Yakhno, V. G.Ersoy Özdek, Demet2023-06-162023-06-1620140022-08331573-2703https://doi.org/10.1007/s10665-013-9673-2https://hdl.handle.net/20.500.14365/911A 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.eninfo:eu-repo/semantics/closedAccessAnalytical methodComposite circular membraneGreen's functionsSimulationTransverse vibrationBoundary-Element AnalysisTime-Domain BemFundamental-SolutionsAxisymmetrical VibrationsAnnular MembranesElastodynamicsFormulationScatteringArticle10.1007/s10665-013-9673-22-s2.0-84903901747