Nonlinear dynamic analysis of heterogeneous orthotropic membranes by the analog equation method. (Q2759692)

The paper deals with large deflections of heterogeneous orthotropic membranes subject to dynamic loads. In the present analog equation method the spatial variation of the solution is governed by Poisson equation with fictitious sources, which are approximated by radial base functions associated with certain interior nodes. The expansion coefficients are time-dependent unknowns. Thus, the separation of temporal and spatial variables is employed. Having known the particular solutions of Poisson equation corresponding to each of the employed radial base functions, the authors can represent the unknown fields and their gradients in terms of boundary integrals and a finite series with unknown expansion coefficients. The latter are computed from the original equations after substituting into the developed representations of the unknown fields and their gradients. Several numerical examples are presented for illustration of the method.NEWLINENEWLINEFor the entire collection see [Zbl 0970.00025].