CARTESIAN

Connection type CARTESIAN provides a connection between two nodes where the change in position is measured in three local connection directions for node a.

This page discusses:

See Also
Connector Elements
Connector Element Library
In Other Guides
*CONNECTOR BEHAVIOR
*CONNECTOR SECTION

ProductsAbaqus/StandardAbaqus/ExplicitAbaqus/CAE

Description

Figure 1. Connection type CARTESIAN.

The CARTESIAN connection does not impose kinematic constraints. It defines three local directions {e1a,e2a,e3a} at node a and measures the change in position of node b along these local coordinate directions. The local directions at node a follow the rotation of node a.

The position of node b relative to node a is

x=e1a(xb-xa);    y=e2a(xb-xa);    and    z=e3a(xb-xa).

The available components of relative motion are

u1=x-x0;    u2=y-y0;    and    u3=z-z0;

where x0, y0, and z0 are the initial coordinates of node b relative to the local coordinate system at node a. The connector constitutive displacements are

u1mat=x-l1ref;    u2mat=y-l2ref;    and    u3mat=z-l3ref.

The kinetic force is

fCart=f1e1a+f2e2a+f3e3a.

In two-dimensional analysis z=0, u3=0, u3mat=0, and f3=0.

Summary

CARTESIAN
Basic, assembled, or complex: Basic
Kinematic constraints: None
Constraint force output: None
Available components: u1,u2,u3
Kinetic force output: f1,f2,f3
Orientation at a: Optional
Orientation at b: Ignored
Connector stops: l1minxl1max,
  l2minyl2max,
  l3minzl3max
Constitutive reference lengths: l1ref,l2ref,l3ref
Predefined friction parameters: None
Contact force for predefined friction: None