Nonlinear Dynamic Analysis Of Heterogeneous Orthotropic
Membranes By The Analog Method
Author(s)
J.T. Katsikadelis and G. C. Tsiatas
Abstract
Nonlinear dynamic analysis of heterogeneous
orthotropic membranes by the analog equation
method
J. T. Katsikadelis & G. C. Tsiatas
Department of Civil Engineering,
National Technical University of Athens,
Zografou Campus, GR-15773, Greece
Abstract
In this paper the Analog Equation Method (AEM), a BEM-based method, is
employed to analyze the dynamic response of flat heterogeneous orthotropic
membranes of arbitrary shape, undergoing large deflections. The problem is
formulated in terms of the three displacement components. Due to the
heterogeneity of the membrane, the elastic constants are position dependent and
consequently the coefficients of the partial differential equations governing the
dynamic equilibrium of the membrane are variable. Using the concept of the
analog equation, the three-coupled nonlinear second order hyperbolic partial
differential equations are replaced with three uncoupled Poisson's quasi-static
equations with fictitious time dependent sources.
Keywords
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