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Multibody systems simulation software 81<br />

01<br />

Z n<br />

GROUND<br />

LPRF<br />

Z G<br />

O n<br />

Y n<br />

{QG} 1<br />

GRF<br />

X n<br />

Part n<br />

X<br />

O 1<br />

G Y G<br />

{QP} n<br />

Y m<br />

Marker m<br />

MRF<br />

O m<br />

Z m<br />

X m<br />

Fig. 3.4<br />

Relative position definition of the LPRF and MRF<br />

01<br />

GROUND<br />

ZG<br />

{QP} 1<br />

Y m<br />

Marker m<br />

X m<br />

MRF<br />

O m<br />

Z m<br />

XG<br />

GRF<br />

O 1<br />

YG<br />

Part n<br />

Fig. 3.5<br />

Relative position definition of the MRF in the absence of the LPRF<br />

co-ordinates of a point, such as the end of a spring, where a local definition<br />

of the orientation is not important. In other instances the orientation of the<br />

marker does require definition. An example of this would be the definition of<br />

revolute joints for which the axis of rotation must be specified. A marker<br />

has therefore an associated reference frame, the Marker Reference Frame<br />

(MRF), and is defined relative to the local part reference frame.<br />

The relationship between the three reference frames, in terms of position,<br />

is illustrated in Figure 3.4. The position of the local part reference frame O n<br />

for any body, in this case part n, is defined using, in MSC.ADAMS terminology,<br />

a position vector {QG} 1 . The position of any markers belonging to<br />

part n, for example marker m with marker reference frame O m , is defined<br />

relative to O n , using a relative position vector {QP} n . Note that the x, y and<br />

z components of {QP} n are resolved parallel to O n .<br />

As mentioned earlier the definition of the local part reference frame is<br />

optional and if omitted the local part reference frame is taken to be coincident<br />

with and parallel to the ground reference frame when setting up the<br />

model. The position of the marker reference frame O m is then defined relative<br />

to the ground reference frame by the position vector {QP} 1 as illustrated<br />

in Figure 3.5. Note that the x, y and z components of {QP} 1 are now<br />

resolved parallel to the ground reference frame O 1 .<br />

There are a number of different methods by which the orientation of one<br />

reference frame to another may be established when defining a model.

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