2. Reference solution#

2.1. Calculation method#

Here we treat a (almost) -one-dimensional structure problem subject to edge force, \(F(t)\), where the analytical solution can be written as,

\(u(x,t)={Q}_{0}\mathrm{cos}(Kx)\mathrm{sin}(\omega t)\)

In order to obtain this solution, the force and the initial conditions specified above must be applied. The settings are also commented there.

This is move \(x\) to node \(A2\) and right now, \({t}_{\mathit{max}}=0.0012s\), which should be equal to

\(u({x}_{A\mathrm{2,}t})={Q}_{0}\mathrm{cos}(K{x}_{A2})\mathrm{sin}(\mathrm{\omega }{t}_{\mathit{max}})\)

the value being calculated in the data file from the selected values of the parameters.

Exact solution.