Package for Machine Design

Finite Element Analysis in Structural Mechanics

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Displacements and rotations of all nodes

This boundary condition can only be used in a linear elastostatic problem.

Prescribing the displacements and rotations at all nodes leads directly to the calculation of stresses (or strains, as applicable), which can be influenced only by a temperature field, if present. The generalized displacement field must be prescribed in the first load case and applies to all load cases.

In the name.i2 file, a vector is first defined using a GV set:

GV set number T 1 V prescribed values

or

GV set number T 1 D 12 record number

and the set thus defined is then assigned to the entire body:

AS 1 /$\dots$ /G set number /$\dots$

The first set form is used to specify the vector directly, whereby the order of the nodes and the order of the components at the nodes must be followed. The length of the vector, i.e., the number of prescribed values after the key letter V, must exactly match the number of degrees of freedom of the mesh.

The second set form is used to read the vector from the name.SOL file (a previously computed displacement field).

Example

Let us consider a displacement field for a mesh consisting of 2D isoparametric elements. The number of nodes in the mesh is 22. Each node has two degrees of freedom, $u,v$.

In the GV set, the prescribed values after the key letter V will be in the order $u_1$ $v_1$ $u_2$ $v_2$ $\dots$ $u_{21}$ $v_{21}$ $u_{22}$ $v_{22}$.