Browsing by Author "Yakhno, V. G."

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Citation - WoS: 3
Citation - Scopus: 3
Computation of the Green's Function for the Transverse Vibration of a Composite Circular Membrane
(Springer, 2014) Yakhno, V. G.; Ersoy Özdek, Demet
A new analytical method is suggested for the approximate computation of the time-dependent Green's function for the equations of the transverse vibration of a composite circular membrane with piecewise constant varying density and tension. The method is based on the derivation of eigenvalues and eigenfunctions for an ordinary differential equation with piecewise constant coefficients and an approximate computation of the Green's function in the form of the Fourier series with a finite number of terms relative to the orthogonal set of the derived eigenfunctions. A computational experiment confirms the robustness of the method.
Citation - WoS: 2
Citation - Scopus: 2
The Time-Dependent Green's Function of the Transverse Vibration of a Composite Rectangular Membrane
(Tech Science Press, 2013) Yakhno, V. G.; Ersoy Özdek, Demet
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 step is an approximate computation of the Green's function in the form of the Fourier series with a finite number of terms relative to the orthogonal set of eigenfunctions. The computational experiment confirms the robustness of the method.