DSC analysis of free-edged beams by an iteratively matched boundary method

This communication introduces a novel scheme for the treatment of free edge supports in the analysis of beams by using the discrete singular convolution (DSC) algorithm. Accommodating free edges has been a challenging issue in the DSC analysis of beams, plates, and shells. An iteratively matched boundary (IMB) method is proposed to overcome the difficulty. Numerical experiments are carried out to demonstrate that the proposed IMB method works very well in dealing with arbitrary combinations of beam edge supports. r 2004 Elsevier Ltd. All rights reserved. Recently, the discrete singular convolution (DSC) algorithm has emerged as a wavelet collocation scheme for the computer realization of singular convolutions [1,2]. The underlying mathematical structure of the DSC algorithm is the theory of distributions [3] and wavelet analysis. The DSC algorithm has the global methods’ accuracy and the local methods’ flexibility for handling complex geometry and boundary conditions in the analysis of fluid dynamics [4] and electrodynamics problems [5]. It is a simple and robust approach for structural analysis, and has found its success in structural analysis, including the vibration and buckling of beams [6], plate vibration under various edge and internal supports [7–14]. The DSC algorithm was extensively see front matter r 2004 Elsevier Ltd. All rights reserved. jsv.2004.08.037 ding author. Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA. 53 4689; fax: +1517 432 1562. ress: [email protected] (G.W. Wei).