Vibrations of rectangular plates reinforced by any number of beams of arbitrary lengths and placement angles

Xu, Hongan; Du, Jingtao; Li, W.L.

doi:10.1016/j.jsv.2010.03.023

Cited by 68 publications

(39 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[37] about the definitions of the local coordinate systems for the plate and beams, and the supplementary functions,…”

Section: The Modified Fourier Series Representations Of the Displacemmentioning

confidence: 99%

“…There is a lack of studies on whether the vibration of a stiffened plate will behave meaningfully different under other boundary conditions or how it can be affected by the non-rigid coupling conditions between a plate and the reinforcing beams. This study is to extend the previous work [37] to the power flow analysis of periodically reinforced plates. The power flows and kinetic energy distributions are studied against certain factors such as boundary conditions for beams/plate, beamplate coupling configurations, excitation locations, and dislocations.…”

mentioning

confidence: 94%

See 1 more Smart Citation

Vibration and power flow analysis of periodically reinforced plates

2011

Sci. China Technol. Sci.

View full text Add to dashboard Cite

In this paper an analytical method is proposed to investigate the vibration and power flows of periodically reinforced plate with general boundary conditions. Both the plate and stiffening beams are modeled as 3D structural components, and the couplings at the interfaces are specified in terms of 3D elastic joints. The displacement function for each stiffening beam is expressed as a modified Fourier cosine series, and the transverse and in-plane displacements for the plate are similarly expressed as the 2D versions of the modified Fourier cosine series expansions. The unknown Fourier coefficients are calculated using the Rayleigh-Ritz technique. The key advantages of the proposed method include: 1) it is capable of dealing with arbitrary boundary and coupling conditions, 2) it allows modeling any number of reinforcing beams with arbitrary lengths, and 3) the structural intensity, power flows, and kinetic energy distributions are readily calculated analytically from the displacement functions through appropriate mathematical (differential) operations, to name a few. The power flow characteristics of periodically reinforced plates are studied against various influencing factors, such as, plate and beam boundary conditions, coupling conditions, excitation locations, and dislocations resulting from minor misplacement of a reinforcing beam. vibrations, reinforced plates, periodic structures, analytical methods Citation:Xu H A, Li W L. Vibration and power flow analysis of periodically reinforced plates.

show abstract

“…[37] about the definitions of the local coordinate systems for the plate and beams, and the supplementary functions,…”

Section: The Modified Fourier Series Representations Of the Displacemmentioning

confidence: 99%

mentioning

confidence: 94%

Vibration and power flow analysis of periodically reinforced plates

2011

Sci. China Technol. Sci.

View full text Add to dashboard Cite

show abstract

“…There have been quantities of publications on dynamics of stiffened plates so far [4][5][6], however, most of these research findings are focused on normal sections of stiffeners like the rectangular section. Actually, the cross-section style of a stiffener may be diverse in different cases, this assumption is probable unreasonable and may result in huge computational errors.…”

Section: Introductionmentioning

confidence: 99%

A new method of analyzing the local dynamical behavior of steel box girder with stiffened plates

Ma¹,

Zhou²

2017

Proceedings of the 2017 6th International Conference on Energy and Environmental Protection (ICEEP 2017)

View full text Add to dashboard Cite

Abstract. In order to study the dynamical behavior of stiffened plates of steel box girder with trapezoidal stiffeners, FE software ANSYS and its secondary development are used to build the model of the stiffened plate. The plate, transverse diaphragms and trapezoidal stiffeners are all modelled by Shell63 Element, while the deck pavement is modelled by solid plate element with 8 nodes. Detailed process of this new element and its computational procedure are exhibited. By giving the first 10 natural frequencies of the stiffened plate corresponding to both simply supported and clamped boundary conditions, the proposed method is compared with the fine analysis method of ANSYS to verify the accuracy and efficiency of this method. Some useful conclusions are drawn and these conclusions can provide reference for the dynamic design of stiffened plates.

show abstract

“…A comprehensive review has recently been given by Xu et al [4] about vibration of stiffened plates. Replacement of stiffened structures with the equivalent unstiffened orthotropic structures has been performed only in the case of stiffened plates [1][2][3][4][5][6][7] and curved stiffened shells with constant radius of curvature [8][9][10][11][12][13][14][15][16][17]. Srinivasan [16] studied dynamic analysis of stiffened conical shell panels wherein the smearing technique is used for closely spaced stiffeners and the time domain analysis has been done using the mode superposition method.…”

Section: Introductionmentioning

confidence: 99%

Free vibration and dynamic response analysis of stiffened parabolic shells using equivalent orthotropic shell parameters

Edalat¹,

Khedmati²,

Soares

2013

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

Dynamic response and free vibration analysis of stiffened shells having parabolic curvatures, with applications to ships and other similar structures are the main focus of this study. The energy approach is employed to the determination of equivalent orthotropic shell parameters of parabolic stiffened shells. The unstiffened equivalent shell has proper accuracy in predicting free vibration characteristics as well as dynamic response of the main stiffened shell. Reducing the governing equation difficulties with suitable precision in free vibration and dynamic response analyses is the most advantage of replacement of stiffened shells with their unstiffened equivalences.

show abstract

Vibrations of rectangular plates reinforced by any number of beams of arbitrary lengths and placement angles

Cited by 68 publications

References 31 publications

Vibration and power flow analysis of periodically reinforced plates

Vibration and power flow analysis of periodically reinforced plates

A new method of analyzing the local dynamical behavior of steel box girder with stiffened plates

Free vibration and dynamic response analysis of stiffened parabolic shells using equivalent orthotropic shell parameters

Contact Info

Product

Resources

About