1. Discretization#

1.1. Degrees of freedom#

Modeling

Degrees of Freedom (at each vertex node)

AXIS_SI

DX: corresponds to the radial displacement DY: corresponds to the longitudinal displacement

D_ PLAN_SI

DX: next move \(X\) DY: next move \(Y\)

C_ PLAN_SI

DX: next move \(X\) DY: next move \(Y\)

1.2. Support mesh for stiffness matrices#

The support cells for finite elements can be triangles or quadrangles. The elements are iso-parametric. Only the element based on mesh QUAD8 is under-integrated.

Models

Mesh

Interpolation

integration

AXIS_SI D_ PLAN_SI C_ PLAN_SI

TRIA3

QUAD4 TRIA6 QUAD8 QUAD9

Linear Bi-linear Quadratic Serendip Bi-Quadratic

complete Reduced completes Reduced complete

1.3. Cargo support mesh#

Models

Mesh

Interpolation

AXIS_SI D_ PLAN_SI C_ PLAN_SI

SEG2

SEG3

Linear or Quadratic