2. Benchmark solution#

2.1. Calculation method used for the reference solution#

Analytical solution: the displacement for an element is given by: \(\mathit{Ux}\mathrm{=}F\mathrm{/}\mathit{Kx}\)

So for \(n\) springs: \(\mathit{Ux}\mathrm{=}nF\mathrm{/}\mathit{Kx}\)

Values of the displacement for \(x\mathrm{=}L\mathrm{/}2\) and \(X\mathrm{=}L\), as well as of the effort in the elements (constant):

\(U(L\mathrm{/}2)\mathrm{=}0.05m\), \(U(L)\mathrm{=}0.1m\), \(N\mathrm{=}\mathrm{10N}\)

Exact analytical solution.