Processing of angular and non-angular measures in versions prior to Simcenter 3D 11

For versions prior to Simcenter 3D 11, the software returned unexpected results as follows:

Product	Expression dimensionality (units)	Formula for the expression	Value for the expression
rθ	Displacement (mm)	25[mm]*3[radians]	4297.1....[mm]
25[mm]*3[degrees]	75[mm]
rω2	Acceleration (mm/sec^2)	25[mm]*(2[radians/sec]^2)	328280.6....[mm/sec^2]
25[mm]*(2[degrees/sec]^2)	100[mm/sec^2]

As a workaround, you could include correction factors in your formulas, so that the software returned the expected result. The following examples demonstrate these workarounds.

Workaround when angles are in radians

Suppose that you created an expression whose formula is as follows:

25[mm]*3[radians]

When the software evaluated this expression in a version of Simcenter 3D prior to 11, it performed the following calculation:

25,{\rm{mm}},\left( {3,{\rm{radians}}} \right)\left( {\frac{{180}}{\pi }} \right) = 4297.1....,{\rm{mm}}

where the quotient is applied by the software to convert the angle to the base unit of degrees.

To correct for the conversion from radians to degrees, you could have added a correction factor to the formula for the expression as follows:

25[mm]*3[radians]*PI()/180)

where PI()/180 is the correction factor.

When the software evaluated this expression in a version of Simcenter 3D prior to 11, it performed the following calculation:

25,{\rm{mm}}\left( {3,{\rm{radians}}} \right)\left( {\frac{{180}}{\pi }} \right)\left( {\frac{\pi }{{180}}} \right) = 75,{\rm{mm}}

where the first quotient is applied by the software to convert the angle to the base unit of degrees and the second quotient is the correction factor that you included in the formula for the expression.

Workaround when angles are in degrees

Suppose that you created an expression whose formula is as follows:

25[mm]*3[degrees]

When the software evaluated this expression in a version of Simcenter 3D prior to 11, it performed the following calculation:

25,{\rm{mm}}\left( {3,{\rm{degrees}}} \right) = 75,{\rm{mm}}

In this case, the software did not convert the angle to degrees because degrees were the base unit. Consequently, you had to add a correction factor to the formula that converts the angle from degrees to radians as follows:

25[mm]*3[degrees]*PI()/180)

where PI()/180 is the correction factor.

When the software evaluated this expression in a version of Simcenter 3D prior to 11, it performed the following calculation:

25,{\rm{mm}}\left( {3,{\rm{degrees}}} \right)\left( {\frac{\pi }{{180}}} \right) = 1.3089....,{\rm{mm}}

where the quotient is the correction factor that you included in the formula for the expression.

Note:

The correction factor is the same regardless of whether the formula for the expression contains angular measures in degrees or radians.

Additional examples

The following table provides additional examples of how you could have applied correction factors in versions of Simcenter 3D prior to 11.

Product	Expression dimensionality (units)	Formula for the expression	Value for the expression
rθ	Displacement (mm)	25[mm]*3[radians]*PI()/180	75[mm]
25[mm]*3[degrees]*PI()/180	1.3089....[mm]
rω2	Acceleration (mm/sec^2)	25[mm](2[radians/sec]^2)((PI()/180)^2)	100[mm/sec^2]
25[mm](2[degrees/sec]^2)((PI()/180)^2)	0.03046....[mm/sec^2]

Processing of angular and non-angular measures in versions prior to Simcenter 3D 11, Simcenter 3D 2021.1 Series

© 2020 Siemens

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