Multi-dimensional Valis

Often, parameters of components and parts are not single values, but vary over time or voltage or any other dimension. Valispace handles two dimensional parameters with Datasets and Functions. Datasets are point-wise specifications of a varying Vali and Functions are defined by a formula and a variable range (which can also be from minus infinity to infinity). Datasets and Functions can be used in calculations and formulas of other Valis as usual and the results will be new Datasets or Functions. They can also be evaluated at a certain point where the value is well defined, e.g. Mass(5), where Mass is time-dependent (unit=s), results in the value of Mass at time T = 5s.

Datasets

Datasets are point-wise specifications of a varying Vali. Datasets can also be measurements added to a Vali for reference.

Adding a dataset

To add a dataset to a Vali, click the "Add dataset" button in the Vali details.

add dataset

Add points to the dataset by adding a new row with the plus symbol underneath the table.

add dataset point

You can also import data points from .xls or .csv files by clicking the import button underneath the table and then choosing the file. Check the "Clear existing entries" checkbox if you want to remove the current data points and then click "Import".

import data points

The variable will by default have the name "X" and no unit. You can change the name by clicking on the current name and typing a new name. You can change the unit by hovering over the name and clicking the settings symbol over the name cell.

variable

Interpolation and extrapolation

Interpolation and extrapolation decides the values of the Vali between and beyond the specified points. It is used when datasets are used in calculations and evaluated.

Interpolation can be:

  • No interpolation - values are not defined between the points
  • Stepwise interpolation - constant value between points
  • Linear interpolation - linear function between points

Extrapolation can be:

  • No extrapolation - values are not defined outside of the data points range
  • Assume zero - values are all 0 outside of the data points range
  • Constant extrapolation - the values are constant outside of the data points range, defined by the first and last specified point
  • Continue interpolation - same extrapolation as specified interpolation

Calculating with datasets

When adding a dataset to a Vali, the formula will automatically be changed to average_of_datasets(), which means that the result of the Vali used in calculations is the dataset. The Vali can be used in normal calculations, e.g. Car.mass = sum_of_children() will sum up the masses of the subcomponents and if one of the subcomponents' masses is time-dependent Car.mass will also become time-dependent. Mathematical operations on datasets always do the operation point-wise, e.g. sqrt(Car.mass) will take the square root of each data point and the result itself will be a dataset.

Functions

Valis can be a function by defining a formula dependent on a function variable, such as vali = 2*X + 4. X is a function variable with a name and unit. The function variable can be valid in its full (infinite) range or can be limited so that the function is only valid between a minimum and maximum value.

Function variables

Function variables must start with a capital letter. X, T and Time and valid function variables while time is not. The name of the function variable is global throughout all Valis, meaning that if X is used in one function, it is the same X as used in another function.

Calculating with functions

Functions can be calculated with in normal calculation. As an example, if Vali1 = X^2 and Vali2 = 2*X then Vali3 = $Vali1 + $Vali2 will result in the function X^2 + 2*X. If two Valis with different variables are used in a calculation the result will be a multi-dimensional function.

Valis which are functions can be evaulated at any valid point of the function variable. For example, if Vali1 = X^2 you can specify Vali2 = $Vali1(1) which results in Vali2 = 1.