Figure 35.

Velocity fields as determined with an FEM simulation in two dimensions. A cylinder attached to a plate gives rise to two coupled resonances. The diameter of the cylinder was 4 µm. The link to the substrate is 600 nm wide and 100 nm thick. Its shear modulus is 1 GPa. The colors encode the local tangential velocity. The frequencies are 1 MHz, 4.2 MHz, 54 MHz, and 90 MHz in panels (A–D), respectively. In panels (A,C), the motion of the sphere is locked to the substrate and to the bulk, respectively. The sphere forms an inertial load in (A) and an elastic load in (D). In panels (B,C), the amplitude of motion of the sphere is large. In (B), the sphere rotates about the contact, in (C) it rotates about its center. Adapted from [171].