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Numerical Solutions of 2-D Linear Elastostatic Problems by Network Method
Department of Structures and Construction, Technical University of Cartagena, Spain
Department of Mechanical Engineering, Technical University of Cartagena, Spain
Department of Applied Physics, Technical University of Cartagena, Spain
Computer Modeling in Engineering & Sciences 2011, 76(1), 1-18. https://doi.org/10.3970/cmes.2011.076.001
Abstract
Following the rules of the network simulation method, a general purpose network model is designed and numerically solved for linear elastostatic problems formulated by the Navier equations. Coupled and nonlinear terms of the PDE, as well as boundary conditions, are easily implemented in the model by means of general purpose electrical devices named controlled current (or voltage) sources. The complete model is run in the commercial software PSPICE and the numerical results are post-processed by MATLAB to facilitate graphical representation. To demonstrate the reliability and efficiency of the proposed method two applications are presented: a cantilever loaded at one end and a supported loaded plate. Solutions are successfully compared with those provided by theoretical and standard numerical methods.Keywords
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