SmoothZeroTransmission
Created Mittwoch 16 September 2015
Ensure a smooth transition from y(x<0) to y(x>0) with linear behaviour around x=0
1. Purpose of Function
When two paths of an if-else correlation shall be connected to each other smoothly then the SmoothZeroTransmission is a appropriate option.
2. Limits of Validity
3. Interfaces
4. Nomenclature
5. Governing Equations
The function uses ClaRa's function Stepsmoother to create the desired smooth behaviour of the following discontinuous equation:
This is achieved by twice applying the Stepsmoother, i.e.
which results in the following behaviour:
6. Remarks for Usage
7. Validation
8. References
9. Version History
13.08.2015 - 0.1 - initial implementation - Friedrich Gottelt, XRG Simulation GmbH
Backlinks: ClaRa:Basics:Functions:SmoothZeroTransmission ClaRa:Basics:Functions:maxAbs ClaRa:Basics:Functions:minAbs