1. Reference problem

1.1. Geometry

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

1.2. Material properties

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

1.3. Boundary conditions and loads

Embedded points \(A\) and \(B\): \(u\mathrm{=}0\).

1.4. Initial conditions

Not applicable for modal analysis.