1. Reference problem

1.1. Geometry

Point masses:	\({m}_{{P}_{1}}={m}_{{P}_{2}}={m}_{{P}_{3}}=\dots \dots ={m}_{{P}_{8}}=m\)
Link stiffness:	\({k}_{\mathrm{AP1}}={k}_{\mathrm{P1P2}}={k}_{\mathrm{P2P3}}=\dots \dots ={k}_{\mathrm{P8B}}=k\)
Viscous damping:	\({C}_{\mathrm{P1P2}}={c}_{\mathrm{P2P3}}=\dots \dots ={C}_{\mathrm{P7P8}}=c\) \({C}_{\mathrm{AP1}}=\mathrm{cc}\) \({C}_{\mathrm{P8B}}=\mathrm{cd}\)

1.2. Material properties

Linear elastic translation spring	\(k={10}^{5}N/m\)
Point mass	\(m=10\mathrm{kg}\)
Link damping	\(c=50N/(m/s)\)
	\(\mathrm{cc}=250N/(m/s)\)
	\(\mathrm{cd}=25N/(m/s)\)

1.3. Boundary conditions and loads

Embedded \(A\) and \(B\) points: \(u=0\)

Loading: Non-periodic concentrated force at point \(\mathrm{P4}\)

	Point \(\mathrm{P4}\)	\({F}_{{x}_{4}}=F(t)0\le t\le \mathrm{1s}\) \(t>\mathrm{1s}\)	\(F(t)=\mathrm{1N}=\mathrm{constante}\) \(F(t)=0\)

1.4. Initial conditions

For \(t=0\), in every way \({P}_{i}\): \(u=0\), \(\frac{\mathrm{du}}{\mathrm{dt}}=0\).