Discrete singular convolution for beam analysis
نویسنده
چکیده
This paper explores the utility of a discrete singular convolution (DSC) algorithm for beam analysis. Regularized Shannon and Dirichlet kernels are selected to illustrate the present algorithm. Three classes of benchmark beam problems, including bending, vibration and buckling, are utilized to test numerical accuracy and speed of convergence of the present approach. Numerical experiments indicate that the DSC is a simple and reliable algorithm for beam analysis. 2001 Elsevier Science Ltd. All rights reserved.
منابع مشابه
A Discrete Singular Convolution Method for the Seepage Analysis in Porous Media with Irregular Geometry
A novel discrete singular convolution (DSC) formulation is presented for the seepage analysis in irregular geometric porous media. The DSC is a new promising numerical approach which has been recently applied to solve several engineering problems. For a medium with regular geometry, realizing of the DSC for the seepage analysis is straight forward. But DSC implementation for a medium with ir...
متن کاملFree Vibration of Annular Plates by Discrete Singular Convolution and Differential Quadrature Methods
Plates and shells are significant structural components in many engineering and industrial applications. In this study, the free vibration analysis of annular plates is investigated. To this aim, two different numerical methods including the differential quadrature and the discrete singular convolution methods are performedfor numerical simulations. Moreover, the Frequency values are obtained v...
متن کاملFree Vibration Analysis of Carbon Nanotubes Based on Shear Deformable Beam Theory by Discrete Singular Convolution Technique
In this study, free vibration analysis of carbon nanotubes is investigated based on Timoshenko beam theory. Discrete singular convolution (DSC) method is used for free vibration problem of numerical solution of carbon nanotubes. Numerical results are presented and compared with that available in the literature. It is shown that reasonable accurate results are obtained. Keywords-Carbon Nanotubes...
متن کاملدرکنش سد و مخزن در دامنه زمان به وسیله روش انتگرال حلقوی منفرد مجزا (DSC)
In this paper, time-domain dynamic analysis of dam - infinite reservoir is studied. A numerical method, discrete singular convolution (DSC), which seems to be efficient and simple, has been used to model the mixed boundary conditions. After a brief introduction, DSC is applied to model the equation of motion of fluid-structure with constant cross section subjected to El-Centro (1940) earthquake...
متن کاملVibration Analysis by Discrete Singular Convolution
This paper explores the utility of a discrete singular convolution algorithm for vibration analysis. A number of di!erent realizations of singular convolution kernels are selected to illustrate the present algorithm. Vibration analysis of strings, rods, beams, diatomic molecules, membranes, waveguides and thin plates are utilized to test numerical accuracy and speed of convergence of the presen...
متن کامل