form_count_dof

compas_ags.ags.form_count_dof(form)[source]

Count the number of degrees of freedom of a form diagram.

Parameters

form (FormDiagram) – The form diagram.

Returns

  • k (int) – Dimension of the null space (nullity) of the equilibrium matrix of the form diagram.

  • m (int) – Dimension of the left null space of the equilibrium matrix of the form diagram.

Notes

The equilibrium matrix of the form diagram is

\[\begin{split}\mathbf{E} = \begin{bmatrix} \mathbf{C}_{i}^{t}\mathbf{U} \\ \mathbf{C}_{i}^{t}\mathbf{V} \end{bmatrix}\end{split}\]

Examples

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