V.G.Yakhno1, D. Ozdek2,3
CMC-Computers, Materials & Continua, Vol.33, No.2, pp. 155-173, 2013, DOI:10.3970/cmc.2013.033.155
Abstract A new method for the approximate computation of the time-dependent Green's function for the equations of the transverse vibration of a multi stepped membrane is suggested. This method is based on generalization of the Fourier series expansion method and consists of the following steps. The first step is finding eigenvalues and an orthogonal set of eigenfunctions corresponding to an ordinary differential operator with boundary and matching conditions. The second step is a regularization (approximation) of the Dirac delta function in the form of the Fourier series with a finite number of terms, using the orthogonal set of eigenfunctions. The third… More >
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