1 edition of Flexural vibration of Skew Mindlin Plates with oblique internal line supports. found in the catalog.
Flexural vibration of Skew Mindlin Plates with oblique internal line supports.
by University of Queensland, Dept. of Civil Engineering in Brisbane
Written in English
|Series||Research report / University of Queensland. Department of Civil Engineering -- no.CE139, Research report (University of Queensland. Department of Civil Engineering) -- no.CE139.|
|Contributions||Xiang, Y. .|
employed to analyze the free vibration of Mindlin rectangu-lar plates with general elastic boundary supports, in which the vibration displacements and the cross-sectional rota-tions of the mid-plane are expressed as the linear combina-tion of a double Fourier cosine series and four one-dimen-sional Fourier series. e possible discontinuities. An analysis method has been proposed for the vibration analysis of the Mindlin rectangular plates with general elastically boundary supports, in which the vibration displacements and the cross-sectional rotations of the mid-plane are sought as the linear combination of a double Fourier cosine series and auxiliary series functions. The use of these supplementary functions is to Cited by: 2.
Using SI units throughout, he develops all mathematical tools within the book to work with such topics as linear, nonlinear, and moderately thick plate problems, finite different and gridwork methods, finite element and finite strip methods, computer-based plate analysis, yield-line methods, and free and forced vibrations of plates. A Ritz approach, developed for the analysis of the vibration of thin, laminated, rectangular plates, is extended to apply to symmetrically laminated, composite, skew plates. There is relatively little information available on the vibration of such skew plates, despite their increasing use in the aerospace industry. A convergence study and comparisons with results available from the .
vibration analysis of thick, rectangular plates with point sup-ports Houmat proposed the hand pversion ﬁnite element method based on the pentahedral p-element, to investigate the free vibration of several thick plates The Chebyshev spectral collocation method has been ap-plied to modal and free vibration analyses of various types of. study, the free vibration analysis of cross-ply skew plates using polynomial radial basis function and FSDT is presented. II. MATHEMATICAL FORMULATION The displacement field at any point in the plate is expressed as ignoring initial displacements in X and Y direction: 0,, xy u z v z w w II (1) The skew plate geometry is shown in Figure 1.
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A free vibration analysis of moderately thick skew plates with oblique internal line supports is presented. Mindlin's plate theory is employed and the pb-2 Rayleigh-Ritz method is applied to obtain the governing eigenvalue equation for internally supported skew plates.A set of natural frequencies for skew Mindlin plates with oblique internal line supports having different Cited by: 8.
Add tags for "Flexural vibration of skew mindlin plates with oblique internal line supports". Be the first. This paper presents the first-known exact solutions for the vibration of multi-span rectangular Mindlin plates with two opposite edges simply supported.
The Levy type solution method and the state-space technique are employed to develop an analytical approach to deal with the vibration of rectangular Mindlin plates of multiple by: The main purpose of this paper is to develop a fast converging semianalytical method for assessing the vibration effect on thin orthotropic skew (or parallelogram/oblique) plates.
Since the geometry of the skew plate is not helpful in the mathematical treatments, the analysis is often performed by more complicated and laborious by: A set of natural frequencies for skew Mindlin plates with oblique internal line supports having different combinations of boundary conditions has been determined for various aspect ratios a/b.
Accurate natural frequencies and mode shapes of skew plates with and without cutouts are determined by p-version finite element method using integrals of Legendre polynomials for p=1–The hierarchical plate element is formulated based on Mindlin's plate theory including rotatory inertia effects and based on a skew co-ordinate by: Purchase Vibration of Mindlin Plates - 1st Edition.
Print Book & E-Book. ISBNFree vibration of skew Mindlin plates by p-version of FEM Article in Journal of Sound and Vibration (4) December with 93 Reads How we measure 'reads'.
The free vibration of a rectangular plate with an oblique inelastic line constraint under various boundary conditions is analytically investigated. A double Fourier sine series is employed for the modal displacement functions and the method of stationary potential energy is applied for the analysis to obtain the general analytical by: 2.
An analysis method is proposed for the vibration analysis of the Mindlin rectangular plates with general elastically restrained edges, in which the vibration displacements and the cross-sectional rotations of the mid-plane are expressed as the linear combination of a double Fourier cosine series and four one-dimensional Fourier series.
The use of these supplementary functions is to Author: Xue Kai, Wang Jiufa, Li Qiuhong, Wang Weiyuan, Wang Ping. Introducing the concept of basic displacement functions (BDFs) in plate elements, a novel method is proposed to calculate new shape functions of tapered Mindlin plates for the free vibration analysis using BDFs.
The BDFs are obtained from dynamic deformations of an arbitrary point in tapered Mindlin plate using Ritz method and substituting boundary equations of Cited by: 8. A series solution for the transverse vibration of Mindlin rectangular plates with elastic point supports around the edges is studied.
The series solution for the problem is obtained using improved Fourier series method, in which the vibration displacements and the cross-sectional rotations of the midplane are represented by a double Fourier cosine series and four Cited by: Flexural Vibration of a Thin Rod static bending deformation I x y,v M M x y,v ζ 1.
Deformation planes originally normal to the axis remain normal, on the average their separation remains the same, but they rotate around the axis of moment 2. Strain ε ζ =− =− y v'' y 3. Stress σ = Eε 4. Load '' ''2 A A M =− σ = =∫∫ydA E y dA EIvv File Size: KB.
FREE FLEXURAL VIBRATION OF RECTANGULAR PLATES HAVING SINGLE CRACKS ∑ = = βη+ γη πξ K m m m m m W C D m 1 2 sinh() sn() sin (4) where 1.
η=−η For consistency, the number of terms used in the analytical solutions for the two segments are taken to be the same. Slope and stress resultants Before implementing all continuity and. orthotropic Mindlin rectangular plates with complicated edge supports are also considered by several researchers .
Motivated by the limitation of boundary conditions in the current studies of the vibration analysis of orthotropic Mindlin rectangular plates structures, in this paper, a modified Fourier solution based on. The University of Queensland's institutional repository, UQ eSpace, aims to create global visibility and accessibility of UQ’s scholarly by: 6.
moderately thick rectangular plates with a number of internal line supports in one or two directions. The in uence of line support location and thickness to length ratio on the frequency parameters was studied graphically. Numerical results were compared with known values in the literature for thin plates  and a Levy type solution .Cited by: 3.
This paper considers the elastic buckling of rectangular Mindlin plates under normal inplane forces. The plates may have any number of internal line (straight or curved) supports that span between any two edges.
Based on the energy functional derived from the incremental total potential energy approach, the newly developed pb-2 Rayleigh-Ritz method Cited by: vibration response of integrally-stiffened and/or stepped-thickness plates or panels with one or more integral plate stiffeners.
In general, the Stiffened System is considered to be composed of dissimilar Orthotropic Mindlin Plates with unequal thicknesses. The dynamic governing equations of the individual plate elements of the system and.
Vibration and buckling of thin-Walled structures by a new finite strip Cheung, Y. & Kong, J.,In: Thin-Walled Structures. 21, 4, p. Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal. Research Article Free Vibration Analysis of Moderately Thick Rectangular Plates with Variable Thickness and Arbitrary Boundary Conditions DongyanShi, 1 QingshanWang, 1 XianjieShi, 2 andFuzhenPang 3 College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin, China.Vibration of Mindlin plates: programming the p-version Ritz Method K.M.
Liew, Y. Xiang, S. Kitipornchai, C.M. Wang Over the last several years, the four authors have jointly conducted research into the analysis of vibrating Mindlin plates as a collaborative project between Nanyang Technological University, The National University of.Static and free vibration analyses of rectangular plates by the new version of the differential quadrature element method.