Figure 5.
Reduced-order description of the synchronized frequency conversion. (a) Time evolution of the magnets in terms of the linear eigenmode basis. (b) Energy distribution in each normal mode. The energy is concentrated in the third extended mode and in the two localized defect modes. (c) Mode profiles of the three most relevant eigenmodes. (d) Experimental time evolution of the third extended mode uE and the two localized modes uL1 and uL2 as a function of time. (e) Theoretical prediction for the time evolution of the eigenmodes. The theoretical predictions have been obtained using a 3 degrees of freedom reduced-order model. The numerical parameters used in (e) are: mE = 0.45 g, mL1 = 0.2318 g, mL2 = 0.2915 , fE = 0.7494 Hz, fL1 = 3.404 Hz, fL2 = 3.063 Hz, fI1 = 4.1 Hz, fI2 = 3.81 Hz, FI1 = FI2 = 42 µN, QE = 12.27, QL1 = 39.3, QL2 = 60.27, γ1 = −2.4293 N m−2, γ2 = 2.5761 N m−2. (Online version in colour.)