Abstract
In order to satisfy the demand of quantitative analysis of deformation properties of arbitrary irregular structures, a deformation decomposition method for arbitrary triangular element and arbitrary tetrahedral element is proposed based on mechanical equilibrium and mathematical orthogonality. The projection coefficients of various basic deformations of the structure can be obtained by applying the deformation decomposition method to the model divided by triangular or tetrahedral element. The quantitative and visual analysis of the structural deformation performance are realized. The work can provide theoretical basis for the orthonormal decomposition of arbitrary irregular elements and greatly improve the orthonormal deformation decomposition method.
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