modelBeam

Information

Simple supported beam equation

Implements the simple supported beam equation

The initial conditions are

and boundary conditions are

Because the integrator block cannot accept the equation in this form, we transform the PDE above into two first-order PDEs:

The first equation is implemented in v block, the second in w block.
The analytical solution of this problem is implemented in SSBAnalytic block.

Release Notes:

    Components

    TypeNameDefaultDescription
    Integrator.UniversalIntegratorv
    World.worldModelworldModel1
    Integrator.UniversalIntegratorw
    Modelica.Blocks.Math.Gain[worldModel1.n]gain
    Modelica.Blocks.Sources.RealExpressionBCLu
    Modelica.Blocks.Sources.RealExpressionBCRu
    Modelica.Blocks.Sources.RealExpression[worldModel1.n]ICv
    SSBICsSBIC
    Modelica.Blocks.Sources.RealExpressionBCLv
    Modelica.Blocks.Sources.RealExpressionBCRv
    SSBAnalyticsSBAnalytic
    SpaceDerivative.Derivatives.u_xxu_xx
    SpaceDerivative.Derivatives.u_xxu_xx1