Direct decoupling of substructures using primal and dual formulation In the sequel, non collocated approach is used with NC =NE. The coupling DoF θ5 is always included among both compatibility and equilibrium DoFs. As demonstrated in section 3, primal and dual formulation give the same results when the number of equilibrium DoFs is the same as the number of compatibility DoFs. Fig. 18 shows the predicted rotational mobility of unknown subsystemA obtained using non collocated approach with compatibility at DoFs θ1 and θ5 and equilibrium at DoFs θ3 and θ5. Figure 19 is obtained by exchanging compatibility and equilibrium DoFs. The second option seems to give better results. Fig. 18 Rotational mobility at the coupling DoF of subsystem A: true (—), computed from fitted perturbed FRF (∗∗∗) with compatibility at DoFs θ1 and θ5 and equilibrium at DoFs θ3 and θ5 0 20 40 60 80 100 120 140 160 180 200 10−5 100 105 Frequency [Hz] Magnitude [rad s−1/(N m)] 0 20 40 60 80 100 120 140 160 180 200 −4 −2 0 2 4 Frequency [Hz] Phase [rad] Fig. 19 Rotational mobility at the coupling DoF of subsystem A: true (—), computed from fitted perturbed FRF (∗∗∗) with compatibility at DoFs θ3 and θ5 and equilibrium at DoFs θ1 and θ5 0 20 40 60 80 100 120 140 160 180 200 10−5 100 105 Frequency [Hz] Magnitude [rad s−1/(N m)] 0 20 40 60 80 100 120 140 160 180 200 −4 −2 0 2 Frequency [Hz] Phase [rad] 71
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