The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution
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TLDR
In this article, the discrete singular convolution algorithm for vibration analysis of rectangular plates with mixed boundary conditions is introduced, and a unified scheme is proposed for the treatment of simply supported, clamped and transversely supported boundary conditions.About:
This article is published in International Journal of Mechanical Sciences.The article was published on 2001-08-01 and is currently open access. It has received 161 citations till now. The article focuses on the topics: Mixed boundary condition & Boundary value problem.read more
Citations
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Strong Formulation Finite Element Method Based on Differential Quadrature: A Survey
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Three-dimensional vibration, buckling and bending analyses of thick rectangular plates based on discrete singular convolution method
TL;DR: In this article, the authors used discrete singular convolution (DSC) method to analyze the free vibration, bending and buckling of rectangular plates and found that the convergence of the DSC approach is very good and the results agree well with those obtained by other researchers.
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Numerical analysis of free vibrations of laminated composite conical and cylindrical shells: Discrete singular convolution (DSC) approach
TL;DR: In this article, a free vibration analysis for laminated conical and cylindrical shells was carried out using Love's first approximation thin shell theory and solved using discrete singular convolution (DSC) method.
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Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method
TL;DR: In this paper, free vibration analysis of conical and cylindrical shells and annular plates made of composite laminated and functionally graded materials (FGMs) is investigated for FGM cases.
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Review on fiber morphology obtained by bubble electrospinning and blown bubble spinning
TL;DR: In this article, it was shown that the ruptured film might be stripped upwards by an electronic force to form a very thin and long plate-like strip, which might been received in the metal receiver as discontinuous backbone-like wrinkled materials, rather than smooth nanofibers or microspheres.
References
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The free vibration of rectangular plates
TL;DR: In this article, the free vibration of rectangular plates is analyzed using the Ritz method with 36 terms containing the products of beam functions, including clamped, simply-supported, and free edge conditions.
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The Vibration of Rectangular Plates
TL;DR: In this article, the free transverse vibrations of rectangular plates with all possible boundary conditions obtained by combining free, freely-supported, and fixed edges were considered, and the effect on frequency of an edge being supported and partially restrained is discussed.
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Discrete singular convolution for the solution of the Fokker–Planck equation
TL;DR: In this paper, a discrete singular convolution algorithm for solving the Fokker-Planck equation is presented, where singular kernels of the Hilbert-type and the delta type are presented for numerical computations.
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A new algorithm for solving some mechanical problems
TL;DR: In this paper, the utility of a discrete singular convolution algorithm for solving certain mechanical problems is explored, including plate vibrations and incompressible flows, and numerical results indicate that the present approach is very accurate, efficient and reliable for solving the aforementioned problems.