme is proposed for the treatment of boundary conditions required in the proposed approach. The validity of the DSC approach for plate vibration is tested by using a large number of numerical examples that have a combination of simply supported, clamped and transversely supported (with non-uniform elastic rotational restraint) edges. The present results are in excellent agreement with those in the literature.

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Section: Comparison Studymentioning

confidence: 99%

DSC Analysis of Rectangular Plates With Non-Uniform Boundary Conditions

Zhao¹,

Wei²

2002

Journal of Sound and Vibration

101

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“…The convergence of modes with mesh divisions and comparison with references are presented in Tables 1 and 2. In fact the results shown in references [30,31] are for elastically restrained edges; as such, the frequencies are less compared to fully clamped boundary conditions. Observations of mode shapes in Figure 8 and the frequency sensitivity diagram in Figure 9 indicate that for estimating the height of the sti!ener and thickness, the best choice of modes are 1, 2, 3 and 6.…”

Section: Problem 2: Cross-stiffened Clamped Platementioning

confidence: 97%

“…The cross-sti!ened plate of reference [30], [31] has been investigated. The details are given in Figure 7.…”

Section: Problem 2: Cross-stiffened Clamped Platementioning

confidence: 99%

Estimation of in-Plane Elastic Parameters and Stiffener Geometry of Stiffened Plates

Chakraborty

Mukhopadhyay

2000

Journal of Sound and Vibration

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“…Laura and Gutierrez (1976) deals with the determination of the fundamental frequency of vibration of rectangular plates with edged elastically restrained against rotation. Wu and Liu (1988) analyzed the free vibration of stiffened plates with elastically edges restrained and intermediate stiffeners by using the Rayleigh-Ritz method. Aksu and Ali (1976) studied the free vibration characteristics of rectangular stiffened plates having a single stiffener have been examined by using the finite difference method.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of isotropic plate with stiffeners using finite element method

Yadav¹,

Sharma²,

Shivhare³

2015

10.5267/j.esm

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This paper presents the free vibration analysis of stiffened isotropic plate by means of finite element method. Stiffeners are used in plates to increase the strength and stiffness. The effect of position of stiffeners on isotropic plate has been studied which involve the possible combination of clamped and free edge condition. The model has been discretized using a 20-node solid element (SOLID186) from the ANSYS element library. The natural frequencies are calculated using Block-Lanczos algorithm. The comparisons of stiffened plate with the available results are found to be in good uniformity. The effect of different boundary conditions, stiffeners location, thickness ratio, stiffener thickness to plate thickness and aspect ratio on the vibration analysis of stiffened plates has been studied.

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Vibration of rectangular plates with edge restraints and intermediate stiffeners

Cited by 35 publications

References 6 publications

DSC Analysis of Rectangular Plates With Non-Uniform Boundary Conditions

DSC Analysis of Rectangular Plates With Non-Uniform Boundary Conditions

Estimation of in-Plane Elastic Parameters and Stiffener Geometry of Stiffened Plates

Free vibration analysis of isotropic plate with stiffeners using finite element method

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