75 m b 10 m c 20 m d 125 m t 01 m ansys verification

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Unformatted text preview: s of disk space and memory. 2.4. Energy Norm The finite element solution is an approximation to the true solution of a mathematical problem. From an analyst's standpoint, it is important to know the magnitude of error involved in the solution. The ANSYS program offers a method for a posteriori estimation of the solution error due to mesh discretization. The method involves calculating the energy error within each finite element and expressing this error in terms of a global error energy norm. The error energy within each finite element is calculated as ei = 1/2 v {∆σ}T [D]-1 {∆σ} dV where: ei = error energy in element i {∆σ} = nodal stress error vector [D] = stress-strain matrix The nodal stress error vector {∆σ} is the averaged nodal stresses minus the unaveraged nodal stresses. By summing all element error energies e, the global energy error in the model, e, can be determined. This can be normalized against the total energy (u + e), where u is the strain energy, and expre...
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This note was uploaded on 12/09/2010 for the course DEPARTMENT E301 taught by Professor Kulasinghe during the Spring '09 term at University of Peradeniya.

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