28 K. Napolitano and D. Cloutier Table 3.1 Structure properties and node dependencies Table 3.2 Baseline full system modes ModeNo. Frequency Hz ModeNo. Frequency Hz ModeNo. Frequency Hz 1 0.00 7 9.45 13 67.90 2 0.00 8 10.47 14 70.43 3 0.00 9 17.78 15 76.42 4 0.00 10 19.08 16 117.47 5 0.00 11 35.83 17 122.33 6 0.00 12 64.86 18 299.73 Table 3.3 Constraint shapes Singular value shapes DOF 1 2 3 4 5 6 102X+ 0.002 −0.001 −0.036 0.002 −0.026 −0.001 102Y+ 0.005 −0.101 −0.584 −0.039 0.786 0.017 102Z+ −0.001 0.081 −0.009 −0.102 0.014 −0.698 103X+ 0.997 0.022 −0.041 0.004 −0.037 0.000 103Y+ 0.009 −0.009 −0.023 −0.006 0.104 0.002 103Z+ −0.016 0.659 −0.043 0.735 0.092 −0.099 104X+ 0.016 −0.010 −0.362 0.020 −0.259 −0.005 104Y+ 0.017 −0.008 0.013 −0.008 0.130 0.003 104Z+ 0.016 −0.738 0.067 0.659 −0.010 −0.112 105X+ −0.067 −0.023 −0.720 0.040 −0.515 −0.010 105Y+ 0.009 −0.009 −0.023 −0.006 0.104 0.002 105Z+ 0.002 −0.059 0.002 −0.110 0.004 −0.700 Six independent relative motion constraint shapes were calculated by performing a singular value decomposition of the relative motion FRFs. The constraint shapes are shown in Table 3.3. DOFs 102 through 105 correspond to the relative displacements across nodes 2 through 5 and nodes 12 through 15, respectively.
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