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The governing finite element matrix equations produce the following: (2).
The element matrix is based on the Timoshenko beam theory.
The second series consists of computing a finite element matrix for a diffusion term.
Three special element types, called yarn element, matrix element and mixed element, are derived.
The a priori pivoting is obtained by sorting the nodes prior to assembling the finite element matrix.
For the diagonal element matrix, values of 1.0 indicate that the model parameters are completely resolved and values of 0.0 indicate that the model parameters are completely unresolved.
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Explicit element matrices are given.
The element matrices are analytically integrated in closed form.
The global matrices are obtained by assembling the corresponding element matrices using skyline technique.
By assembling the element matrices, the global equilibrium equations for the plate can be obtained as.
To integrate element matrices the Gauss Lobatto Legendre quadrature rule is used.
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