Fig. 3

Theoretical model of weak-coupling in a mechanical resonator array. a Amplitude vs. frequency response of the 9-cantilever array calculated using the theoretical model. The first (fundamental) CEC is studied, where cantilever deflection increases monotonically from the base to the free end. Results given as a function of substrate elasticity (relative to the cantilever elastic modulus) and quality factor. Reducing substrate elasticity and increasing the \(Q\)-factor enhances the weak-coupling peaks, which is consistent with Eq. (9). b Weak-coupling peak centered at 39.76 kHz, for substrate modulus 10 times smaller than cantilevers; compare with Fig. 1a. c Phase response for substrate modulus 10 times smaller than cantilever; compare with Fig. 1a