(12) (13) KE from Sim6m Acceleration KE from New2 Acceleration Figure 14 – 6 DOF Linear Model Total Kinetic Energies from Relative Velocities Max KE from Sim6m = 8,707/2.0917= 4,163 in2/sec2 Max KE from New2= 7,379/2.0917= 3,528 in2/sec2 The maximum numerical values for the linear 6 DOF model corresponding to Figure 14 are given above. The corresponding values for the nonlinear model were determined with the same procedure. IID – Comparison of 6 DOF Model energies with Relative Energy Response Spectra The maximum relative energies from the 6 DOF model were determined using the above procedure and plotted on the graph for relative energy response spectra, Figure 14. For the linear system (4.8 Hz) the energies from the 6 DOF model was reasonably close to not only the respective energy response spectra for both Sim6m and New2, but also close to each other (4163 and 3528, respectively). This is consistent with the prior findings that the displacements resulting from the two base accelerations were reasonably close. Note that the ratio of the 6 DOF maximum energies for KE(New2)/KE(Sim6m) = 0.847. The KEmax ratio can be estimated from the maximum displacements assuming sinusoidal behavior (which appears to be a good approximation from the linear model results of Figures 7 and 8) using (14). 0.842 0.671 1.516 0.671 1.516 2 1 2 1 2 6 3 2 2 2 1 2 2 3 2 2 2 1 3 1 6 2 max 2 2 max 6 max 2 max Sim m New i Sim m i i New i i Sim m New z z z z z z M z M z KE KE (14) 3 1 2 2 2 1 2 1 i i i i i I Total KE M z & Total mass Total KE unit mass KE max max 170
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