Finally, the natural frequency and damping ratio as function of the mount displacement amplitude of a system with combined nonlinearities (cubic stiffness + quadratic damping) are shown in Fig.6 (a) (b) Fig.6: CONCERTO’s analysis of both FRF and transmissibility of a system with a combination of nonlinearities (hardening cubic spring + quadratic damping): (a) natural frequency and (b) damping as functions of the response displacement amplitude 0 0.002 0.004 0.006 0.008 0.01 10.05 10.1 10.15 10.2 10.25 10.3 10.35 10.4 10.45 10.5 Cubic Stiffness + Quadratic damping Displacement [m] Natural Frequency [Hz] 0.2 N 0.4 N 1 N 0.15 mm 0.3 mm 0.5 mm 0 0.002 0.004 0.006 0.008 0.01 0 0.5 1 1.5 2 2.5 3 3.5 Displacement [m] damping ratio [%] 0.2 N 0.4 N 1 N 0.15 mm 0.3 mm 0.5 mm Effective deformation [m] Effective deformation [m] 488
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