Modelica.Math.Nonlinear.Examples.UtilityFunctions

Information

This package provides utility functions that are used as input arguments to the example functions.

Extends from Modelica.Icons.Package (Icon for standard packages).

Package Content

Name	Description
fun1	y = u^2 - 1
fun2	y = 3*u - sin(w*u) - 1
fun3	y = p[1] + log(p[2]*u) - m*u
fun4	y = sin(u)
fun5	y = sin(w*u)
fun6	y = sqrt(1/(1 - k^2*sin(u)^2))
fun7	y = A*sin(w*u)*q(t)

Modelica.Math.Nonlinear.Examples.UtilityFunctions.fun1

Information

Inputs

Type	Name	Default	Description
Real	u		Independent variable

Outputs

Type	Name	Description
Real	y	Dependent variable y=f(u)

Modelica definition

function fun1 "y = u^2 - 1"
  extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
algorithm 
  y := u^2 - 1;
end fun1;

Modelica.Math.Nonlinear.Examples.UtilityFunctions.fun2

Information

Inputs

Type	Name	Default	Description
Real	u		Independent variable
Real	w		Angular velocity

Outputs

Type	Name	Description
Real	y	Dependent variable y=f(u)

Modelica definition

function fun2 "y = 3*u - sin(w*u) - 1"
  extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
  input Real w "Angular velocity";
algorithm 
  y := 3*u - sin(w*u) - 1;

end fun2;

Modelica.Math.Nonlinear.Examples.UtilityFunctions.fun3

Information

Inputs

Type	Name	Default	Description
Real	u		Independent variable
Real	p[2]
Real	m

Outputs

Type	Name	Description
Real	y	Dependent variable y=f(u)

Modelica definition

function fun3 "y = p[1] + log(p[2]*u) - m*u"
  extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
  input Real p[2];
  input Real m;
algorithm 
  y := p[1] + log(p[2]*u) - m*u;

end fun3;

Modelica.Math.Nonlinear.Examples.UtilityFunctions.fun4

Information

Inputs

Type	Name	Default	Description
Real	u		Independent variable

Outputs

Type	Name	Description
Real	y	Dependent variable y=f(u)

Modelica definition

function fun4 "y = sin(u)"
  extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
algorithm 
  y := sin(u);
end fun4;

Modelica.Math.Nonlinear.Examples.UtilityFunctions.fun5

Information

Inputs

Type	Name	Default	Description
Real	u		Independent variable
Real	w		Angular velocity

Outputs

Type	Name	Description
Real	y	Dependent variable y=f(u)

Modelica definition

function fun5 "y = sin(w*u)"
  extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
  input Real w "Angular velocity";
algorithm 
  y := sin(w*u);
end fun5;

Modelica.Math.Nonlinear.Examples.UtilityFunctions.fun6

Information

Inputs

Type	Name	Default	Description
Real	u		Independent variable
Real	k		Modul

Outputs

Type	Name	Description
Real	y	Dependent variable y=f(u)

Modelica definition

function fun6 "y = sqrt(1/(1 - k^2*sin(u)^2))"
  extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
  input Real k "Modul";
algorithm 
  y := sqrt(1/(1 - k^2*sin(u)^2));
end fun6;

Modelica.Math.Nonlinear.Examples.UtilityFunctions.fun7

Information

Inputs

Type	Name	Default	Description
Real	u		Independent variable
Real	A		Amplitude
Real	w		Angular frequency

Outputs

Type	Name	Description
Real	y	Dependent variable y=f(u)

Modelica definition

function fun7 "y = A*sin(w*u)*q(t)"
  extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
  input Real A "Amplitude";
  input Real w "Angular frequency";
algorithm 
  y := A*sin(w*u);
end fun7;